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    Cover of Matrix Analysis

    Matrix Analysis

    Roger A. Horn, Charles R. Johnson · 1990

    In this book the authors present classical and recent results for matrix analysis that have proved to be important to applied mathematics. Facts about matrices, beyond those found in an elementary linear algebra course, are needed to understand virtually any area of mathematics, and the necessary material has only occurred sporadically in the literature and university curricula. As the interest in applied mathematics has grown, the need for a text and a reference work offering a broad selection of topics has become apparent, and this book aims to meet that need. This book will be welcomed as an undergraduate or graduate textbook for students studying matrix analysis. The authors assume a background in elementary linear algebra and knowledge of rudimentary analytical concepts. They begin with a review and discussion of eigenvalues and eigenvectors. The following chapters each treat a major topic in depth. This volume should be useful not only as a text, but also as a self-contained reference work to a variety of audiences in other scientific fields.

    Mathematics
    Open LibraryAmazon
    Stats for nerds
    7recommend
    14mentions
    11people
    2010–2025years
    50% recommend50% neutral

    Mentions per year

    201020122014201620182020202220242025

    What Hacker News says

    1. kwkellyMar 2024
      Matrix Analysis by Horn and Johnson is another great book, though it is a bit pricier than a Dover book.
      thread
    2. homerowilsonJan 2023
      I'm coming from an applied math perspective. A few of my favorites (and ones I find myself regularly referring to) are:

      Matrix Analysis by Horn and Johnson (perhaps the best end-of-chapter problem sets of any math book I've encountered!)

      Matrix Computations by Golub and Van Loan

      Elements of Statistical Learning by Hastie, Friedman, Tibshirani

      Functional Analysis by Reed and Simon

      thread
    3. tomrodJan 2020
      Thanks for pointing out TLA!

      Hawking was great, and wrote a fantastic book called "God Invented the Integers" where he details fascinating seminal math contributions.

      I'm a geek for Horn and Johnson of Matrix Analysis fame.

      Munkres topology has been bedtime reading for a long time.

      Quite a few philosophers strike my fancy, especially the existential school.

      thread
    4. geokonMay 2017
      If you want a more advanced book I really strongly recommend Matrix Analysis and it's Applications by Carl Meyer. Very clear and concise and the problems are well written. It's my all time favorite math book. But this is really if you want to absorb a lot of more-advanced linear algebra with a lot less fluff and exposition than Strang
      thread
    5. jakab922Dec 2013
      This is really basic. Noone(who uses the subject) should need a cheat sheet for this... Also there are really good books out there and linalg is a must nowdays. As for textbook: http://www.amazon.com/Linear-Algebra-Right-Undergraduate-Mat... As for reference: http://www.amazon.com/Matrix-Analysis-Roger-Horn/dp/05213863...
      thread
    6. cranilSep 2011
      if you're relearning, you should use Horn and Johnson's Matrix Analysis IMO
      thread

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