Part of Cambridge Tracts in Mathematics
Publication planned for: June 2018
availability: Not yet published - available from June 2018
format: Hardback
isbn: 9781108424943
This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of results, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.
Part of Cambridge Studies in Advanced Mathematics
Publication planned for: May 2018
availability: Not yet published - available from May 2018
format: Hardback
isbn: 9781107154001
This book provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The featured critical results, which are proven carefully and in detail, include: discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, automorphic Plancherel theorem, and automorphic Green's functions. The book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields.
Provides an extensive and self-contained treatment of analytical aspects of automorphic forms
Provides a deep exploration of three different examples with varying degrees of complexity and generality, allowing a gradual approach to multi-faceted and highly technical issues
Collects the most important analytical ideas and proofs in the theory of automorphic forms
Part of Cambridge Studies in Advanced Mathematics
Publication planned for: May 2018
availability: Not yet published - available from May 2018
format: Hardback
isbn: 9781108428446
The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all ?nite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty.
Written by one of the world leaders in the field
Gives a comprehensive overview of the subject, including descriptions of related results at the end of each chapter
Brings together for the first time results that were spread throughout the literature
Series:De Gruyter Textbook
Designed for students in engineering and physics with applications in mind.
Proven by more than 20 years of teaching at institutions s.a. UN-affiliated Regional Centres for Space Science and Technology Education.
Self-contained.
This textbook offers an introduction to concepts of probability theory, probability distributions relevant in the applied sciences, as well as basics of sampling distributions, estimation and hypothesis testing.
As the basis for courses on space and atmospheric science, remote sensing, geographic information systems, meteorology, climate and satellite communications at UN-affiliated regional centers, various applications of the formal theory are discussed as well. These include applied topics such as model building and experiment design.
Paperback
Publication Date: 2018
To be published: December 2017
ISBN 978-3-11-056253-8
24.0 x 17.0 cm
xxii, 582 pages 30 Fig.
Language: English
Type of Publication: Textbook
Series:De Gruyter Studies in Mathematics 68/2
Hardcover
Publication Date: 2018
To be published: February 2018
ISBN 978-3-11-055009-2
24.0 x 17.0 cm
Approx. xii, 400 pages
Language: English
Type of Publication: Monograph
A comprehensive, in-depth presentation of the fundamental parts of mathematics.
This second volume covers functions and measure and integration theory in detail.
Of interest to graduate students and researchers in mathematics.
This comprehensive two-volume work is devoted to the most general foundations of mathematics. It goes back to Hausdorff's classic Set Theory, where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff's work, measure and integration theory is also included here as a basis of contemporary mathematics.
Series:De Gruyter Studies in Mathematics 69
Hardcover
Publication Date: 2018
To be published: March 2018
ISBN 978-3-11-056009-1
An up-to-date resource on univalent functions.
Covers introductory as well as research level material.
Useful for graduate students and experienced researchers alike.
The study of univalent functions dates back to the early years of the 20th century, and is one of the most popular research areas in complex analysis. This book is directed at introducing and bringing up to date current research in the area of univalent functions, with an emphasis on the important subclasses, thus providing an accessible resource suitable for both beginning and experienced researchers.
24.0 x 17.0 cm
Approx. xii, 300 pages
Language: English
Type of Publication: Monograph
Series:De Gruyter Proceedings in Mathematics
Hardcover
Publication Date: 2018
To be published: April 2018
ISBN 978-3-11-054092-5
A collection of up-to-date research contributions in algebra and its applications.
Refereed by renowned experts in the field.
Covers wide-ranging topics such as rings, modules, and algebras.
This volume collects the contributions presented at the International Conference in Algebra and Its Applications held at the Aligarh Muslim University, Aligarh, India on November 12?14, 2016. Refereed by renowned experts in the field, this wide-ranging collection of works presents the state of the art in the field of algebra and its applications covering topics such as rings, fields, and algebras.
24.0 x 17.0 cm
Approx. xii, 300 pages
10 Tables
Language: English
Type of Publication: Monograph