This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 12 mm
Gewicht
ISBN-13
978-981-4723-77-0 (9789814723770)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
University Of California, Davis, Usa
Univ Of California, Davis, Usa
California State Univ, East Bay, Usa
What is Linear Algebra; Introduction to Complex Numbers; The Fundamental Theorem of Algebra and Factoring Polynomials; Vector Spaces; Span and Bases; Linear Maps; Eigenvalues and Eigenvectors; Permutations and the Determinant; Inner Product Spaces; Change of Bases; The Spectral Theorem for Normal Linear Maps; Appendices: Supplementary Notes on Matrices and Linear Systems; The Language of Sets and Functions; Summary of Algebraic Structures Encountered; Common Math Symbols; Notation Used;
