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  • Introduction to Applied Mathematics by Gilbert Strang (MIT).

    • Textbook review:

    Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.“

    ...Strang's book is an elegant masterpiece. As a former college math major and current University science professor who uses computation daily in research, this is the best general 'applied math' book I've ever seen. I highly recommend it to every graduate student and postdoc who passes through my lab. It is not a textbook in the usual sense, and is thus very different from Strang's much more widely known linear algebra texts. The level of the book is very mixed; parts are very elementary, and other sections really require advanced graduate background to fully comprehend. The book is 'modern' in every sense, full of opinions and marvelous insights, and even very witty in places. As one example, the book completely skips the series solutions to the diffusion equation (about which most 'applied math' books drone on for far too many pages) and cuts right to the Gaussian kernel solution. The discussion of Fourier analysis is fresh and excellent. The grouping of many ideas under the umbrella of 'approach to equilibrium' and 'minimum principles' is a superior organization. There are many other modernisms like these.... too many to count. Just from reading the preface, you can tell that this book was a labor of love for Strang, and it needs to be taken as such. Do not buy this book to cram for an exam -- buy it, and refer back to it often, to really learn modern applied math.”
    --From a review on amazon.com, Jay Ponder, St. Louis, MO, September 18, 2000



    • About the author Gilbert Strang. 
    
  https://en.wikipedia.org/wiki/Gilbert_Strang

      http://www-math.mit.edu/~gs/

Gilbert Strang received his Ph.D. from UCLA and since then he has taught
at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow
of the American Academy of Arts and Sciences. He is a Professor of
Mathematics at MIT and an Honorary Fellow of Balliol College. 

    Professor Strang has published eight textbooks. He received the von Neumann Medal of
the US Association for Computational Mechanics, and the Henrici Prize for
applied analysis. The first Su Buchin Prize from the International
Congress of Industrial and Applied Mathematics, and the Haimo Prize from
the Mathematical Association of America, were awarded for his
contributions to teaching around the world.

    Video lectures of Gilbert Strang

    Gilbert Strang' service