Chapter 1. Preliminary notions
Chapter 2. Prime numbers and their properties
Chapter 3. The Riemann zeta function
Chapter 4. Setting the stage for the proof of the prime number theorem
Chapter 5. The proof of the prime number theorem
Chapter 6. The global behavior of arithmetic functions
Chapter 7. The local behavior of arithmetic functions
Chapter 8. The fascinating Euler function
Chapter 9. Smooth numbers
Chapter 10. The Hardy-Ramanujan and Landau theorems
Chapter 11. The abc conjecture and some of its applications
Chapter 12. Sieve methods
Chapter 13. Prime numbers in arithmetic progression
Chapter 14. Characters and the Dirichlet theorem
Chapter 15. Selected applications of primes in arithmetic progression
Chapter 16. The index of composition of an integer

The authors assemble a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behavior of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the abc conjecture along with some of its applications, and sieve methods. The book concludes with a whole chapter on the index of composition of an integer.---Summary provided by publisher