Every student of mathematics needs a sound grounding in the techniques of linear algebra. It forms the basis of the study of linear equations, matrices, linear mappings and differential equations, and comprises a central part of any course in mathematics. This textbook provides an introduction to the main concepts of linear algebra which should be suitable for students coming to the subject for the first time. The book is in two parts. Part 1 develops the basic theory of vector spaces and linear maps, including dimension, determinants, eigenvalues and eigenvectors. Part 2 goes on to examine more advanced topics and in particular the study of canonical forms for matrices.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Illustrationen
ISBN-13
978-0-19-853436-5 (9780198534365)
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Schweitzer Klassifikation
PART I. Vector spaces; Linear mappings; Structure of vector spaces; Matrices; Inner product spaces; Determinants (2x2 and 3x3); PART II. Determinants (nxn); Similarity (Act I); Euclidean spaces (spectral theorem); Equivalence of matrices over a principal ideal ring; Similarity (Act II); Unitary spaces; Tensor spaces.
