## Book description

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.

## Table of contents

- Front Cover (1/2)
- Front Cover (2/2)
- Dedication
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- Acknowledgments
- List of Figures
- Symbol Description (1/2)
- Symbol Description (2/2)
- 1: Vector Spaces (1/10)
- 1: Vector Spaces (2/10)
- 1: Vector Spaces (3/10)
- 1: Vector Spaces (4/10)
- 1: Vector Spaces (5/10)
- 1: Vector Spaces (6/10)
- 1: Vector Spaces (7/10)
- 1: Vector Spaces (8/10)
- 1: Vector Spaces (9/10)
- 1: Vector Spaces (10/10)
- 2: Linear Transformations (1/8)
- 2: Linear Transformations (2/8)
- 2: Linear Transformations (3/8)
- 2: Linear Transformations (4/8)
- 2: Linear Transformations (5/8)
- 2: Linear Transformations (6/8)
- 2: Linear Transformations (7/8)
- 2: Linear Transformations (8/8)
- 3: Polynomials (1/4)
- 3: Polynomials (2/4)
- 3: Polynomials (3/4)
- 3: Polynomials (4/4)
- 4: Theory of a Single Linear Operator (1/10)
- 4: Theory of a Single Linear Operator (2/10)
- 4: Theory of a Single Linear Operator (3/10)
- 4: Theory of a Single Linear Operator (4/10)
- 4: Theory of a Single Linear Operator (5/10)
- 4: Theory of a Single Linear Operator (6/10)
- 4: Theory of a Single Linear Operator (7/10)
- 4: Theory of a Single Linear Operator (8/10)
- 4: Theory of a Single Linear Operator (9/10)
- 4: Theory of a Single Linear Operator (10/10)
- 5: Normed and Inner Product Spaces (1/12)
- 5: Normed and Inner Product Spaces (2/12)
- 5: Normed and Inner Product Spaces (3/12)
- 5: Normed and Inner Product Spaces (4/12)
- 5: Normed and Inner Product Spaces (5/12)
- 5: Normed and Inner Product Spaces (6/12)
- 5: Normed and Inner Product Spaces (7/12)
- 5: Normed and Inner Product Spaces (8/12)
- 5: Normed and Inner Product Spaces (9/12)
- 5: Normed and Inner Product Spaces (10/12)
- 5: Normed and Inner Product Spaces (11/12)
- 5: Normed and Inner Product Spaces (12/12)
- 6: Linear Operators on Inner Product Spaces (1/6)
- 6: Linear Operators on Inner Product Spaces (2/6)
- 6: Linear Operators on Inner Product Spaces (3/6)
- 6: Linear Operators on Inner Product Spaces (4/6)
- 6: Linear Operators on Inner Product Spaces (5/6)
- 6: Linear Operators on Inner Product Spaces (6/6)
- 7: Trace and Determinant of a Linear Operator (1/7)
- 7: Trace and Determinant of a Linear Operator (2/7)
- 7: Trace and Determinant of a Linear Operator (3/7)
- 7: Trace and Determinant of a Linear Operator (4/7)
- 7: Trace and Determinant of a Linear Operator (5/7)
- 7: Trace and Determinant of a Linear Operator (6/7)
- 7: Trace and Determinant of a Linear Operator (7/7)
- 8: Bilinear Forms (1/11)
- 8: Bilinear Forms (2/11)
- 8: Bilinear Forms (3/11)
- 8: Bilinear Forms (4/11)
- 8: Bilinear Forms (5/11)
- 8: Bilinear Forms (6/11)
- 8: Bilinear Forms (7/11)
- 8: Bilinear Forms (8/11)
- 8: Bilinear Forms (9/11)
- 8: Bilinear Forms (10/11)
- 8: Bilinear Forms (11/11)
- 9: Sesquilinear Forms and Unitary Geometry (1/4)
- 9: Sesquilinear Forms and Unitary Geometry (2/4)
- 9: Sesquilinear Forms and Unitary Geometry (3/4)
- 9: Sesquilinear Forms and Unitary Geometry (4/4)
- 10: Tensor Products (1/12)
- 10: Tensor Products (2/12)
- 10: Tensor Products (3/12)
- 10: Tensor Products (4/12)
- 10: Tensor Products (5/12)
- 10: Tensor Products (6/12)
- 10: Tensor Products (7/12)
- 10: Tensor Products (8/12)
- 10: Tensor Products (9/12)
- 10: Tensor Products (10/12)
- 10: Tensor Products (11/12)
- 10: Tensor Products (12/12)
- 11: Linear Groups and Groups of Isometries (1/13)
- 11: Linear Groups and Groups of Isometries (2/13)
- 11: Linear Groups and Groups of Isometries (3/13)
- 11: Linear Groups and Groups of Isometries (4/13)
- 11: Linear Groups and Groups of Isometries (5/13)
- 11: Linear Groups and Groups of Isometries (6/13)
- 11: Linear Groups and Groups of Isometries (7/13)
- 11: Linear Groups and Groups of Isometries (8/13)
- 11: Linear Groups and Groups of Isometries (9/13)
- 11: Linear Groups and Groups of Isometries (10/13)
- 11: Linear Groups and Groups of Isometries (11/13)
- 11: Linear Groups and Groups of Isometries (12/13)
- 11: Linear Groups and Groups of Isometries (13/13)
- 12: Additional Topics in Linear Algebra (1/10)
- 12: Additional Topics in Linear Algebra (2/10)
- 12: Additional Topics in Linear Algebra (3/10)
- 12: Additional Topics in Linear Algebra (4/10)
- 12: Additional Topics in Linear Algebra (5/10)
- 12: Additional Topics in Linear Algebra (6/10)
- 12: Additional Topics in Linear Algebra (7/10)
- 12: Additional Topics in Linear Algebra (8/10)
- 12: Additional Topics in Linear Algebra (9/10)
- 12: Additional Topics in Linear Algebra (10/10)
- 13: Applications of Linear Algebra (1/9)
- 13: Applications of Linear Algebra (2/9)
- 13: Applications of Linear Algebra (3/9)
- 13: Applications of Linear Algebra (4/9)
- 13: Applications of Linear Algebra (5/9)
- 13: Applications of Linear Algebra (6/9)
- 13: Applications of Linear Algebra (7/9)
- 13: Applications of Linear Algebra (8/9)
- 13: Applications of Linear Algebra (9/9)
- Appendix A: Concepts from Topology and Analysis
- Appendix B: Concepts from Group Theory (1/2)
- Appendix B: Concepts from Group Theory (2/2)
- Appendix C: Answers to Selected Exercises (1/2)
- Appendix C: Answers to Selected Exercises (2/2)
- Appendix D: Hints to Selected Problems (1/3)
- Appendix D: Hints to Selected Problems (2/3)
- Appendix D: Hints to Selected Problems (3/3)
- Bibliography
- Back Cover

## Product information

- Title: Advanced Linear Algebra, 2nd Edition
- Author(s):
- Release date: December 2015
- Publisher(s): Chapman and Hall/CRC
- ISBN: 9781482248852

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