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Introduction to Linear Algebra

Introduction to Linear Algebra

6th Edition

$99.99 (C)

textbook
  • Date Published: April 2023
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Wellesley-Cambridge Press for availability.
  • format: Hardback
  • isbn: 9781733146678

$ 99.99 (C)
Hardback

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About the Authors
  • Linear algebra now rivals or surpasses calculus in importance for people working in quantitative fields of all kinds: engineers, scientists, economists and business people. Gilbert Strang has taught linear algebra at MIT for more than 50 years and the course he developed has become a model for teaching around the world. His video lectures on MIT OpenCourseWare have been viewed over ten million times and his twelve textbooks are popular with readers worldwide. This sixth edition of Professor Strang's most popular book, Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more active start. Then the book moves directly to the classical topics of linear equations, fundamental subspaces, least squares, eigenvalues and singular values – in each case expressing the key idea as a matrix factorization. The final chapters of this edition treat optimization and learning from data: the most active application of linear algebra today. Everything is explained thoroughly in Professor Strang's characteristic clear style. It is sure to delight and inspire the delight and inspire the next generation of learners.

    • The author is a world-renowned teacher of linear algebra who delivers the material in a clear and effective way that students appreciate
    • A new start introduces the key concepts of linear combinations and rank and column space earlier on
    • Features two new chapters on applications of linear algebra to vital modern problems of optimization and learning from data
    • Accompanies the author's phenomenally popular video lectures and comes with a companion website featuring further applications
    Read more

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    Product details

    • Edition: 6th Edition
    • Date Published: April 2023
    • format: Hardback
    • isbn: 9781733146678
    • length: 440 pages
    • dimensions: 242 x 196 x 25 mm
    • weight: 0.92kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Wellesley-Cambridge Press for availability.
  • Table of Contents

    1. Vectors and matrices
    2. Solving linear equations
    3. The four fundamental subspaces
    4. Orthogonality
    5. Determinants
    6. Eigenvalues and eigenvectors
    7. The singular value decomposition (SVD)
    8. Linear transformations
    9. Linear algebra in optimization
    10. Learning from data
    Appendix 1. The ranks of AB and A + B
    Appendix 2. Matrix factorizations
    Appendix 3. Counting parameters in the basic factorizations
    Appendix 4. Codes and algorithms for numerical linear algebra
    Appendix 5. The Jordan form of a square matrix
    Appendix 6. Tensors
    Appendix 7. The condition numbers of a matrix problem
    Appendix 8. Markov matrices and Perron-Frobenius
    Appendix 9. Elimination and factorization
    Appendix 10. Computer graphics
    Index of equations
    Index of notations
    Index.

  • 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.

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