- #1

- 25

- 0

Actually I want to pose this hypothetical question:

If you wanted to self-learn most of the higher level mathematics most efficiently, starting with a calculus level knowledge, how would you go about doing it?

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- Thread starter Fletcher
- Start date

- #1

- 25

- 0

Actually I want to pose this hypothetical question:

If you wanted to self-learn most of the higher level mathematics most efficiently, starting with a calculus level knowledge, how would you go about doing it?

- #2

- 1,250

- 2

* 02. Algebra

* 03. Number Theory

* 04. Algebraic and Complex Geometry

* 05. Geometry

* 06. Topology

* 07. Lie Groups and Lie Algebras

* 08. Analysis

* 09. Operator Algebras and Functional Analysis

* 10. Ordinary Differential Equations and Dynamical Systems

* 11. Partial Differential Equations

* 12. Mathematical Physics

* 13. Probability and Statistics

* 14. Combinatorics

* 15. Mathematical Aspects of Computer Science

* 16. Numerical Analysis and Scientific Computing

* 17. Control Theory and Optimization

* 18. Applications of Mathematics in the Sciences

* 19. Mathematics Education and Popularization of Mathematics

* 20. History of Mathematics

The best path of study depends on your goals with Math. If you want to be a Mathematician, you can't go wrong with Abstract Algebra and Analysis (advanced calculus).

- #3

- 3,077

- 4

Crosson,

Is there a book, understandable to a Mathematics B.S., which overviews the topics you list?

Is there a book, understandable to a Mathematics B.S., which overviews the topics you list?

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