Undergraduate Texts in Mathematics

Linear Algebra Through Geometry

Authors: Banchoff, Thomas, Wermer, John

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About this Textbook

Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry.

Table of contents (35 chapters)

Table of contents (35 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-1-4612-4390-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.95
price for USA in USD
  • ISBN 978-0-387-97586-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $74.95
price for USA in USD
  • ISBN 978-1-4612-8752-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Linear Algebra Through Geometry
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1992
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4612-4390-8
DOI
10.1007/978-1-4612-4390-8
Hardcover ISBN
978-0-387-97586-3
Softcover ISBN
978-1-4612-8752-0
Series ISSN
0172-6056
Edition Number
2
Number of Pages
XII, 308
Topics