Concepts In Abstract Algebra

Author : Charles Lanski
Publisher : American Mathematical Soc.
Page : 564 pages
File Size : 50,5 Mb
Release : 2024-06-03
Category : Mathematics
ISBN : 0821874284

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Concepts in Abstract Algebra by Charles Lanski Pdf

The style and structure of CONCEPTS IN ABSTRACT ALGEBRA is designed to help students learn the core concepts and associated techniques in algebra deeply and well. Providing a fuller and richer account of material than time allows in a lecture, this text presents interesting examples of sufficient complexity so that students can see the concepts and results used in a nontrivial setting. Author Charles Lanski gives students the opportunity to practice by offering many exercises that require the use and synthesis of the techniques and results. Both readable and mathematically interesting, the text also helps students learn the art of constructing mathematical arguments. Overall, students discover how mathematics proceeds and how to use techniques that mathematicians actually employ. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).

Author : Gertrude Ehrlich
Publisher : Courier Corporation
Page : 352 pages
File Size : 50,8 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486291864

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Fundamental Concepts of Abstract Algebra by Gertrude Ehrlich Pdf

This undergraduate text presents extensive coverage of set theory, groups, rings, modules, vector spaces, and fields. It offers numerous examples, definitions, theorems, proofs, and practice exercises. 1991 edition.

Author : Charles C Pinter
Publisher : Courier Corporation
Page : 402 pages
File Size : 53,7 Mb
Release : 2010-01-14
Category : Mathematics
ISBN : 9780486474175

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A Book of Abstract Algebra by Charles C Pinter Pdf

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 : Ian Stewart
Publisher : Courier Corporation
Page : 368 pages
File Size : 53,8 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486134956

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Concepts of Modern Mathematics by Ian Stewart Pdf

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Author : Ryota Matsuura
Publisher : American Mathematical Society
Page : 404 pages
File Size : 42,5 Mb
Release : 2022-07-06
Category : Mathematics
ISBN : 9781470468811

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A Friendly Introduction to Abstract Algebra by Ryota Matsuura Pdf

A Friendly Introduction to Abstract Algebra offers a new approach to laying a foundation for abstract mathematics. Prior experience with proofs is not assumed, and the book takes time to build proof-writing skills in ways that will serve students through a lifetime of learning and creating mathematics. The author's pedagogical philosophy is that when students abstract from a wide range of examples, they are better equipped to conjecture, formalize, and prove new ideas in abstract algebra. Thus, students thoroughly explore all concepts through illuminating examples before formal definitions are introduced. The instruction in proof writing is similarly grounded in student exploration and experience. Throughout the book, the author carefully explains where the ideas in a given proof come from, along with hints and tips on how students can derive those proofs on their own. Readers of this text are not just consumers of mathematical knowledge. Rather, they are learning mathematics by creating mathematics. The author's gentle, helpful writing voice makes this text a particularly appealing choice for instructors and students alike. The book's website has companion materials that support the active-learning approaches in the book, including in-class modules designed to facilitate student exploration.

Author : Dan Saracino
Publisher : Waveland Press
Page : 320 pages
File Size : 47,9 Mb
Release : 2008-09-02
Category : Mathematics
ISBN : 9781478610137

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Abstract Algebra by Dan Saracino Pdf

The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course.

Author : W. E. Deskins
Publisher : Courier Corporation
Page : 656 pages
File Size : 46,7 Mb
Release : 2012-05-24
Category : Mathematics
ISBN : 9780486158464

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Abstract Algebra by W. E. Deskins Pdf

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.

Author : Dr Anuradha Gupta,Dr Neha Bhatia
Publisher : Sultan Chand & Sons
Page : 14 pages
File Size : 52,7 Mb
Release : 2021-10-18
Category : Mathematics
ISBN : 9788195407187

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An Introduction to Abstract Algebra by Dr Anuradha Gupta,Dr Neha Bhatia Pdf

This book on Abstract Algebra is intended for one or two semesters of B.Sc. (Hons.) and B.A. (Prog.) of University of Delhi and other Universities of India. The book is written in simple language to make the students understand various topics in Abstract Algebra in an easier way. The examples and exercises of the book are meticulously crafted and honed to meet the need of the students who are keen to know about Abstract Algebra. Starting from Set Theory and covering the topics on Groups, Rings and Vector Spaces, the book provides the students a deep study of Abstract Algebra. The book ‘Abstract Algebra’ combines the theory, examples with exercises on the concepts related to the topics in Abstract Algebra.

Author : Israel Kleiner
Publisher : Springer Science & Business Media
Page : 175 pages
File Size : 47,5 Mb
Release : 2007-09-20
Category : Mathematics
ISBN : 9780817646851

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A History of Abstract Algebra by Israel Kleiner Pdf

This book does nothing less than provide an account of the intellectual lineage of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared insoluble by classical means. A major theme of the book is to show 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. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference.

Author : K. N. P. Singh
Publisher : Unknown
Page : 208 pages
File Size : 44,6 Mb
Release : 2013
Category : Algebra, Abstract
ISBN : 812615389X

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Concepts in Abstract Algebra by K. N. P. Singh Pdf

Author : Nathan Carter
Publisher : American Mathematical Soc.
Page : 295 pages
File Size : 48,6 Mb
Release : 2021-06-08
Category : Education
ISBN : 9781470464332

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Visual Group Theory by Nathan Carter Pdf

Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Author : Isaiah Lankham,Bruno Nachtergaele,Anne Schilling
Publisher : World Scientific Publishing Company
Page : 208 pages
File Size : 51,8 Mb
Release : 2015-11-30
Category : Mathematics
ISBN : 9789814723794

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Linear Algebra as an Introduction to Abstract Mathematics by Isaiah Lankham,Bruno Nachtergaele,Anne Schilling Pdf

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.

Author : W. W. Sawyer
Publisher : Courier Dover Publications
Page : 241 pages
File Size : 41,6 Mb
Release : 2018-08-15
Category : Mathematics
ISBN : 9780486824611

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Concrete Approach to Abstract Algebra by W. W. Sawyer Pdf

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 : William Jennings Wickless,Zuhair Nashed
Publisher : CRC Press
Page : 232 pages
File Size : 51,6 Mb
Release : 2019-09-27
Category : Mathematics
ISBN : 9780824757182

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A First Graduate Course in Abstract Algebra by William Jennings Wickless,Zuhair Nashed Pdf

Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.

Author : W. Keith Nicholson
Publisher : John Wiley & Sons
Page : 560 pages
File Size : 44,8 Mb
Release : 2012-03-20
Category : Mathematics
ISBN : 9781118135358

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Introduction to Abstract Algebra by W. Keith Nicholson Pdf

Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text. The Fourth Edition features important concepts as well as specialized topics, including: The treatment of nilpotent groups, including the Frattini and Fitting subgroups Symmetric polynomials The proof of the fundamental theorem of algebra using symmetric polynomials The proof of Wedderburn's theorem on finite division rings The proof of the Wedderburn-Artin theorem Throughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises. Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.