Best linear algebra textbook

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.

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.

Best linear algebra textbook

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. Kuhn and Ian Hacking 5. Mark Zuckerberg It's a history of science book that explores the question of whether science and technology make consistent forward progress or whether progress comes in bursts related to other social forces. I tend to think that science is a consistent force for good in the world. I think we'd all be better off if we invested more in science and acted on the results of research. I'm excited to explore this Kuhn introduced the term "paradigm shift" to describe the changeover from Ptolemaic to Copernican astronomy.

Since multivariate objects are of great importance in data science, linear algebra is an essential tool for any data scientist.

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.

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. Georgi E. David Poole.

Best linear algebra textbook

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. My friend Pavel Grinfeld at Drexel has sent me a collection of interesting problems -- mostly elementary but each one with a small twist. These are part of his larger teaching site called LEM. This video standard describes a system for encoding and decoding a "Codec" that engineers have defined for applications like High Definition TV. It is not expected that you will know the meaning of every word -- your book author does not know either. The point is to see an important example of a "standard" that is created by an industry after years of development so all companies will know what coding system their products must be consistent with. The words "motion compensation" refer to a way to estimate each video image from the previous one. The simplest would be to guess that successive video images are the same.

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Opening with the theory of linear algebraic equations and basic elements of matrix theory, this book includes topics not usually covered: exterior algebras, non-Euclidean geometry, theory of quadrics and more. That's why we're here, right? There's many good recommendations for books here. Do not skip the quotient space problems! A later generation of books like the original Anton are also pure math books but start by overemphasizing unrealistic manipulations with small matrices and vectors; then there is an abrupt shift to abstraction. It introduces the matrix determinant early and uses it as the prototypical example of a group homomorphism and the book uses matrix groups liberally. Graphics Programmers, is a completely different feel from learning linear algebra for an Electrical Engineer Signals-and-systems engineer. Otto Bretscher 4. Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The main drawback I saw was that I had to introduce more computational problems for example, so that the students could explicitly compute changes-of-basis and such. The author has 15 years of tutoring experience, a B.

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.

The book is intended to be used either as a self-study guide, a textbook for a course in advanced linear algebra, or as a reference book. From this one might deduce that the existing books contain all that one needs to know in the best possible form and that any new book would just repeat material in the old ones. I'll take a look. You feel confident in applying what has been learned to any problem requiring knowledge of Linear Algebra. I used this book when I taught a 2nd linear algebra course and that book is dry as dust. Linearity itself comes to mind, and maybe it just reflects my physicist's education, but it's hard for me to imagine having a working understanding of Fourier transforms without getting the idea of changing bases. Probably you should try to learn more applied material in parallel and let both threads merge in the future. 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. Well, for positive integers m and n, we could have m equations in n unknowns. Personally I understood them better with his book.