Algebra

by Saunders Mac Lane, Garret Birkhoff, Jaroslav Smital (Translator)

This volume presents modern algebra from first principles and is accessible to undergraduates or graduates. It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for instance, axioms for groups, rings, fields, lattices, and vector spaces.

Genres: Mathematics, Algebra, Textbooks, Reference

664 pages, Hardcover

First published January 1, 1967

Reviews

[Nigel Lim · Rating 5 out of 5]

Well-written and memorably elegant proofs (written by two of the modern pioneers of algebra). Not necessarily easy reading (especially regarding the use of category theory, for one new to it), but develops mathematical maturity and conceptual connections nicely. Covers just about all the algebra a typical undergraduate is likely to cover (likely more, depending on ones emphasis).

[Kumirus · Rating 4 out of 5]

read parts of it, one of the best algebra books i have ever held in my hand

[Samuel Ireson · Rating 5 out of 5]

Belter. Gentle introduction to category theoretic language from the founder of the subject. Would recommend to anyone.