Sergei I. Gelfand American Mathematical Society, Providence, USA Yuri I. Manin Max Planck Institute for Mathematics, Bonn, Germany

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 alg...(展开全部)

Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and id...(展开全部)

The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate st...(展开全部)

i.r. 沙法列维奇(igor r. shafarevich)，著名代数学家。1923年6月3日生于乌克兰日托米尔 (zhytomyr)，罗蒙诺索夫国立莫斯科大学教授。早年在斯捷克洛夫数学研究所获得博士学位（师从boris delone）。对代数数论、代数几何和算术代数几何有基本的重要贡献。工作包括shafarevich-weil定理，golod-shafarevich定理、tate-shafarevich群、 grothendieck-ogg-shafarevich公式、néron-ogg-shafarevich 准则、有限可解群是有理数域上的galois群的证明、关于代数曲面的研究等。1959年获得列宁奖章。苏联（俄罗斯）科学院通讯院士和美国科学院外籍院士。 李福安，1944年1月生，浙江杭州人。1966年7月毕业于复旦大学数学系，1978年考取...(展开全部)

Acrucial analysis and discussion of three principles that have been crucial to the development of ""moral thinking"" as we understand it today: Utilitarianism, Egoism and Intuitionism. Sidgwick's examination of ethical behavior, and more importantly, how humans develop these standards,still informs Libertarian politics today. Sidgwick is one of the most highly respected philoso...(展开全部)

From the reviews: "... This is one of the few mathematical books, the reviewer has read from cover to cover ...The main merit is that nearly on every page you will find some unexpected insights... " Zentralblatt für Mathematik</P> <EM></EM> "... There are few proofs in full, but there is an exhilarating combination of sureness of foot and lightness of touch in the expositio...(展开全部)

i.r. 沙法列维奇(igor r. shafarevich)，著名代数学家。1923年6月3日生于乌克兰日托米尔 (zhytomyr)，罗蒙诺索夫国立莫斯科大学教授。早年在斯捷克洛夫数学研究所获得博士学位（师从boris delone）。对代数数论、代数几何和算术代数几何有基本的重要贡献。工作包括shafarevich-weil定理，golod-shafarevich定理、tate-shafarevich群、 grothendieck-ogg-shafarevich公式、néron-ogg-shafarevich 准则、有限可解群是有理数域上的galois群的证明、关于代数曲面的研究等。1959年获得列宁奖章。苏联（俄罗斯）科学院通讯院士和美国科学院外籍院士。 李福安，1944年1月生，浙江杭州人。1966年7月毕业于复旦大学数学系，1978年考取...(展开全部)