Linear Algebra
eBook - ePub

Linear Algebra

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Linear Algebra

About this book

LINEAR ALGEBRA

EXPLORE A COMPREHENSIVE INTRODUCTORY TEXT IN LINEAR ALGEBRA WITH COMPELLING SUPPLEMENTARY MATERIALS, INCLUDING A COMPANION WEBSITE AND SOLUTIONS MANUALS

Linear Algebra delivers a fulsome exploration of the central concepts in linear algebra, including multidimensional spaces, linear transformations, matrices, matrix algebra, determinants, vector spaces, subspaces, linear independence, basis, inner products, and eigenvectors. While the text provides challenging problems that engage readers in the mathematical theory of linear algebra, it is written in an accessible and simple-to-grasp fashion appropriate for junior undergraduate students.

An emphasis on logic, set theory, and functions exists throughout the book, and these topics are introduced early to provide students with a foundation from which to attack the rest of the material in the text. Linear Algebra includes accompanying material in the form of a companion website that features solutions manuals for students and instructors. Finally, the concluding chapter in the book includes discussions of advanced topics like generalized eigenvectors, Schur's Lemma, Jordan canonical form, and quadratic forms. Readers will also benefit from the inclusion of:

  • A thorough introduction to logic and set theory, as well as descriptions of functions and linear transformations
  • An exploration of Euclidean spaces and linear transformations between Euclidean spaces, including vectors, vector algebra, orthogonality, the standard matrix, Gauss-Jordan elimination, inverses, and determinants
  • Discussions of abstract vector spaces, including subspaces, linear independence, dimension, and change of basis
  • A treatment on defining geometries on vector spaces, including the Gram-Schmidt process

Perfect for undergraduate students taking their first course in the subject matter, Linear Algebra will also earn a place in the libraries of researchers in computer science or statistics seeking an accessible and practical foundation in linear algebra.

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Yes, you can access Linear Algebra by Michael L. O'Leary in PDF and/or ePUB format, as well as other popular books in Mathematics & Linear Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2021
Print ISBN
9781119437444
eBook ISBN
9781119437604
Edition
1

Table of contents

  1. Cover
  2. Table of Contents
  3. Title Page
  4. Copyright
  5. Dedication
  6. Preface
  7. Acknowledgments
  8. About the Companion Website
  9. CHAPTER 1: Logic and Set Theory
  10. CHAPTER 2: Euclidean Space
  11. CHAPTER 3: Transformations and Matrices
  12. CHAPTER 4: Invertibility
  13. CHAPTER 5: Abstract Vectors
  14. CHAPTER 6: Inner Product Spaces
  15. CHAPTER 7: Matrix Theory
  16. Further Reading
  17. Index
  18. End User License Agreement