Linear Algebra
eBook - PDF

Linear Algebra

  1. 336 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Linear Algebra

Book details
Table of contents
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About This Book

Linear Algebra is intended to be used as a text for a one-semester course in linear algebra at the undergraduate level. The treatment of the subject will be both useful to students of mathematics and those interested primarily in applications of the theory. The major prerequisite for mastering the material is the readiness of the student to reason abstractly. Specifically, this calls for an understanding of the fact that axioms are assumptions and that theorems are logical consequences of one or more axioms. Familiarity with calculus and linear differential equations is required for understanding some of the examples and exercises. This book sets itself apart from other similar textbooks through its dedication to the principle that, whenever possible, definitions and theorems should be stated in a form which is independent of the notion of the dimension of a vector space. A second feature of this book which is worthy of mention is the early introduction of inner product spaces and the associated metric concepts. Students soon feel at ease with this class of spaces because they share so many properties with physical space when equipped with a rectangular coordinate system. Finally, the book includes a chapter concerned with several applications to other fields of the theory that have been developed.

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Yes, you can access Linear Algebra by R. R. Stoll,E. T. Wong in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483265230
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Front Cover
  2. Linear Algebra
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Symbols
  7. Chapter 1. VECTOR SPACES
  8. Chapter 2. FURTHER PROPERTIES OF VECTOR SPACES
  9. Chapter 3. INNER-PRODUCT SPACES
  10. Chapter 4. LINEAR TRANSFORMATIONS
  11. Chapter 5. MATRICES
  12. Chapter 6. ALGEBRAIC PROPERTIES OF LINEAR TRANSFORMATIONS
  13. Chapter 7. BILINEAR FORMS AND QUADRATIC FORMS
  14. Chapter 8. DECOMPOSITION THEOREMS FOR NORMAL TRANSFORMATIONS
  15. Chapter 9. SEVERAL APPLICATIONS OF LINEAR ALGEBRA
  16. Appendix: NOTIONS OF SET THEORY
  17. INDEX