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Abstract Linear Algebra

  • Textbook
  • © 1990

Overview

Authors:
  1. Morton L. Curtis

    1. Department of Mathematics, Rice University, Houston, USA

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Part of the book series: Universitext (UTX)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. Algebraic Preliminaries

    • Morton L. Curtis
    Pages 1-7

  3. Vector Spaces and Linear Maps

    • Morton L. Curtis
    Pages 9-46

  4. Matrices and Determinants

    • Morton L. Curtis
    Pages 47-80

  5. Rings and Polynomials

    • Morton L. Curtis
    Pages 81-110

  6. Inner Product Spaces

    • Morton L. Curtis
    Pages 111-139

  7. Normed Algebras

    • Morton L. Curtis
    Pages 141-162

  8. Back Matter

    Pages 163-168
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Keywords

About this book

Beginning from scratch and developing the standard topics of Linear Algebra, this book is intended as a text for a first course on the subject. The goal to which this work leads is the Theorem of Hurwitz - that the only normed algebras over the real numbers are the real numbers, the complex numbers, the quaternions, and the octonions. Unique in presenting this material at an elementary level, the book stresses the complete logical development of the subject and will provide a bavuable reference for mathematicians in general.

Authors and Affiliations

  • Department of Mathematics, Rice University, Houston, USA

    Morton L. Curtis

Bibliographic Information

  • Book Title: Abstract Linear Algebra

  • Authors: Morton L. Curtis

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4419-8764-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1990

  • Softcover ISBN: 978-0-387-97263-3Published: 25 June 1990

  • eBook ISBN: 978-1-4419-8764-8Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: X, 168

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Linear and Multilinear Algebras, Matrix Theory

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