Elements of Abstract Algebra

Elements of Abstract Algebra

Author: Allan Clark

Publisher: Courier Corporation

Published: 2012-07-06

Total Pages: 242

ISBN-13: 0486140350

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Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.


Linear Algebra As An Introduction To Abstract Mathematics

Linear Algebra As An Introduction To Abstract Mathematics

Author: Bruno Nachtergaele

Publisher: World Scientific Publishing Company

Published: 2015-11-30

Total Pages: 209

ISBN-13: 9814723797

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This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.


Abstract Algebra

Abstract Algebra

Author: W. E. Deskins

Publisher: Courier Corporation

Published: 2012-05-24

Total Pages: 660

ISBN-13: 0486158462

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Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.


Abstract Algebra

Abstract Algebra

Author: Thomas Judson

Publisher: Orthogonal Publishing L3c

Published: 2023-08-11

Total Pages: 0

ISBN-13: 9781944325190

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Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.


A Book of Abstract Algebra

A Book of Abstract Algebra

Author: Charles C Pinter

Publisher: Courier Corporation

Published: 2010-01-14

Total Pages: 402

ISBN-13: 0486474178

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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.


Linear Algebra

Linear Algebra

Author: Robert J. Valenza

Publisher: Springer

Published: 1999-02-01

Total Pages: 237

ISBN-13: 0387940995

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Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.


A History of Abstract Algebra

A History of Abstract Algebra

Author: Israel Kleiner

Publisher: Springer Science & Business Media

Published: 2007-10-02

Total Pages: 175

ISBN-13: 0817646841

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This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.


Elements of Modern Algebra, International Edition

Elements of Modern Algebra, International Edition

Author: Linda Gilbert

Publisher: Cengage Learning

Published: 2008-11-01

Total Pages: 456

ISBN-13: 9780495561385

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ELEMENTS OF MODERN ALGEBRA, 7e, INTERNATIONAL EDITION with its user-friendly format, provides you with the tools you need to get succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses.. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem solving skills.


Advanced Linear Algebra

Advanced Linear Algebra

Author: Steven Roman

Publisher: Springer Science & Business Media

Published: 2007-12-31

Total Pages: 488

ISBN-13: 038727474X

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Covers a notably broad range of topics, including some topics not generally found in linear algebra books Contains a discussion of the basics of linear algebra