eBook ISBN:  9781470457204 
Product Code:  DOL/13.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 
eBook ISBN:  9781470457204 
Product Code:  DOL/13.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 

Book DetailsDolciani Mathematical ExpositionsVolume: 13; 1992; 429 pp
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.

Table of Contents

Articles

Infinite Ascent, Infinite Descent: The Principle of Mathematical Induction

Patterns, Polynomials, and Primes: Three Applications of the Binomial Theorem

Fibonacci Numbers: Function and Form

On the Average

Approximation: From Pi to the Prime Number Theorem

Infinite Sums: A Potpourri


Reviews

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 choose. In fact, this year we will be doing precisely that (requiring the book, that is) for all of our junior math majors.
SIAMDM Newsletter


RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Reviews
 Requests
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.

Articles

Infinite Ascent, Infinite Descent: The Principle of Mathematical Induction

Patterns, Polynomials, and Primes: Three Applications of the Binomial Theorem

Fibonacci Numbers: Function and Form

On the Average

Approximation: From Pi to the Prime Number Theorem

Infinite Sums: A Potpourri

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 choose. In fact, this year we will be doing precisely that (requiring the book, that is) for all of our junior math majors.
SIAMDM Newsletter