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www.jeremykun.com | ||
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mathscholar.org
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| | | | | [AI summary] The text presents a detailed, self-contained proof of the Fundamental Theorem of Calculus (FTC) using basic principles of calculus and real analysis. It breaks the proof into two parts: Part 1 establishes that the integral of a continuous function defines a differentiable function whose derivative is the original function, and Part 2 shows that the definite integral of a continuous function can be computed as the difference of an antiderivative evaluated at the endpoints. The proof relies on lemmas about continuity, differentiability, and the properties of integrals, avoiding advanced techniques. The text is structured to provide a clear, step-by-step derivation of the FTC for readers familiar with calculus fundamentals. | |
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0fps.net
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| | | | | In this post, I am going to go into a bit of a mathematical digression about the fundamentals of solid modeling. In a nutshell, solid modeling is the study of digital representations of physical shapes. This was a hot topic in the early days of computing and computer aided design, and led to some pretty... | |
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grossack.site
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| | | | | Chris Grossack's math blog and professional website. | |
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qchu.wordpress.com
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| | | As an undergraduate the proofs I saw of the Sylow theorems seemed very complicated and I was totally unable to remember them. The goal of this post is to explain proofs of the Sylow theorems which I am actually able to remember, several of which use our old friend The $latex p$-group fixed point theorem... | ||
