Linear Algebra

Name: Linear Algebra
Price: 31.49 USD
Availability: InStock
ISBN: 9780387984551

ISBN-10: 0387984550

ISBN-13: 9780387984551

Edition: 3rd 1998 (Revised)

Authors: Larry Smith

List price: $84.99

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Description:

This popular and successful text was originally written for a one-semester course in linear algebra at the sophomore undergraduate level. Students at this level generally have had little contact with complex numbers or abstract mathematics, so the book deals almost exclusively with real finite dimensional vector spaces, but in a setting and formulation that permits easy generalization to abstract vector spaces. The goal of the first two editions was the principal axis theorem for real symmetric linear transformation. The principal axis theorem becomes the first of two goals for this new edition, which follows a straight path to its solution. A wide selection of examples of vector spaces and…

Book details

List price: $84.99
Edition: 3rd
Copyright year: 1998
Publisher: Springer New York
Publication date: 5/28/1998
Binding: Hardcover
Pages: 454
Size: 6.10" wide x 9.25" long x 0.43" tall
Weight: 1.848
Language: English



Preface



Vectors in the Plane and in Space



Vector Spaces



Examples of Vector Spaces



Subspaces



Linear Independence and Dependence



Finite-Dimensional Vector Spaces and Bases



The Elements of Vector Spaces: A Summing Up



Linear Transformations



Linear Transformations: Examples and Applications



Linear Transformations and Matrices



Representing Linear Transformations by Matrices



More on Representing Linear Transformations by Matrices



Systems of Linear Equations



The Elements of Eigenvalue and Eigenvector Theory



Inner Product Spaces



The Spectral Theorem and Quadratic Forms



Jordan Canonical Form



Application to Differential Equations



The Similarity Problem



Multilinear Algebra and Determinants



Complex Numbers


Font Usage


Notations


Index