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Linear Algebra (Undergraduate Texts in Mathematics)
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Binding: Hardcover
Dewey Decimal Number: 512.5
EAN: 9780387964126
Edition: 3rd
ISBN: 0387964126
Label: Springer
Manufacturer: Springer
Number Of Items: 1
Number Of Pages: 296
Publication Date: March 09, 2004
Publisher: Springer
Studio: Springer
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Editorial Review:
"Linear Algebra" is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants and linear maps. However the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
Customer Reviews
Average Rating: 
Rating: - Difficult for undergrads
I think the term "undergraduate" is a bit misleading. I think you would have had to have at least one course in linear algebra and abtract algebra to truly appreciate this book. I read it over a summer (as a master's student who lacked any coursework in linear algebra) - kind of as an independent project, and I found it to be very easy to understand. Then again, I had just taken abstract algebra. There were a couple parts that I found challenging though. I love it when he says that the proof ... Read More
Rating:  - Solid piece of work
Like in other math books by Lang, the theory of Linear Algebra is presented in an axiomatic way, the best way of presenting since The Elements of Euclid. The way in which the theory is presented adds to the beauty. I have read this book as a refresher for Linear Algebra, about 20 years after the completion of a master's degree in an exact science. For me the level was perfect. If you have no experience with Linear Algebra beyond high school, you must first read "Introduction to Linear Algebra" by ... Read More
Rating: - Serge Lang is a Very Gifted Expositor
Serge Lang is a very gifted expositor. I've read the reviews saying that his books are notorious for their "dryness". At least as concerns this book - that couldn't be less true.
This book is not only methodical and well written, it is a joy. Every section is a well rounded presentation: Lang clearly and effectively introduces new concepts and patiently develops even the most basic results. But Lang achieves much more: his illuminating examples are stepping stones to a more abstract ... Read More
Rating: - This Book Is Almost Excellent
I had this book as the text for my second course in Abstract Algebra, having already taken some elementary Linear Algebra course. I might argue that this is not the best subject for such a course, yet this is very irrelevant here.
All through the class I struggled to understand concepts. I did not. That was not due to the book since I did not even bother opening it. After finishing the course, I realized that the material of this book is of the most importance to anyone planning on continuing ... Read More
Rating:  - An excellent example of a worthless, useless text.
Instead of wasting money on a useless book written by Serge Lang, I would strongly recommend a Linear Algebra book by Howard Anton and Chris Rorres. Every Serge Lang book I have read lacked examples, or if there were examples, they would be too general and not helpful in learning the material you need to know. His books seem to be more based on theories which to me are not helpful for one to learn calculus. Aside from the way it is written, compared to most other Linear Algebra books, it is too ... Read More
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