This book is an introduction to linear algebra, designed as a textbook for upper-division courses. It includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. Proofs of all the main theorems are given, with numerical examples, exercises, and applications to geometry, group theory, and differential equations.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Editions-Typ
Illustrationen
Maße
Höhe: 216 mm
Breite: 138 mm
Gewicht
ISBN-13
978-3-540-90992-7 (9783540909927)
Schweitzer Klassifikation
Introduction to Linear Algebra.- Vector Spaces and Systems of Linear Equations.- Linear Transformations and Matrices.- Vector Spaces with an Inner Product.- Determinants.- Polynomials and Complex Numbers.- The Theory of a Single Linear Transformation.- Dual Vector Spaces and Multilinear Algebra.- Orthogonal and Unitary Transformations.- Some Applications of Linear Algebra.- Bibliography (with Notes).- Solutions of Selected Exercises.- Symbols (Including Greek Letters).- Index.
