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
This book is clearly closed bound to the online course (which I watched briefly). It is not a stand alone book on linear algebra by itself. The book constantly jumps into new concepts without explaining the ideas and bases behind them. If I didn't know that it is the text book for the online course, this book feels more like a note taken by a student during a linear algebra course. I found myself constantly guessing what the the texts in the book are referring to.
I don't want to spend time watching the online videos, that's too time consuming due to the limited time I have. Although I'm able to make progress on this book ( still reading it), the process has been boring. The aspect of finishing this book is not promising. I'm considering finding another linear algebra book.
I think the proper title for this book probably should be something like "Linear Algebra for MIT online course", or "Notes and exercises for Linear Algebra".
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.