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Linear Algebra

  • Textbook
  • © 1994

Overview

Authors:
  1. Klaus Jänich

    1. NWF I—Mathematik, Universität Regensburg, Regensburg, Germany

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Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-IX
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  2. Sets and Maps

    • Klaus Jänich
    Pages 1-14

  3. Vector Spaces

    • Klaus Jänich
    Pages 15-42

  4. Dimension

    • Klaus Jänich
    Pages 43-61

  5. Linear Maps

    • Klaus Jänich
    Pages 62-84

  6. Matrix Calculus

    • Klaus Jänich
    Pages 85-102

  7. Determinants

    • Klaus Jänich
    Pages 103-119

  8. Systems of Linear Equations

    • Klaus Jänich
    Pages 120-135

  9. Euclidean Vector Spaces

    • Klaus Jänich
    Pages 136-150

  10. Eigenvalues

    • Klaus Jänich
    Pages 151-161

  11. The Principal Axes Transformation

    • Klaus Jänich
    Pages 162-170

  12. Classification of Matrices

    • Klaus Jänich
    Pages 171-186

  13. Answers to the Tests

    • Klaus Jänich
    Pages 187-199

  14. Back Matter

    Pages 200-205
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Keywords

About this book

The original version of this book, handed out to my students in weekly in­ stallments, had a certain rugged charm. Now that it is dressed up as a Springer UTM volume, I feel very much like Alfred Dolittle at Eliza's wedding. I hope the reader will still sense the presence of a young lecturer, enthusiastically urging his audience to enjoy linear algebra. The book is structured in various ways. For example, you will find a test in each chapter; you may consider the material up to the test as basic and the material following the test as supplemental. In principle, it should be possible to go from the test directly to the basic material of the next chapter. Since I had a mixed audience of mathematics and physics students, I tried to give each group some special attention, which in the book results in certain sections being marked· "for physicists" or "for mathematicians. " Another structural feature of the text is its division into laconic main text, put in boxes, and more talkative unboxed side text. If you follow just the main text, jumping from box to box, you will find that it makes coherent reading, a real "book within the book," presenting all that I want to teach.

Authors and Affiliations

  • NWF I—Mathematik, Universität Regensburg, Regensburg, Germany

    Klaus Jänich

Bibliographic Information

  • Book Title: Linear Algebra

  • Authors: Klaus Jänich

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4298-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1994

  • Hardcover ISBN: 978-0-387-94128-8Published: 02 September 1994

  • Softcover ISBN: 978-1-4612-8729-2Published: 26 September 2011

  • eBook ISBN: 978-1-4612-4298-7Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: X, 206

  • Topics: Algebra

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