Paperback. Introduction to Linear Algebra stresses finite dimensional vector spaces and linear transformations. Intended for undergraduate majors in mathematics, applied mathematics, chemistry, and physics, the treatment's only prerequisite is a first course in calculus. Proofs are given in detail, and carefully chosen problems demonstrate the variety of situations in which these concepts arise. After a brief Introduction, the text advances to chapters on the plane, linear dependence, span, dimension, bases, and subspaces. Subsequent chapters explore linear transformations, the dual space in terms of multilinear forms and determinants, a traditional treatment of determinants, and inner product spaces. Extensive Appendixes cover equations and identities; variables, quantifiers, and unknowns; sets; proofs; indices and summations; and functions. AUTHOR: Frank M. Stewart (19172011) was Professor of Mathematics at Brown University, where he taught from 1947 until his retirement in 1988. Introductory text stresses finite dimensional vector spaces and linear transformations. Detailed proofs, carefully chosen problems, extensive supplementary material. Intended for undergraduates; only a first course in calculus needed. 1963 edition. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: Introduction to Linear Algebra (Paperback)
Publisher: Dover Publications Inc., New York
Publication Date: 2019
Language: English
ISBN 10: 0486834123
ISBN 13: 9780486834122
Binding: Paperback
Condition: new

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Synopsis

Introduction to Linear Algebra stresses finite dimensional vector spaces and linear transformations. Intended for undergraduate majors in mathematics, applied mathematics, chemistry, and physics, the treatment's only prerequisite is a first course in calculus. Proofs are given in detail, and carefully chosen problems demonstrate the variety of situations in which these concepts arise.
After a brief Introduction, the text advances to chapters on the plane, linear dependence, span, dimension, bases, and subspaces. Subsequent chapters explore linear transformations, the dual space in terms of multilinear forms and determinants, a traditional treatment of determinants, and inner product spaces. Extensive Appendixes cover equations and identities; variables, quantifiers, and unknowns; sets; proofs; indices and summations; and functions.

About the Author

Frank M. Stewart (1917–2011) was Professor of Mathematics at Brown University, where he taught from 1947 until his retirement in 1988.

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