The theory of algebraic numbers
โ Scribed by John P. D'Angelo, Steven G. Krantz
- Book ID
- 127425684
- Publisher
- Mathematical Association of America
- Year
- 2002
- Tongue
- English
- Weight
- 5 MB
- Series
- The Carus mathematical monographs 9
- Edition
- 2d ed
- Category
- Library
- City
- [Washington]
- ISBN-13
- 9780883850183
No coin nor oath required. For personal study only.
โฆ Synopsis
Inequalities from Complex Analysis is a careful, friendly exposition of some rather interesting mathematics. The author begins by defining the complex number field; he gives a novel presentation of some standard mathematical analysis in the early chapters. The development culminates with some results from recent research literature. The book provides complete yet comprehensible proofs as well as some surprising consequences of the results. One unifying theme is a complex variables analogue of Hilbert's seventeenth problem. Numerous examples, exercises and discussions of geometric reasoning aid the reader. The book is accessible to undergraduate mathematicians, as well as physicists and engineers.
๐ SIMILAR VOLUMES
An excellent introduction to the basics of algebraic number theory, this concise, well-written volume examines Gaussian primes; polynomials over a field; algebraic number fields; and algebraic integers and integral bases. After establishing a firm introductory foundation, the text explores the uses