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Homological Algebra

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Henri Cartan 作者
Princeton University Press
譯者
1999-11-29 出版日期
408 頁數
GBP 65.00 價格
Paperback
Princeton Landmarks in Mathematics and Physics 叢書系列
9780691049915 圖書編碼

Homological Algebra 在線電子書 圖書標籤: 同調代數  數學  Algebra  代數  Mathematics  其餘代數7  Homology  Homological   


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Homological Algebra 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Homological Algebra 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Homological Algebra 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Homological Algebra 在線電子書 著者簡介

Henri Cartan, formerly Professor of Mathematics at the University of Paris, is a Fellow of the Royal Society. Samuel Eilenberg (1914-1998) was Professor of Mathematics at Columbia University. Both were founding members of the Bourbaki and both received the Wolf Prize in Mathematics


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Homological Algebra 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Homological Algebra 在線電子書 圖書描述

When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology (and also cohomology) theory that embodies all three; a large number of results is thus established in a general framework.Subsequently, each of the three theories is singled out by a suitable specialization, and its specific properties are studied. The starting point is the notion of a module over a ring. The primary operations are the tensor product of two modules and the groups of all homomorphisms of one module into another. From these, "higher order" derived of operations are obtained, which enjoy all the properties usually attributed to homology theories. This leads in a natural way to the study of "functors" and of their "derived functors." This mathematical masterpiece will appeal to all mathematicians working in algebraic topology.

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