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Linear Algebra and Its Applications.

Author: Peter D Lax
Publisher: Hoboken : Wiley, 2013.
Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Summary:
Praise for the First Edition"". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematician's bookshelf.""--American Mathematical MonthlyLinear 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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Lax, Peter D.
Linear Algebra and Its Applications.
Hoboken : Wiley, ©2013
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter D Lax
ISBN: 9781118626924 1118626923
OCLC Number: 854971799
Description: 1 online resource (468 pages).
Contents: Cover; Contents; The Wiley Bicentennial-Knowledge for Generations; Title Page; Copyright; Preface; Preface to the First Edition; Chapter 1: Fundamentals; Chapter 2: Duality; Chapter 3: Linear Mappings; Chapter 4: Matrices; Chapter 5: Determinant and Trace; Chapter 6: Spectral Theory; Chapter 7: Euclidean Structure; Chapter 8: Spectral Theory of Self-Adjoint Mappings; Chapter 9: Calculus of Vector- and Matrix-Valued Functions; Chapter 10: Matrix Inequalities; Chapter 11: Kinematics and Dynamics; Chapter 12: Convexity; Chapter 13: The Duality Theorem; Chapter 14: Normed Linear Spaces. Chapter 15: Linear Mappings Between Normed Linear SpacesChapter 16: Positive Matrices; Chapter 17: How to Solve Systems of Linear Equations; Chapter 18: How to Calculate the Eigenvalues of Self-Adjoint Matrices; Solutions of Selected Exercises; 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 GroupAppendix 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.
Series Title: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts.
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Abstract:

Praise for the First Edition"". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematician's bookshelf.""--American Mathematical MonthlyLinear 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.

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