Number Theory: A Lively Introduction with Proofs, Applications, and Stories

by TimMarks (Author), JamesPommersheim (Author), EricaFlapan (Author)

• New

  Hardcover
  2010

  $210.78

  Number Theory: A Lively Introduction with Proofs, Applications,and Stories, is a new book that provides a rigorous yetaccessible introduction to elementary number theory along withrelevant applications.

  Readable discussions motivate new concepts and theorems beforetheir formal definitions and statements are presented. Manytheorems are preceded by Numerical Proof Previews, which arenumerical examples that will help give students a concreteunderstanding of both the statements of the theorems and the ideasbehind their proofs, before the statement and proof are formalizedin more abstract terms. In addition, many applications of numbertheory are explained in detail throughout the text, including somethat have rarely (if ever) appeared in textbooks.

  A unique feature of the book is that every chapter includes amath myth, a fictional story that introduces an importantnumber theory topic in a friendly, inviting manner. Many of theexercise sets include in-depth Explorations, in which aseries of exercises develop a topic that is related to the materialin the section.