Best linear algebra textbook

Linear algebra is ostensibly the mathematics used to solve linear equations, but in practice it is the generalization of basic algebra to multi-dimensional objects.

We've researched and ranked the best linear algebra books in the world, based on recommendations from world experts, sales data, and millions of reader ratings. Learn more. Gilbert Strang 5. Eric Weinstein [Eric Weinstein recommended this book on Twitter. See more recommendations for this book Thomas S.

Best linear algebra textbook

Can anyone suggest a relatively gentle linear algebra text that integrates vector spaces and matrix algebra right from the start? I've found in the past that students react in very negative ways to the introduction of abstract vector spaces mid-way through a course. Sometimes it feels as though I've walked into class and said "Forget math. Let's learn ancient Greek instead. Hence I would really like to let students know, right from the start, what they're getting themselves into. Does anyone know of a text that might help me do this in a not-too-advanced manner? Axler's book might be too advanced. For teaching the type of course that Dan described, I'd like to recommend David Lay's "Linear algebra". Vector spaces are introduced in Chapter 4, following the chapters on linear systems, matrices, and determinants. Due to built-in redundancy, you can get there earlier, but I don't see any advantage to that. I rather like Linear Algebra Done Right, and depending on the type of students you are aiming the course for, I would recommend it over Hoffman and Kunze.

New to the Third Edition More exercises and applications Coverage of singular value decomposition and its application to Edit: One last thing.

Our goal: Find the best Linear Algebra books according to the internet not just one random person's opinion. As an Amazon Associate, we earn money from purchases made through links in this page. David Lay. Kuldeep Singh. Gilbert Strang. Sheldon Axler.

Our goal: Find the best Linear Algebra books according to the internet not just one random person's opinion. As an Amazon Associate, we earn money from purchases made through links in this page. David Lay. Kuldeep Singh. Gilbert Strang. Sheldon Axler. Ivan Savov. Kenneth M Hoffman.

Best linear algebra textbook

I would suggest starting with a basic level textbook and then put more effort on one or two intermediate level textbooks. Advanced level books may not be a good source for study. This is an erudite and discursive introduction to linear algebra, weighted heavily toward matrices and systems of linear equations. The author has an expansive view of linear algebra, and from time to time draws in some calculus, Fourier series, wavelets, and function spaces, but the approach is always very concrete. But the book also does a good job of moving up and down between various levels of abstraction, according to which level makes the problem at hand easier to comprehend, and geometrical examples and rotations play an important role in the exposition. The present book is complete in itself, but many students will appreciate the additional resources. This book is also good for self-study as there is a solution munual for it.

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The minimal and the characteristic polynomials can be defined and described without the determinant. A lighthearted, sometimes irreverent introduction to the concepts, vocabulary and strategies of first year algebra. The matrix approach is also more immediately amenable to computation too. I agree, but would recommend his video series to beginners. Axler's book might be too advanced. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate. Unfortunately, I lent my copy to a student and never got it back, so it's been some years since I last looked at the book. Armed with this information, you can personalize your prep and review where you need it the most. Two full-length practice exams The online REA Study Center gives you two full-length practice tests and the most powerful scoring analysis and diagnostic tools available today. A thorough first course in linear algebra, this two-part treatment begins with the basic theory of vector spaces and linear maps, including dimension, determinants, eigenvalues, and eigenvectors.

I hope this website will become a valuable resource for everyone learning and doing linear algebra. Here are key links:. Links to websites for each semester at MIT: web.

Yep, I found this book to be good fun. However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results. But instead of trying to "learn all of it", you should instead focus on the "bits of linear algebra that is most applicable to the problems you face". Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. David Brownstein 4. This is a second printing, corrected and slightly revised. Inside you will find: solved problems with complete solutions--the largest selection of solved problems yet published on this subject An index to help you quickly locate the types of problems you want to solve Problems like those you'll find on your exams Techniques for choosing the correct approach to problems Guidance toward the quickest, most efficient solutions If you want top grades and thorough understanding of linear algebra, this powerful study tool is the best tutor you can have! Mathematical concepts and computational problems are motivated by applications in computer science. This book is at the level of a first year mathematics undergraduate student. I work in that area : The skills needed will vary a lot. The miscellaneous exercises at the end of each chapter comprise questions from past exam papers from various universities, helping to reinforce the reader's confidence.