A Book Of Abstract Algebra

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A Book Of Abstract Algebra

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Author : Charles C Pinter
language : en
Publisher: Courier Corporation
Release Date : 2010-01-14

A Book Of Abstract Algebra written by Charles C Pinter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-14 with Mathematics categories.

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.

Elements Of Abstract Algebra

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Author : Allan Clark
language : en
Publisher: Courier Corporation
Release Date : 2012-07-06

Elements Of Abstract Algebra written by Allan Clark and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-06 with Mathematics categories.

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

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Author : Thomas Judson
language : en
Publisher: Orthogonal Publishing L3c
Release Date : 2023-08-11

Abstract Algebra written by Thomas Judson and has been published by Orthogonal Publishing L3c this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-11 with categories.

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.

Fundamental Concepts Of Abstract Algebra

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Author : Gertrude Ehrlich
language : en
Publisher: Courier Corporation
Release Date : 2013-05-13

Fundamental Concepts Of Abstract Algebra written by Gertrude Ehrlich and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Mathematics categories.

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.

Algebra Chapter 0

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Author : Paolo Aluffi
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Algebra Chapter 0 written by Paolo Aluffi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.

Concrete Abstract Algebra

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Author : Niels Lauritzen
language : en
Publisher: Cambridge University Press
Release Date : 2003-10-16

Concrete Abstract Algebra written by Niels Lauritzen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-16 with Mathematics categories.

This book presents abstract algebra based on concrete examples and applications. All the traditional material with exciting directions.

Discourses On Algebra

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Author : Igor R. Shafarevich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Discourses On Algebra written by Igor R. Shafarevich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

I wish that algebra would be the Cinderella ofour story. In the math ematics program in schools, geometry has often been the favorite daugh ter. The amount of geometric knowledge studied in schools is approx imately equal to the level achieved in ancient Greece and summarized by Euclid in his Elements (third century B. C. ). For a long time, geom etry was taught according to Euclid; simplified variants have recently appeared. In spite of all the changes introduced in geometry cours es, geometry retains the influence of Euclid and the inclination of the grandiose scientific revolution that occurred in Greece. More than once I have met a person who said, "I didn't choose math as my profession, but I'll never forget the beauty of the elegant edifice built in geometry with its strict deduction of more and more complicated propositions, all beginning from the very simplest, most obvious statements!" Unfortunately, I have never heard a similar assessment concerning al gebra. Algebra courses in schools comprise a strange mixture of useful rules, logical judgments, and exercises in using aids such as tables of log arithms and pocket calculators. Such a course is closer in spirit to the brand of mathematics developed in ancient Egypt and Babylon than to the line of development that appeared in ancient Greece and then con tinued from the Renaissance in western Europe. Nevertheless, algebra is just as fundamental, just as deep, and just as beautiful as geometry.

Introduction To The Theory Of Abstract Algebras

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Author : Richard S Pierce
language : en
Publisher: Courier Corporation
Release Date : 2014-10-20

Introduction To The Theory Of Abstract Algebras written by Richard S Pierce and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-20 with Mathematics categories.

Suitable for introductory graduate-level courses and independent study, this text explores major themes of universal algebra: subdirect decompositions, direct decompositions, free algebras, and varieties of algebras. Includes problems and a bibliography. 1968 edition.

A History Of Abstract Algebra

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Author : Israel Kleiner
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-20

A History Of Abstract Algebra written by Israel Kleiner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-20 with Mathematics categories.

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.