Presents the fundamentals of linear algebra in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. This substantial revision includes greater focus on relationships between concepts, smoother transition to abstraction, early exposure to linear transformations and eigenvalues, more emphasize on visualization, new material on least squares and QR -decomposition and a greater number of proofs. Exercise sets begin with routine drill problems, progress to problems with more substance and conclude with theoretical problems.
Welp. The title says it all. But in all honesty, I learned this topic first from this book and Khan Academy with 3Blue1Brown. Good enough. But hey...
That is my take.
Great textbook
Published by Thriftbooks.com User , 22 years ago
I used Anton in my linear algebra class a few years back and I have referred to it often since. Anton's approach is to introduce the notation and basic tools, i.e. vector and matrix arithmetic, within the intuitive geometric settings of the Euclidean plane and space. Once the basic concepts of Euclidean vector spaces have been mastered, Anton moves into abstract vector spaces, linear transformations, and eigenvectors. One chapter is spent on complex matrices, and another chapter deals with numerical issues and least-squares applications. The only topic which is noticably missing is the singular value decomposition, but other than that, Anton is a remarkably complete text. The definitions and theorems are clearly presented, along with the motivating intuitions. The exercises at the end of the chapter sections are a nice balance between computational and theoretical problems. Overall I highly recommend Anton as a first linear algebra text.
Great Linear Algebra text
Published by Thriftbooks.com User , 23 years ago
This is the best introduction on linear algebra. The book goes form the arithmetic of matrices to complex vector spaces. It covers every thing at a basic level and it doesn't leave out anything important. What I like most about the book, is that it's examples are both geometric and algebraic, so it appeals to many people with different thinking styles. The book really is an intro to modern math, because it has very UNDERSTANDIBLE PROOFS, and you lean information that can be later applied to more advanced versions of algebra. You don't really need and previous knowledge to understand this text. For those who can't wait after calculus 3 to learn linear algebra, I recommend this book.
An excellent book for beginners in linear algebra
Published by Thriftbooks.com User , 24 years ago
This is where it all began for me: my first course in abstract algebra. I thoroughly enjoyed reading this book, and being challenged by its exercises. Learning that a vector space could be a set of anything satisfying certain algebraic properties opened my mind to modern mathematics. 15 years later, I still sometimes reference this book.
Great Intro To Linear Algebra
Published by Thriftbooks.com User , 26 years ago
This is an excellent introductory text to Linear Algebra. The book is clear and abstract symbols are not used as heavily as in other books, making it simpler to understand. The book is too large to cover in one semester, but there is an applications section in the back that will allow the student to put his or her new-found knowledge to the test with topics such as cryptography, markov chains, computer imaging and fractals. Highly recommended.
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