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Titlebook: An Introduction to Homological Algebra; Joseph J. Rotman Textbook 2009Latest edition Springer-Verlag New York 2009 Cech cohomology.Cohomol

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期刊全称An Introduction to Homological Algebra
影响因子2023Joseph J. Rotman
视频video
发行地址Author supplies many examples.Traces development of terminology.Provides abundant applications to commutative algebra.Includes supplementary material:
学科分类Universitext
图书封面Titlebook: An Introduction to Homological Algebra;  Joseph J. Rotman Textbook 2009Latest edition Springer-Verlag New York 2009 Cech cohomology.Cohomol
影响因子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- t
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Joseph J. RotmanAuthor supplies many examples.Traces development of terminology.Provides abundant applications to commutative algebra.Includes supplementary material:
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Textbook 2009Latest editionrst 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- t
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0172-5939 sense pe- gogically, for there has been a change in the mathematics population since 1979; today, virtually all mathematics graduate students have learned so- t978-0-387-24527-0978-0-387-68324-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
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