Mathematics

Mathematical Logic Category Theory Algebraic Geometry Differential Geometry

Discrete Mathematics


see also Philosophy of Mathematics

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

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

http://www.mathpages.com/

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

http://bactra.org/notebooks/

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

Reflections on Mathematics

mathematics as dialectic between the sensible and the intelligible, gluing together planes of immanence

Foundations of Mathematics

see also Logic, Philosophy of Mathematics, Analytic Philosophy

Category Theory

Set Theory

Logic

Algebra

Analysis

Topology

Geometry

Differential Equations

Mathematical Physics

Applied Mathematics

Probability and Statistics

Real World Applications of Mathematics

see also Applied Mathematics

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

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