Linear Algebra I

Frederick P. Greenleaf (Author), Sophie Marques (Author)

9781470448714

Paperback / softback, published 25 January 2019

261 pages
25.4 x 17.8 x 2 cm, 0.477 kg

This book is the first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise.

• Vector Spaces Over a Field $\mathbb{K}$
• Linear Operators $T: V \to W$
• Duality and the Dual Space $V^*$
• Determinants
• The Diagonalization Problem
• Inner Product Spaces
• Index