- Discusses topics in homological algebra and applications in topology, commutative algebra, and algebraic geometry
- Offers the third volume of a four-volume textbook series in Algebra
- Is written by an expert with over 43 years of teaching experience
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- About this Textbook
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This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory. The book will be of value to graduate and higher undergraduate students specializing in any branch of mathematics. The author has tried to make the book self-contained by introducing relevant concepts and results required. Prerequisite knowledge of the basics of algebra, linear algebra, topology, and calculus of several variables will be useful.
- About the authors
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Ramji Lal is a former professor and head of the Department of Mathematics at the University of Allahabad, India. He is also a former adjunct professor of the Harish-Chandra Research Institute (HRI), Allahabad, India. He started his research career at the Tata Institute of Fundamental Research (TIFR), Mumbai, and served the University of Allahabad in different capacities for over 43 years: as a professor, head of the department and the coordinator of the DSA program. At HRI, he initiated a postgraduate (PG) program in mathematics and coordinated the Nurture Program of National Board for Higher Mathematics (NBHM) from 1996 to 2000. After his retirement from the University of Allahabad, he had been the advisor cum adjunct professor at the Indian Institute of Information Technology (IIIT), Allahabad, for over three years. His research interests include group theory, algebraic K-theory and representation theory.
- Table of contents (4 chapters)
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Homological Algebra 1
Pages 1-67
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Homological Algebra 2, Derived Functors
Pages 69-138
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Homological Algebra 3: Examples and Applications
Pages 139-210
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Sheaf Co-homology and Its Applications
Pages 211-293
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Table of contents (4 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Algebra 3
- Book Subtitle
- Homological Algebra and Its Applications
- Authors
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- Ramji Lal
- Series Title
- Infosys Science Foundation Series in Mathematical Sciences
- Copyright
- 2021
- Publisher
- Springer Singapore
- Copyright Holder
- Springer Nature Singapore Pte Ltd.
- eBook ISBN
- 978-981-336-326-7
- DOI
- 10.1007/978-981-33-6326-7
- Hardcover ISBN
- 978-981-336-325-0
- Series ISSN
- 2364-4036
- Edition Number
- 1
- Number of Pages
- XV, 300
- Number of Illustrations
- 32 b/w illustrations
- Topics
