A Survey of Modern Algebra

by Garrett Birkhoff, Saunders Mac Lane

Overview

This classic, written by two young instructors who became giants in their field, has shaped the understanding of modern algebra for generations of mathematicians and remains a valuable reference and text for self study and college courses.

Product Details

ISBN-13:	9781351991735
Publisher:	CRC Press
Publication date:	12/19/2017
Sold by:	Barnes & Noble
Format:	eBook
Pages:	512
File size:	7 MB

About the Author

Birkhoff , Garrett; Mac Lane , Saunders

Table of Contents

Preface to the Fourth Edition, 1The Integers, 2 Rational Numbers and Fields, 3: Polynomials, 4: Real Numbers, 5: Complex Numbers, 6: Groups, 7: Vectors and Vector Spaces, 8: The Algebra of Matrices, 9: Linear Groups, 10: Determinants and Canonical Forms, 11: Boolean Algebras and Lattices, 12: Transfinite Arithmetic, 13: Rings and Ideals, 14: Algebraic Number Fields, 15: Galois Theory, Bibliography, List of Special Symbols, Index

Editorial Reviews

A new edition of the classic undergraduate text introducing abstract algebra using concrete examples. The authors ground their explanations with computational and theoretical exercises to develop the student's "power to think for himself," covering topics such as the role of careful proof in algebra, linear algebra as grounded in geometry, groups as expressions of symmetry, and subgroups and subsystems leading to lattice theory. This volume is a corrected version of the 4th edition and is offered by a new publisher. Annotation c. by Book News, Inc., Portland, Or.

Booknews