Free Linear Algebra text, from Jim Hefferon (original) (raw)
Linear Algebra by Jim Hefferon is a text for a first undergraduate course. It is Free. Use it as the main book, as a supplement, or for independent study.
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Text highlights
- Standard coverage Linear systems and Gauss's method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues.
- Developmental approach The book proves all of the results but does not start by assuming that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and many exercises. The goal is to raise each student's level of mathematical maturity.
- Extensive exercise sets Each subsection has a wide range of exercises, from routine verifications to a few challenges. Thebook of solutions gives the answer to every one, completely worked. And, clicking on a problem takes you to its answer while clicking on the answer takes you back to the problem.
- Popular Used in hundreds of classes at many schools, as well as by thousands of people for independent study.
- Applications Each chapter finishes with four or five short supplemental topics for reading or projects, or for small group work.
- Extras There arebeamer slides for classroom presentations, alab manual usingSage, and videos. For more, see the page for instructors.
- Prerequisite One semester of calculus.
- Free Everything is Freely available, including theLaTeX source. You can also buy apaper copy of the book.
- Reviews Some from:the Mathematical Association of America,the American Institute of Mathematics,the Open Textbook Library,The Assayer, a longstanding site about free texts.
- Award winning Recipient of the 2020 Solow Award from the Mathematical Association of America, for “impact on undergraduate education in mathematics.”