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Linear Algebra and Its Applications
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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: 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.
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: 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.
392 pages, Hardcover
First published January 1, 1996
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86 people want to read
About the author
Peter D. Lax
47 books7 followersPeter David Lax was a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics.
Lax has made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields.
In a 1958 paper Lax stated a conjecture about matrix representations for third order hyperbolic polynomials which remained unproven for over four decades. Interest in the "Lax conjecture" grew as mathematicians working in several different areas recognized the importance of its implications in their field, until it was finally proven to be true in 2003.
Lax has made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields.
In a 1958 paper Lax stated a conjecture about matrix representations for third order hyperbolic polynomials which remained unproven for over four decades. Interest in the "Lax conjecture" grew as mathematicians working in several different areas recognized the importance of its implications in their field, until it was finally proven to be true in 2003.
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Displaying 1 - 4 of 4 reviews
August 26, 2024
There's a lot of great material here (some of which is hard to find elsewhere), but the style makes it hard to read, and there are more than a few typos (and I can't find any errata online). This is the book Professor Matt Macauley uses for his Advanced Linear Algebra Class at Clemson; you can find video recordings of his lectures on YouTube.
July 22, 2010
This is one of the very best books on linear algebra that I have ever read. It strikes a wonderful balance between theory and practice. However, it is unequivocally for a mature audience. This is not a first book in linear algebra unless you are already mathematically quite mature. For example, it makes regular use of Duality notion and abstract (but very natural and insightful) proofs. However, if you have had a course in functional analysis this book is a breeze and filled with delicious little treats and beautiful ways of approaching familiar ideas.
April 3, 2008
My current favorite book on straight linear algebra (versus matrix analysis, functional analysis, or numerical linear algebra).
May 12, 2011
An excellent presentation of the modern tools of linear algebra. One should have a good grounding in undergraduate linear algebra and modern algebra before using this text, however.
Displaying 1 - 4 of 4 reviews