000			02233nam a22003017a 4500
005			20220411105228.0
008			220411b |||||||| |||| 00| 0 eng d
020			_a9780521796361
028			_a;Zafaa Books & Distributors _b:313/56F 49A, Anand Nagar Inderlok Delhi 110035 _c:ZBD0020 _d:04/04/2022
082			_a515.43 BOR
100			_aBoros, George
245			_aIrresistible Integrals _b: symbolics, analysis, and experiments in the evaluation of integrals _c/ George Boros
260			_aNew York _b;Cambridge University Press, _c2004.
300			_axiv, 306p _c24cm.
365			_b3664
505			_aFactorials and binomial coefficients -- The method of partial fractions -- A simple rational function -- A review of power series -- The exponential and logarithm functions -- The trigonometric functions and pi -- A quartic integral -- The normal integral -- Euler's constant -- Eulerian integrals: the Gamma and Beta functions -- The Riemann zeta function -- Logarithmic integrals -- A master formula.
520			_aThe 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 here 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
650			_aMathematics
650			_aAnalysis
650			_aDefinite integrals.
650			_aIntegrals.
650			_aMathematics -- Calculus.
650			_aSpeciale functies (wiskunde)
650			_aGetaltheorie.
700			_aBoros, George,
700			_aMoll, Victor H
942			_cBOOK
999			_c59098 _d59098