Advanced Linear Algebra
eBook - PDF

Advanced Linear Algebra

  1. 349 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Advanced Linear Algebra

About this book

Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author's emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields. The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products.

Written in clear and concise language, the text sticks to the development of linear algebra without excessively addressing applications. A unique chapter on "How to Use Linear Algebra" is offered after the theory is presented. In addition, students are given pointers on how to start a research project. The proofs are clear and complete and the exercises are well designed. In addition, full solutions are included for almost all exercises.

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Yes, you can access Advanced Linear Algebra by Hugo Woerdeman 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

Edition
1
Subtopic
Algebra

Table of contents

  1. Front Cover
  2. Contents
  3. Preface to the Instructor
  4. Preface to the Student
  5. Acknowledgments
  6. Notation
  7. List of Figures
  8. Chapter 1: Fields and Matrix Algebra
  9. Chapter 2: Vector Spaces
  10. Chapter 3: Linear Transformations
  11. Chapter 4: The Jordan Canonical Form
  12. Chapter 5: Inner Product and Normed Vector Spaces
  13. Chapter 6: Constructing New Vector Spaces from Given Ones
  14. Chapter 7: How to Use Linear Algebra
  15. How to Start Your Own ResearchProject
  16. Answers to Exercises
  17. Bibliography
  18. Back Cover