Elements of Abstract Algebra

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Elements of Abstract Algebra

Elements of Abstract Algebra

  • Author: Allan Clark
  • Publisher: Courier Corporation
  • ISBN: 0486140350
  • Category: Mathematics
  • Page: 224
  • View: 1213
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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.

A History of Abstract Algebra

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A History of Abstract Algebra

A History of Abstract Algebra

  • Author: Israel Kleiner
  • Publisher: Springer Science & Business Media
  • ISBN: 081764685X
  • Category: Mathematics
  • Page: 168
  • View: 2900
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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.

Elements of Algebra

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Elements of Algebra

Elements of Algebra

Geometry, Numbers, Equations

  • Author: John Stillwell
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387942902
  • Category: Mathematics
  • Page: 184
  • View: 1253
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Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart.

Elements of Modern Algebra

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Elements of Modern Algebra

Elements of Modern Algebra

  • Author: Linda Gilbert
  • Publisher: Cengage Learning
  • ISBN: 1285965914
  • Category: Mathematics
  • Page: 528
  • View: 5604
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ELEMENTS OF MODERN ALGEBRA, Eighth Edition, with its user-friendly format, provides you with the tools you need to succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem-solving skills. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Elements of Modern Algebra

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Elements of Modern Algebra

Elements of Modern Algebra

  • Author: Jimmie Gilbert,Linda Gilbert
  • Publisher: Brooks/Cole
  • ISBN: 9780534951962
  • Category: Algebra, Abstract
  • Page: 372
  • View: 2906
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Succeed in modern algebra with ELEMENTS OF MODERN ALGEBRA! With a user-friendly format, this mathematics text provides you with the tools you need to get a good grade. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem solving skills.

Topics In Abstract Algebra (second Edition)

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Topics In Abstract Algebra (second Edition)

Topics In Abstract Algebra (second Edition)

  • Author: P. Mukhopadhyay,Shamik Ghosh,Mridul Kanti Sen
  • Publisher: Universities Press
  • ISBN: 9788173715518
  • Category:
  • Page: 436
  • View: 3209
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This book covers the elements of Abstract Algebra, which is a major mathematics course for undergraduate students all over the country and also for first year postgraduate students of many universities. It is designed according to the new UGC syllabus prescribed for all Indian universities.

Elements of Abstract Analysis

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Elements of Abstract Analysis

Elements of Abstract Analysis

  • Author: Mícheál O'Searcoid
  • Publisher: Springer Science & Business Media
  • ISBN: 1447101790
  • Category: Mathematics
  • Page: 300
  • View: 362
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While there are many books on functional analysis, Elements of Abstract Analysis takes a very different approach. Unlike other books, it provides a comprehensive overview of the elementary concepts of analysis while preparing students to cross the threshold of functional analysis. The book is written specifically for final-year undergraduate students who should already be familiar with most of the mathematical structures discussed. It reviews the concepts at a slightly greater level of abstraction and enables students to understand their place within the broad framework of set-based mathematics. The book has been clearly written and contains numerous exercises and examples, making it an a rigorous and self-contained introductory text on functional analysis.

A Course in Algebra

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A Course in Algebra

A Course in Algebra

  • Author: Ėrnest Borisovich Vinberg
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821834138
  • Category: Mathematics
  • Page: 511
  • View: 1241
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Great book! The author's teaching experinece shows in every chapter. --Efim Zelmanov, University of California, San Diego Vinberg has written an algebra book that is excellent, both as a classroom text or for self-study. It is plain that years of teaching abstract algebra have enabled him to say the right thing at the right time. --Irving Kaplansky, MSRI This is a comprehensive text on modern algebra written for advanced undergraduate and basic graduate algebra classes. The book is based on courses taught by the author at the Mechanics and Mathematics Department of Moscow State University and at the Mathematical College of the Independent University of Moscow. The unique feature of the book is that it contains almost no technically difficult proofs. Following his point of view on mathematics, the author tried, whenever possible, to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. Another important feature is that the book presents most of the topics on several levels, allowing the student to move smoothly from initial acquaintance to thorough study and deeper understanding of the subject. Presented are basic topics in algebra such as algebraic structures, linear algebra, polynomials, groups, as well as more advanced topics like affine and projective spaces, tensor algebra, Galois theory, Lie groups, associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. Written with extreme care and supplied with more than 200 exercises and 70 figures, the book is also an excellent text for independent study.

Elements of Number Theory

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Elements of Number Theory

Elements of Number Theory

  • Author: John Stillwell
  • Publisher: Springer Science & Business Media
  • ISBN: 0387217355
  • Category: Mathematics
  • Page: 256
  • View: 7351
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Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.

Series Modern Algebra

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Series Modern Algebra

Series Modern Algebra

  • Author: N.A
  • Publisher: Krishna Prakashan Media
  • ISBN: N.A
  • Category:
  • Page: N.A
  • View: 3245
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