Linear Algebra: Ideas and Applications

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John Wiley & Sons, Nov 23, 2015 - Mathematics - 512 pages
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Praise for the Third Edition

"This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications." Electric Review

A comprehensive introduction, Linear Algebra: Ideas and Applications, Fourth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique.

The book introduces each new concept in the context of an explicit numerical example, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fourth Edition also features:

  • Two new and independent sections on the rapidly developing subject of wavelets
  • A thoroughly updated section on electrical circuit theory
  • Illuminating applications of linear algebra with self-study questions for additional study
  • End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material
  • Numerous computer exercises throughout using MATLAB® code
  • A companion website with translations of the book’s computer exercises into MapleTM code

Linear Algebra: Ideas and Applications, Fourth Edition is an excellent undergraduate-level textbook for one or two semester undergraduate courses in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.

Richard C. Penney, PhD, is Professor in the Department of Mathematics and Director of the Mathematics/Statistics Actuarial Science Program at Purdue University. He has authored numerous journal articles, received several major teaching awards, and is an active researcher.

 

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Contents

viii
6
vi
26
2
97
DETERMINANTS
238
EIGENVECTORS AND EIGENVALUES
271
ORTHOGONALITY
308
7
384
149
418
GENERALIZED EIGENVECTORS
421
NUMERICAL TECHNIQUES
446
ANSWERS AND HINTS
465
INDEX
487
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