An Introduction to Homological Algebra: (Universitext 2nd ed. 2009)
By
Joseph J. Rotman (Author)
Paperback
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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 Manin divide the history of Homological Algebra into three periods: the rst period ended in the early 1960s, culminating in applications of Ho- logical Algebra to regular local rings. The second period, greatly in uenced by the work of A. Grothendieck and J. -P. Serre, continued through the 1980s; it involves abelian categories and sheaf cohomology. The third period, - volving derived categories and triangulated categories, is still ongoing. Both of these newer books discuss all three periods (see also Kashiwara-Schapira, Categories and Sheaves). The original version of this book discussed the rst period only; this new edition remains at the same introductory level, but it now introduces thesecond period as well. This change makes sense pe- gogically, for there has been a change in the mathematics population since 1979; today, virtually all mathematics graduate students have learned so- thing about functors and categories, and so I can now take the categorical viewpoint more seriously. When I was a graduate student, Homological Algebra was an unpopular subject. The general attitude was that it was a grotesque formalism, boring to learn, and not very useful once one had learned it. 11 Illustrations, black and white; XIV, 710 p. 11 illus.
More Details
- Contributor: Joseph J. Rotman
- Imprint: Springer-Verlag New York Inc.
- ISBN13: 9780387245270
- Number of Pages: 710
- Packaged Dimensions: 155x235mm
- Packaged Weight: 2200
- Format: Paperback
- Publisher: Springer-Verlag New York Inc.
- Release Date: 2008-10-14
- Series: Universitext
- Binding: Paperback / softback
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