MATHEMATICS MATHEMATIK 2020 - De Gruyter
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MATHEMATICS MATHEMATIK 2020 degruyter.com
SINCE 1826
JOURNAL FÜR DIE REINE UND
ANGEWANDTE MATHEMATIK
Managing Editor: Rainer Weissauer
Edited by Tobias Colding, Daniel Huybrechts, Jun-Muk Hwang, Geordie Williamson
SUBSCRIPTION RATES FOR 2020
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IMPACT
FACTOR 12 issues per year
2018: Language of Publication
1.859 English, German, French
ISSN 0075-4102
e-ISSN 1435-5345
Rich publishing tradition reaching back to 1826
One of the top journals in mathematics
Internationally recognized editorial board
Large circulation
Strict peer review
The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded
in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the
name of Crelle’s Journal. In the 190 years of its existence, Crelle’s Journal has developed to an outstanding scholarly
periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathe-
matics periodicals, as listed in ISI’s Journal Citation Report.
Managing Editor
Rainer Weissauer, Ruprecht-Karls-Universität Heidelberg, Germany.
Editors
Tobias H. Colding, Massachusetts Institute of Technology, Cambridge, MA, USA; Daniel Huybrechts, Universität
Bonn, Germany; Jun-Muk Hwang, Korea Institute for Advanced Study, Seoul, Republic of Korea; Geordie Williamson,
University of Sydney, Australia.Dear Readers, MATHEMATICS
MATHEMATIK
It is our pleasure to present to you our mathematics program of books and
journals for 2020. 3
In the following pages, you can find our forthcoming monographs in pure and
applied mathematics and in mathematical physics as well as our new textbooks. PHYSICS
Included is also a selection of mathematical journals, like our flagship Journal für PHYSIK
die reine und angewandte Mathematik (Crelle’s Journal) or Forum Mathematicum 20
as well as other successful journals such as Advances in Nonlinear Analysis and
Computational Methods in Applied Mathematics.
JOURNALS AND YEARBOOKS
We believe that the selection of topics you will find in this year’s catalog is broad ZEITSCHRIFTEN UND JAHRBÜCHER
enough to cover all aspects of modern mathematics, and we hope that our books
and journals will be of great value to the mathematical community as a whole. 22
TITLES OF OUR PUBLISHER PARTNERS
Liebe Leser,
TITEL UNSERER PUBLISHER PARTNER
wir freuen uns, Ihnen unser Mathematikprogramm mit den Büchern und
30
Zeitschriften für 2020 vorzustellen.
Auf den folgenden Seiten präsentieren wir Ihnen unsere neuen Monografien
aus mehreren Bereichen der reinen und angewandten Mathematik und der INDEX
mathematischen Physik sowie unsere neuen Lehrbücher. Außerdem enthalten 32
ist eine Auswahl von mathematischen Zeitschriften wie das Journal für die
reine und angewandte Mathematik (Crelles Journal) oder Forum Mathematicum
sowie andere erfolgreiche Zeitschriften wie Advances in Nonlinear Analysis und
Computational Methods in Applied Mathematics.
FACES BEHIND THE SCENES
33
Die große Auswahl an Themen im diesjährigen Katalog deckt unserer Meinung
nach sämtliche Aspekte der modernen Mathematik ab. Wir hoffen, dass unsere
Bücher und Zeitschriften allen Mathematikinteressierten von besonderem Nutzen
sein werden.
Editorial Team STEM
Copy Date/Redaktionsschluss 08/2019
Cover Jonas Leute
Die Cover der Kataloge von De Gruyter präsentieren den Siegerentwurf eines Grafikwettbewerbs,
den der Verlag in Kooperation mit dem Lette-Verein Berlin jährlich durchführt. Die Aufgabe war, eine
Motivserie mit dem Thema „Impulsgeber“ zu entwickeln und diesen Begriff visuell zu interpretieren.
Die Motive sollten sich als Fortsetzung über alle Katalogcover durchziehen. Wir danken dem Gewinner
Jonas Leue für seine gelungene Umsetzung. Sein Entwurf zeigt verschiedene Momentaufnahmen von
Lichtquellen und Funken, stellvertretend für den Impuls, der von wissenschaftlicher Literatur für den
gesellschaftlichen Fortschritt ausgeht.
The images on our catalogues are the product of a design competition that is carried out each year by
De Gruyter in cooperation with Lette Verein Berlin, a vocational training association. Participants desig-
ned a series of images that visually interpret the topic “impulse”. We would like to thank the Jonas Leue
for his winning entry. His images show various snapshots of light and sparks, representing the impulse
that scholarly literature provides to support progress in society.
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degruyter.com/newsletter 1DE GRUYTER
STUDIES IN MATHEMATICS
Edited by Carsten Carstensen, Gavril Farkas, Nicola Fusco, Fritz Gesztesy, Niels Jacob,
Zenghu Li, Karl-Hermann Neeb
The series is devoted to the publication of monographs and high-level textbooks in mathe-
matics, mathematical methods and their applications. Apart from covering important areas of
current interest, a major aim is to make topics of an interdisciplinary nature accessible to the
non-specialist. The works in this series are addressed to advanced students and researchers in
mathematics and theoretical physics. In addition, it can serve as a guide for lectures and semi-
nars on a graduate level.
The series De Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Profes-
sor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs
and textbooks of high standard, written by scholars with an international reputation presenting
current fields of research in pure and applied mathematics.
While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In
times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are
needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial
board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community.
Recent and Forthcoming Titles
Volume 34/1 Volume 34/2 Volume 41 Volume 63
FEYNMAN-KAC-TYPE THEOREMS FEYNMAN-KAC-TYPE THEOREMS Ulrich Knauer, Kolja Knauer Evguenii A. Rakhmanov
AND GIBBS MEASURES ON PATH AND GIBBS MEASURES ON PATH ALGEBRAIC GRAPH THEORY ORTHOGONAL POLYNOMIALS
SPACE SPACE Morphisms, Monoids and Matrices 05/2020. Approx. x 500 pages
József Lörinczi, Fumio Hiroshima, József Lörinczi, Fumio Hiroshima 2019. 2nd rev. and ext. ed., HC RRP € 149.95 [D]/
Volker Betz VOLUME 2: APPLICATIONS IN x, 360 pp., 145 fig., 20 schedules US$ 172.99/£ 136.50
VOLUME 1: FEYNMAN-KAC-TYPE RIGOROUS QUANTUM FIELD HC RRP € 103.95 [D]/ ISBN 978-3-11-031385-7
FORMULAE AND GIBBS THEORY US$ 119.99/£ 94.50 eBook RRP € 149.95 [D]/
MEASURES 12/2019. 2nd rev. ed., ISBN 978-3-11-061612-5 US$ 172.99/£ 136.50
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ePUB ISBN 978-3-11-061628-6 page 11
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PDF ISBN 978-3-11-033039-7 ePUB ISBN 978-3-11-040360-2
ePUB ISBN 978-3-11-038993-7
Volume 72 Volume 73 Flavia Smarrazzo, Alberto Tesei Elena Cordero, Luigi Rodino
Francesco Aldo Costabile Carol Jacoby, Peter Loth MEASURE THEORY TIME-FREQUENCY ANALYSIS
MODERN UMBRAL CALCULUS ABELIAN GROUPS Radon Measures, Young Measures, OF OPERATORS
An Elementary Introduction with Structures and Classifications and Applications to Parabolic 04/2020. Approx. xii, 250 pages
Applications to Linear Interpolation Problems HC RRP € 86.95 [D]/
2019. xiv, 328 pages
and Operator Approximation Theory HC RRP € 109.95 [D]/ 08/2020. Approx. xii, 300 pages US$ 99.99/£ 79.00
2019. xvi, 257 pages, 30 fig., US$ 126.99/£ 100.00 HC RRP € 99.95 [D]/ ISBN 978-3-11-053035-3
15 schedules ISBN 978-3-11-043211-4 US$ 114.99/£ 91.00 eBook RRP € 86.95 [D]/
HC RRP € 103.95 [D]/ eBook RRP € 109.95 [D]/ ISBN 978-3-11-055600-1 US$ 99.99/£ 79.00
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ISBN 978-3-11-064996-3 PDF ISBN 978-3-11-042768-4 US$ 114.99/£ 91.00 ePUB ISBN 978-3-11-053060-5
eBook RRP € 103.95 [D]/ ePUB ISBN 978-3-11-042786-8 PDF ISBN 978-3-11-055690-2
ePUB ISBN 978-3-11-055604-9 page 12
US$ 119.99/£ 94.50
PDF ISBN 978-3-11-065292-5
page 12
ePUB ISBN 978-3-11-065009-9Mathematik – Mathematics
Alcides Lins Neto, Bruno Scárdua Marek Jarnicki, Peter Pflug Aron Simis
COMPLEX EXTENSION OF GRADED ALGEBRAS
ALGEBRAIC HOLOMORPHIC IN ALGEBRAIC
FOLIATIONS FUNCTIONS GEOMETRY
This book is a basic reference in the modern theory This second extended edition of the classic refer- The objective of this book is to look at certain
of holomorphic foliations, presenting the interplay ence on the extension problem of holomorphic commutative graded algebras that appear frequently
between various aspects of the theory and utilizing functions in pluricomplex analysis contains a in algebraic geometry. By studying classical con-
methods from algebraic and complex geometry wealth of additional material, organized under the structions from geometry from the point of view of
along with techniques from complex dynamics and original chapter structure, and covers in a self- modern commutative algebra, this carefully-written
several complex variables. The result is a solid in- contained way all new and recent developments and book is a valuable source of information, offering a
troduction to the theory of foliations, covering basic theorems that appeared since the publication of the careful algebraic systematization and treatment of
concepts through modern results on the structure of first edition about twenty years ago. the problems at hand, and contributing to the study
foliations on complex projective spaces. Marek Jarnicki, Jagiellonian University in of the original geometric questions.
Bruno Scárdua, Universidade Federal do Rio de Kraków, Poland; Peter Pflug, Carl von Ossietzky Aron Simis, Federal University of Pernambuco and
Janeiro, Brazil; Alcides Lins Neto, Instituto de University of Oldenburg, Germany. Brazilian Academy of Sciences, Brazil.
Matemática Pura e Aplicada, Brazil.
Monograph, English, 4th quarter 2020 Monograph, English, 3rd quarter 2020
Monograph, English, 1st quarter 2020
Series Series
Series De Gruyter Expositions in Mathematics De Gruyter Expositions in Mathematics
De Gruyter Expositions in Mathematics
2nd rev. and exten. edition Approx. 212 pp.
Approx. 312 pp., 10 fig. Approx. 612 pp. HCRRP € 103.95 / *US$ 119.99 / *£ 94.50
HCRRP € 112.95 / *US$ 129.99 / *£ 102.50 HCRRP € 129.95 / *US$ 149.99 / *£ 118.00 ISBN 978-3-11-063754-0
ISBN 978-3-11-060107-7 ISBN 978-3-11-062766-4 eBookRRP € 103.95 / *US$ 119.99 / *£ 94.50
eBookRRP € 112.95 / *US$ 129.99 / *£ 102.50 eBookRRP € 129.95 / *US$ 149.99 / *£ 118.00 PDF ISBN 978-3-11-064069-4
PDF ISBN 978-3-11-060205-0 PDF ISBN 978-3-11-063027-5 ePUB ISBN 978-3-11-063775-5
ePUB ISBN 978-3-11-059451-5 ePUB ISBN 978-3-11-062769-5
degruyter.com/newsletter 3Mathematik – Mathematics
Yuri A. Bahturin Galina Filipuk, Alberto Lastra, Paul Baginski, Benjamin Fine, Anja
Sławomir Michalik, Yoshitsugu Takei, Moldenhauer, Gerhard Rosenberger,
IDENTICAL RELATIONS Henryk Żołądek (Eds.) Vladimir Shpilrain (Eds.)
IN LIE ALGEBRAS COMPLEX ELEMENTARY
This updated edition of a classic title studies DIFFERENTIAL THEORY OF GROUPS
identical relations in Lie algebras and also in other
classes of algebras, a theory with over 40 years of
AND DIFFERENCE AND GROUP RINGS,
development in which new methods and connec- EQUATIONS AND RELATED TOPICS
tions with other areas of mathematics have arisen. Proceedings of the School and Proceedings of the Conference held at
New topics covered include graded identities, Conference held at Będlewo, Poland, Fairfield University and at the Graduate
identities of algebras with actions and coactions September 2–15, 2018 Center, CUNY, November 1–2, 2018
of various Hopf algebras, and the representation
theory of the symmetric and general linear group. With a balanced combination of longer survey This proceedings volume documents the contribu-
Yuri A. Bahturin, Memorial University of articles and shorter, peer-reviewed research-level tions presented at the conference held at Fairfield
Newfoundland, Canada. presentations on the topic of differential and differ- University and at the Graduate Center, CUNY
ence equations on the complex domain, this edited in 2018 celebrating the New York Group Theory
Monograph, English, 2nd quarter 2020 volume presents an up-to-date overview of areas Seminar, in memoriam Gilbert Baumslag, and to
such as WKB analysis, summability, resurgence, honor Benjamin Fine and Anthony Gaglione. It
Series formal solutions, integrability, and several algebraic includes several expert contributions by leading
De Gruyter Expositions in Mathematics aspects of differential and difference equations. figures in the group theory community and provides
G. Filipuk, S. Michalik, and H. Żołądek, Warsaw, a valuable source of information on recent research
Approx. 462 pp., 10 fig. Poland; A. Lastra, Alcalá, Spain; G. Łysik, Kielce, developments.
HCRRP € 112.95 / *US$ 129.99 / *£ 102.50 Poland; Y. Takei, Kyoto, Japan. P. Baginski and B. Fine, Fairfield U., USA;
ISBN 978-3-11-056557-7 A. Moldenhauer and G. Rosenberger,
eBookRRP € 112.95 / *US$ 129.99 / *£ 102.50 Monograph, English, 4th quarter 2019 U. Hamburg, Germany; V. Shpilrain, CUNY, USA.
PDF ISBN 978-3-11-056665-9
ePUB ISBN 978-3-11-056570-6 Series Monograph, English, 1st quarter 2020
De Gruyter Proceedings in Mathematics
Series
Approx. 492 pp., 17 fig. De Gruyter Proceedings in Mathematics
HCRRP € 129.95 / *US$ 149.99 / *£ 118.00
ISBN 978-3-11-060952-3 Approx. 212 pp.
eBookRRP € 129.95 / *US$ 149.99 / *£ 118.00 HCRRP € 112.95 / *US$ 129.99 / *£ 102.50
PDF ISBN 978-3-11-061142-7 ISBN 978-3-11-063673-4
ePUB ISBN 978-3-11-060961-5 eBookRRP € 112.95 / *US$ 129.99 / *£ 102.50
PDF ISBN 978-3-11-063838-7
ePUB ISBN 978-3-11-063709-0
4 degruyter.com D Database J Journal T Textbook Y Yearbook Open AccessMathematik – Mathematics
James A. Davis (Ed.) Alexander V. Bobylev
FINITE FIELDS KINETIC
AND THEIR EQUATIONS
APPLICATIONS Volume 1. Boltzmann Equation, Maxwell
Models, and Hydrodynamic Asymptotics
Proceedings of the 14th International
Conference on Finite Fields and their
This two-volume monograph is a comprehensive
Applications, Vancouver, June 3–7, 2019
and up-to-date presentation of the theory and ap-
plications of kinetic equations. The first volume
The volume covers wide-ranging topics from
covers many-particle dynamics, Maxwell models of
Theory: structure of finite fields, normal bases,
the Boltzmann equation (including their exact and
polynomials, function fields, APN functions. Com-
self-similar solutions), and hydrodynamic limits
putation: algorithms and complexity, polynomial
beyond the Navier-Stokes level.
factorization, decomposition and irreducibility
testing, sequences and functions. Applications: Alexander Bobylev, Russian Academy of
algebraic coding theory, cryptography, algebraic Sciences, Russian Federation.
geometry over finite fields, finite incidence geom-
etry, designs, combinatorics, quantum information Monograph, English, 3rd quarter 2020
science.
James A. Davis, Richmond, VA Series
De Gruyter Series in Applied and Numerical
Mathematics
Monograph, English, 2nd quarter 2020
Approx. 312 pp., 10 fig.
Series
HCRRP € 99.95 / *US$ 114.99 / *£ 91.00
De Gruyter Proceedings in Mathematics
ISBN 978-3-11-055012-2
eBookRRP € 99.95 / *US$ 114.99 / *£ 91.00
Approx. 300 pp.
PDF ISBN 978-3-11-055098-6
HCRRP € 139.95 / *US$ 160.99 / *£ 127.00
ISBN 978-3-11-062123-5
ePUB ISBN 978-3-11-055017-7
TRIED
eBookRRP € 139.95 / *US$ 160.99 / *£ 127.00
PDF ISBN 978-3-11-062173-0
AND TRUSTED
ePUB ISBN 978-3-11-062217-1 TEXTBOOKS
Discover our diverse
range of titles on topics
across the humanities
and natural sciences
degruyter.com/textbooks
degruyter.com/newsletter 5Mathematik – Mathematics
Stelios Georgiou, Christos Koukouvinos George Dassios, Athanassios S. Fokas Vlajko L. Kocic, Candace M. Kent
COMBINATORIAL ELECTRO- NONLINEAR
DESIGNS ENCEPHALOGRAPHY NONAUTONOMOUS
Selected Topics and Open Problems AND MAGNETO- DIFFERENCE
This book covers the interplay between combina- ENCEPHALOGRAPHY EQUATIONS
torics, coding theory, and cryptography. It strikes An Analytical-Numerical Approach Global Behavior and Applications
a good balance between theoretical material and
applications, covering the background, recent Electroencephalography and magnetoencephalog- The aim of this monograph is to initiate and facili-
results, and new developments. A standard course raphy are the two most efficient techniques to study tate a systematic study of the global asymptotic
for combinatorial designs, coding theory and cryp- the functional brain. This book completely aswers behavior of nonlinear nonautonomous difference
tography; an excellent reference for the researcher the fundamental mathematical question of unique- equations. In addition to general classes of nonau-
and a comprehensive guide for the enthusiastic ness of the representations obtained using these tonomous equations, a focus lies on special classes
practitioner. techniques, and also covers many other concrete including periodic and asymptotically autonomous
Combinatorial Design Theory, Coding Theory; results for special geometric models of the brain, equations. Extreme stability (path stability) as well
Cryptography; Combinatorial algorithms presenting the research of the authors and their as global asymptotic stability in periodic equations
Christos Koukouvinos and Dimitris E. Simos, groups in the last two decades. is studied.
Athens, Greece; Stelios Georgiou, Melbourne, George Dassios, Univ. of Patras, Greece; Vlajko L. Kocic, Xavier University of Lousiana,
Australia. Athanassios S. Fokas, Univ. of Cambridge, UK USA; Candace M. Kent, Virginia Commonwealth
and Univ. of Southern California, USA. University, USA.
Monograph, English, 2nd quarter 2020
Monograph, English, 4th quarter 2020 Monograph, English, 1st quarter 2020
Series
De Gruyter Series in Discrete Mathematics and Series Series
Applications 3 De Gruyter Series in Mathematics and Life Sciences De Gruyter Series in Mathematics and Life Sciences
Approx. 232 pp., 10 fig. Approx. 312 pp., 20 fig. 312 pp., 30 fig.
HCRRP € 139.95 / *US$ 160.99 / *£ 127.00 HCRRP € 119.95 / *US$ 137.99 / *£ 109.00 HCRRP € 99.95 / *US$ 114.99 / *£ 91.00
ISBN 978-3-11-029408-8 ISBN 978-3-11-054583-8 ISBN 978-3-11-048205-8
eBookRRP € 139.95 / *US$ 160.99 / *£ 127.00 eBookRRP € 119.95 / *US$ 137.99 / *£ 109.00 eBookRRP € 99.95 / *US$ 114.99 / *£ 91.00
PDF ISBN 978-3-11-029434-7 PDF ISBN 978-3-11-054753-5 PDF ISBN 978-3-11-048302-4
ePUB ISBN 978-3-11-038192-4 ePUB ISBN 978-3-11-054578-4 ePUB ISBN 978-3-11-048248-5
6 degruyter.com D Database J Journal T Textbook Y Yearbook Open AccessMathematik – Mathematics
Piotr Biler Tomáš Roubiček Luboš Pick, Vit Musil, Alois Kufner,
Oldřich John, Svatopluk Fucík
SINGULARITIES OF RELAXATION IN
SOLUTIONS TO OPTIMIZATION FUNCTION
CHEMOTAXIS SYSTEMS THEORY SPACES, 1
The Keller-Segel model for chemotaxis is a proto-
AND VARIATIONAL This is the first part of the third corrected and
type of nonlocal systems describing concentration CALCULUS extended edition of a well established monograph.
It is an introduction to function spaces defined in
phenomena in physics and biology. While the two-
terms of differentiability and integrability classes. It
dimensional theory is by now quite complete, the The relaxation method has enjoyed an intensive
provides a catalogue of various spaces and benefits
questions of global-in-time solvability and blowup development during many decades and this new
as a handbook for those who use function spaces to
characterization are largely open in higher dimen- edition of this comprehensive text reflects in par-
study other topics such as partial differential equa-
sions. In this book, global-in-time solutions are ticular the main achievements in the past 20 years.
tions. Volume 1 deals with Banach function spaces,
constructed under (nearly) optimal assumptions on Moreover, many further improvements and exten-
Volume 2 with Sobolev-type spaces.
initial data and rigorous blowup criteria are derived. sions are included, both in the direction of optimal
control and optimal design as well as in numerics Luboš Pick, Oldřich John, Charles Univ., Prague,
Piotr Biler, University of Wrocław, Poland.
and applications in materials science, along with Czech Rep.; Alois Kufner, The Academy of Sci.,
an updated treatment of the abstract parts of the Prague, Czech Rep.; Svatopluk Fučík †.
Monograph, English, 1st quarter 2020
theory.
Monograph, English, 1st quarter 2020
Series Tomáš Roubiček, Charles University and Czech
De Gruyter Series in Mathematics and Life Sciences Academy of Sciences, Prague, Czech Republic.
Series
De Gruyter Series in Nonlinear Analysis and
Approx. 212 pp. Monograph, English, 1st quarter 2020
Applications 14
HCRRP € 103.95 / *US$ 119.99 / *£ 94.50
ISBN 978-3-11-059789-9 Series
3rd corr. and exten. ed.
eBookRRP € 103.95 / *US$ 119.99 / *£ 94.50 De Gruyter Series in Nonlinear Analysis and
515 pp., 10 fig.
PDF ISBN 978-3-11-059953-4 Applications 4
HCRRP € 138.95 / *US$ 159.99 / *£ 126.50
ePUB ISBN 978-3-11-059862-9
ISBN 978-3-11-058177-5
Approx. 562 pp., 40 fig.
eBookRRP € 138.95 / *US$ 159.99 / *£ 126.50
HCRRP € 120.95 / *US$ 139.99 / *£ 110.00
PDF ISBN 978-3-11-058328-1
ISBN 978-3-11-058962-7
ePUB ISBN 978-3-11-058186-7
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PDF ISBN 978-3-11-059085-2
ePUB ISBN 978-3-11-058974-0
degruyter.com/newsletter 7Mathematik – Mathematics
Luboš Pick, Vit Musil, Alois Kufner, Cyril Tintarev Tomasz W. Dłotko, Yejuan Wang
Oldřich John, Svatopluk Fucík
CONCENTRATION CRITICAL
FUNCTION COMPACTNESS PARABOLIC-TYPE
SPACES, 2 Functional-Analytic Theory of PROBLEMS
Concentration Phenomena
This is the second part of the second revised and
This self-contained book covers the theory of semi-
extended edition of the well established monograph Concentration compactness methods are applied to linear equations with sectorial operator going back
about Function Spaces. It is an introduction to PDE’s that lack compactness properties, typically to the studies of Yosida, Henry, and Pazy, which
function spaces defined in terms of differentiability due to the scaling invariance of the underlying are deeply extended nowadays. The treatment
and integrability classes. It provides a catalogue problem. This monograph presents a systematic emphasizes existence-uniqueness theory as a topic
of various spaces and benefits as a handbook for functional-analytic presentation of concentration of functional analysis and examines abstract evo-
those who use function spaces to study other topics mechanisms and is by far the most extensive and lutionary equations, with applications to the Navier-
such as partial differential equations. Volume 1 systematic collection of mathematical tools for Stokes system, the quasi-geostrophic equation, and
deals with Banach function spaces, Volume 2 with analyzing the convergence of functional sequences fractional reaction-diffusion equations.
Sobolev-type spaces. via the mechanism of concentration.
Tomasz W. Dłotko, University of Silesia in
Luboš Pick, Charles University, Prague, Cyril Tintarev, Uppsala University, Sweden. Katowice, Poland; Yejuan Wang, Lanzhou
Czech Republic; Alois Kufner, The Academy of
University, P. R. China.
Sciences of the Czech Republic, Prague, Monograph, English, 4th quarter 2020
Czech Republic; Oldřich John, Charles University,
Monograph, English, 2nd quarter 2020
Prague, Czech Republic; Svatopluk Fučík †.
Series
De Gruyter Series in Nonlinear Analysis and Series
Monograph, English, 1st quarter 2020
Applications De Gruyter Series in Nonlinear Analysis and
Applications
Series Approx. 212 pp.
De Gruyter Series in Nonlinear Analysis and HCRRP € 99.95 / *US$ 114.99 / *£ 91.00 Approx. 262 pp.
Applications 25 ISBN 978-3-11-053034-6 HCRRP € 103.95 / *US$ 119.99 / *£ 94.50
eBookRRP € 99.95 / *US$ 114.99 / *£ 91.00 ISBN 978-3-11-059755-4
2nd rev. and ext. ed. PDF ISBN 978-3-11-053243-2 eBookRRP € 103.95 / *US$ 119.99 / *£ 94.50
Approx. 310 pp. ePUB ISBN 978-3-11-053058-2 PDF ISBN 978-3-11-059983-1
HCRRP € 119.95 / *US$ 137.99 / *£ 109.00
ePUB ISBN 978-3-11-059868-1
ISBN 978-3-11-027373-1
eBookRRP € 119.95 / *US$ 137.99 / *£ 109.00
PDF ISBN 978-3-11-032747-2
ePUB ISBN 978-3-11-038221-1
8 degruyter.com D Database J Journal T Textbook Y Yearbook Open AccessMathematik – Mathematics
Ireneo Peral Alonso, Fernando Soria Eduardo V. Teixeira Giovanni Molica Bisci, Patrizia Pucci
ELLIPTIC AND FREE BOUNDARY NONLINEAR
PARABOLIC PROBLEMS PROBLEMS WITH LACK
EQUATIONS A Primer OF COMPACTNESS
INVOLVING This book offers a comprehensive introduction to This authoritative book presents recent research re-
THE HARDY-LERAY modern techniques in the study of free boundary sults on nonlinear problems with lack of compact-
POTENTIAL problems of diffusive type. Applications of such
methods are thoroughly explained by emblematic
ness. The topics covered include several nonlinear
problems in the Euclidean setting as well as varia-
examples of the theory and several geometric tional problems on manifolds. The combination of
The scientific literature on the Hardy-Leray ideas and insights are carefully discussed, making deep techniques in nonlinear analysis with applica-
inequality, also known as the uncertainty principle, the text both accessible and appealing to a broad tions to a variety of problems make this work an
is very extensive and scattered. The Hardy-Leray readership working in partial differential equations, essential source of information for researchers and
potential shows an extreme spectral behavior and calculus of variations, and geometric analysis. graduate students working in analysis and PDE’s.
a peculiar influence on diffusion problems, both
Eduardo V. Teixeira, University of Central Giovanni Molica Bisci, Mediterranea University of
stationary and evolutionary. In this book, a big part
Florida, USA. Reggio Calabria, Italy; Patrizia Pucci, University
of the scattered knowledge about these different
behaviors is collected in a unified and comprehen- of Perugia, Italy.
Monograph, English, 1st quarter 2020
sive presentation.
Monograph, English, 4th quarter 2020
Ireneo Peral Alonso and Fernando Soria,
Series
Universidad Autónoma de Madrid, Spain.
De Gruyter Series in Nonlinear Analysis and Series
Applications De Gruyter Series in Nonlinear Analysis and
Monograph, English, 3rd quarter 2020
Applications
Approx. 312 pp., 10 fig.
Series HCRRP € 103.95 / *US$ 119.99 / *£ 94.50 Approx. 312 pp.
De Gruyter Series in Nonlinear Analysis and ISBN 978-3-11-057448-7 HCRRP € 112.95 / *US$ 129.99 / *£ 102.50
Applications eBookRRP € 103.95 / *US$ 119.99 / *£ 94.50 ISBN 978-3-11-064886-7
PDF ISBN 978-3-11-057636-8 eBookRRP € 112.95 / *US$ 129.99 / *£ 102.50
Approx. 412 pp., 10 fig. ePUB ISBN 978-3-11-057455-5 PDF ISBN 978-3-11-065201-7
HCRRP € 112.95 / *US$ 129.99 / *£ 102.50
ePUB ISBN 978-3-11-064893-5
ISBN 978-3-11-060346-0
eBookRRP € 112.95 / *US$ 129.99 / *£ 102.50
PDF ISBN 978-3-11-060627-0
ePUB ISBN 978-3-11-060560-0
degruyter.com/newsletter 9Mathematik – Mathematics
Gershon Wolansky Yuliya S. Mishura Fabrice Gamboa, Jan Nagel, Alain Rouault
OPTIMAL TRANSPORT DISCRETE-TIME LARGE DEVIATIONS,
A Semi-Discrete Approach APPROXIMATIONS MOMENT PROBLEMS,
This book focuses on problems at the interplay be- AND LIMIT THEOREMS AND SUM RULES
tween the theory of partitions and optimal transport With Applications to Financial Markets
with a view toward applications. Topics covered This book gives an overview of works concern-
include problems related to stable marriages and Financial market modeling is a prime example of ing large deviations and moment problems. The
stable partitions, multipartitions, optimal transport a real-life application of probability theory and topics covered include the use of large deviations
for measures and optimal partitions, and finally stochastics. This authoritative book discusses the to build barrier functions for general moment
cooperative and noncooperative partitions. All discrete-time approximation and other qualitative spaces, asymptotic properties of distributions on
concepts presented are illustrated by examples from properties of models of financial markets, like the moment spaces and applications to matrix moment
game theory, economics, and learning. Black-Scholes model and its generalizations, offer- problems, randomized moment problems and
ing in this way rigorous insights on one of the most random matrices, and finally recent results on sum
Gershon Wolansky, Technion – Israel Institute of
interesting applications of mathematics nowadays. rules using the large deviation properties of random
Technology, Israel.
spectral measures.
Yuliya Mishura, Taras Shevchenko National
Monograph, English, 1st quarter 2020 University of Kyiv, Ukraine. Fabrice Gamboa, U. Paul Sabatier, France; Jan
Nagel, TU Eindhoven, The Netherlands; Alain
Monograph, English, 4th quarter 2020
Rouault, U. Paris-Saclay, France.
Series
De Gruyter Series in Nonlinear Analysis and
Monograph, English, 2nd quarter 2020
Applications Series
De Gruyter Series in Probability and Stochastics
Approx. 262 pp., 10 fig. Series
HCRRP € 103.95 / *US$ 119.99 / *£ 94.50 Approx. 292 pp., 10 fig. De Gruyter Series in Probability and Stochastics
ISBN 978-3-11-063312-2 HCRRP € 103.95 / *US$ 119.99 / *£ 94.50
eBookRRP € 103.95 / *US$ 119.99 / *£ 94.50 ISBN 978-3-11-065279-6 Approx. 212 pp., 20 fig.
PDF ISBN 978-3-11-063548-5 eBookRRP € 103.95 / *US$ 119.99 / *£ 94.50 HCRRP € 99.95 / *US$ 114.99 / *£ 91.00
ePUB ISBN 978-3-11-063317-7 PDF ISBN 978-3-11-065424-0 ISBN 978-3-11-054891-4
ePUB ISBN 978-3-11-065299-4 eBookRRP € 99.95 / *US$ 114.99 / *£ 91.00
PDF ISBN 978-3-11-054959-1
ePUB ISBN 978-3-11-054915-7
10 degruyter.com D Database J Journal T Textbook Y Yearbook Open AccessMathematik – Mathematics
Steven Lord, Fedor Sukochev, Evguenii A. Rakhmanov Mariusz Lemańczyk
Dmitriy Zanin
ORTHOGONAL ERGODIC THEORY
SINGULAR TRACES POLYNOMIALS Spectral Theory, Joinings, and Their
Theory and Applications Applications
The origins of the theory of orthogonal polynomials
This book is the first complete study and mono- go back at least to the 18th century when they were This authoritative book on ergodic theory starts
graph dedicated to singular traces. For mathemati- studied in terms of continued fractions. The theory with an introduction to the spectral theory of
cal readers the text offers, due to Nigel Kalton’s is now large and complex: a crossroad of several unitary operators for people working in ergodic
contribution, a complete theory of traces on sym- important domains of analysis such as analytic theory and dynamical systems, presents the theory
metrically normed ideals of compact operators. For function theory, analytic theory of differential of joinings, an area of intense current research,
mathematical physicists and other users of Connes’ equations, Fourier and harmonic analysis, spectral and, finally, discusses applications both in ergodic
noncommutative geometry the text offers a com- theory of Sturm-Liouville operators, and approxi- theory and in number theory, including Sarnak’s
plete reference to Dixmier traces and the deeper mation and interpolation, among others. conjecture on Moebius disjointness. A number of
mathematical features of singular traces. appendices and many exercises are also included.
Evguenii Rakhmanov, University of South
Steven Lord, University of Adelaide, Australia; Florida, USA. Mariusz Lemańczyk, Nicolaus Copernicus
Fedor Sukochev and Dmitriy Zanin, University University in Toruń, Poland.
of New South Wales, Sydney, Australia. Monograph, English, 2nd quarter 2020
Monograph, English, 2nd quarter 2020
Monograph, English, 2nd quarter 2020 Series
De Gruyter Studies in Mathematics 63 Series
Series De Gruyter Studies in Mathematics
De Gruyter Studies in Mathematics 46 Approx. 510 pp.
HCRRP € 149.95 / *US$ 172.99 / *£ 136.50 Approx. 412 pp., 10 fig.
Approx. 550 pp. ISBN 978-3-11-031385-7 HCRRP € 103.95 / *US$ 119.99 / *£ 94.50
2nd corr. and exten. edition eBookRRP € 149.95 / *US$ 172.99 / *£ 136.50 ISBN 978-3-11-060102-2
HCRRP € 149.95 / *US$ 172.99 / *£ 136.50 PDF ISBN 978-3-11-031386-4 eBookRRP € 103.95 / *US$ 119.99 / *£ 94.50
ISBN 978-3-11-037779-8 ePUB ISBN 978-3-11-038325-6 PDF ISBN 978-3-11-060195-4
eBookRRP € 149.95 / *US$ 172.99 / *£ 136.50 ePUB ISBN 978-3-11-059878-0
PDF ISBN 978-3-11-037805-4
ePUB ISBN 978-3-11-039231-9
degruyter.com/newsletter 11Mathematik – Mathematics
Flavia Smarrazzo, Alberto Tesei Elena Cordero, Luigi Rodino Joachim Ender
MEASURE TIME-FREQUENCY COMPRESSIVE
THEORY ANALYSIS SENSING
Radon Measures, Young Measures, and OF OPERATORS Applications to Sensor Systems and Image
Applications to Parabolic Problems Processing
This authoritative text studies pseudo-differential
This carefully written text on measure theory and Fourier integral operators in the framework of Compressive sensing is a new technique in signal
with applications to partial differential equations time-frequency analysis, providing an elementary processing, enabling imaging systems with limited
covers general measure theory, Lebesgue spaces approach, along with applications to almost diago- capabilities in bandwidth or resolution to recover
of real-valued and vector-valued functions, differ- nalization of such operators and to the sparsity of “natural” signals with high accuracy. This graduate
ent notions of measurability for the latter, weak Gabor representations for certain classes of disper- textbook provides detailed background for study
convergence of functions and measures, Radon and sive equations. Moreover, modulation spaces are and research in compressive sensing, including
Young measures, capacity, and finally applications employed to study dispersive equations such as the signal models, measurement schemes, recovery
to quasilinear parabolic problems (in particular, Schrödinger, wave, and Klein-Gordon equations. algorithms, highlighting recent theoretical results
forward-backward equations). and showing a broad range of applications.
Elena Cordero and Luigi Rodino, University of
Flavia Smarrazzo, Campus Bio-Medico Turin, Italy. Joachim Ender, Fraunhofer Institute for High
University, Italy; Alberto Tesei, Sapienza Frequency Physics and Radar Techniques,
University of Rome, Italy. Monograph, English, 2nd quarter 2020 Germany.
Monograph, English, 3rd quarter 2020 Series English, 1st quarter 2020
De Gruyter Studies in Mathematics
Series Series
De Gruyter Studies in Mathematics Approx. 262 pp. De Gruyter Textbook
HCRRP € 86.95 / *US$ 99.99 / *£ 79.00
Approx. 312 pp. ISBN 978-3-11-053035-3 Approx. 365 pp., 250 fig.
HCRRP € 99.95 / *US$ 114.99 / *£ 91.00 eBookRRP € 86.95 / *US$ 99.99 / *£ 79.00 Pb.RRP € 69.95 / *US$ 80.99 / *£ 63.50
ISBN 978-3-11-055600-1 PDF ISBN 978-3-11-053245-6 ISBN 978-3-11-033531-6
eBookRRP € 99.95 / *US$ 114.99 / *£ 91.00 ePUB ISBN 978-3-11-053060-5 eBookRRP € 69.95 / *US$ 80.99 / *£ 63.50
PDF ISBN 978-3-11-055690-2 PDF ISBN 978-3-11-033539-2
ePUB ISBN 978-3-11-055604-9 ePUB ISBN 978-3-11-039027-8
12 degruyter.com D Database J Journal T Textbook Y Yearbook Open AccessMathematik – Mathematics
Ivan Oseledets Manuel Duarte Ortigueira, Duarte Valério Dmitriy Bilyk, Josef Dick,
Friedrich Pillichshammer (Eds.)
NUMERICAL FRACTIONAL
TENSOR SIGNALS AND DISCREPANCY
METHODS SYSTEMS THEORY
Tensor Trains in Mathematics and The contributions in this book focus on a variety
Computer Science The book illustrates the theoretical results of
of topics related to discrepancy theory, comprising
fractional derivatives via applications in signals and
Fourier techniques to analyze discrepancy, low dis-
Covering both theoretical foundations and applica- systems, covering continuous and discrete deriva-
crepancy point sets for quasi-Monte Carlo integra-
tions in mathematics and engineering, this graduate tives, and the corresponding linear systems. Both
tion, probabilistic discrepancy bounds, dispersion
textbook introduces numerical, tensor-based time and frequency analysis are presented. Some
of point sets, pair correlation of sequences, integer
methods for tackling high-dimensional problems. advanced topics are included like derivatives of
points in convex bodies, discrepancy with respect to
Concepts known as tensor trains, matrix product stochastic processes. It is an essential reference for
geometric shapes other than rectangular boxes, and
states or hierarchical tensor networks have a range researchers in mathematics, physics, and engineer-
also open problems in discrepany theory.
of applications in differential equations, multidi- ing.
D. Bilyk, Univ. of Minnesota, USA; J. Dick, Univ.
mensional integration, machine learning, condensed Manuel Duarte Ortigueira, Universidade Nova
of New South Wales, Australia; F. Pillichshammer,
matter physics, and theoretical chemistry. de Lisboa, Portugal; Duarte Valério, Instituto
Johannes Kepler Univ. Linz, Austria.
Ivan Oseledets, Skolkovo Institute of Science Superior Técnico, Portugal.
and Technology and Institute of Numerical Monograph, English, 1st quarter 2020
Mathematics RAS, Russia. Monograph, English, 4th quarter 2019
Series
English, 1st quarter 2020 Series
Radon Series on Computational and Applied
Fractional Calculus in Applied Sciences and
Mathematics
Series Engineering 7
De Gruyter Textbook
Approx. 202 pp., 10 fig.
Approx. 310 pp., 50 fig.
HCRRP € 103.95 / *US$ 119.99 / *£ 94.50
216 pp., 35 fig. HCRRP € 119.95 / *US$ 137.99 / *£ 109.00
ISBN 978-3-11-065115-7
Pb.RRP € 59.95 / *US$ 68.99 / *£ 54.50 ISBN 978-3-11-062129-7
eBookRRP € 103.95 / *US$ 119.99 / *£ 94.50
ISBN 978-3-11-046162-6 eBookRRP € 119.95 / *US$ 137.99 / *£ 109.00
PDF ISBN 978-3-11-065258-1
eBookRRP € 59.95 / *US$ 68.99 / *£ 54.50 PDF ISBN 978-3-11-062458-8
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PDF ISBN 978-3-11-046163-3 ePUB ISBN 978-3-11-062132-7
ePUB ISBN 978-3-11-046169-5
degruyter.com/newsletter 13Mathematik – Mathematics
Thomas Wick Dirk Pauly Shigeru Furuichi
FRACTURE MAXWELL’S ADVANCES IN
PROPAGATION EQUATIONS MATHEMATICAL
Adaptive Multi-Physics Solvers Hilbert Space Methods for the Theory of INEQUALITIES
Electromagnetism
Fracture Propagation is centered on modeling and Mathematical inequalities are essential tools in
algorithms to deal with the mechanics of fractures, This monograph covers the mathematical theory mathematics, natural science and engineering. This
their creation and prevention. Based on the well- and tools behind electromagnetism – governed by book gives an overview on recent advances. Some
developed theory, this monograph allows tackling Maxwell’s equations. After some background in generalizations and improvements for the classical
real applications with feasible solvers by devel- functional analysis is introduced, the spectral the- and well-known inequalities are described which
oping efficient algorithms which are robust with ory of the Maxwell operator is discussed. Results will are applied and further developed in many
respect to discretization, regularization and material available for special limits and decompositions, fields. Applications of the inequalities to entropy
variations. Also, porous media, fluid-filled fractures such as static and time-harmonic are taken into theory and quantum physics are also included.
and fluid-structure interaction are covered. consideration as well as error estimates relevant
Shigeru Furuichi, Tokyo;
Thomas Wick, Leibniz Universität Hannover, when solving those equations.
Hamid Reza Moradi, Mashhad, Iran
Germany. Dirk Pauly, University of Duisburg-Essen,
Germany. Monograph, English, 1st quarter 2020
Monograph, English, 1st quarter 2020
Monograph, English, 1st quarter 2020 Approx. 230 pp., 4 fig.
Series HCRRP € 119.95 / *US$ 137.99 / *£ 109.00
Radon Series on Computational and Applied Series ISBN 978-3-11-064343-5
Mathematics Radon Series on Computational and Applied eBookRRP € 119.95 / *US$ 137.99 / *£ 109.00
Mathematics PDF ISBN 978-3-11-064347-3
312 pp., 60 fig. ePUB ISBN 978-3-11-064364-0
HCRRP € 99.95 / *US$ 114.99 / *£ 91.00 346 pp., 10 fig.
ISBN 978-3-11-049656-7 HCRRP € 119.95 / *US$ 137.99 / *£ 109.00
eBookRRP € 99.95 / *US$ 114.99 / *£ 91.00 ISBN 978-3-11-047930-0
PDF ISBN 978-3-11-049739-7 eBookRRP € 119.95 / *US$ 137.99 / *£ 109.00
ePUB ISBN 978-3-11-049419-8 PDF ISBN 978-3-11-048093-1
ePUB ISBN 978-3-11-047944-7
14 degruyter.com D Database J Journal T Textbook Y Yearbook Open AccessMathematik – Mathematics
Peter Benner, Wilhelmus Schilders, Peter Benner (Ed.) Ewaryst Rafajlowicz
Stefano Grivet-Talocia, Alfio Quarteroni,
Gianluigi Rozza, Luís Miguel Silveira MODEL ORDER OPTIMAL INPUT
(Eds.) REDUCTION SIGNALS
MODEL ORDER Volume 3: Applications FOR PARAMETER
REDUCTION An increasing complexity of models used to predict ESTIMATION
Volume 1: System- and Data-Driven real-world systems leads to the need for algorithms In Linear Systems with Spatio-Temporal
Methods and Algorithms to replace complex models with far simpler ones, Dynamics
while preserving the accuracy of the predictions.
An increasing complexity of models used to predict This two-volume handbook covers methods as well The aim of this book is to prove an overview of
real-world systems leads to the need for algorithms as applications. This second volume focuses on ap- classic results on optimal experiment design for
to replace complex models with far simpler ones, plications in engineering, biomedical engineering, estimating parameters of a regression function, and
while preserving the accuracy of the predictions. computational physics and computer science. to indicate how to use them for sensors’ allocation
This two-volume handbook covers methods as Peter Benner, Max Planck Institute for Dynamics problems for estimating parameters in systems
well as applications. This first volume focuses on of Complex Technical Systems, Magdeburg, described by PDE’s.
real-time control theory, data assimilation, real-time Germany. Ewaryst Rafajlowicz, Wroclaw University of
visualization, high-dimensional state spaces and Technology, Poland.
interaction of different reduction techniques. Monograph, English, 1st quarter 2020
Peter Benner, Max Planck Institute for Dynamics Monograph, English, 1st quarter 2020
of Complex Technical Systems, Magdeburg, 416 pp., 100 fig.
Germany. HCRRP € 119.95 / *US$ 137.99 / *£ 109.00 Approx. 170 pp.
ISBN 978-3-11-050044-8 HCRRP € 99.95 / *US$ 114.99 / *£ 91.00
Monograph, English, 1st quarter 2020 eBookOPEN ACCESS ISBN 978-3-11-035089-0
PDF ISBN 978-3-11-049900-1 eBookRRP € 99.95 / *US$ 114.99 / *£ 91.00
416 pp., 100 fig. ePUB ISBN 978-3-11-049775-5 PDF ISBN 978-3-11-035104-0
HCRRP € 119.95 / *US$ 137.99 / *£ 109.00 ePUB ISBN 978-3-11-038334-8
ISBN 978-3-11-050043-1
eBookOPEN ACCESS
PDF ISBN 978-3-11-049896-7
ePUB ISBN 978-3-11-049771-7
MODEL ORDER
REDUCTION
VOLS. 1 & 2
Approx. 1032 pp., 200 fig.
BookRRP € 189.95 / *US$ 218.99 / *£ 172.50
ISBN 978-3-11-060613-3
degruyter.com/newsletter 15Mathematik – Mathematics
Aron Simis Christian Bär Werner Kirsch
COMMUTATIVE ELEMENTARE MOMENTS IN
ALGEBRA DIFFERENTIAL- PROBABILITY
This unique book on commutative algebra is
GEOMETRIE Voting Systems, Random Matrices and
Magnetism
divided into two parts in order to facilitate its use in [Elementary Differential Geometry]
several types of courses. The first introductory part Whether for students in mathematics, physics,
covers the basic theory, connections with algebraic Dieses Lehrbuch bietet eine Einführung in die Dif-
or economics – this textbook offers a stringent
geometry, computational aspects, and extensions ferentialgeometrie von Kurven und Flächen. Es ist
introduction to probability theory based on the mo-
to module theory. The more advanced second part in der vorliegenden dritten, überarbeiteten Auflage
ment method to develop an intuition for the topic.
covers material such as associated primes and um Lösungshinweise sowie Anwendungen in der
Examples from physics and economics such as the
primary decomposition, local rings, M-sequences Kartografie erweitert. Themen sind u. a. euklidi-
Curie-Weiss law and voting systems enable an easy
and Cohen-Macaulay modules, and homological sche Geometrie, Kurventheorie, Flächentheorie,
transfer of theory to application. A further focus lies
methods. Krümmungsbegriffe, Minimalflächen, Riemannsche
on random matrix theory – an area of considerable
Geometrie und der Satz von Gauß-Bonnet.
Aron Simis, Federal University of Pernambuco and importance in the natural sciences nowadays.
Differentialgeometrie; Fläche; Geometrie; Kurve;
Brazilian Academy of Sciences, Brazil. Werner Kirsch, FernUniversität Hagen, Germany.
Topologie
Textbook, English, 4th quarter 2020 Textbook, English, 1st quarter 2020
This textbook provides an introduction to the
differential geometry of curves and surfaces. The
Series Series
third revised edition has been expanded to include
De Gruyter Textbook De Gruyter Textbook
solution hints and cartographic applications. Topics
covered include Euclidean geometry, the theory
Approx. 262 pp. 216 pp., 20 fig.
of curves and surfaces, curve definitions, minimal
Pb.RRP € 51.95 / *US$ 59.99 / *£ 47.00 Pb.RRP € 49.95 / *US$ 57.99 / *£ 45.50
surfaces, Riemann geometry, and the Gauss-Bonnet
ISBN 978-3-11-061697-2 ISBN 978-3-11-045846-6
theorem.
**eBookRRP € 520.00 / *US$ 600.00 / *£ 472.50 **eBookRRP € 500.00 / *US$ 575.99 / *£ 454.50
Differential geometry; curves; surfaces; topology
PDF ISBN 978-3-11-061698-9 PDF ISBN 978-3-11-045855-8
ePUB ISBN 978-3-11-061707-8 Christian Bär, Universität Potsdam.
ePUB ISBN 978-3-11-045857-2
Textbook, German, 1st quarter 2020
Series
De Gruyter Studium
3. überarb. und erw. Aufl.
366 S./pp., 167 Abb./fig.
Br./Pb.€ 29,95 [D] / UVP/RRP *US$ 34.99 / UVP/
RRP *£ 27.00
ISBN 978-3-11-033681-8
**eBook€ 300,– [D]/UVP/RRP *US$ 345.99 /UVP/
RRP *£ 272.50
PDF ISBN 978-3-11-033682-5
ePUB ISBN 978-3-11-038935-7
16 degruyter.com D Database J Journal T Textbook Y Yearbook Open AccessMathematik – Mathematics
Joseph D. Fehribach Wolf-Jürgen Beyn, Raphael Kruse Martin Hermann
MULTIVARIABLE NUMERICAL NUMERISCHE
AND VECTOR ANALYSIS MATHEMATIK
CALCULUS OF STOCHASTIC [Numerical Analysis – Volume 1:
Numerical Methods for Algebra Problems]
This carefully-designed book covers multivariable
PROCESSES Band 1: Numerische Verfahren für
and vector calculus, and is appropriate either as algebraische Probleme
This textbook is a introduction to the art of
a text of a one-semester course, or for self-study.
analysing, approximating and solving stochastic
It includes many worked-through exercises, with Dieses zweibändige Lehrbuch vermittelt eine
differential equations. Random number generation
answers to all the basic computational ones and Einführung in die Theorie und Praxis moderner
and Monte Carlo methods as well as convergence
hints to those that are more involved, as well as lots numerischer Verfahren. Die wichtigsten Verfahren
theorems and discretisation effects are discussed.
of diagrams which illustrate the various theoretical sind als MATLAB-Programme auf der Webseite
Apart from mathematical problems, these equa-
concepts. des Verlages zum Download bereit. Der erste Band
tions occur in physical, engineering and economic
Joseph D. Fehribach, Worcester Polytechnic beschäftigt sich mit numerische Techniken zur
models, e. g., due to a lack of knowledge of the
Institute, USA. Lösung algebraischer Problemstellungen, wie z. B.
underlying complex systems.
Verfahren für lineare und nichtlineare Gleichungs-
Wolf-Jürgen Beyn, University of Bielefeld, systeme sowie für algebraische Eigenwertproble-
Textbook, English, 1st quarter 2020
Germany; Raphael Kruse, Technical University of me.
Berlin, Germany. Numerische Mathematik; Wissenschaftliches
Series
Rechnen; MATLAB-Programme; Rechenverfahren
De Gruyter Textbook
Textbook, English, 1st quarter 2020
Approx. 192 pp., 70 fig. This two-volume textbook provides an introduc-
Series tion to the theory and practice of modern numerical
Pb.RRP € 42.95 / *US$ 49.99 / *£ 39.00
De Gruyter Textbook methods. The most important methods can be
ISBN 978-3-11-066020-3
downloaded as MATLAB programs from the pub-
**eBookRRP € 430.00 / *US$ 490.00 / *£ 391.00
312 pp., 40 fig. lisher’s website. The first volume covers numerical
PDF ISBN 978-3-11-066060-9
Pb.RRP € 49.95 / *US$ 57.99 / *£ 45.50 techniques for solving algebraic problems such as
ePUB ISBN 978-3-11-066057-9
ISBN 978-3-11-044337-0 methods for linear or nonlinear equation systems
**eBookRRP € 500.00 / *US$ 575.99 / *£ 454.50 and algebraic eigenvalue problems.
PDF ISBN 978-3-11-044338-7 Numerical analysis; computational science;
ePUB ISBN 978-3-11-043555-9 MATLAB programmes; calculation methods
Martin Hermann, Universität Jena.
Textbook, German, 4th quarter 2019
Series
De Gruyter Studium
4., überarbeitete und erweiterte Auflage
Ca./Approx. 360 S./pp., 24 Abb./fig.
Br./Pb.€ 39,95 [D] / UVP/RRP *US$ 45.99 / UVP/
RRP *£ 36.50
ISBN 978-3-11-065665-7
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RRP *£ 363.50
PDF ISBN 978-3-11-065668-8
ePUB ISBN 978-3-11-065680-0
degruyter.com/newsletter 17Mathematik – Mathematics
40,000
Books
G
oing
Digital
Dimitrios C. Kravvaritis, Galina Filipuk, Andrzej Kozłowski degruyter.com/
Athanasios N. Yannacopoulos
ANALYSIS WITH bookarchive
VARIATIONAL MATHEMATICA
METHODS Volume 2: Multi-variable Calculus
IN NONLINEAR
ANALYSIS The book will deal with functions of many vari-
ables: differentiation and integration, extrema with
With Applications in Optimization and a number of digressions to related subjects such as
Partial Differential Equations differential equations and differential geometry of
curves and surfaces. The background needed for
This well-thought-out book covers the fundamen- understanding the examples and how to compute in
tals of nonlinear analysis, with a particular focus on Mathematica will also be discussed.
variational methods and their applications. Starting Galina Filipuk and Andrzej Kozlowski,
from preliminaries in functional analysis, it expands University of Warsaw, Poland.
in several directions such as Banach spaces, fixed
point theory, nonsmooth analysis, minimax theory, Textbook, English, 3rd quarter 2020
variational calculus and inequalities, critical point
theory, monotone, maximal monotone and pseudo-
Series
monotone operators, and evolution problems.
De Gruyter Textbook
Dimitrios C. Kravvaritis, National Tech. Univ.
Athens, Greece; Athanasios N. Yannacopoulos, Approx. 230 pp., 130 fig.
Athens Univ. Econ. Business, Greece. Pb.€ 59.95 [D] / RRP *US$ 68.99 / RRP *£ 54.50
ISBN 978-3-11-066038-8
Textbook, English, 1st quarter 2020 **eBookRRP € 600.00 / *US$ 690.00 / *£ 545.50
PDF ISBN 978-3-11-066039-5
Series ePUB ISBN 978-3-11-066041-8
De Gruyter Textbook
Approx. 412 pp.
Pb.RRP € 77.95 / *US$ 89.99 / *£ 71.00
ISBN 978-3-11-064736-5
**eBookRRP € 780.00 / *US$ 900.00 / *£ 709.00
PDF ISBN 978-3-11-064738-9
ePUB ISBN 978-3-11-064745-7
18 degruyter.com D Database J Journal T Textbook Y Yearbook Open AccessADVANCES IN
NONLINEAR ANALYSIS
Edited by Vicentiu Radulescu, Marco Squassina
OPEN ACCESS JOURNAL
4 issues per year
Language of Publication English
e-ISSN 2191-950X
IMPACT FACTOR 2018: 6.636
CiteScore 2018: 5.03
SCImago Journal Rank (SJR) 2018: 3.215
Source Normalized Impact per Paper
(SNIP) 2018: 3.225
Mathematical Citation Quotient (MCQ)
IMPACT 2017: 1.89
FACTOR
2018:
Further information:
6.636 www.degruyter.com/ana
Top-notch research contributions
Applicative approach
High quality peer-review
Advances in Nonlinear Analysis (ANONA) publishes selected research contributions devoted to nonlinear
problems coming from different areas, with particular reference to those introducing new techniques capable
of solving a wide range of problems. The journal focuses on papers that address significant problems in
pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field
to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.
Editors in Chief
Vicentiu Radulescu, The Romanian Academy, Bucharest / University of Craiova, Romania;
Marco Squassina, Università Cattolica del Sacro Cuore, Brescia, Italy.
Honorary Editors
Viorel Barbu, Iasi, Romania; Haim Brezis, Piscataway, NJ, USA / Haifa, Israel; Philippe G. Ciarlet, Hong Kong;
Jean Mawhin, Louvain-la-Neuve, Belgium; Roger Temam, Bloomington, IN, USA; John Toland, Cambridge, UK;
Michel Willem, Louvain-la-Neuve, Belgium.
Editorial Board
Shair Ahmad, San Antonio, USA; Thomas Bartsch, Giessen, Germany; Vieri Benci, Pisa, Italy; Luigi Carlo Berselli, Pisa,
Italy; Franco Brezzi, Pavia, Italy; Marco Degiovanni, Brescia, Italy; Manuel del Pino, Santiago, Chile; Jesus-Ildefonso
Diaz, Madrid, Spain; Frank Duzaar, Erlangen, Germany; Nicola Fusco, Napoli, Italy; Marius Ghergu, Dublin, Ireland;
Jacques Giacomoni, Pau, France; Olivier Goubet, Amiens, France; Louis Jeanjean, Besançon, France; Irena Lasiecka,
Charlottesville, VA, USA; Giuseppe Mingione, Parma, Italy; Alain Miranville, Poitiers, France; Giovanni Molica Bisci,
Reggio Calabria, Italy; Hoai-Minh Nguyen, Lausanne, Switzerland; Claudianor Oliveira Alves, Campina Grande, Brazil;
Kanishka Perera, Melbourne, FL, USA; Patrizia Pucci, Perugia, Italy; Dušan Repovš, Ljubljana, Slovenia; Xianhua Tang,
Changsha, China; Jean Van Schaftingen, Louvain-la-Neuve, Belgium; Runzhang Xu, Harbin, China; Binlin Zhang, Harbin,
China; Wenming Zou, Bejing, China.You can also read
