Linear Algebra
by Jim Hefferon · first published 2008
58% recommend42% neutral
"The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Each chapter has three or four discussions of additional topics and applications. These are suitable for independent study or small group work."--Page 4 of cover
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…of this bunch. Epp does proofs and discrete math, and a little bit of algorithms. The usual favorite for algorithms is Cormen et al.'s Introduction to algorithms, although I don't know it well. For linear algebra, Axler (as someone else mentioned) is a very nice book. I really like Knop also (more beginner-friendly). Hefferon's Linear Algebra looks very nice, and is (legally!) free online. If you prefer a more…
on “Any recommended crash course on Maths?” ↗…the upper levels. My advice would be to get a book on any topic which interests you, read through it, and do a significant number of the exercises. You might try Epp's Discrete Mathematics, Hefferon's Linear Algebra, Colley's Vector Calculus, Dudley's Elementary Number Theory, Spivak or Apostol's Calculus (these go far beyond ordinary freshman calculus), Pinter's A Book of Abstract Algebra, among many others. Some…
on “Ask HN: Is there a website specialized in mathematics courses?” ↗…the book, it seems to concentrate on R^n, and not pay much attention to abstract vector spaces. Probably a good choice for the intended audience (mostly engineers, likely). You might prefer Hefferon's Linear Algebra, also free and open-source, and which spends more time on this. http://joshua.smcvt.edu/linearalgebra/ Both books look truly excellent.
on “Interactive Linear Algebra” ↗…more intuitive and easy. It's not really a good foundation for further study, you need something that doesn't cut corners for that, but it's fantastic for what it is! My favorite foundational book is Linear Algebra by Jim Hefferon: https://hefferon.net/linearalgebra/ It is free, and I've seen the author on HN occasionally. It's foundational in the sense that it builds up the subject brick by brick, assuming the…
on “Math books like Infite Powers or Calculus Made Easy but for other topics?” ↗Linear Algebra by Jim Hefferon can be read online for free.
on “Linear Algebra Done Right – Sheldon Axler” ↗I have recently been using the Linear Algebra book by Jim Hefferon to study the subject. This is because I'm taking a linear algebra course in college, I am visually impaired, and the books I get from college are literally unusable. As a person…
on “In Praise of Open Source Textbooks” ↗I used Jim Hefferon's Linear Algebra to get back into the subject a few years ago. Great balance of rigorous and intuitive. Free book available here http://joshua.smcvt.edu/linalg.html/
on “Surprises from numerical linear algebra (2010)” ↗Jim Hefferon, who is also a HN member, has a great free Linear Algebra textbook. People all have their own preferences but I actually prefer his to Strang's. https://hefferon.net/linearalgebra/
on “Introduction to Linear Algebra for Applied Machine Learning with Python” ↗I found that even Introduction to Statistical Learning made a few too many assumptions when I tried to work through it. I recently finished Jim Hefferon's Linear Algebra [1] and now I'm working through Introduction to Applications of Linear Algebra: Vectors, Matrices, and Least Squares [2] (along with a python companion [3]). The two texts have overlaps but I've found…
on “The Elements of Statistical Learning [pdf]” ↗I found the book "Linear Algebra" and accompanying lecture recordings by Jim Hefferon very approachable and solid. It's free, including exercises and an (also free) solutions book.
on “The Little Book of Linear Algebra” ↗…by Yuval Noah Harari - Thinking in Systems: A Primer by Tia T. Farmer - Leonardo da Vinci by Walter Isaacson - Never Split the Difference by Chris Voss - Extreme Ownership by Jocko Willink - Linear Algebra by Jim Hefferon - 12 Rules for Life: An Antidote to Chaos by Jordan B. Peterson - Prisoners of Geography by Tim Marshall - Skin in the Game by Nassim Nicholas Taleb - Atomic Habits by James Clear Most…
on “Analyzing Hacker News book suggestions in Python” ↗My Linear Algebra https://hefferon.net/linearalgebra/index.html comes with lots of exercises in each section, from easy to (a few) pretty hard. There is a book of worked solutions that covers all exercises. It is free…
on “Ask HN: What are the best general math workbooks?” ↗I just noticed under the "Download Linear Algebra" section on http://joshua.smcvt.edu/linearalgebra/ , he gives a link to a paperback version of Linear Algebra on Amazon (ISBN-13: 978-0989897563).
on “Too Much Calculus – Gilbert Strang (2001) [pdf]” ↗> the same Jim Hefferon Yes. Linear Algebra with answers to exercises and lab manual, and an Introduction to Proofs that a person can find referenced on that page. > Would you consider spending a lot of time and effort on a book (.pdf) in your…
on “Academics are being hoodwinked into writing books nobody can buy” ↗E.g. of an open source book: https://hefferon.net/linearalgebra/index.html "Linear Algebra" by Jim Hefferon.
on “Ask HN: Which are the best open source books?” ↗