Contents: 1. Lorenz Model: an introduction to chaos; 2. The Pendulum: the language of dynamical systems; 3. Nonlinear Oscillators: quasiperiodicity and frequency locking; 4. One Dimensional Maps; 5. T . . . . .
This Electronic Statistics Textbook offers training in the understanding and application of statistics. The material was developed at the StatSoft R&D department based on many years of teaching underg . . . . .
Contents: Introduction; Partial Differentiation; Curves and Surfaces; Line Integrals and Exact Differentials; Multiple Integrals; Vector Differential Operators; The Big Integral Theorems; Orthogonal . . . . .
This is a textbook about prime numbers, congruences, basic public-key cryptography, quadratic reciprocity, continued fractions, elliptic curves, and number theory algorithms. We assume the reader has . . . . .
Contents: Preliminaries; Solution of Linear Algebraic Equations; Interpolation and Extrapolation; Integration of Functions; Evaluation of Functions; Special Functions; Random Numbers; Sorting ; Root . . . . .
Contents: Preliminaries on Modern Economics and Mathematics; Consumer Theory; Production Theory; Choice Under Uncertainty; Game Theory; Theory of the Market; Positive Theory of Equilibrium: Existence, . . . . .
Contents: Basic Axioms for Z; proof by induction; elementary divisibility properties; The floor and ceiling of a real number; The division algorithm; greatest common divisor; the eucledian algorithm; . . . . .
Contents: Basic equations; Electrostatics; Magnetostatics; Law of Induction; Maxwell's Equations; Electromagnetic Waves; Electrodynamic Potentials; Lorentz Invariance of Electrodynamics; Different Sy . . . . .
Contents: Introduction; Special Relativity and Flat Spacetime; Manifolds; Curvature; Gravitation; More Geometry; Weak Fields and Gravitational Radiation; The Schwarzschild Solution and Black Holes; Co . . . . .
Contents: Reptation Quantum Monte Carlo; Phase separation in the 2D Hubbard model; Calculations of exchange frequencies with path integral Monte Carlo; Monte Carlo Methods in Nuclear Physics; Path-int . . . . .