عنوان

Numbers and functions :

شابک

0821887955 (alk. paper)

شابک

9780821887950 (alk. paper)

شماره

dltt

عنوان اصلي

Numbers and functions :

نام عام مواد

[Book]

ساير اطلاعات عنواني

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

نام نخستين پديدآور

Victor H. Moll

محل نشرو پخش و غیره

Providence, R.I. :

نام ناشر، پخش کننده و غيره

American Mathematical Society,

تاریخ نشرو بخش و غیره

c2012

نام خاص و کميت اثر

xxiii, 504 p. :

ساير جزييات

ill. ;

ابعاد

22 cm

عنوان فروست

Student mathematical library ;

مشخصه جلد

v. 65

متن يادداشت

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

متن يادداشت

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

بدون عنوان

0

متن يادداشت

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

موضوع مستند نشده

Calculus, Textbooks

موضوع مستند نشده

Functions, Textbooks

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Moll, Victor H.,1956-

تاريخ عمليات

20140616043429.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y