000			01530nam a22002177a 4500
005			20181113114556.0
008			181113b xxu||||| |||| 00| 0 eng d
020			_a9781470425968
082			_a515.25 MOL
100			_aVictor H Moll
245			_aNumbers and functions _b: from a classical-experimental mathematician's point of view _c/ Victor H Moll
260			_aUSA _b:American Mathematical Society _c: 2016
300			_axxiii, 504 pages _b: illustrations . _c; 22 cm
490			_aStudent mathematical library, v. 65.
505			_aThe number systems -- Factorials and binomial coefficients -- The Fibonacci numbers -- Polynomials -- Binomial sums -- Catalan numbers -- The Stirling numbers of the second kind -- Rational functions -- Wallis' formula -- Farey fractions -- The exponential function -- Trigonometric functions -- Bernoulli polynomials -- A sample of classical polynomials: Legendre, Chebyshev, and Hermite -- Landen transformations -- Three special functions
520			_aNew mathematics often comes about by probing what is already known. Mathematicians will change the parameters in a familiar calculation or explore the essential ingredients of a classic proof. Almost magically, new ideas emerge from this process. This book examines elementary functions, such as those encountered in calculus courses, from this point of view of experimental mathematics. The focus is on exploring the
650			_aMathematics
655			_aCalculus.
655			_aFunctions.
942			_cMDL
999			_c50372 _d50372