03183nam 2200577Ia 450 991081170030332120200520144314.01-107-14351-91-280-54103-297866105410340-511-21507-X0-511-21686-60-511-21149-X0-511-31555-40-511-61704-60-511-21326-39780521796361(EBL)266517(CKB)1000000000353958(UkCbUP)CR9780511617041(MiAaPQ)EBC266517(EXLCZ)99100000000035395820031208d2004 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierIrresistible integrals symbolics, analysis, and experiments in the evaluation of integrals /George Boros, Victor H. MollCambridge, UK ;New York Cambridge University Press20041 online resource (xiv, 306 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-79636-9 0-521-79186-3 Includes bibliographical references (p. 276-297) and index.Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Factorials and Binomial Coefficients; 2 The Method of Partial Fractions; 3 A Simple Rational Function; 4 A Review of Power Series; 5 The Exponential and Logarithm Functions; 6 The Trigonometric Functions and Pi; 7 A Quartic Integral; 8 The Normal Integral; 9 Euler's Constant; 10 Eulerian Integrals: The Gamma and Beta Functions; 11 The Riemann Zeta Function; 12 Logarithmic Integrals; 13 A Master Formula; Appendix: The Revolutionary WZ Method; Bibliography; IndexThe 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 integralsIntegralsDefinite integrals.Integrals.515/.43Boros George1947-1652047Moll Victor313538MiAaPQMiAaPQMiAaPQBOOK9910811700303321Irresistible integrals4203029UNINA