ABSTRACT

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.

chapter 1|37 pages

The Integers

chapter 2|23 pages

Rational Numbers and Fields

chapter 3|33 pages

Polynomials

chapter 4|13 pages

Real Numbers

chapter 5|17 pages

Complex Numbers

chapter 6|44 pages

Groups

chapter 7|46 pages

Vectors and Vector Spaces

chapter 8|46 pages

The Algebra of Matrices

chapter 9|58 pages

Linear Groups

chapter 10|39 pages

Determinants and Canonical Forms

chapter 11|24 pages

11 Boolean Algebras and Lattices

chapter 12|14 pages

Transfinite Arithmetic

chapter 13|25 pages

Rings and Ideals

chapter 14|32 pages

Algebraic Number Fields

chapter 15|31 pages

Galois Theory