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A Book of Abstract Algebra

A Book of Abstract Algebra
Author: Charles C Pinter
Publisher: Courier Corporation
Total Pages: 402
Release: 2010-01-14
Genre: Mathematics
ISBN: 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.


Elementary Abstract Algebra, Examples and Applications Volume 1: Foundations

Elementary Abstract Algebra, Examples and Applications Volume 1: Foundations
Author: Justin Hill
Publisher: Lulu.com
Total Pages: 402
Release: 2018-08-22
Genre: Education
ISBN: 0359042112

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This textbook introduces the basic notions of group theory by a thorough treatment of important examples, including complex numbers, modular arithmetic, symmetries, and permutations. Practical examples to cryptography and coding theory are also included.


Elements of Abstract Algebra

Elements of Abstract Algebra
Author: Allan Clark
Publisher: Courier Corporation
Total Pages: 242
Release: 2012-07-06
Genre: Mathematics
ISBN: 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.


Abstract Algebra

Abstract Algebra
Author: W. E. Deskins
Publisher: Courier Corporation
Total Pages: 660
Release: 2012-05-24
Genre: Mathematics
ISBN: 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
Total Pages: 0
Release: 2023-08-11
Genre:
ISBN: 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.


Abstract Algebra

Abstract Algebra
Author: Dan Saracino
Publisher: Waveland Press
Total Pages: 320
Release: 2008-09-02
Genre: Mathematics
ISBN: 1478610131

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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.


Elementary Abstract Algebra

Elementary Abstract Algebra
Author: E.M. Patterson
Publisher:
Total Pages:
Release: 1972
Genre:
ISBN: 9780050013564

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Elementary Linear Algebra

Elementary Linear Algebra
Author: Stephen Andrilli
Publisher: Academic Press
Total Pages: 773
Release: 2010-02-04
Genre: Mathematics
ISBN: 0080886256

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Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics. Ancillary list:* Maple Algorithmic testing- Maple TA- www.maplesoft.com Includes a wide variety of applications, technology tips and exercises, organized in chart format for easy reference More than 310 numbered examples in the text at least one for each new concept or application Exercise sets ordered by increasing difficulty, many with multiple parts for a total of more than 2135 questions Provides an early introduction to eigenvalues/eigenvectors A Student solutions manual, containing fully worked out solutions and instructors manual available


An Elementary Transition to Abstract Mathematics

An Elementary Transition to Abstract Mathematics
Author: Gove Effinger
Publisher: CRC Press
Total Pages: 293
Release: 2019-11-05
Genre: Mathematics
ISBN: 1000701816

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An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials. Features: The material is presented in many short chapters, so that one concept at a time can be absorbed by the student. Two "looking back" chapters at the outset (pre-calculus and calculus) are designed to start the student’s transition by working with familiar concepts. Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns. A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student.