2 edition of **first course of homological algebra.** found in the catalog.

first course of homological algebra.

D. G. Northcott

- 243 Want to read
- 6 Currently reading

Published
**1973**
by Cambridge University Press in [London]
.

Written in English

- Algebra, Homological

**Edition Notes**

Bibliography: p. 203.

The Physical Object | |
---|---|

Pagination | xi, 206 p. ; |

Number of Pages | 206 |

ID Numbers | |

Open Library | OL21718171M |

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. Algebra, first course, (New York, The Century co., ), by Edith Long and William Charles Brenke (page images at HathiTrust) A review of algebra, (New York, Cincinnati [etc.] American Book Company, [c]), by Romeyn Henry Rivenburg (page images at HathiTrust).

A Course in Homological Algebra Hardcover – Illustrated, Jan. 17 by Peter J. Hilton (Author), Urs Stammbach (Author) out of 5 stars 2 ratingsReviews: 2. Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an in-depth introduction to abstract d on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of .

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. Course Prerequisites (a) Score ≥ 68 % in one of MATH , or (b) one of MATH ,, and score ≥ 80 % in MATH About the course Summary and textbook This is a first course in the abstract algebra sequence, intended for honours students. We will learn the basics of .

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Book Description Based on a series of lectures given at Sheffield duringthis text is designed to introduce the student to homological algebra avoiding the elaborate machinery usually associated with the subject. This book presents a number of important topics and develops the necessary tools to handle them on an ad hoc by: A First Course of Homological Algebra - Kindle edition by Northcott, D.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading A First Course of Homological Algebra.5/5(1). Based on a series of lectures given at Sheffield duringthis text is designed to introduce the student to homological algebra avoiding the elaborate machinery usually associated with the subject.

This book presents a number of important topics and develops the necessary tools to handle them on an ad hoc. A first course of homological algebra (Book, ) [] Your list has reached the maximum number of items.

Please create a new list with a new name; move some items to a new or existing list; or delete some items. Your request first course of homological algebra. book send this item has been completed. Summary: Based on a series of lectures given at Sheffield duringthis text is designed to introduce the student to homological algebra avoiding the elaborate machinery usually associated with the subject.

This book presents a number of important topics and develops the necessary tools to handle them on an ad hoc basis. Learning homological algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, and what this describes.

Secondly, one must be able to compute these things using a separate language: that of spectral sequences. The basic properties of spectral. Cartan and Eilenberg, Homological Algebra This was the book that started the whole subject, of course.

I remember how fascinated I was when I first saw it, since it seemed intriguing that one could apply topology to algebra. I wouldn't recommend that anyone start with this one, but I actually found a number of useful facts here.

The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology.

The other four sections describe applications of the methods and results of homological algebra to other parts of algebra.

Joseph J. Rotman: free download. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. Homological Algebra Irena Swanson Graz, Fall The goal of these lectures is to introduce homological algebra to the students whose commutative algebra background consists mostly of the material in Atiyah-MacDonald [1].

I would especially like to hear your opinions on the following books: A Course On Homological Algebra / P. J Hilton and U. Stambach. Introduction to Homological Algebra / Szen-Tsen Hu.

Notes on Homological Algebra / Rotman. But other recommendations will also be appreciated. Buy A First Course of Homological Algebra from Based on a series of lectures given at Sheffield duringthis text is designed to introduce the student to homological algebra avoiding the elaborate machinery usually associated with the : $ Joseph J.

Rotman ( – Octo ) was a Professor of Mathematics at the University of Illinois at Urbana–Champaign and also a published author of 10 textbooks.

Rotman was born in did his undergraduate and graduate work at the University of Chicago, where he received his doctorate in with a thesis in abelian groups written under the direction of Irving.

Five years ago, I taught a one-quarter course in homological algebra. I discovered that there was no book which was really suitable as a text for such a short course, so I decided to write one. The point was to cover both Ext and Tor early, and still have enough material for a larger course (one semester or two quarters) going off in any of.

Save on A First Course of Homological Algebra by D. Northcott. Shop your textbooks from Zookal AU today. Based on a series of lectures given at Sheffield during –72, this text is designed to introduce the student to homological algebra avoiding the elaborate machinery usually associated with the subj.

The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological/5(1). Probably the Springer text A Course in Homological Algebra by Hilton-Stammbach is a better choice among the early books than Northcott.

But for later books the choice depends a lot on your preferred style and whether you want to study derived categories, Freyd-Mitchell, etc. Homological algebra is the branch of mathematics that studies homology in a general algebraic setting.

It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract algebra (theory of modules and syzygies) at the end of the 19th century, chiefly by Henri Poincaré and David Hilbert.

Paul Conrad who was the head of the algebra department (as it were) at Kansas suggested that I might like to teach a two-semester graduate topics course. I suggested that Homological Algebra might be an appropriate course. My objective was to educate the faculty as well as whatever students enrolled.

Course Overview: Homological algebra is one of the most important tools in mathematics with application ranging from number theory and geometry to quantum physics. This course will introduce the basic concepts and tools of homological algebra with examples in module theory and group theory.

Tags: P. J. Hilton, U. Stammbach, Springer-Verlag New York Inc. A Course in Homological Algebra (ebook) ISBN Additional ISBNs:Author: P.

J. Hilton, U. Stammbach Edition: Publisher: Springer-Verlag New York Inc. Published: Delivery: Can be download Immediately after purchasing Format: PDF/EPUB (High Quality, No missing contents and Printable).Of course the reader thoroughly familiar with category theory could, in principal, omit Chapter II, except perhaps to familiarize himself with the notations employed.

In Chapter III we begin the proper study of homological algebra by looking in particular at the group ExtA(A, B), where A and Bare A-modules.Abstract Algebra in GAP by Alexander Hulpke. This book aims to give an introduction to using GAP with material appropriate for an undergraduate abstract algebra course.

It does not even attempt to give an introduction to abstract algebra, there are many excellent books which do this.