Introduction to Linear Algebra (英語) ハードカバー – 2016/8/11
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Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and cryptography • A new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (e.g. practice problems, exams, development of textbook examples), plus codes in MATLAB, Julia, and Python.
'Undergraduate mathematics textbooks are not what they used to be, and Gilbert Strang's superb new edition of Introduction to Linear Algebra is an example of everything that a modern textbook could possibly be, and more … the writing is engaging and personal, and the presentation is exceptionally clear and informative (even seasoned instructors may benefit from Strang's insights) … I would like to stress that there is a richness to the material that goes beyond most texts at this level.' Douglas Farenick, Bulletin of the International Linear Algebra Society商品の説明をすべて表示する
The masterful thing about this book is that by adding just a little bit each chapter and connecting it back to the Four Fundamental Subspaces, orthogonality, basis, and linear independence, every new idea is very easy to grasp. The problems range from easy to medium difficulty (though these usually depend on tricks which you may/may not easily get) and help in building your abstraction muscle and thankfully shy away from the tedious computational realm most of the time. I find the way I look at matrices and systems of equations have been forever molded by this book. Perhaps most importantly, and the reason I believe this book is stellar, is that I believe this book is ideal for self-study. I did not even use his online video lectures, I simply did the examples along with him in the book and did all of the problems with solutions in the back. I say this not as a math genius, but as someone with an interest in learning some math a couple of hours per week. This book has given me the confidence to pursue a more abstract treatment of the subject, as well as a numerical linear algebra text which fleshes out the complexity of matrix decompositions and such.
Don't miss the pleasure that arises from coupling the book to the MIT OCW videos !
This type of experience has been tried on french TV 15 years ago and failed abysmally : the so-called teacher --although from the world-famous math institution, NormaleSup -- seemed to come from outer space, using an alien peer-to-alien peer jargon...
That's why such a successful effort from Gil Strang should be encouraged and developed, e.g. from what I read, there's a demand for an OCW based on Apostol's superb trilogy of Analysis (Calculus 1, 2 and Math Analysis) (see my review).
People have different ways of learning subjects such as these, so I make no claims this book will work wonders for you (as it has for me). But, if you want to learn about this wonderful and beautiful branch of mathematics, I would recommend looking Dr. Strang up online, perhaps listening to a lecture or two, and then seriously considering this book. It is always by my side.