[PDF.25sl] Real Analysis and Applications: Including Fourier Series and the Calculus of Variations
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Real Analysis and Applications: Including Fourier Series and the Calculus of Variations
Frank Morgan
[PDF.sv66] Real Analysis and Applications: Including Fourier Series and the Calculus of Variations
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| #1874822 in Books | American Mathematical Society | 2005-12-06 | Original language:English | PDF # 1 | 10.00 x7.25 x.75l,1.20 | File type: PDF | 208 pages | ||1 of 1 people found the following review helpful.| Outstanding!|By Dragon|Amazingly concise yet rigorous development of the theory behind calculus. Plus additional topics such as power series, Fourier series, calculus of variations, with examples in economics, Riemannian geometry, and general relativity. A true tour de force.
The material is broken up neatly into 37 short chapters, with highly relevant exercises afte
Real Analysis and Applications starts with a streamlined, but complete, approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue...
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