- #1

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## Summary:

- I mean what is the map of mathematics? for example, what do i need to know for understanding topology? or what do i need know for understanding partial differential equations?

thanks in advance

- I
- Thread starter Anti Hydrogen
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- #1

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## Summary:

- I mean what is the map of mathematics? for example, what do i need to know for understanding topology? or what do i need know for understanding partial differential equations?

thanks in advance

- #2

fresh_42

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Here is your mapSummary:I mean what is the map of mathematics? for example, what do i need to know for understanding topology? or what do i need know for understanding partial differential equations?

thanks in advance

but I doubt that this is of much help. However, your question is so broad that it is impossible to answer in such a generality, except that mathematics usually starts with linear algebra and calculus. These are important for anything else, esp. for differential equations.

- #3

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i have already seen that map but thanks anywayHere is your map

View attachment 249703

but I doubt that this is of much help. However, your question is so broad that it is impossible to answer in such a generality, except that mathematics usually starts with linear algebra and calculus. These are important for anything else, esp. for differential equations.

- #4

Math_QED

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You need nothing for topology, except mathematical maturity (i.e. knowing how to write proofs and being comfortable working with sets).

For partial differential equations (from a pure mathematician's point of view), you certainly need real analysis and further down the road some complex analysis and measure theoretic functional analysis.

For partial differential equations (from a pure mathematician's point of view), you certainly need real analysis and further down the road some complex analysis and measure theoretic functional analysis.

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mathwonk

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https://www.amazon.com/dp/0486401790/?tag=pfamazon01-20&tag=pfamazon01-20

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Then there's nothing much to it. Take relevant definitions and try to reproduce proofs. Start with simple ideas such as introductory linear algebra or naive set theory. Topology can wait.

Don't try to fly too high too early. Get comfortable with walking, first.

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WWGD

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Look up Dave Rusin's Mathematical Atlas. He connects things pretty well, to my taste. http://www.math-atlas.org

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WWGD

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I think graffiti is against PF rules ;).Here is your map

View attachment 249703

but I doubt that this is of much help. However, your question is so broad that it is impossible to answer in such a generality, except that mathematics usually starts with linear algebra and calculus. These are important for anything else, esp. for differential equations.

- #9

mathwonk

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