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Excursions in Calculus: An Interplay of the Continuous and the Discrete (Softcover)

Excursions in Calculus: An Interplay of the Continuous and the Discrete (Softcover)

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VERY GOOD: This book is in very good condition, showing only slight signs of use and wear.

Product Details

This book is Number 13 in theDolciani Mathematical Expositions series from The Mathematical Association of America.

Continued from the back cover: "Such fundamental notions of discrete mathematics is 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 interaction enriches both.

"As the topics and applications will show, much of the material has never been presented at this level. The book is addressed primarily to well-trained calculus students and those who teach them, but it can serve as a supplement to a traditional calculus course for anyone, teacher and student alike.

"The problems, taken for the most part from probability, analysis and number theory, are an integral part of the text. Many point the reader toward further excursions. There are over 400 problems presented in this book."

Chapters

  1. Infinite Ascent, Infinite Descent: The Principle of Mathematical Induction
  2. Patterns, Polynomials, and Primes: Three Applications of the Binomial Theorem
  3. Fibonacci Numbers: Function and Form
  4. On the Average
  5. Approximation: From Pi to the Prime Number Theorem
  6. Infinite Sums: A Potpourri
The book ends with "Appendix: The Congruence Notation," "References," "Sources for Solutions," and "Index."
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AUTHOR: Young;Robert M.
PUBLISHER: The Mathematical Association of America
ISBN-13: 9780883853177
ISBN-10: 0883853175
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Excursions in Calculus: An Interplay of the Continuous and the Discrete (Softcover)
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