Algebra: Abstract and Concrete, edition 2.6 PDF Download
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Author: Frederick Goodman
Publisher: SemiSimple Press (Frederick Goodman)
ISBN: 0979914213
Category : Mathematics
Languages : en
Pages : 586
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Book Description
This text provides a thorough introduction to “modern” or “abstract” algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme. This subject matter is central and ubiquitous in modern mathematics and in applications ranging from quantum physics to digital communications. The most important goal of this book is to engage students in the ac- tive practice of mathematics.
Author: W. W. Sawyer
Publisher: Courier Dover Publications
ISBN: 0486824616
Category : Mathematics
Languages : en
Pages : 241
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Book Description
Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.
Author: Frederick Goodman
Publisher: SemiSimple Press (Frederick Goodman)
ISBN: 0979914213
Category : Mathematics
Languages : en
Pages : 586
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Book Description
This text provides a thorough introduction to “modern” or “abstract” algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme. This subject matter is central and ubiquitous in modern mathematics and in applications ranging from quantum physics to digital communications. The most important goal of this book is to engage students in the ac- tive practice of mathematics.
Author: John A. Beachy
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 454
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Book Description
Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402
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Book Description
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.
Author: I. N. Herstein
Publisher: Macmillan College
ISBN:
Category : Mathematics
Languages : en
Pages : 322
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Book Description
Author: Allan Clark
Publisher: Courier Corporation
ISBN: 0486140350
Category : Mathematics
Languages : en
Pages : 242
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Book Description
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.
Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 0486318117
Category : Mathematics
Languages : en
Pages : 434
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Book Description
Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.
Author: Lara Alcock
Publisher: Oxford University Press, USA
ISBN: 0198843380
Category : Mathematics
Languages : en
Pages : 307
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Book Description
How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory. Abstract Algebra is central in most undergraduate mathematics degrees, and it captures regularities that appear across diverse mathematical structures - many people find it beautiful for this reason. But its abstraction can make its central ideas hard to grasp, and even the best students might find that they can follow some of the reasoning without really understanding what it is all about. This book aims to solve that problem. It is not like other Abstract Algebra texts and is not a textbook containing standard content. Rather, it is designed to be read before starting an Abstract Algebra course, or as a companion text once a course has begun. It builds up key information on five topics: binary operations, groups, quotient groups, isomorphisms and homomorphisms, and rings. It provides numerous examples, tables and diagrams, and its explanations are informed by research in mathematics education. The book also provides study advice focused on the skills that students need in order to learn successfully in their own Abstract Algebra courses. It explains how to interact productively with axioms, definitions, theorems and proofs, and how research in psychology should inform our beliefs about effective learning.
Author: Lindsay N. Childs
Publisher: Springer Science & Business Media
ISBN: 1441987029
Category : Mathematics
Languages : en
Pages : 540
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Book Description
An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.
Author: Niels Lauritzen
Publisher: Cambridge University Press
ISBN: 9780521534109
Category : Mathematics
Languages : en
Pages : 258
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Book Description
This book presents abstract algebra based on concrete examples and applications. All the traditional material with exciting directions.
