In the series De Gruyter Textbook
This is the third edition of the book. In addition to introducing the main concepts of modern algebra, new topic are added: categories and functors; an introduction to representations of finite groups; projective and injective modules; an introduction to noetherian rings and modules and to Hilbertfs Nullstellensatz. There is ample material for a two semester course in abstract algebra.
Very gentle, user-friendly and skillful introduction, suitable for private study and exam preparation.
For students in mathematics and in various other fields of science.
Derek J.S. Robinson, University of Illinois, Urbana-Champaign, USA.
"Altogether, this book represents a very gentle, user-friendly and skillful introduction to undergraduate abstract algebra for students in various fields of science. [...] a very experienced teacher has here presented a valuable introductory text on abstract algebra that can universally be used as a source for a one or two semester course on the subject for students in their second or third year of study: Without any doubt, this text is also very suitable for private study and exam preparation of undergraduates."
Werner Kleinert in: Zentralblatt MATH 10/2003
Algebra and Number Theory
Mathematics
Paperback
This book will be published on February 21, 2022
Language: English
Publisher: De Gruyter
Copyright year: 2022
Edition: 3rd, extended edition
Audience: Students and lecturers in Mathematics, Information and Physical sciences; Academic libraries.
Pages Front matter: 16 Main content: 440
Keywords: Algebra; Gruppentheorie; Angewandte Mathematik
Planned Publication: February 7, 2022
ISBN: 9783110691160
Planned Publication: February 21, 2022
ISBN: 9783110686104
Volume 29 in the series Radon Series on Computational and Applied Mathematics
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.
R. Herzog, Heidelberg U, GE.; M. Heinkenschloss, Rice U, USA; D. Kalise, ICL, UK; G. Stadler, NYU, USA; E. Trelat, Sorb.-U, FR.
Applied Mathematics
Mathematics
Hardcover
This book will be published on March 7, 2022
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Researchers and graduate students.
Pages Front matter: 20 Main content: 480
Illustrations: 38 Coloured Illustrations: 48
Keywords: Differentialgleichungen; Steuereung; Regelung; Quantifizierung; Unsicherheit
Planned Publication: February 21, 2022
ISBN: 9783110695960
Volume 5 in the series Advances in Analysis and Geometry
Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kahler geometry and Lie theory. This work gives an introduction to Hermitian symmetric spaces and their submanifolds, and presents classification results for real hypersurfaces in these spaces, focusing on results obtained by Jurgen Berndt and Young Jin Suh in the last 20 years.
Combines the topic of Hermitian symmetric spaces with submanifolds - a classical topic in differential geometry.
Focuses on results.
Includes projective spaces, complex Grassmannians and complex quadrics.
Young Jin Suh, Kyungpook National University, Republic of Korea; Jurgen Berndt, Kingfs College, United Kingdom.
Geometry and Topology
Mathematics
Hardcover
This book will be published on April 18, 2022
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Researchers in differential geometry; advanced PhD students specializing in the area.
Pages Front matter: 10 Main content: 400
Illustrations Tables: 10
Planned Publication: April 18, 2022
ISBN: 9783110689785
In the series De Gruyter Proceedings in Mathematics
This volume is dedicated to the work and memory of Professor Ronald L. Graham known as the architect of discrete mathematics and combinatorics and will consist of up to 20 contributions from top mathematicians reflecting on his work in combinatorics and number theory.
Original contributions by leading experts in combinatorics and number theory
Includes essays and memories of Professor Graham from those that knew him
Of interest to researchers and graduate students working in@combinatorics and number theory.
B. M. Landman, Augusta U.; F. Luca, U.Witwatersrand; M. B. Nathanson, CUNY; J. Ne?etril, Charles U.; A. Robertson, Colgate U.
Algebra and Number Theory
Discrete Mathematics
General Mathematics
Mathematics
Hardcover
This book will be published on May 3, 2022
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Academic researchers and graduate students
Pages Front matter: 20 Main content: 350
Illustrations: 30 Coloured Illustrations: 19 Tables: 15
Keywords: Diskrete Mathematik; Mathematik; Kombinatorik
Planned Publication: May 3, 2022
ISBN: 9783110753431
Volume 10 in the series De Gruyter Series in Logic and Its Applications
The book is about strong axioms of infinity (also known as large cardinal axioms) in set theory, and the ongoing search for natural models of these axioms. Assuming the Ultrapower Axiom, we solve various classical problems in set theory (e.g., the Generalized Continuum Hypothesis) and develop a theory of large cardinals that is much clearer than the theory that can be developed using only the standard axioms.
This book is developed and expanded from a prize winning thesis in logic.
Editors of GSLA expressed a strong interest in the work.
Author information
Gabriel Goldberg, UC Berkeley, Berkeley, USA.
Logic and Set Theory
Mathematics
Hardcover
This book will be published on April 4, 2022
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Researchers and Graduate Students.
Pages Front matter: 15 Main content: 310
Illustrations: 29
Keywords: Logik; Analysis
Planned Publication: April 4, 2022
ISBN: 9783110719697
Volume 70 in the series De Gruyter Expositions in Mathematics
The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions.
A didactic monograph at the interface of commutative algebra and algebraic geometry
Studies classical constructions from geometry from the viewpoint of modern commutative algebra
Of interest to experienced researchers and graduate students alike
Aron Simis, Federal University of Pernambuco, Brazil; Zaqueu Alves Ramos, Cidade Universitaria Prof. Aloisio Campo, Brazil.
Algebra and Number Theory
Geometry and Topology
Mathematics
Hardcover
This book will be published on April 4, 2022.
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Researchers and graduate students in algebra and algebraic geometry.
Pages Front matter: 10 Main content: 400
Keywords: Graduierter Modul; Graduierter Ring; Kommutative Algebra; Schnitt; Algebraische Geometrie
Planned Publication: April 4, 2022
ISBN: 9783110637540
Volume 85 in the series De Gruyter Studies in Mathematics
Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a sufficient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of flexible ellipsoid covers of Rn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.
Covers the theory of local approximation using multivariate algebraic polynomials, and anisotropic spaces and representations of functions based on anisotropic multilevel ellipsoid. Discusses the history of anisotropic functions and applications.
Shai Dekel, School of Mathematical Sciences, Tel-Aviv University, Israel
Graduate students, researchers in the fields of approximation theory, harmonic analysis and function spaces.
Analysis
Applied Mathematics
Mathematics
Physics
Probability and Statistics
Theoretical and Mathematical Physics
Hardcover
This book will be published on April 18, 2022
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Graduate students, researchers in the fields of approximation theory, harmonic analysis and function spaces
Pages Front matter: 15 Main content: 200
Illustrations: 3
Planned Publication: April 18, 2022
ISBN: 9783110761764
This book introduces the basics, calculation of twisted equivariant K-theory and its application to classifications of topological insulators. Basic notion in algebraic topology, ordinary cohomology, borel equivariant cohomology are discussed in detail as well. With practical issue considered, the book is of interests to mathematicians, physicists and students.
Introduces twisted equivariant K-theory and its application to classifications of topological insulators
Presents a specific subject in topology at the view of physicists' practical applications
Of interest to mathematicians and physicists
Kiyonori Gomi, Shinshu University, Nagano, Japan.
Condensed Matter Physics
Geometry and Topology
Mathematics
Physics
Hardcover
This book will be published on August 14, 2022
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Mathematicians and physicists
Pages Front matter: 10 Main content: 200
Illustrations: 30
Planned Publication: August 14, 2022
ISBN: 9783110672398