2. Mathematical Concepts
| 2.1 | Introduction |
| 2.2 | Sets, Relations and Functions |
| 2.3 | Groups |
| 2.4 | Rings |
| 2.5 | Integers |
| 2.6 | Polynomials |
| 2.7 | Vector Spaces and Modules |
| 2.8 | Fields |
| 2.9 | Finite Fields |
| 2.10 | Affine and Projective Curves |
| 2.11 | Elliptic Curves |
| 2.12 | Hyperelliptic Curves |
| 2.13 | Number Fields |
| 2.14 | p-adic Numbers |
| 2.15 | Statistical Methods |
| Chapter Summary | |
| Sugestions for Further Reading |
Young man, in mathematics you don’t understand things, you just get used to them.
—John von Neumann
Mathematics contains much that will neither hurt one if one does not know it nor help one if one does know it.
—J. B. Mencken
Mathematics is the Queen of Science but she isn’t very pure; she keeps having babies by handsome young upstarts and various frog princes.
—Donald Kingsbury
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