Linear Algebra and Its Applications

By Peter D. Lax | Publisher: Wiley

About the book

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.

Editions of Linear Algebra and Its Applications

Hardcover
ISBN 9780471751564
EBook
ISBN 9781118626924

Read an Excerpt

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.

Frequently Asked Questions

What is Linear Algebra and Its Applications about?

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.

What core themes, tropes, or subjects are explored in Linear Algebra and Its Applications?

Mathematics and Science > Mathematics > Algebra

Where can I read a sample of Linear Algebra and Its Applications?

You can read an official preview of the few pages here https://www.book2look.com/book/9780471751564

Is Linear Algebra and Its Applications part of a series, and can it be read as a standalone?

Yes it is a part of series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts

Who is/are the Author/s of the book Linear Algebra and Its Applications?

Peter D. Lax

Who is the Publisher of the book Linear Algebra and Its Applications?

Wiley

What are the ISBN numbers for the physical and digital editions?

Linear Algebra and Its Applications is available as hardcover(ISBN 9780471751564) and ebook(ISBN 9781118626924)

Where can I buy Linear Algebra and Its Applications online or support local independent bookshops?

You can buy Linear Algebra and Its Applications from below

Where can I buy Linear Algebra and Its Applications?