Introduction to Linear Algebra

    Introduction to Linear Algebra

    By Frank M. Stewart

    $19.95

    Publication Date: 17th July 2019

    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... Read More
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    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... Read More
    Description
    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.

    Reprint of the D. Van Nostrand, Princeton, New Jersey, 1963 edition.
    Details
    • Price: $19.95
    • Pages: 304
    • Publisher: Dover Publications
    • Imprint: Dover Publications
    • Series: Dover Books on Mathematics
    • Publication Date: 17th July 2019
    • Trim Size: 6 x 9 in
    • ISBN: 9780486834122
    • Format: Paperback
    • BISACs:
      MATHEMATICS / Algebra / Linear
    Author Bio
    Frank M. Stewart (1917–2011) was Professor of Mathematics at Brown University, where he taught from 1947 until his retirement in 1988.
    Table of Contents
    Preface
    Note to the Reader
    I. Introduction
    II. The Plane
    III. Linear Dependence, Span, Dimension, Bases, Subspaces
    IV. Linear Transformations
    V. The Dual Space: Multilinear Forms, Determinants
    VI. Determinants: A Traditional Treatment
    VII. Inner Product Spaces
    Appendix A. Equations and Identities
    Appendix B. Variables and Quantifiers, Unknowns
    Appendic C. Sets
    Appendix D. Proofs
    Appendix E. Indices and Summations
    Appendix F. Functions
    Index of Symbols
    Index
    Index of Definitions, Theorems, Corollaries, and Lemmas
    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.

    Reprint of the D. Van Nostrand, Princeton, New Jersey, 1963 edition.
    • Price: $19.95
    • Pages: 304
    • Publisher: Dover Publications
    • Imprint: Dover Publications
    • Series: Dover Books on Mathematics
    • Publication Date: 17th July 2019
    • Trim Size: 6 x 9 in
    • ISBN: 9780486834122
    • Format: Paperback
    • BISACs:
      MATHEMATICS / Algebra / Linear
    Frank M. Stewart (1917–2011) was Professor of Mathematics at Brown University, where he taught from 1947 until his retirement in 1988.
    Preface
    Note to the Reader
    I. Introduction
    II. The Plane
    III. Linear Dependence, Span, Dimension, Bases, Subspaces
    IV. Linear Transformations
    V. The Dual Space: Multilinear Forms, Determinants
    VI. Determinants: A Traditional Treatment
    VII. Inner Product Spaces
    Appendix A. Equations and Identities
    Appendix B. Variables and Quantifiers, Unknowns
    Appendic C. Sets
    Appendix D. Proofs
    Appendix E. Indices and Summations
    Appendix F. Functions
    Index of Symbols
    Index
    Index of Definitions, Theorems, Corollaries, and Lemmas