Excursions in Calculus: An Interplay of the Continuous and the DiscreteAmerican 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. |
內容
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 |
379 | |
Sources for Solutions | 397 |
409 | |
Back cover | 420 |
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