Advanced Calculus Problem Solving Websites

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For advanced calculus problem-solving, users are seeking websites that cover topics like Fourier series, linear algebra, and differential geometry. However, it is noted that many of these subjects fall outside the scope of advanced calculus, which primarily includes concepts like partial derivatives, multiple integrals, and series convergence. The discussion highlights the difficulty in finding quality resources, as many comprehensive sites are restricted to university students. It is suggested to utilize Google to search for PDF files, which often provide valuable textbook-style content. Overall, the search for effective advanced calculus resources remains challenging.
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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.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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