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Linear algebra done right / Sheldon Axler.

By: Material type: TextTextSeries: Undergraduate texts in mathematicsPublication details: New York : Springer, 2015.Edition: 3rd edDescription: xvii, 340 p. : color illustrations ; 25 cmISBN:
  • 9783319110790
Subject(s): DDC classification:
  • 512.5 23 Ax969
Contents:
1. Vector Spaces- 2. Finite-Dimensional Vector Spaces- 3. Linear Maps- 4. Polynomials- 5. Eigenvalues, Eigenvectors, and Invariant Subspaces- 6. Inner Product Spaces- 7. Operators on Inner Product Spaces- 8. Operators on Complex Vector Spaces- 9. Operators on Real Vector Spaces- 10. Trace and Determinant- Photo Credits- Symbol Index- Index.
Summary: This book focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512.5 Ax969 (Browse shelf(Opens below)) Available 136476
Total holds: 0

Includes indexes.

1. Vector Spaces-
2. Finite-Dimensional Vector Spaces-
3. Linear Maps-
4. Polynomials-
5. Eigenvalues, Eigenvectors, and Invariant Subspaces-
6. Inner Product Spaces-
7. Operators on Inner Product Spaces-
8. Operators on Complex Vector Spaces-
9. Operators on Real Vector Spaces-
10. Trace and Determinant-
Photo Credits-
Symbol Index-
Index.

This book focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.
The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces.

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