"Number Theory: A Lively Introduction with Proofs, Applications,
and Stories," is a new book that provides a rigorous yet accessible
introduction to elementary number theory along with relevant
applications.
Readable discussions motivate new concepts and theorems before
their formal definitions and statements are presented. Many
theorems are preceded by "Numerical Proof Previews," which are
numerical examples that will help give students a concrete
understanding of both the statements of the theorems and the ideas
behind their proofs, before the statement and proof are formalized
in more abstract terms. In addition, many applications of number
theory are explained in detail throughout the text, including some
that have rarely (if ever) appeared in textbooks.
A unique feature of the book is that every chapter includes a
"math myth," a fictional story that introduces an important number
theory topic in a friendly, inviting manner. Many of the exercise
sets include in-depth "Explorations," in which a series of
exercises develop a topic that is related to the material in the
section.
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