A Concrete Approach To Abstract Algebra

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Author: Jeffrey Bergen
Publisher: Academic Press
ISBN: 9780080958620
Size: 60.27 MB
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A Concrete Approach To Abstract Algebra by Jeffrey Bergen


Original Title: A Concrete Approach To Abstract Algebra

A Concrete Approach to Abstract Algebra presents a solid and highly accessible introduction to abstract algebra by providing details on the building blocks of abstract algebra. It begins with a concrete and thorough examination of familiar objects such as integers, rational numbers, real numbers, complex numbers, complex conjugation, and polynomials. The author then builds upon these familiar objects and uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students. Exercises provide a balanced blend of difficulty levels, while the quantity allows the instructor a latitude of choices. The final four chapters present the more theoretical material needed for graduate study. This text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics which arise in courses in algebra, geometry, trigonometry, precalculus, and calculus. Presents a more natural 'rings first' approach to effectively leading the student into the the abstract material of the course by the use of motivating concepts from previous math courses to guide the discussion of abstract algebra Bridges the gap for students by showing how most of the concepts within an abstract algebra course are actually tools used to solve difficult, but well-known problems Builds on relatively familiar material (Integers, polynomials) and moves onto more abstract topics, while providing a historical approach of introducing groups first as automorphisms Exercises provide a balanced blend of difficulty levels, while the quantity allows the instructor a latitude of choices

A Concrete Approach To Abstract Algebra Student Solutions Manual E Only

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Author: Jeffrey Bergen
Publisher: Academic Press
ISBN: 9780123846815
Size: 32.56 MB
Format: PDF, Mobi
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A Concrete Approach To Abstract Algebra Student Solutions Manual E Only by Jeffrey Bergen


Original Title: A Concrete Approach To Abstract Algebra Student Solutions Manual E Only

A Concrete Approach to Abstract Algebra begins with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students. The text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics wich arise in courses in algebra, geometry, trigonometry, precalculus and calculus. The final four chapters present the more theoretical material needed for graduate study.

A Concrete Approach To Abstract Algebra From The Integers To The Insolvability Of The Quintic

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Author: CTI Reviews
Publisher: Cram101 Textbook Reviews
ISBN: 1467200131
Size: 42.33 MB
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A Concrete Approach To Abstract Algebra From The Integers To The Insolvability Of The Quintic by CTI Reviews


Original Title: A Concrete Approach To Abstract Algebra From The Integers To The Insolvability Of The Quintic

Facts101 is your complete guide to A Concrete Approach to Abstract Algebra, From the Integers to the Insolvability of the Quintic. In this book, you will learn topics such as The Integers, The Rational Numbers and the Real Numbers, The Complex Numbers, and The Fundamental Theorem of Algebra plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Abstract Algebra

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Author: Robert H. Redfield
Publisher: Addison Wesley
ISBN: 9780201437218
Size: 29.63 MB
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Abstract Algebra by Robert H. Redfield


Original Title: Abstract Algebra

This is a new text for the Abstract Algebra course. The author has written this text with a unique, yet historical, approach: solvability by radicals. This approach depends on a fields-first organization. However, professors wishing to commence their course with group theory will find that the Table of Contents is highly flexible, and contains a generous amount of group coverage.

Abstract Algebra

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Author: John A. Beachy
Publisher: Waveland Press
ISBN: 1478607998
Size: 54.44 MB
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Abstract Algebra by John A. Beachy


Original Title: Abstract Algebra

Highly regarded by instructors in past editions for its sequencing of topics as well as its concrete approach, slightly slower beginning pace, and extensive set of exercises, the latest edition of Abstract Algebra extends the thrust of the widely used earlier editions as it introduces modern abstract concepts only after a careful study of important examples. Beachy and Blairs clear narrative presentation responds to the needs of inexperienced students who stumble over proof writing, who understand definitions and theorems but cannot do the problems, and who want more examples that tie into their previous experience. The authors introduce chapters by indicating why the material is important and, at the same time, relating the new material to things from the students background and linking the subject matter of the chapter to the broader picture. Instructors will find the latest edition pitched at a suitable level of difficulty and will appreciate its gradual increase in the level of sophistication as the student progresses through the book. Rather than inserting superficial applications at the expense of important mathematical concepts, the Beachy and Blair solid, well-organized treatment motivates the subject with concrete problems from areas that students have previously encountered, namely, the integers and polynomials over the real numbers. Supplementary material for instructors and students available on the books Web site: www.math.niu.edu/~beachy/abstract_algebra/

Abstract Algebra

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Author: Theodore Shifrin
Publisher: Pearson College Division
ISBN: 9780133198317
Size: 26.39 MB
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Abstract Algebra by Theodore Shifrin


Original Title: Abstract Algebra

This book explores the essential theories and techniques of modern algebra, including its problem-solving skills, basic proof techniques, many applications, and the interplay between algebra and geometry.It takes a concrete, example-oriented approach to the subject matter.

Introduction To Abstract Algebra

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Author: Jonathan D. H. Smith
Publisher: CRC Press
ISBN: 9781420063721
Size: 36.84 MB
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Introduction To Abstract Algebra by Jonathan D. H. Smith


Original Title: Introduction To Abstract Algebra

Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles. A Quick Introduction to Algebra The first three chapters of the book show how functional composition, cycle notation for permutations, and matrix notation for linear functions provide techniques for practical computation. The author also uses equivalence relations to introduce rational numbers and modular arithmetic as well as to present the first isomorphism theorem at the set level. The Basics of Abstract Algebra for a First-Semester Course Subsequent chapters cover orthogonal groups, stochastic matrices, Lagrange’s theorem, and groups of units of monoids. The text also deals with homomorphisms, which lead to Cayley’s theorem of reducing abstract groups to concrete groups of permutations. It then explores rings, integral domains, and fields. Advanced Topics for a Second-Semester Course The final, mostly self-contained chapters delve deeper into the theory of rings, fields, and groups. They discuss modules (such as vector spaces and abelian groups), group theory, and quasigroups.

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