ENGLISH

Excursions in Calculus: An Interplay of the Continuous and the Discrete

By Robert M. Young

Book information

Publisher
The Mathematical Association of America
Year
1992
ISBN
0883853175, 9780883853177
LCC
QA303 .Y724 1992
Open Library ID
OL1572219M
Language
english
Format
DJVU
Filesize
8 MB (8644545 bytes)
Series
Dolciani Mathematical Expositions
Pages
443\443
Library
mexmat
Time added
2009-07-20 03:45:11

Description

he purpose of this book is to explore the rich and elegant interplay that exists between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.As the topics and applications will show, much of the material has never been presented in this level. The book is addressed primarily to well-trained calculus students and those who teach them, but it can also serve as a supplement in a traditional calculus course for anyone who wants to see more. The problems, taken for the most part from probability, analysis, and number theory, are an integral part of the text. There are over 400 problems presented in this book.

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