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Excursions in Calculus: An Interplay of the Continuous and the Discrete
 
Excursions in Calculus
MAA Press: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-4704-5720-4
Product Code:  DOL/13.E
List Price: $60.00
MAA Member Price: $45.00
AMS Member Price: $45.00
Excursions in Calculus
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Excursions in Calculus: An Interplay of the Continuous and the Discrete
MAA Press: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-4704-5720-4
Product Code:  DOL/13.E
List Price: $60.00
MAA Member Price: $45.00
AMS Member Price: $45.00
  • Book Details
     
     
    Dolciani Mathematical Expositions
    Volume: 131992; 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.

      SIAM-DM Newsletter
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 131992; 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.

  • 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.

    SIAM-DM Newsletter
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.