

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 |


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 |
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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.
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Table of Contents
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Articles
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Infinite Ascent, Infinite Descent: The Principle of Mathematical Induction
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Patterns, Polynomials, and Primes: Three Applications of the Binomial Theorem
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Fibonacci Numbers: Function and Form
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On the Average
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Approximation: From Pi to the Prime Number Theorem
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Infinite Sums: A Potpourri
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Reviews
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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
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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.
SIAM-DM Newsletter