An Introductory Course in Commutative Algebra

Author: A. W. Chatters,C. R. Hajarnavis

Publisher: Clarendon Press

ISBN: 9780198501442

Category: Mathematics

Page: 144

View: 8612

This book is a concise and carefully written introduction to topics in commutative algebra, with an emphasis on worked examples and applications. The elegant algebraic theory is combined with applications to number theory, problems in classical Greek geometry, and the theory of finite fields, which has important uses in other branches of science. Topics covered include an introduction to rings and Euclidean rings, UFDs and PIDs, factorization of polynomials, fields and field extensions, and algebraic numbers. This book could form a springboard to further study of abstract algebra, but is also eminently suitable as the course text for an entire undergraduate course.
Posted in Mathematics

Algebraic Geometry

A Concise Dictionary

Author: Elena Rubei

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110316234

Category: Mathematics

Page: 239

View: 3340

Algebraic geometry has a complicated, difficult language. This book contains a definition, several references and the statements of the main theorems (without proofs) for every of the most common words in this subject. Some terms of related subjects are included. It helps beginners that know some, but not all, basic facts of algebraic geometry to follow seminars and to read papers. The dictionary form makes it easy and quick to consult.
Posted in Mathematics

Groups, Modules, and Model Theory - Surveys and Recent Developments

In Memory of Rüdiger Göbel

Author: Manfred Droste,László Fuchs,Brendan Goldsmith,Lutz Strüngmann

Publisher: Springer

ISBN: 331951718X

Category: Mathematics

Page: 475

View: 4949

This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.
Posted in Mathematics

New Scientist

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Science

Page: N.A

View: 2083

Posted in Science

Advances in Ultrametric Analysis

Author: Alain Escassut,Cristina Perez-Garcia,Khodr Shamseddine

Publisher: American Mathematical Soc.

ISBN: 1470434911

Category: Functional analysis

Page: 290

View: 7381

Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summation of -adic series, rational maps on the projective line over , non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, -modules with a convex base, non-compact Trace class operators and Schatten-class operators in -adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in Levi-Civita fields, ultrametric spectra of commutative non-unital Banach rings, classes of non-Archimedean Köthe spaces, -adic Nevanlinna theory and applications, and sub-coordinate representation of -adic functions. Moreover, a paper on the history of -adic analysis with a comparative summary of non-Archimedean fields is presented. Through a combination of new research articles and a survey paper, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.
Posted in Functional analysis

The British National Bibliography

Author: Arthur James Wells

Publisher: N.A

ISBN: N.A

Category: English literature

Page: N.A

View: 1523

Posted in English literature

Model Theory : An Introduction

Author: David Marker

Publisher: Springer Science & Business Media

ISBN: 0387227342

Category: Mathematics

Page: 345

View: 3207

Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
Posted in Mathematics

Introduction to Algebra

Author: Peter Jephson Cameron

Publisher: Oxford University Press, USA

ISBN: 9780198501954

Category: Mathematics

Page: 295

View: 4734

This book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students need, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc are developed in detail. Later, as students gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, and outline of universal algebra, lattices andcategories) and to applications such as Galois theory and coding theory. There is also a chapter outlining the construction of the number systems from scratch and proving in three different ways that trascendental numbers exist.
Posted in Mathematics

Introduction To Commutative Algebra, Student Economy Edition

Author: Michael Atiyah

Publisher: CRC Press

ISBN: 042997325X

Category: Science

Page: 140

View: 7847

This book grew out of a course of lectures given to third year undergraduates at Oxford University, and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. The author has concentrated on certain central topics, and large areas, such as field theory, are not touched. In content it covers rather more ground than Northcott and the treatment is substantially different in that, following the modern trend, more emphasis is put on modules and localization.
Posted in Science

Algebraic Geometry and Commutative Algebra

Author: Siegfried Bosch

Publisher: Springer Science & Business Media

ISBN: 1447148290

Category: Mathematics

Page: 504

View: 5611

Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck’s schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry, like algebraic number theory. The new techniques paved the way to spectacular progress such as the proof of Fermat’s Last Theorem by Wiles and Taylor. The scheme-theoretic approach to algebraic geometry is explained for non-experts. More advanced readers can use the book to broaden their view on the subject. A separate part deals with the necessary prerequisites from commutative algebra. On a whole, the book provides a very accessible and self-contained introduction to algebraic geometry, up to a quite advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. This way the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature.
Posted in Mathematics

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 8342

Posted in Mathematics

Current science

Author: N.A

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 8318

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Newsletter

Author: New Zealand Mathematical Society

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 6164

Posted in Mathematics

Choice

Publication of the Association of College and Research Libraries, a Division of the American Library Association

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Academic libraries

Page: N.A

View: 6854

Posted in Academic libraries

Learning Directory

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Teaching

Page: N.A

View: 8953

Posted in Teaching

An Introduction to Local Spectral Theory

Author: K. B. Laursen,Michael Neumann

Publisher: Oxford University Press

ISBN: 9780198523819

Category: Mathematics

Page: 591

View: 4113

'This beautifully written book represents a major contribution to the literature in the field of modern local spectral theory.' -Journal of Operator TheoryThis book is a modern treatment of a classical area of operator theory. Written in a meticulous and detailed style, with the modern graduate student of analysis in mind, it contains many simplifications of existing literature. It is full of new results, as well as many illuminating examples. Carefully cross referenced throughout, it also includes an extensive list of the relevant literature.
Posted in Mathematics

American Book Publishing Record

BPR annual cumulative

Author: Bowker Editorial Staff

Publisher: N.A

ISBN: N.A

Category: United States

Page: 1470

View: 6565

Posted in United States