Please use comments to this page to let us know about new open source textbooks and to offer your reviews of existing ones. Disclaimer: **publication of a link to a textbook does not mean its endorsement by the London Mathematical Society**.

**Abstract Algebra**

**Analysis**

- William F. Trench,
*Introduction to Real Analysis.* - Elias Zakon
*, Mathematical Analysis I***.**

**Calculus**

- Matt Boelkins,
*Active Calculus*. [Only Chapters 1-4, X + 252 pp. are available at the date of posting, 14 August 2012]. The Author’s blog post about the book. A welcome post by Robert Talbert. - Gilbert Strang,
*Calculus.*

**Elementary Mathematics
**

- N. B. Vasilyev and V. L.
**Gutenmacher**,*Straight Lines and Curves*. Moscow, Mir Publishers, 1990. - Richard Hammack,
*Book of Proof*. [This book is an introduction to the standard methods of proving mathematical theorems. It has been approved by the American Institute of Mathematics' Open Textbook Initiative. Also see the Mathematical Association of America Math DL review, and the Amazon reviews.]

**Linear Algebra**

- Rob Beezer,
*A First Course in Linear Algebra.* - Jim Hefferon,
*Linear Algebra*. The Author’s webpage contains links to Answers to Exercises and beamer slides. - Kenneth Kuttler
**,***Elementary Linear Algebra***.** - Kenneth Kuttler,
*Linear Algebra: Theory and Applications*

**Number Theory**

- Wissam Raji,
*An Introductory Course in Elementary Number Theory.* - William Stein,
*Elementary Number Theory: Primes, Congruences, and Secrets*.

**Topology**

**Useful links**