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A Course in Linear Algebra: (Dover Books on Mathema 1.4tics)

A Course in Linear Algebra: (Dover Books on Mathema 1.4tics)


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About the Book

Suitable for advanced undergraduates and graduate students, this text offers a complete introduction to the basic concepts of linear algebra. Interesting and inspiring in its approach, it imparts an understanding of the subject's logical structure as well as the ways in which linear algebra provides solutions to problems in many branches of mathematics.The authors define general vector spaces and linear mappings at the outset and base all subsequent developments on these concepts. This approach provides a ready-made context, motivation, and geometric interpretation for each new computational technique. Proofs and abstract problem-solving are introduced from the start, offering students an immediate opportunity to practice applying what they've learned. Each chapter contains an introduction, summary, and supplementary exercises. The text concludes with a pair of helpful appendixes and solutions to selected exercises.

Table of Contents:
Preface A Guide to the Exercises 1. Vector Spaces 2. Linear Transformations 3. The Determinant Function 4. Eigenvalues, Eigenvectors, Diagonalization, and the Spectral Theorem in Rn 5. Complex Numbers and Complex Vector Spaces 6. Jordan Canonical Form 7. Differential Equations Appendix 1: Some Basic Logic and Set Theory Appendix 2: Mathematical Induction Solutions Index

About the Author :
The authors are Professors of Mathematics at College of the Holy Cross.


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Product Details
  • ISBN-13: 9780486469089
  • Publisher: Dover Publications Inc.
  • Publisher Imprint: Dover Publications Inc.
  • Height: 234 mm
  • No of Pages: 464
  • Spine Width: 21 mm
  • Width: 155 mm
  • ISBN-10: 0486469085
  • Publisher Date: 30 Sep 2011
  • Binding: Paperback
  • Language: English
  • Series Title: Dover Books on Mathema 1.4tics
  • Weight: 609 gr


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A Course in Linear Algebra: (Dover Books on Mathema 1.4tics)
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