Advanced Linear Algebra, First Edition

✍ Scribed by Steven Roman

• Publisher: Springer New York
• Year: 1992
• Tongue: English
• Leaves: 366
• Series: Graduate Texts in Mathematics (GTM), 135
• Edition: 1, 1st, 1e
• Category: Library

✦ Table of Contents

Front Matter....Pages i-xii
Preliminaries....Pages 1-24
Front Matter....Pages 25-25
Vector Spaces....Pages 27-43
Linear Transformations....Pages 45-62
The Isomorphism Theorems....Pages 63-81
Modules I....Pages 83-95
Modules II....Pages 97-106
Modules over Principal Ideal Domains....Pages 107-119
The Structure of a Linear Operator....Pages 121-133
Eigenvalues and Eigenvectors....Pages 135-156
Real and Complex Inner Product Spaces....Pages 157-174
The Spectral Theorem for Normal Operators....Pages 175-202
Front Matter....Pages 203-203
Metric Vector Spaces....Pages 205-237
Metric Spaces....Pages 239-261
Hilbert Spaces....Pages 263-290
Tensor Products....Pages 291-314
Affine Geometry....Pages 315-328
The Umbral Calculus....Pages 329-352
Back Matter....Pages 353-366

✦ Subjects

Linear and Multilinear Algebras, Matrix Theory