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An Introduction to Homological Algebra (Universitext) de Joseph J. Rotman
Descripción - Críticas From the reviews of the second edition:'Joseph J. Rotman is a renowned textbook author in contemporary mathematics. Over the past four decades, he has published numerous successful texts of introductory character, mainly in the field of modern abstract algebra and its related disciplines. … Now, in the current second edition, the author has reworked the original text considerably. While the first edition covered exclusively aspects of the homological algebra of groups, rings, and modules, that is, topics from its first period of development, the new edition includes some additional material from the second period, together with numerous other, more recent results from the homological algebra of groups, rings, and modules. The new edition has almost doubled in size and represents a substantial updating of the classic original. … All together, a popular classic has been turned into a new, much more topical and comprehensive textbook on homological algebra, with all the great features that once distinguished the original, very much to the belief [of its] new generation of readers.' (Werner Kleinert, Zentralblatt)'The new expanded second edition … attempts to cover more ground, basically going from the (concrete) category of modules over a given ring, as in the first edition, to an abelian category and to treat the important example of the category of sheaves on a topological space. … the exercise at the end of every section, plenty of examples and motivation for the many new concepts set this book apart and make it an ideal textbook for a course on the subject.' (Felipe Zaldivar, MAA Online, December, 2008)'This is the second edition of Rotman’s introduction to the more classical aspects of homological algebra … . The book is mainly concerned with homological algebra in module categories … . The book is full of illustrative examples and exercises. It contains many references for further study and also to original sources. All this makes Rotman’s book very convenient for beginners in homological algebra as well as a reference book.' (Fernando Muro, Mathematical Reviews, Issue 2009 i) Reseña del editor Graduate mathematics students will find this book an easy-to-follow, step-by-step guide to the subject. Rotman’s book gives a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. In this new edition the book has been updated and revised throughout and new material on sheaves and cup products has been added. The author has also included material about homotopical algebra, alias K-theory. Learning homological algebra is a two-stage affair. First, one must learn the language of Ext and Tor. Second, one must be able to compute these things with spectral sequences. Here is a work that combines the two. Contraportada With a wealth of examples as well as abundant applications to Algebra, this is a must-read work: a clearly written, easy-to-follow guide to Homological Algebra. The author provides a treatment of Homological Algebra which approaches the subject in terms of its origins in algebraic topology. In this brand new edition the text has been fully updated and revised throughout and new material on sheaves and abelian categories has been added. Applications include the following: * to rings -- Lazard's theorem that flat modules are direct limits of free modules, Hilbert's Syzygy Theorem, Quillen-Suslin's solution of Serre's problem about projectives over polynomial rings, Serre-Auslander-Buchsbaum characterization of regular local rings (and a sketch of unique factorization); * to groups -- Schur-Zassenhaus, Gaschutz's theorem on outer automorphisms of finite p-groups, Schur multiplier, cotorsion groups; * to sheaves -- sheaf cohomology, Cech cohomology, discussion of Riemann-Roch Theorem over compact Riemann surfaces. Learning Homological Algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, and what this describes. Secondly, one must be able to compute these things using a separate language: that of spectral sequences. The basic properties of spectral sequences are developed using exact couples. All is done in the context of bicomplexes, for almost all applications of spectral sequences involve indices. Applications include Grothendieck spectral sequences, change of rings, Lyndon-Hochschild-Serre sequence, and theorems of Leray and Cartan computing sheaf cohomology. Joseph Rotman is Professor Emeritus of Mathematics at the University of Illinois at Urbana-Champaign. He is the author of numerous successful textbooks, including Advanced Modern Algebra (Prentice-Hall 2002), Galois Theory, 2nd Edition (Springer 1998) A First Course in Abstract Algebra (Prentice-Hall 1996), Introduction to the Theory of Groups, 4th Edition (Springer 1995), and Introduction to Algebraic Topology (Springer 1988).
Detalles del Libro
- Name: An Introduction to Homological Algebra (Universitext)
- Autor: Joseph J. Rotman
- Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
- Tamaño del archivo: 8 MB
- Tipos de archivo: PDF Document
- Descargada: 435 times
- Idioma: Español
- Archivos de estado: AVAILABLE
Lee un libro An Introduction to Homological Algebra (Universitext) de Joseph J. Rotman Ebooks, PDF, ePub
An Introduction to Homological Algebra (Universitext ~ An Introduction to Homological Algebra (Universitext): : Rotman, Joseph J.: Libros en idiomas extranjeros
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An Introduction to Homological Algebra: Rotman, Joseph J ~ He is the author of numerous successful textbooks, including Advanced Modern Algebra (Prentice-Hall 2002), Galois Theory, 2nd Edition (Springer 1998) A First Course in Abstract Algebra (Prentice-Hall 1996), Introduction to the Theory of Groups, 4th Edition (Springer 1995), and Introduction to Algebraic Topology (Springer 1988).
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An Introduction to Homological Algebra (Universitext ~ Simply put, this book could have some real purpose for someone wanting a gentle introduction into homological algebra if not for one huge blunder. Rotman does do a good job at motivating a lot of the topics and not becoming too longwinded, but there is also an unfortunate fatal flaw in this book as well.
An Introduction to Homological Algebra / Joseph Rotman ~ Homological Algebra has grown in the nearly three decades since the rst e- tion of this book appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to Homological Algebra, 1994, and Gelfand– Manin, Methods of Homological Algebra, 2003. In their Foreword, Gelfand and
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Homological algebra - Wikipedia ~ Homological algebra is the branch of mathematics that studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract algebra (theory of modules and syzygies) at the end of the 19th century, chiefly by Henri Poincaré and David Hilbert.
[PDF] An Introduction To Homological Algebra Download Full ~ An Introduction to Homological Algebra discusses the origins of algebraic topology. It also presents the study of homological algebra as a two-stage affair. First, one must learn the language of Ext and Tor and what it describes. Second, one must be able to compute these things, and often, this involves yet another language: spectral sequences.
/ Introduction to Homological Algebra (Cambridge ~ 配送商品ならIntroduction to Homological Algebra (Cambridge Studies in Advanced Mathematics)が通常配送無料。更にならポイント還元本が多数。Weibel作品ほか、お急ぎ便対象商品は当日お届けも可能。
Homological Algebra - Cornell University ~ Homological Algebra Yuri Berest, Daniel Miller, Sasha Patotski1 Fall 2013 { Spring 2014 1Notes taken and expanded by Daniel Miller and Sasha Patotski at Cornell University
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Good introductory books on homological algebra ~ A Course On Homological Algebra / P. J Hilton and U. Stambach. Introduction to Homological Algebra / Szen-Tsen Hu. Notes on Homological Algebra / Rotman. But other recommendations will also be appreciated.
An Introduction to Homological Algebra (豆瓣) ~ An Introduction to Homological Algebra 作者 : Joseph J. Rotman 出版社: Springer 出版年: 2008-10-14 页数: 724 定价: USD 49.95 装帧: Paperback 丛书: universitext
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