An Introduction to Number Theory provides an introduction to the
main streams of number theory. Starting with the unique
factorization property of the integers, the theme of factorization
is revisited several times throughout the book to illustrate how
the ideas handed down from Euclid continue to reverberate through
the subject.
In particular, the book shows how the Fundamental Theorem of
Arithmetic, handed down from antiquity, informs much of the
teaching of modern number theory. The result is that number theory
will be understood, not as a collection of tricks and isolated
results, but as a coherent and interconnected theory.
A number of different approaches to number theory are presented,
and the different streams in the book are brought together in a
chapter that describes the class number formula for quadratic
fields and the famous conjectures of Birch and Swinnerton-Dyer. The
final chapter introduces some of the main ideas behind modern
computational number theory and its applications in
cryptography.
Written for graduate and advanced undergraduate students of
mathematics, this text will also appeal to students in cognate
subjects who wish to learn some of the big ideas in number
theory.
General
| Imprint: |
Springer London
|
| Country of origin: |
United Kingdom |
| Series: |
Graduate Texts in Mathematics, 232 |
| Release date: |
May 2007 |
| First published: |
2005 |
| Authors: |
G. Everest
• Thomas Ward
|
| Dimensions: |
235 x 155 x 25mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
297 |
| Edition: |
1st ed. 2005. Corr. 2nd printing 2007 |
| ISBN-13: |
978-1-85233-917-3 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
|
| LSN: |
1-85233-917-9 |
| Barcode: |
9781852339173 |
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