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Linear Algebra for Everyone

Linear Algebra for Everyone

Linear Algebra for Everyone

Gilbert Strang, Massachusetts Institute of Technology
November 2020
Available
Hardback
9781733146630

Experience the eBook and the associated online resources on our new Higher Education website. Go to site For other formats please stay on this page.

£52.99
GBP
Hardback

    Linear algebra has become the subject to know for people in quantitative disciplines of all kinds. No longer the exclusive domain of mathematicians and engineers, it is now used everywhere there is data and everybody who works with data needs to know more. This new book from Professor Gilbert Strang, author of the acclaimed Introduction to Linear Algebra, now in its fifth edition, makes linear algebra accessible to everybody, not just those with a strong background in mathematics. It takes a more active start, beginning by finding independent columns of small matrices, leading to the key concepts of linear combinations and rank and column space. From there it passes on to the classical topics of solving linear equations, orthogonality, linear transformations and subspaces, all clearly explained with many examples and exercises. The last major topics are eigenvalues and the important singular value decomposition, illustrated with applications to differential equations and image compression. A final optional chapter explores the ideas behind deep learning.

    • Author is a world-renowned teacher of linear algebra who delivers the material in a clear and effective way that students will appreciate
    • Uses a highly accessible approach that enables students without a strong mathematics background to understand more advanced topics such as singular value decomposition (SVD)
    • Covers topics such as data science and deep learning that show why linear algebra isn't just for mathematicians
    • Comes with accompanying video lectures on the MIT OpenCourseWare website, giving students the option to self-study and learn at their own pace

    Reviews & endorsements

    'The author certainly makes every effort to explain all the concepts in great detail with well-chosen examples, and he provides a huge number of problems including 'challenge problems' and 'recommended problems'. There are also extensive web resources available.' Peter Giblin, University of Liverpool, The Mathematical Gazette

    See more reviews

    Product details

    November 2020
    Hardback
    9781733146630
    368 pages
    242 × 196 × 22 mm
    0.8kg
    Available

    Table of Contents

    • Preface
    • 1. Vectors and Matrices
    • 2. Solving Linear Equations Ax = b
    • 3. The Four Fundamental Subspaces
    • 4. Orthogonality
    • 5. Determinants and Linear Transformations
    • 6. Eigenvalues and Eigenvectors
    • 7. The Singular Value Decomposition (SVD)
    • 8. Learning from Data
    • Appendix 1. The Ranks of AB and A + B
    • Appendix 2. Eigenvalues and Singular Values: Rank One
    • Appendix 3. Counting Parameters in the Basic Factorizations
    • Appendix 4. Codes and Algorithms for Numerical Linear Algebra
    • Appendix 5. Matrix Factorizations
    • Appendix 6. The Column-Row Factorization of a Matrix
    • Appendix 7. The Jordan Form of a Square Matrix
    • Appendix 8. Tensors
    • Appendix 9. The Condition Number
    • Appendix 10. Markov Matrices and Perron-Frobenius
    • Index
    • Index of Symbols
    • Six Great Theorems / Linear Algebra in a Nutshell.
    Resources for
    Type
    First Day of Class Slides: Linear Algebra for Everyone by Strang
    Size: 578.96 KB
    Type: application/vnd.openxmlformats-officedocument.presentationml.presentation
    Book Website
      Author
    • Gilbert Strang , Massachusetts Institute of Technology

      Gilbert Strang has been teaching Linear Algebra at Massachusetts Institute of Technology (MIT) for over fifty years. His online lectures for MIT's OpenCourseWare have been viewed over ten million times. He is a former President of the Society for Industrial and Applied Mathematics and Chair of the Joint Policy Board for Mathematics. Professor Strang is the author of twelve books, including the bestselling classic Introduction to Linear Algebra (2016), now in its fifth edition.