Prime Numbers, Friends Who Give Problems

A Trialogue with Papa Paulo

Nonfiction, Science & Nature, Mathematics, Number Theory, Recreations & Games
Cover of the book Prime Numbers, Friends Who Give Problems by Paulo Ribenboim, World Scientific Publishing Company
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Author: Paulo Ribenboim ISBN: 9789814725835
Publisher: World Scientific Publishing Company Publication: October 27, 2016
Imprint: WSPC Language: English
Author: Paulo Ribenboim
ISBN: 9789814725835
Publisher: World Scientific Publishing Company
Publication: October 27, 2016
Imprint: WSPC
Language: English

Prime Numbers, Friends Who Give Problems is written as a trialogue, with two persons who are interested in prime numbers asking the author, Papa Paulo, intelligent questions. Starting at a very elementary level, the book advances steadily, covering all important topics of the theory of prime numbers, up to the most famous problems. The humorous conversations and the inclusion of a back-story add to the uniqueness of the book. Concepts and results are also explained with great care, making the book accessible to a wide audience.

Contents:

  • What are Prime Numbers?
  • Division is Harder than Multiplication
  • Another Paulo! Is a Dialogue of Three Possible?
  • How Natural Numbers are Made Out of Primes
  • Tell Me Which is the Largest Prime?
  • Trying Hard to Find Primes
  • A Formula, A Formula, Please
  • Paulo Came with a Lasso
  • Beautiful Old Elementary Arithmetic
  • The Old Man Still Knows
  • Can You Tell Me All About Congruences?
  • Homework Checked
  • Testing for Primality and Factorization
  • Fermat Numbers are Friendly. Are They Primes?
  • This World is Perfect
  • Unfriendly Numbers from a Friend of Fermat's
  • Paying My Debt
  • Money and Primes
  • Secret Messages
  • New Numbers and Functions
  • Princeps Gauss
  • Gathering Forces
  • The After "Math" of Gauss
  • Primes After Dinner: Bad Dreams?
  • Primes in Arithmetic Progression
  • Selling Primes
  • The Great Prime Mysteries
  • Mysteries in Sequences: More But Not All
  • The End and the Beginning

Readership: College students, high school teachers and beginners interested in number theory and important facts about prime numbers.
Key Features:

  • Engaging short chapters, though written simply, are accurate and filled with substantial and up-to-date information concerning open problems
  • This book is unique as it is written to pique the reader's curiosity in wanting to see proofs of theorems mentioned in the conversations throughout the book
  • Although the book is not a textbook, it contains a large amount of important information and will be of interest to those who want to learn the most important facts about prime numbers
  • The author is a well-known figure in number theory and his previous books were great successes
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Prime Numbers, Friends Who Give Problems is written as a trialogue, with two persons who are interested in prime numbers asking the author, Papa Paulo, intelligent questions. Starting at a very elementary level, the book advances steadily, covering all important topics of the theory of prime numbers, up to the most famous problems. The humorous conversations and the inclusion of a back-story add to the uniqueness of the book. Concepts and results are also explained with great care, making the book accessible to a wide audience.

Contents:

Readership: College students, high school teachers and beginners interested in number theory and important facts about prime numbers.
Key Features:

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