TY - BOOK AU - Victor H Moll TI - Numbers and functions : : from a classical-experimental mathematician's point of view T2 - Student mathematical library, v. 65 SN - 9781470425968 U1 - 515.25 MOL PY - 2016/// CY - USA PB - :American Mathematical Society KW - Mathematics KW - Calculus KW - Functions N1 - The 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 N2 - New 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 ER -