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Introduction to Linear Algebra, Third Edition

Gilbert Strang · 2 HN comments
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Amazon Summary
This informally written text provides students with a clear introduction into the subject of linear algebra. Topics covered include matrix multiplication, row reduction, matrix inverse, orthogonality and computation. The self-teaching book is loaded with examples and graphics and provides a wide array of probing problems, accompanying solutions, and a glossary. Chapter 1: Introduction to Vectors; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations; Chapter 8: Applications; Chapter 9: Numerical Linear Algebra; Chapter 10: Complex Vectors and Matrices; Solutions to Selected Exercises; Final Exam. Matrix Factorizations. Conceptual Questions for Review. Glossary: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell.
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Hacker News Stories and Comments

All the comments and stories posted to Hacker News that reference this book.
The texts that I hate least (LA and I have a long and rocky relationship):

- Coding the Matrix, Klein https://www.amazon.com/Coding-Matrix-Algebra-Applications-Co... This has a strong emphasis on LA's utility in CS, and includes concepts outside traditional LA that enrich the narrative.

- Intro to Linear Algebra, Strang https://www.amazon.com/Introduction-Linear-Algebra-Gilbert-S... Strang approaches LA from a practical less-theoretical angle, which makes it very sensible if you're an engineer but may not be as suitable if you're a mathematician.

- Linear Algebra, A Modern Intro, Poole https://www.amazon.com/Linear-Algebra-Introduction-Available... This is a solid text that has worked out most of its bugs over the editions.

- Linear Algebra and its Applications, Lay https://www.amazon.com/Linear-Algebra-Applications-Updated-C... Like Poole, this is also a solid and long running text.

The books by Klein and Strang also benefit from free videos of those courses that are available from Coursera/BrownU and MIT OCW. Klein's is also available on the Kindle.

ComputerGuru
Thanks for taking the time to write that out. I'll check them out.
Jul 24, 2016 · x0x0 on The best linear algebra books
You'd probably like Strang. He's an mit professor who shared his linear algebra course lectures. They're excellent.

http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-...

A one-edition back version of his book _Introduction to Linear Algebra_ is available for under $30.

https://www.amazon.com/Introduction-Linear-Algebra-Gilbert-S...

doppioandante
Unfortunately that book was too lightweight on theory to be of use to me, but it's certainly a very good book. I've recently started Strang's more advanced book on computational linear algebra/numerical analysis and it's pretty good though.
znpy
I actually don't like the Strang book and his MIT course.

I watched 6 or 7 of his lessons, and to be honest, I think they're nice if you already know the subject.

I have skimmed both an italian version of his book and an english one, still didn't like it.

The nice thing about the Schlesinger book is that it builds all of the concepts basically from scratch. Euclid’s Elements are quoted too, in the introduction.

Too bad it has poor examples.

x0x0
That was not my experience -- I was utterly confused by my college linear algebra class which was taught as a bag of techniques. I couldn't figure out why anyone would care or what you would do with any of it. And I definitely didn't get the connections to the geometry that Strang goes over in Ch4 iirc.

Strang taught me linear algebra. His course -- and I read a couple other books afterwards -- is the only reason I understand it. Not only the how of the techniques, but why and what they do.

I don't suppose there's an english translation of the Schlesinger book? Google says no.

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