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An Introduction to Homological Algebra (Universitext) de Joseph J. Rotman
Descripción - CrÃticas 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).
Homological algebra pms19 ebook henri cartan descargar libro homological algebra pms19 ebook del autor henri cartan isbn 9781400883844 en pdf o epub completo al mejor precio, leer online gratis la sinopsis o resumen, opiniones, crÃticas y comentarios 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 paperback cambridge an introduction to homological algebra paperback cambridge studies in advanced mathematics inglés tapa blanda an introduction to homological algebra universitext english edition descárgate una de las apps de kindle gratuitas para comenzar a leer libros kindle en tu smartphone, tablet u ordenador apple android
An introduction to homological algebra universitext 2 an introduction to homological algebra universitext kindle edition by rotman, joseph j download it once and read it on your kindle device, pc, phones or tablets use features like bookmarks, note taking and highlighting while reading an introduction to homological algebra universitext An introduction to homological algebra rotman, joseph j he is the author of numerous successful textbooks, including advanced modern algebra prenticehall 2002, galois theory, 2nd edition springer 1998 a first course in abstract algebra prenticehall 1996, introduction to the theory of groups, 4th edition springer 1995, and introduction to algebraic topology springer 1988 5 mejores libros de algebra lineal 2019 pdf mejores libros de algebra lineal pdf en 2020 esta es una de las preguntas los alumnos que cursan la asignatura de algebra lineal en diferentes grados, como futuros ingenieros , matematicos o fisicos la respuesta no es fácil y se recomienda estudiar y disfrutar de esta asignatura con varios libros
Detalles del Libro
- Name: An Introduction to Homological Algebra (Universitext)
- Autor: Joseph J. Rotman
- Categoria: Libros,Ciencias, tecnologÃa y medicina,Matemáticas
- Tamaño del archivo: 18 MB
- Tipos de archivo: PDF Document
- Idioma: Español
- Archivos de estado: AVAILABLE
LIBRO An Introduction to Homological Algebra (Universitext) de Joseph J. Rotman PDF ePub
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