| Description |
1 online resource (214 pages) |
| Series |
Textbooks in Mathematics Ser |
|
Textbooks in Mathematics Ser
|
| Contents |
Cover; Half Title; Title Page; Copyright Page; Contents; Preface; 1 Elementary Number Theory; 1.1 Divisibility; 1.2 Primes and factorization; 1.3 Congruences; 1.4 Solving congruences; 1.5 Theorems of Fermat and Euler; 1.6 RSA cryptosystem; 2 Groups; 2.1 Definition of a group; 2.2 Examples of groups; 2.3 Subgroups; 2.4 Cosets and Lagrange's Theorem; 3 Rings; 3.1 Definition of a ring; 3.2 Subrings and ideals; 3.3 Ring homomorphisms; 3.4 Integral domains; 4 Fields; 4.1 Definition and basic properties of a field; 5 Finite Fields; 5.1 Number of elements in a finite field |
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5.2 How to construct finite fields5.3 Properties of finite fields; 5.4 Polynomials over finite fields; 5.5 Permutation polynomials; 5.6 Applications; 5.6.1 Orthogonal Latin squares; 5.6.2 Diffie/Hellman key exchange; 6 Vector Spaces; 6.1 Definition and examples; 6.2 Basic properties of vector spaces; 6.3 Subspaces; 7 Polynomials; 7.1 Basics; 7.2 Unique factorization; 7.3 Polynomials over the real and complex numbers; 7.4 Root formulas; 8 Linear Codes; 8.1 Basics; 8.2 Hamming codes; 8.3 Encoding; 8.4 Decoding; 8.5 Further study; 8.6 Exercises; 9 Appendix; 9.1 Mathematical induction |
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9.2 Well-ordering Principle9.3 Sets; 9.4 Functions; 9.5 Permutations; 9.6 Matrices; 9.7 Complex numbers; 10 Hints and Partial Solutions to Selected Exercises; Bibliography; Index |
| Notes |
Print version record |
| Form |
Electronic book
|
| Author |
Sellers, James A
|
| ISBN |
9781482250077 |
|
1482250071 |
|
