Out of print

Number Theory with Applications

James A. Anderson, University of South Carolina-Spartanburg

James M. Bell, Milliken & Company

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Overview

Description

For undergraduate courses in Number Theory for mathematics, computer science, and engineering majors.

Ideal for students of varying mathematical sophistication, this text provides a self-contained logical development of basic number theory, supplemented with numerous applications and advanced topics.

Features

Offers more flexibility in coverage than other texts. It allows instructors to first cover core ideas for writing proofs and basic number theory sections. It then branches into several directions as desired, including chapters that utilize abstract algebra.

Focuses on the axiomatic development of number theory — showing students how to prove theorems and understand the nature of number theory. Pg.___

This is the most applications oriented text on the market:
- Presents applications in each chapter where the supporting theory is developed. Pg.___
- Treats applications in depth — with substantive discussion of the context of each application. Pg.___
- Draws applications from many areas — e.g., physics, statistics, computer science, mathematics, astronomy, cryptography, and mechanics. Pg.___

Features extensive, detailed worked examples that illustrate many number theoretic patterns —without the students' having to generate all of them themselves. Pg.___

Provides over 1000 practice problems — of various types, covering all theory and applications presented. Pg.___

Surveys the historical context of number theory and the people who developed the theorems. Pg.___

Offers a self-contained treatment of tools necessary to understand and construct proofs — e.g., set theory and proof logic. Pg.___

Covers Peano Postulates — a concise and historically important set of axioms from which number theory can be developed. Pg.___

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