Preface
Notation
Frequently Used Functions
Chapter 1.Preliminary Notions
§1.1.Approximating a sum by an integral
§1.2. The Euler-MacLaurin formula
§1.3. The Abel summation formula
§1.4.Stieltjes integrals
§1.5.Slowly oscillating functions
§1.6. Combinatorial results
§1.7. The Chinese Remainder Theorem
§1.8. The density of a set of integers
§1.9. The Stirling formula
§1.10.Basic inequalities Problems on Chapter 1
Chapter 2.
Prime Numbers and Their Properties
§2.1.Prime numbers and their polynomial representations
§2.2.There exist infinitely many primes
§2.3.A first glimpse at the size of r(x)
§2.4.Fermat numbers
