Abstract Algebra: An Inquiry Based Approach

Abstract Algebra: An Inquiry Based Approach
ISBN-10
1466567082
ISBN-13
9781466567085
Series
Abstract Algebra
Category
Mathematics
Pages
595
Language
English
Published
2013-12-21
Publisher
CRC Press
Authors
Jonathan K. Hodge, Ted Sundstrom, Steven Schlicker

Description

To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The book can be used in both rings-first and groups-first abstract algebra courses. Numerous activities, examples, and exercises illustrate the definitions, theorems, and concepts. Through this engaging learning process, students discover new ideas and develop the necessary communication skills and rigor to understand and apply concepts from abstract algebra. In addition to the activities and exercises, each chapter includes a short discussion of the connections among topics in ring theory and group theory. These discussions help students see the relationships between the two main types of algebraic objects studied throughout the text. Encouraging students to do mathematics and be more than passive learners, this text shows students that the way mathematics is developed is often different than how it is presented; that definitions, theorems, and proofs do not simply appear fully formed in the minds of mathematicians; that mathematical ideas are highly interconnected; and that even in a field like abstract algebra, there is a considerable amount of intuition to be found.

Get the book

Amazon.com
Amazon.com
Search the book
eBay.com
eBay.com
Search the book

Other editions

Similar books

  • A Book of Abstract Algebra: Second Edition
    A Book of Abstract Algebra: Second Edition
    By Charles C Pinter

    Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra.

  • Abstract Algebra: Theory and Applications
    Abstract Algebra: Theory and Applications
    By Thomas Judson

    The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course.

  • Abstract Algebra
    Abstract Algebra
    By W. E. Deskins

    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.

  • Concepts in Abstract Algebra
    Concepts in Abstract Algebra
    By Charles Lanski

    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.).

  • Elements of Abstract Algebra
    Elements of Abstract Algebra
    By Allan Clark

    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.

  • Fundamental Concepts of Abstract Algebra
    Fundamental Concepts of Abstract Algebra
    By Gertrude Ehrlich

    Theorem 4.15.1 immediately yields the result that gn is irreducible over F(u1, . . . , an) (which is clearly equal to F(s1, . . . , sn)), and that G(E/F(u1, . . . , un)) is isomorphic to Sn. Since {t1,..., tn} is a transcendence set ...

  • Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates
    Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates
    By Robert B. Ash

    0-486-65499-0 COUNTEREXAMPLES IN ANALYSIS, Bernard R. Gelbaum and John M. H. Olmsted. These counterexamples deal mostly with the part of analysis known as “real variables.” The first half covers the real number system, and the second ...

  • Introduction to Abstract Algebra
    Introduction to Abstract Algebra
    By W. Keith Nicholson

    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 ...

  • A History of Abstract Algebra
    A History of Abstract Algebra
    By Israel Kleiner

    This book does nothing less than provide an account of the intellectual lineage of abstract algebra.

  • Concrete Approach to Abstract Algebra
    Concrete Approach to Abstract Algebra
    By W. W. Sawyer

    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.