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Wikibooks is a nice place to see an order of fields in mathematics. You can see some groups, sets of mathematics.
wikibooks.org is dividing mathematics into some level, and then those groups, sets are divided into topics, fields of these levels.
1 General Math
1.1 Basic Math
1.2 Algebra
1.2.1 Elementary
1.2.2 Intermediate
1.2.3 Linear
1.3 Geometry
1.4 Trigonometry
1.5 Discrete Mathematics
1.6 Calculus
1.7 Differential Equations
1.8 Statistics and Probability
2 Higher Math
2.1 Foundations
2.2 Analysis
2.3 Algebra
3 Applied Mathematics
4 Other Math Books
4.1 Program Specific Math
4.2 Misc.
For more information on each of these topics, please read:
http://en.wikibooks....iki/Mathematics
very helpful !
wikibooks.org is dividing mathematics into some level, and then those groups, sets are divided into topics, fields of these levels.
1 General Math
1.1 Basic Math
1.2 Algebra
1.2.1 Elementary
1.2.2 Intermediate
1.2.3 Linear
1.3 Geometry
1.4 Trigonometry
1.5 Discrete Mathematics
1.6 Calculus
1.7 Differential Equations
1.8 Statistics and Probability
2 Higher Math
2.1 Foundations
2.2 Analysis
2.3 Algebra
3 Applied Mathematics
4 Other Math Books
4.1 Program Specific Math
4.2 Misc.
For more information on each of these topics, please read:
http://en.wikibooks....iki/Mathematics
very helpful !
Alex Stef's Textbooks in Mathematics
American Mathematical Society Books Online
The Mathematical Atlas
Metamath
I surmise that experimental mathematics processes will be an indispensable component in some advanced cognitive systems, but I probably won't know any better for a while. Here's perhaps to find out for yourself if you want (just unfortunately not free like the stuff in the above):
Mathematics by Experiment: Plausible Reasoning in the 21st Century
Experimentation in Mathematics: Computational Paths to Discovery