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# An Introduction to the Theory of Numbers

G. H. Hardy and E. M. Wright, revised by D. R. Heath-Brown and J. H. Silverman

Preface to the sixth edition, by Andrew Wiles
Preface to the fifth edition
1. The Series of Primes (1)
2. The Series of Primes (2)
3. Farey Series and a Theorem of Minkowski
4. Irrational Numbers
5. Congruences and Residues
6. Fermat's Theorem and its Consequences
7. General Properties of Congruences
8. Congruences to Composite Moduli
9. The Representation of Numbers by Decimals
10. Continued Fractions
11. Approximation of Irrationals by Rationals
12. The Fundamental Theorem of Arithmetic in k(l), k(i), and k(ρ)
13. Some Diophantine Equations
16. The Arithmetical Functions ø(n), µ(n), d(n), σ(n), r(n)
17. Generating Functions of Arithmetical Functions
18. The Order of Magnitude of Arithmetical Functions
19. Partitions
20. The Representation of a Number by Two or Four Squares
21. Representation by Cubes and Higher Powers
22. The Series of Primes (3)
23. Kronecker's Theorem
24. Geometry of Numbers
25. Elliptic Curves, by Joseph H. Silverman
Appendix
List of Books
Index of Special Symbols and Words
Index of Names
General Index