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

by Robert M. Young

The 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. 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.

Genres: Mathematics

429 pages, Paperback

First published October 1, 1992

Reviews

[Nick · Rating 4 out of 5]

Nice book. One of it's best features is the huge list of problems: more than 400. This makes it a book you could probably never feel like you have completely finished. Which is nice.

There are so many interesting things in this book, that even though I feel I've read lots of math, I was still delighted to find more here.