Topics in Number Theory
This book reproduces, with minor changes, the notes prepared for a course given at Brigham Young University during the academic year 1984-1985. It is intended to be an introduction to the theory of numbers. The audience consisted largely of undergraduate students with no more background than high sc...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
1988, 1988
|
| Edition: | 1st ed. 1988 |
| Series: | University Series in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Basic Properties of the Integers
- 2. Algebraic Methods
- 3. Representation of Integers by Forms
- 4. Algebraic Number Fields
- 5. Algebraic Curves
- 6. The Mordell-Weil Theorem
- 7. Computation of the Mordell-Weil Group
- 8. Equations over Finite Fields
- Appendix. Weierstrass Theory
- A.1. Review of Complex Analysis
- A.2. Elliptic Functions
- A.3. The Weierstrass Equation
- A.4. Addition Theorems
- A.5. Isomorphic Classes of Elliptic Curves
- A.6. Endomorphisms of an Elliptic Curve
- A.7. Points of Finite Order
- Some Great Number Theorists