{"product_id":"linear-algebra-and-its-applications-hardback-9780471751564","title":"Linear Algebra and Its Applications (Hardback) 9780471751564","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLinear Algebra and Its Applications\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003ePeter D. Lax (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471751564, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 5 October 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e392 pages, Graphs: 5 B\u0026amp;W, 0 Color\u003cbr\u003e23.9 x 15.8 x 2.5 cm, 0.68 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"...an informative and useful book, distinguished by its blend of theory and applications, which fulfills its goals admirably.\" (\u003ci\u003eMAA Review\u003c\/i\u003e March 2008)\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis set features\u003cbr\u003e\u003cbr\u003e\u003ci\u003eLinear Algebra and Its Applications, Second Edition\u003c\/i\u003e (978-0-471-75156-4)\u003cbr\u003e\u003ci\u003eLinear Algebra and Its Applications\u003c\/i\u003e, 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.\u003cbr\u003e\u003cbr\u003eBeginning 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.\u003cbr\u003e\u003cbr\u003eFurther updates and revisions have been included to reflect the most up-to-date coverage of the topic, including: \u003cul\u003e \u003cli\u003eThe QR algorithm for finding the eigenvalues of a self-adjoint matrix\u003c\/li\u003e \u003cli\u003eThe Householder algorithm for turning self-adjoint matrices into tridiagonal form\u003c\/li\u003e \u003cli\u003eThe compactness of the unit ball as a criterion of finite dimensionality of a normed linear space\u003c\/li\u003e \u003c\/ul\u003e 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.\u003cbr\u003e\u003cbr\u003eClear, 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.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003eand \u003ci\u003eFunctional Analysis\u003c\/i\u003e (978-0-471-55604-6) both by Peter D. Lax.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface.  \u003cp\u003ePreface to the First Edition.\u003c\/p\u003e \u003cp\u003e1. Fundamentals.\u003c\/p\u003e \u003cp\u003e2. Duality.\u003c\/p\u003e \u003cp\u003e3. Linear Mappings.\u003c\/p\u003e \u003cp\u003e4. Matrices.\u003c\/p\u003e \u003cp\u003e5. Determinant and Trace.\u003c\/p\u003e \u003cp\u003e6. Spectral Theory.\u003c\/p\u003e \u003cp\u003e7. Euclidean Structure.\u003c\/p\u003e \u003cp\u003e8. Spectral Theory of Self-Adjoint Mappings.\u003c\/p\u003e \u003cp\u003e9. Calculus of Vector- and Matrix-Valued Functions.\u003c\/p\u003e \u003cp\u003e10. Matrix Inequalities.\u003c\/p\u003e \u003cp\u003e11. Kinematics and Dynamics.\u003c\/p\u003e \u003cp\u003e12. Convexity.\u003c\/p\u003e \u003cp\u003e13. The Duality Theorem.\u003c\/p\u003e \u003cp\u003e14. Normed Linear Spaces.\u003c\/p\u003e \u003cp\u003e15. Linear Mappings Between Normed Linear Spaces.\u003c\/p\u003e \u003cp\u003e16. Positive Matrices.\u003c\/p\u003e \u003cp\u003e17. How to Solve Systems of Linear Equations.\u003c\/p\u003e \u003cp\u003e18. How to Calculate the Eigenvalues of Self-Adjoint Matrices.\u003c\/p\u003e \u003cp\u003e19. Solutions.\u003c\/p\u003e \u003cp\u003eBibliography.\u003c\/p\u003e \u003cp\u003eAppendix 1. Special Determinants.\u003c\/p\u003e \u003cp\u003eAppendix 2. The Pfaffian.\u003c\/p\u003e \u003cp\u003eAppendix 3. Symplectic Matrices.\u003c\/p\u003e \u003cp\u003eAppendix 4. Tensor Product.\u003c\/p\u003e \u003cp\u003eAppendix 5. Lattices.\u003c\/p\u003e \u003cp\u003eAppendix 6. Fast Matrix Multiplication.\u003c\/p\u003e \u003cp\u003eAppendix 7. Gershgorin's Theorem.\u003c\/p\u003e \u003cp\u003eAppendix 8. The Multiplicity of Eigenvalues.\u003c\/p\u003e \u003cp\u003eAppendix 9. The Fast Fourier Transform.\u003c\/p\u003e \u003cp\u003eAppendix 10. The Spectral Radius.\u003c\/p\u003e \u003cp\u003eAppendix 11. The Lorentz Group.\u003c\/p\u003e \u003cp\u003eAppendix 12. Compactness of the Unit Ball.\u003c\/p\u003e \u003cp\u003eAppendix 13. A Characterization of Commutators.\u003c\/p\u003e \u003cp\u003eAppendix 14. Liapunov's Theorem.\u003c\/p\u003e \u003cp\u003eAppendix 15. The Jordan Canonical Form.\u003c\/p\u003e \u003cp\u003eAppendix 16. Numerical Range.\u003c\/p\u003e \u003cp\u003eIndex.\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-Interscience","offers":[{"title":"Brand New","offer_id":52460679659800,"sku":"9780471751564","price":68.98,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780471751564.jpg?v=1785457952","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/linear-algebra-and-its-applications-hardback-9780471751564","provider":"Freshly Printed Books","version":"1.0","type":"link"}