Algebra 3: Homological Algebra and Its Applications (Infosys Science Foundation Series in Mathematical Sciences) - Softcover

Book 15 of 18: Infosys Science Foundation

Lal, Ramji

 
9789813363281: Algebra 3: Homological Algebra and Its Applications (Infosys Science Foundation Series in Mathematical Sciences)
Softcover
ISBN 10: 9813363282 ISBN 13: 9789813363281
Publisher: Springer, 2022

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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.

From the Back Cover

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 this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2022
Language
English
ISBN 10 
9813363282
ISBN 13 
9789813363281
Binding
Paperback
Edition number
1
Number of pages
316

Other Popular Editions of the Same Title

9789813363250: Algebra 3: Homological Algebra and Its Applications (Infosys Science Foundation Series)

Featured Edition

ISBN 10:  9813363258 ISBN 13:  9789813363250
Publisher: Springer, 2021
Hardcover