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About this Textbook

This text is written for a course in linear algebra at the (U.S.) sophomore undergraduate level, preferably directly following a one-variable calculus course, so that linear algebra can be used in a course on multidimensional calculus. Realizing that students at this level have had little contact with complex numbers or abstract mathematics the book deals almost exclusively with real finite-dimensional vector spaces in a setting and formulation that permits easy generalization to abstract vector spaces. The parallel complex theory is developed in the exercises. The book has as a goal the principal axis theorem for real symmetric transformations, and a more or less direct path is followed. As a consequence there are many subjects that are not developed, and this is intentional. However a wide selection of examples of vector spaces and linear trans­ formations is developed, in the hope that they will serve as a testing ground for the theory. The book is meant as an introduction to linear algebra and the theory developed contains the essentials for this goal. Students with a need to learn more linear algebra can do so in a course in abstract algebra, which is the appropriate setting. Through this book they will be taken on an excursion to the algebraic/analytic zoo, and introduced to some of the animals for the first time. Further excursions can teach them more about the curious habits of some of these remarkable creatures.

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-1-4615-9995-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Linear Algebra
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1978
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag, New York Inc.
eBook ISBN
978-1-4615-9995-1
DOI
10.1007/978-1-4615-9995-1
Series ISSN
0172-6056
Edition Number
1
Number of Pages
VII, 280
Topics