Advanced Calculus Problem Solving Websites

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Discussion Overview

The discussion centers around finding websites that provide problems and resources for advanced calculus and related mathematical topics, including Fourier series, linear algebra, abstract algebra, differential geometry, finite element analysis, complex variables, and the binomial expansion.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • One participant seeks recommendations for websites that offer problems in advanced calculus and related fields.
  • Another participant mentions the binomial expansion as a topic of interest.
  • A different participant argues that many of the topics listed are not typically included in advanced calculus, suggesting that advanced calculus primarily covers partial derivatives, multiple integrals, and series convergence, among other topics.
  • One participant notes the difficulty in finding quality resources for advanced calculus, indicating that many useful sites are restricted to university students and suggests searching for PDF files online as an alternative.

Areas of Agreement / Disagreement

Participants express differing views on what constitutes advanced calculus, with some asserting that the topics listed by the original poster extend beyond that scope. There is no consensus on the availability of resources for these topics.

Contextual Notes

The discussion reflects varying definitions of advanced calculus and the challenges in accessing quality educational resources, particularly for specific mathematical topics.

hawaiidude
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does anyone know any"good" websites where i can find and solve problems for advanced calculus...such as Fourier series, linear algebra, absract algebra, differential geometry, finite element analysis and complex variables, etc?
 
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and the binomial expansion thing
 
Hate to tell you this, but most of those topics aren't part of advanced calculus. That contains partial derivatives and multiple inegrals, the Jacobian, the implicit function theorem and maybe a deeper look at series. You might encounter the binomial expansion there but you'ld be more likely to spend time with Taylor series and different kinds of convergence. Likewise integrals, and uniform convergence. when I did it long ago it was full of epsilon and delta proofs (Weierstrasse's theory of continuity).

Several of the things you mentioned, like linear algebra, are subjects in their own right.
 
Unfortunately I do not know of any sites that explain advanced calculus very well. Most sites that do are university sites which are impossible to view unless you are a student. However, use google to seach for PDF files. These are usually very handy and often come in textbook format.
 

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