- 622 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Advanced Linear Algebra
About this book
This book discusses structure theory of an operator, topics on inner product spaces, and trace and determinant functions of a linear operator. It addresses bilinear forms with a full treatment of symplectic spaces and orthogonal spaces, as well as explains construction of tensor, symmetric, and exterior algebras. Featuring several new exercises, the second edition adds coverage of sesquilinear forms, linear groups, matrices, normed vector spaces, orthogonal spaces over perfect fields of characteristic two, and Clifford algebras. A solutions manual is available upon qualifying course adoption.
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Yes, you can access Advanced Linear Algebra by Bruce Cooperstein 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
Table of contents
- Cover
- Half-Title Page
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- Preface to the Second Edition
- Preface to the First Edition
- Acknowledgments
- List of Figures
- Symbol Description
- 1 Vector Spaces
- 2 Linear Transformations
- 3 Polynomials
- 4 Theory of a Single Linear Operator
- 5 Normed and Inner Product Spaces
- 6 Linear Operators on Inner Product Spaces
- 7 Trace and Determinant of a Linear Operator
- 8 Bilinear Forms
- 9 Sesquilinear Forms and Unitary Geometry
- 10 Tensor Products
- 11 Linear Groups and Groups of Isometries
- 12 Additional Topics in Linear Algebra
- 13 Applications of Linear Algebra
- Appendix A Concepts fr om Topology and Analysis
- Appendix B Concepts from Group Theory
- Appendix C Answers to Selected Exercises
- Appendix D Hints to Se lected Problems
- Bibliography
- Index