Serge Lang's Linear Algebra - how is it?

In summary, the conversation discusses the merits of Serge Lang's "Linear Algebra" book for self-study, specifically in regards to explaining the representation of a linear transformation by a matrix. While some recommend it as a well-written book, others suggest alternative options such as Hoffman-Kunze or Roman's "Advanced Linear Algebra."
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Serge Lang's "Linear Algebra" - how is it?

I'm looking to buy a good linear algebra book. I've already had a course in it and would like to learn more. How is this book for self-study? If anyone has used this book for a course or otherwise, how did you like it?

Particularly: how good does Lang explain the representation of a linear transformation by a matrix? I seem to judge good linear algebra books by how well this is explained...
 
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His books in general are excellent i.e A first course in Calculus or Calculus of several veriable etc. The linear algebra one does not have solutions so not sure if that's what your looking for in terms of self study.
 
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I remember reading that book long time ago. My impression was that it was well-written. But personally I think there are many other better options since you say you already had a course in it. (Hoffman-Kunze)

If you know your linear algebra well (really well) maybe Roman's "Advanced Linear Algebra" is a good choice. Although it is overkill for most of us.
 

FAQ: Serge Lang's Linear Algebra - how is it?

What is Linear Algebra?

Linear Algebra is a branch of mathematics that deals with the study of vector spaces and linear transformations. It is used to solve systems of linear equations and to study geometric objects such as lines, planes, and hyperplanes.

Who is Serge Lang?

Serge Lang (1927-2005) was a French-American mathematician who made significant contributions to the field of mathematics, particularly in algebra and number theory. He is most known for his influential textbooks, including "Linear Algebra" which is widely used in universities around the world.

Is "Serge Lang's Linear Algebra" suitable for beginners?

While "Serge Lang's Linear Algebra" is a comprehensive and well-written textbook, it may be more suitable for students who have already taken some courses in mathematics. It assumes some knowledge of algebra and calculus, but it can still be used by beginners with some extra effort and dedication.

What topics does "Serge Lang's Linear Algebra" cover?

This textbook covers a wide range of topics in linear algebra, including vector spaces, linear transformations, matrices, determinants, eigenvalues and eigenvectors, and inner product spaces. It also includes applications of linear algebra in geometry, physics, and engineering.

What makes "Serge Lang's Linear Algebra" a good textbook?

"Serge Lang's Linear Algebra" is highly regarded by mathematicians and students alike because of its clear and concise explanations, numerous examples and exercises, and rigorous approach to the subject. It also includes historical notes and connections to other areas of mathematics, making it a comprehensive and well-rounded textbook.

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