Dudley, Underwood
Elementary Number Theory
- ISBN 13:
- 9780486469317
- author:
- Dudley, Underwood
- format:
- Paperback
- publisher:
- Dover Publications Inc.
- language:
- English
- Publication Year:
- 2008
- Pages:
- 272
- Dimensions:
- 139 mm X 216 mm
- Genre:
- Mathematics
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
This lively introduction to elementary number theory requires only a familiarity with algebra and real numbers. Underwood Dudley's approach focuses on solving problems to learn mathematics, making this text an engaging choice for students.
The book includes nearly 1,000 exercises and problems, ranging from computational to classical, many of which are original or have complete solutions. The text builds on these problems with clear explanations of the basics of elementary number theory and develops fundamental properties of integers and congruences.
Subsequent chapters cover proofs of Fermat's and Wilson's theorems, introduce number theoretic functions, and explore the quadratic reciprocity theorem, before concluding with additional problems and helpful appendices. With its mix of explanations and exercises, this text provides a comprehensive foundation for students to build upon.