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A Friendly Introduction to Number Theory
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  • Title A Friendly Introduction to Number Theory
  • Author(s) Joseph H. Silverman
  • Publisher: Pearson; 4 edition (January 28, 2012)
  • Hardcover 432
  • eBook PDF
  • Language: English
  • ISBN-10/ASIN: 0321816196
  • ISBN-13: 978-0321816191
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Book Description

This book is an introductory text designed to entice non-math majors into learning some mathematics, while at the same time teaching them how to think mathematically. The exposition is informal, with a wealth of numerical examples that are analyzed for patterns and used to make conjectures. Only then are theorems proved, with the emphasis on methods of proof rather than on specific results.

It is designed to introduce readers to the overall themes and methodology of mathematics through the detailed study of one particular facet—number theory. Starting with nothing more than basic high school algebra, readers are gradually led to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers.

The writing is appropriate for the undergraduate audience and includes many numerical examples, which are analyzed for patterns and used to make conjectures. Emphasis is on the methods used for proving theorems rather than on specific results.

About the Authors
  • Joseph H. Silverman is a Professor of Mathematics at Brown University. He received his Sc.B. at Brown and his Ph.D. at Harvard, after which he held positions at MIT and Boston University before joining the Brown faculty in 1988.
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