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

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American Mathematical Soc., 1992年10月1日 - 429 頁
This book explores the rich and elegant interplay 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.
 

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內容

The Principle of Mathematical Induction
3
Three Applications of the Binomial Theorem
57
Function and Form
123
Chapter 4 On the Average
185
From Pi to the Prime Number Theorem
247
A Potpourri
309
The Congruence Notation
369
References
379
Sources for Solutions
397
Index
409
Back cover
420
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