Number Theory: A Historical Approach by John J. Watkins PDF

By John J. Watkins

The common numbers were studied for hundreds of thousands of years, but so much undergraduate textbooks current quantity conception as a protracted record of theorems with little point out of ways those effects have been came upon or why they're very important. This booklet emphasizes the historic improvement of quantity idea, describing equipment, theorems, and proofs within the contexts within which they originated, and delivering an available creation to 1 of the main interesting topics in mathematics.

Written in an off-the-cuff kind by means of an award-winning instructor, Number Theory covers major numbers, Fibonacci numbers, and a bunch of alternative crucial issues in quantity conception, whereas additionally telling the tales of the good mathematicians in the back of those advancements, together with Euclid, Carl Friedrich Gauss, and Sophie Germain. This different introductory textbook positive factors an in depth set of difficulties that permit scholars to actively strengthen and expand their knowing of the cloth, in addition to totally labored ideas for lots of of those difficulties. it is also necessary tricks for while scholars are uncertain of ways to start on a given problem.

  • Uses a different old method of instructing quantity theory
  • Features various difficulties, important tricks, and entirely labored solutions
  • Discusses enjoyable themes like Pythagorean tuning in track, Sudoku puzzles, and mathematics progressions of primes
  • Includes an creation to Sage, an easy-to-learn but strong open-source arithmetic software program package deal
  • Ideal for undergraduate arithmetic majors in addition to non-math majors
  • Digital options handbook (available in simple terms to professors)

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Number Theory: A Historical Approach by John J. Watkins

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