Logic Category Theory Algebraic Topology Algebraic Geometry Differential Geometry

Geometry Topology Analysis Algebra Differential Equations Number Theory Combinatorics

Didactical Papers In Mathematics

Mathematics, in its contemporary form, is a formalized science that studies abstract structure. Prior to the 20th century algebraic revolution, mathematics was the study of space and quantity, akin to Kant's categories.

### Elementary Mathematics

https://cs.uwaterloo.ca/~alopez-o/math-faq/

http://www.urbanomic.com/document/mathematical-thought/

http://math.ucr.edu/home/baez/twf.html

http://web.archive.org/web/20150208035000/http://www.math-atlas.org/

princeton companion to mathematics

princeton companion to applied mathematics

mathematics unlimited

math unlimited

### Applied Mathematics

princeton companion to applied mathematics

https://subwiki.org/wiki/Main_Page

Introduction to Algebra: http://www.math.harvard.edu/~ctm/home/text/class/harvard/55a/08/html/home/course/course.pdf

Introduction to Analysis: http://www.math.harvard.edu/~ctm/home/text/class/harvard/55b/09/html/home/course/course.pdf

### Foundations of Mathematics

see also Logic, Philosophy of Mathematics, Analytic Philosophy

### Applications

see also Applied Mathematics

http://mathoverflow.net/questions/2556/real-world-applications-of-mathematics-by-arxiv-subject-area

### Reference Websites

http://www.encyclopediaofmath.org/

### Online Math Notes

https://www.ams.org/open-math-notes AMS Open Math Notes

http://e-booksdirectory.com/listing.php?category=3 Mathematics eBooks