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Abstract Algebra with Applications : Abstract Algebra with Applications Vector Spaces and Groups Volume 1 - Karlheinz Spindler

Abstract Algebra with Applications

Abstract Algebra with Applications Vector Spaces and Groups Volume 1

Hardcover Published: 18th October 1993
ISBN: 9780824791445
Number Of Pages: 776

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A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.

." . .these two volumes constitute an outstanding and unique text on algebra and its various applications, which is matchlessly rich in content, comprehensive and well-arranged. . .[a] masterpiece. . . .the mathematical community should have good reason to be grateful to the author for having added a new standard text to the existing literature. . .with many distinctive and unique features, and. . .comparable to the celebrated standard texts. . ..Due to its peerless width of the material. . .this textbook. . .is certainly predestined to become an indispensable tool kit for everyone needing and using algebraic methods." ---Zentralblatt fur Mathematik

Rings And Fields Introduction: The Art of Doing
Arithmetic Rings and Ring Homomorphisms
Integral Domains and Fields
Polynomial and Power Series Rings
Ideals and Quotient Rings Ideals in Commutative Rings
Factorization in Integral Domains
Factorization in Polynomial and Power Series Rings
Number-Theoretical Applications of Unique Factorization
Modules Noetherian Rings Field Extensions
Splitting Fields and Normal Extensions
Separability of Field Extensions
Field Theory and Integral Ring
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780824791445
ISBN-10: 0824791444
Series: Chapman & Hall/CRC Pure and Applied Mathematics : Book 1
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 776
Published: 18th October 1993
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 25.4 x 17.8  x 4.19
Weight (kg): 1.54
Edition Number: 1