Mathematics Codex
Mathematical reference covering college algebra through discrete math, with emphasis on concepts that directly apply to computing and security engineering.
Topics
| Topic | Description |
|---|---|
Equations, functions, exponents, logarithms, series |
|
Limits, derivatives, integrals — conceptual foundations |
|
Vectors, matrices, determinants, eigenvalues |
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Propositional logic, predicate logic, Boolean algebra |
|
Sets, operations, relations, cardinality |
|
Functions, induction, recurrences, modular arithmetic, growth |
|
Counting, permutations, combinations, pigeonhole principle |
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Conditional probability, Bayes' theorem, distributions |
|
Descriptive stats, percentiles, correlation, hypothesis testing |
|
Primes, GCD, modular arithmetic, cryptographic foundations |
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Graphs, traversal, shortest paths, centrality, the association engine |
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Direct proof, contradiction, contrapositive, induction, counterexamples |
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Symbols, Greek letters, conventions for reading mathematical text |
Why Math?
| Domain | Mathematical Foundation |
|---|---|
Algorithms |
Recurrences, asymptotic growth, combinatorics |
Cryptography |
Number theory, modular arithmetic, probability |
Networking |
Graph theory, probability, statistics (SLA) |
Security |
Probability (risk), statistics (anomaly detection), Boolean algebra |
Machine Learning |
Linear algebra, calculus, probability, statistics |
Database Design |
Set theory, relations, predicate logic |