Number theory : introduction to mathematics Part A

Includes index

Includes bibliography references

pt. A
1 The expanding universe of numbers
2 Divisibility
3 More on divisibility
4 Continued fractions and their uses
5 Hadamard's determinant problem
6 Hensel's p-adic numbers
Notations
Axioms
pt. B
7 The arithmetic of quadratic forms
8 The geometry of numbers
9 The number of prime number
10 A character study
11 Uniform distribution and ergodic theory
12 Elliptic functions
13 Connections with number theory

Annotation Undergraduate courses in mathematics are commonly of two types. On the one hand are courses in subjects such as linear algebra or real analysis with which it is considered that every student of mathematics should be acquainted. On the other hand are courses given by lecturers in their own areas of specialization, which are intended to serve as a preparation for research. But after taking courses of only these two types, students might not perceive the sometimes surprising interrelationships and analogies between different branches of mathematics, and students who do not go on to become professional mathematicians might never gain a clear understanding of the nature and extent of mathematics.