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Advanced Modern Algebra

2023-02-22 Mathematics
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Release : 2023-02-22
Genre : Mathematics
Kind : eBook
Book Rating : 759/5 ( reviews)

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Book Synopsis Advanced Modern Algebra by : Joseph J. Rotman

Download or read book Advanced Modern Algebra written by Joseph J. Rotman. This book was released on 2023-02-22. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.

Advanced Algebra

2007-10-11 Mathematics
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Release : 2007-10-11
Genre : Mathematics
Kind : eBook
Book Rating : 132/5 ( reviews)

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Book Synopsis Advanced Algebra by : Anthony W. Knapp

Download or read book Advanced Algebra written by Anthony W. Knapp. This book was released on 2007-10-11. Available in PDF, EPUB and Kindle. Book excerpt: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.

Discourses on Algebra

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 252/5 ( reviews)

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Book Synopsis Discourses on Algebra by : Igor R. Shafarevich

Download or read book Discourses on Algebra written by Igor R. Shafarevich. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Using various examples this monograph shows that algebra is one of the most beautiful forms of mathematics. In doing so, it explains the basics of algebra, number theory, set theory and probability. The text presupposes very limited knowledge of mathematics, making it an ideal read for anybody new to the subject. The author, I.R. Shafarevich, is well-known across the world as one of the most outstanding mathematicians of this century as well as one of the most respected mathematical writers.

Modern Algebra

2012-08-29 Mathematics
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Release : 2012-08-29
Genre : Mathematics
Kind : eBook
Book Rating : 090/5 ( reviews)

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Book Synopsis Modern Algebra by : Seth Warner

Download or read book Modern Algebra written by Seth Warner. This book was released on 2012-08-29. Available in PDF, EPUB and Kindle. Book excerpt: Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.

Advanced Modern Algebra

2015-11-30 Mathematics
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Release : 2015-11-30
Genre : Mathematics
Kind : eBook
Book Rating : 542/5 ( reviews)

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Book Synopsis Advanced Modern Algebra by : Joseph J. Rotman

Download or read book Advanced Modern Algebra written by Joseph J. Rotman. This book was released on 2015-11-30. Available in PDF, EPUB and Kindle. Book excerpt: This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical number theory, commutative algebra, groups, and Galois theory. Topics in the second course are Zorn's lemma, canonical forms, inner product spaces, categories and limits, tensor products, projective, injective, and flat modules, multilinear algebra, affine varieties, and Gröbner bases.

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