By John J. Watkins

The usual numbers were studied for millions of years, but such a lot undergraduate textbooks current quantity thought as a protracted record of theorems with little point out of ways those effects have been came across or why they're vital. This publication emphasizes the historic improvement of quantity thought, describing tools, theorems, and proofs within the contexts within which they originated, and delivering an obtainable creation to 1 of the main interesting matters in mathematics.

Written in an off-the-cuff type by means of an award-winning instructor, Number Theory covers leading numbers, Fibonacci numbers, and a bunch of alternative crucial themes in quantity concept, whereas additionally telling the tales of the nice mathematicians at the back of those advancements, together with Euclid, Carl Friedrich Gauss, and Sophie Germain. This exceptional introductory textbook gains an in depth set of difficulties that let scholars to actively strengthen and expand their realizing of the fabric, in addition to absolutely labored ideas for lots of of those difficulties. it is also precious tricks for whilst scholars are not sure of ways to start on a given problem.

  • Uses a special historic method of educating quantity theory
  • Features a number of difficulties, important tricks, and completely 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 robust open-source arithmetic software program package deal
  • Ideal for undergraduate arithmetic majors in addition to non-math majors
  • Digital options guide (available purely to professors)

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