Excursions in Calculus by Robert M Young

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Summary

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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Excursions in Calculus 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.
'If I were stranded on a desert island with my junior and senior math majors and could give them only one book to read, this is the one I would chooseIn fact, this year we will be doing precisely that (requiring the book, that is) for all of our junior math majors.' SIAM-DM Newsletter
Young, Robert M.: - Robert Young was born in New York City in 1944. He received his B.A. from Colby College in 1965 and his Ph.D. from the University of Michigan in 1971. He currently teaches at Oberlin College where he holds the James F. Clark Chair in Mathematics. In addition to his work in nonharmonic Fourier series, he is the author of Excursions in Calculus: An Interplay of the Continuous and the Discrete.
SKU Unavailable
ISBN 13 9780883853177
ISBN 10 0883853175
Title Excursions in Calculus
Author Robert M Young
Series Dolciani Mathematical Expositions
Condition Unavailable
Binding Type Paperback
Publisher The Mathematical Association Of America
Year published 1996-09-05
Number of pages 432
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.