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Attractions of ellipsoids. --- Gamma functions. --- Definite integrals.
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The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed in this book, first published in 2004, are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.
Definite integrals. --- Integrals. --- Calculus, Integral --- Integrals, Definite --- Integrals
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Numerical integration. --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis
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Riemann integral. --- Integral, Riemann --- Definite integrals --- Integral de Riemann --- Integrals definides
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517.37 --- 517.38 --- #SJ/LH/WMAG --- Multiple integrals --- Simple or multiple definite integrals --- 517.38 Simple or multiple definite integrals --- 517.37 Multiple integrals --- Mathematical analysis --- analyse (wiskunde)
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Mathematical analysis --- Riemann integral --- Intégrale de Riemann --- 517.1 --- Integral, Riemann --- Definite integrals --- Introduction to analysis --- Riemann integral. --- 517.1 Introduction to analysis --- Intégrale de Riemann
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Mathematical analysis --- Riemann integral --- Integrals --- Congresses. --- 51 --- -Integrals --- -Calculus, Integral --- Integral, Riemann --- Definite integrals --- Mathematics --- Congresses --- -Mathematics --- 51 Mathematics --- -51 Mathematics --- Calculus, Integral --- Riemann integral - Congresses. --- Integrals - Congresses.
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Finite element method. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Differential equations --- Numerical integration. --- Numerical solutions. --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis --- 517.91 Differential equations
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Clouds --- Photographs from space --- Meteosat (Artificial satellite) --- -Numerical integration --- Numerical integration --- Data processing. --- #TWER:WTCM --- 52 --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis --- Meteorology --- Photographs from space&delete& --- Data processing --- Astronomie. Astrofysica. Ruimteonderzoek. Geodesie --- Clouds - Photographs from space - Data processing. --- Numerical integration - Data processing.