How can I teach myself more advanced math?

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  • Thread starter Thread starter RaNKiN
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SUMMARY

The discussion centers on self-teaching advanced mathematics, with specific recommendations for resources. Users suggest starting with "Calculus" by James Stewart and "Linear Algebra" by David C. Lay as foundational texts. Mastery of these subjects enables progression to more complex areas such as Real Analysis and abstract algebra. The emphasis is on structured learning through established textbooks to build a solid mathematical foundation.

PREREQUISITES
  • Understanding of basic algebra and functions
  • Familiarity with high school-level mathematics
  • Access to "Calculus" by James Stewart
  • Access to "Linear Algebra" by David C. Lay
NEXT STEPS
  • Study "Calculus" by James Stewart to grasp fundamental concepts
  • Explore "Linear Algebra" by David C. Lay for matrix theory and vector spaces
  • Research Real Analysis to understand limits, continuity, and proofs
  • Investigate abstract algebra for group theory and ring theory
USEFUL FOR

Students, self-learners, and anyone interested in advancing their mathematical knowledge, particularly those transitioning from high school to college-level mathematics.

RaNKiN
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Hi everyone. I'm new posting to these forums, although I have been lurking for the past couple of months.

My question is simple: How can I teach myself math?

I am 16, and love learning new concepts and ideas regarding math. What is the best way to start out, and are there any good websites which I can work through?

Thanks in advance.
 
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I would start by grabbing a college calculus book and linear algebra book.

Calculus by Stewart is a good start for calculus
Linear Algebra by David C. Lay is a good start for Linear Algebra

If you can understand these books then you can start to move onto more advanced topics like Real Analysis and more general algebras.
 

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