عنوان

Numbers and functions :

(Number (ISBN

0821887955 (alk. paper)

(Number (ISBN

9780821887950 (alk. paper)

Number

dltt

Title Proper

Numbers and functions :

General Material Designation

[Book]

Other Title Information

from a classical-experimental mathematician's point of view /

First Statement of Responsibility

Victor H. Moll

Place of Publication, Distribution, etc.

Providence, R.I. :

Name of Publisher, Distributor, etc.

American Mathematical Society,

Date of Publication, Distribution, etc.

c2012

Specific Material Designation and Extent of Item

xxiii, 504 p. :

Other Physical Details

ill. ;

Dimensions

22 cm

Series Title

Student mathematical library ;

Volume Designation

v. 65

Text of Note

Includes bibliographical references (p. 473-491) and index

Text of Note

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

0

Text of Note

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 connections between these functions and topics in number theory and combinatorics. There is also an emphasis throughout the book on how current mathematical software can be used to discover and prove interesting properties of these functions. The book provides a transition between elementary mathematics and more advanced topics, trying to make this transition as smooth as possible. Many topics occur in the book, but they are all part of a bigger picture of mathematics. By delving into a variety of them, the reader will develop this broad view. The large collection of problems is an essential part of the book. The problems vary from routine verifications of facts used in the text to the exploration of open questions

Calculus, Textbooks

Functions, Textbooks

Class number

Book number

Moll, Victor H.,1956-

Date of Transaction

20140616043429.0

Electronic name

[Book]

Y