This account of Algebraic Number Theory is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm
A brief guide to algebraic number theory
β Scribed by H. P. F. Swinnerton-Dyer
- Book ID
- 127400161
- Publisher
- Cambridge University Press
- Year
- 2001
- Tongue
- English
- Weight
- 1016 KB
- Series
- London Mathematical Society student texts 50
- Edition
- 1st
- Category
- Library
- City
- Cambridge; New York
- ISBN-13
- 9780521802925
No coin nor oath required. For personal study only.
β¦ Synopsis
A text primarily for beginning graduate students that is largely an account of mainstream theory but also contains some illustrative applications. Algebraic number theory, originally developed to attack Fermat's Last Theorem, has become an important tool over a wide range of pure mathematics, and many of the ideas involved generalize to branches such as algebraic geometry. The text covers the two basic methods of approaching algebraic number theory: using ideals and valuations. The author is a Cambridge (UK) mathematician.
π SIMILAR VOLUMES
This book provides a brisk, thorough treatment of the foundations of algebraic number theory on which it builds to introduce more advanced topics. Throughout, the authors emphasize the systematic development of techniques for the explicit calculation of the basic invariants such as rings of integers
This is a text for a basic course in algebraic number theory.
Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasises algorithms and applications, such as cryptography and error