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Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts Ser.: Linear Algebra and Its Applications by Peter D. Lax (2007, Hardcover, Revised edition)

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This set features Linear Algebra and Its Applications, Second Edition (978-0-471-75156-4) Linear Algebra and Its Applications , Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student-friendly additions that enhance the book's accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up-to-date coverage of the topic, including: The QR algorithm for finding the eigenvalues of a self-adjoint matrix The Householder algorithm for turning self-adjoint matrices into tridiagonal form The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov's stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy's elegant proof of Halmos' conjecture about the numerical range of matrices. Clear, concise, and superbly organized, Linear Algebra and Its Applications, Second Edition serves as an excellent text for advanced undergraduate- and graduate-level courses in linear algebra. Its comprehensive treatment of the subject also makes it an ideal reference or self-study for industry professionals. and Functional Analysis (978-0-471-55604-6) both by Peter D. Lax.

Product Identifiers

Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0471751561
ISBN-13
9780471751564
eBay Product ID (ePID)
62984014

Product Key Features

Author
Peter D. Lax
Publication Name
Linear Algebra and Its Applications
Format
Hardcover
Language
English
Features
Revised
Subject
Algebra / Linear
Publication Year
2007
Series
Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts Ser.
Type
Textbook
Subject Area
Mathematics
Number of Pages
392 Pages

Dimensions

Item Length
9.4 in
Item Height
1 in
Item Width
6.2 in
Item Weight
24.1 Oz

Additional Product Features

Edition Number
2
LCCN
2007-023226
Intended Audience
Scholarly & Professional
Series Volume Number
78
Lc Classification Number
Qa184.2.L38 2008
Edition Description
Revised Edition
Reviews
"...an informative and useful book, distinguished by its blend of theory and applications, which fulfills its goals admirably." ( MAA Review March 2008)
Table of Content
Preface. Preface to the First Edition. 1. Fundamentals. 2. Duality. 3. Linear Mappings. 4. Matrices. 5. Determinant and Trace. 6. Spectral Theory. 7. Euclidean Structure. 8. Spectral Theory of Self-Adjoint Mappings. 9. Calculus of Vector- and Matrix-Valued Functions. 10. Matrix Inequalities. 11. Kinematics and Dynamics. 12. Convexity. 13. The Duality Theorem. 14. Normed Linear Spaces. 15. Linear Mappings Between Normed Linear Spaces. 16. Positive Matrices. 17. How to Solve Systems of Linear Equations. 18. How to Calculate the Eigenvalues of Self-Adjoint Matrices. 19. Solutions. Bibliography. Appendix 1. Special Determinants. Appendix 2. The Pfaffian. Appendix 3. Symplectic Matrices. Appendix 4. Tensor Product. Appendix 5. Lattices. Appendix 6. Fast Matrix Multiplication. Appendix 7. Gershgorin's Theorem. Appendix 8. The Multiplicity of Eigenvalues. Appendix 9. The Fast Fourier Transform. Appendix 10. The Spectral Radius. Appendix 11. The Lorentz Group. Appendix 12. Compactness of the Unit Ball. Appendix 13. A Characterization of Commutators. Appendix 14. Liapunov's Theorem. Appendix 15. The Jordan Canonical Form. Appendix 16. Numerical Range. Index.
Copyright Date
2007
Dewey Decimal
512/.5
Dewey Edition
22
Illustrated
Yes

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Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts Ser.: Linear Algebra and Its Applications by Peter D. Lax (2007, Hardcover, Revised edition)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Linear Algebra and Its Applications

item 2 Linear Algebra and Its Applications, 2nd Edition

item 3 Linear Algebra and Its Applications Hardcover Peter D. Lax

item 4 Linear Algebra 2E by Lax: Used

item 5 Linear Algebra and Its Applications, Hardcover by Lax, Peter D., Like New Use...

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