Introduction To Commutative Algebra (Addison-Wesley Series in Mathematics)

by Michael Francis Atiyah

This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.

Genres: Mathematics, Algebra, Textbooks, Science, Stem, Nonfiction

140 pages, Paperback

First published January 1, 1969

About the author

Sir Michael Francis was a British-Lebanese mathematician specialising in geometry.

Reviews

[Aaron Stewart]

Absolutely necessary trial by fire.

[Francisco García Pérez]

This shit made me cry, but at least It got me some decent grades.

[Pietro]

Read only the first couple of chapters. Proves strong results, with concise proofs. Not much intuition. Good exercises.

[Endre Moen]

in the abstract language of nonsense - this is a good book.

[Jesse]

A slim book of barely more than 100 pages—a brain-cracking masterwork of brevity/density that goes from prime ideals to tensor products and flat modules in less than 10 pages. Ferocious. A classic.

[NoName66]

a good complementary book for first graduate algebra course

[albin james]

This book is by Sir Michael Francis Atiyah OM FRS FRSE FMedSci FREng. I really wish I had studied this more carefully and appreciated this subject.

[Jonathan]

Evergreen classic.

[Ravi Kumar]

I want to read this book. Anyone interested in joining me to study together, let me know. We can also look for expository work afterwards. Just message me.