
- 400 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Introduction to Homological Algebra, 85
About this book
An Introduction to Homological Algebra discusses the origins of algebraic topology. It also presents the study of homological algebra as a two-stage affair. First, one must learn the language of Ext and Tor and what it describes. Second, one must be able to compute these things, and often, this involves yet another language: spectral sequences. Homological algebra is an accessible subject to those who wish to learn it, and this book is the author's attempt to make it lovable. This book comprises 11 chapters, with an introductory chapter that focuses on line integrals and independence of path, categories and functors, tensor products, and singular homology. Succeeding chapters discuss Hom and ?; projectives, injectives, and flats; specific rings; extensions of groups; homology; Ext; Tor; son of specific rings; the return of cohomology of groups; and spectral sequences, such as bicomplexes, Kunneth Theorems, and Grothendieck Spectral Sequences. This book will be of interest to practitioners in the field of pure and applied mathematics.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Introduction to Homological Algebra, 85 by Joseph J. Rotman in PDF and/or ePUB format, as well as other popular books in Mathématiques & Topologie. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Inside Front Cover
- Copyright page
- Dedication
- Preface
- Chapter 1: Introduction
- Chapter 2: Hom and
- Chapter 3: Projectives, Injectives, and Flats
- Chapter 4: Specific Rings
- Chapter 5: Extensions of Groups
- Chapter 6: Homology
- Chapter 7: Ext
- Chapter 8: Tor
- Chapter 9: Son of Specific Rings
- Chapter 10: The Return of Cohomology of Groups
- Chapter 11: Spectral Sequences
- References
- Index
- Pure and Applied Mathematics