Best linear algebra textbook
Hello all, the title really says it all. Hoping to find a linear algebra book that is friendly for visual learners. EDIT: thank you all for the great responses! I enjoyed Linear Algebra Done Wrong [0], to be used in combination with a more traditional textbook, best linear algebra textbook, like Linear Algebra and its Applications [1] which has some good diagrams.
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
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. Since you seemed worried that Axler might be too advanced, my feeling is that Hoffman and Kunze will definitely be especially if these are students who have never been taught proof-based mathematics. Of course, the big caveat here being that Axler avoids determinants at all costs, and this will put more on you to introduce them comprehensively. I've never looked at it, but another one worth considering might be Halmos's Finite Dimensional Vector Spaces.
Linear Algebra: Step by Step by Kuldeep Singh If you desire to learn something useful and general about Linear Algebra, this book is where you should must begin.
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. Since multivariate objects are of great importance in data science, linear algebra is an essential tool for any data scientist. Many find linear algebra a dull subject, but proficiency is required for more advanced topics. So, even if you can't find beauty in linear algebra, know that the effort you put into mastering it will be rewarded in other data science disciplines. If you have never studied linear algebra before, this is the book for you.
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.
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.
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The Structure of Scientific Revolutions is that kind of book. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. I'm curious about a good pure math book myself, to start doing proofs - calc or algebra - just a good book for self study. As you point out, the utility of of 3b1b is in line with this point. This book is also good for self-study and has brief solutions for exercises. Hence I would really like to let students know, right from the start, what they're getting themselves into. Indeed, linear algebra offers a powerful toolbox for modelling the real world. I find Apostol's approach quite refreshing because it greatly illuminates the matrix operations involved in solving linear systems Gauss-Jordan elimination, etc. Hans Schneider and George Phillip Barker 4. Matching learning style to instructional method: Effects on comprehension. Many people think there is only one "right" way to teach geometry.
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.
Learn more. Coaches will learn how to develop an instructional plan for each practice and for the entire season. I have not heard great things about Axler. Students love Schaum's Solved Problem Guides because they produce results. However, it is not a Programmed Instruction book! Let's learn ancient Greek instead. Linear Algebra Sterling K. Please only read these solutions after thinking about the problems carefully. And the components could be elements of some goofy finite field from abstract algebra, but that also is a bit advanced. If you have already studied linear algebra and you want to apply it to machine learning then this might be an ideal book.
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