# Elementary Number Theory in Nine Chapters 2nd ed - J Tattersall (Cambridge, 2005) pdf

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```Elementary Number Theory in Nine Chapters (2e),

by James J. Tattersall,

Cambridge Univ Press, 2005.

443 pages.

Contents
========
1    The intriguing natural numbers
1.1  Polygonal numbers
1.2  Sequences of natural numbers
1.3  The principle of mathematical induction
1.4  Miscellaneous exercises
1.5  Supplementary exercises

2    Divisibility
2.1  The division algorithm
2.2  The greatest common divisor
2.3  The Euclidean algorithm
2.4  Pythagorean triples
2.5  Miscellaneous exercises
2.6  Supplementary exercises

3    Prime numbers
3.1  Euclid on primes
3.2  Number theoretic functions
3.3  Multiplicative functions
3.4  Factoring
3.5  The greatest integer function
3.6  Primes revisited
3.7  Miscellaneous exercises
3.8  Supplementary exercises

4    Perfect and amicable numbers
4.1 Perfect numbers
4.2 Fermat numbers
4.3 Amicable numbers
4.4 Perfect-type numbers
4.5 Supplementary exercises

5    Modular arithmetic
5.1 Congruence
5.2 Divisibility criteria
5.3 EulerΓÇÖs phi-function
5.4 Conditional linear congruences
5.5 Miscellaneous exercises
5.6 Supplementary exercises

6    Congruences of higher degree
6.1 Polynomial congruences
6.2 Quadratic congruences
6.3 Primitive roots
6.4 Miscellaneous exercises
6.5 Supplementary exercises

7    Cryptology
7.1 Monoalphabetic ciphers
7.2 Polyalphabetic ciphers
7.3 Knapsack and block ciphers
7.4 Exponential ciphers
7.5 Supplementary exercises

8    Representations
8.1 Sums of squares
8.2 PellΓÇÖs equation
8.3 Binary quadratic forms
8.4 Finite continued fractions
8.5 In?nite continued fractions
8.6  p -Adic analysis
8.7 Supplementary exercises

9    Partitions
9.1 Generating functions
9.2 Partitions
9.3 Pentagonal Number Theorem
9.4 Supplementary exercises

-_-```
 Elementary Number Theory in Nine Chapters 2nd ed. - J. Tattersall (Cambridge, 2005).pdf 4.803 MB
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