Is there an equivalent to the Stanford Encyclopedia of Philosophy for mathematics?

Question

If not: where do you go when you want a short, accessible overview of an area of research?

Answer 1

It sounds like The Princeton Companion to Mathematics and The Princeton Companion to Applied Mathematics are what you need.

The Princeton Companion to Mathematics

• The must-have compendium on pure mathematics
• This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world’s leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music — and much, much more.

The Princeton Companion to Applied Mathematics

• The must-have compendium on applied mathematics
• This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more.