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, best linear algebra textbook. Sometimes it feels as though I've walked into class and said "Forget math. Let's learn ancient Greek instead.

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.

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. Lay, Steven R. Lay, Judi J. My personal pick for a first course This is a no-frills textbook for a one-semester course in linear algebra that focuses very heavily on algorithms and applications. Despite the no-frills approach, it is still a long book and it covers everything that would normally be in an introductory course, and a lot that would not be. There is much more material here than could be covered in a semester. The breadth of applications is especially impressive: although most of them use extremely simplified models of the thing being studied, they really do give you a good understanding of how linear algebra is used in practice. The applications cover many areas of science, business, and engineering, with a lot of dynamical systems examples. There are also many notes on numerical considerations.

I do enjoy the books and the material and the suggestion to pursue them in parallel is something I wish I thought about.

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.

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.

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.

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The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. FabHK on June 12, prev next [—] Not sure whether it's been said, but: there are not shortcuts. Reiji wants two things in life: a black belt in karate and Misa, the girl of his dreams. Based on your question, it seems like Axler's approach would have exactly the same problems you currently have, but going in the "opposite direction", as it were. A text written with great care and deepest insight. 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. The fast feedback loop this approach affords allows a good intuition to be built up very quickly. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. This university-level textbook contains lessons on linear algebra written in a style that is The only prerequisite is high school—level algebra. All of this occurs by way of a series of problems, each with hints and, at the back of the book, full solutions. Nathan Kurtz. Liu 4.

I would suggest starting with a basic level textbook and then put more effort on one or two intermediate level textbooks.

It's a good idea, as real analysis is the foundation. It's a must-read for both devotees of the series and any The preface states The subtitle of this book is A Geometry Toolbox; this is meant to emphasize that we approach linear algebra in a geometric and algorithmic way The first edition was named "The Geometry Toolbox for Graphics and Modeling". What's particularly useful about it relative to HN is it leans into computational applications pretty heavily. FabHK on June 12, prev next [—] Not sure whether it's been said, but: there are not shortcuts. With these books, students do not merely memorize the subject matter, they really get to understand it. It covers more than the standard material, but is very clear written with many examples and exercises many solved. How many Linear Algebra books are in this list? Take a look at the comments on his YouTube video - there are tons of people that say this is the first time ever they came across such an explanation. The final chapter proves that angles cannot be trisected by Euclidean means, using a proof that shows how modern algebraic concepts can be used to solve an ancient problem. Thank you I will check both recommendations out. And for what it's worth, the last one is perfectly in line with Arnold's philosophy, while it doesn't conform well to Bourbaki's way of thinking. Each section concludes with notes and references. Franz Lemmermeyer. Many linear algebra results obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks.