Maths (general)

Open Courseware and Resources (general)

- Mathematics: body of knowledge centered on such concepts as quantity, structure, space and change and also the academic discipline that studies them (Wikipedia).

Introduction to Numerical Methods

numerical linear algebra & methods for solving ordinary differential equations, linear systems of equations, least square, eigenvalue & singular value problems: tools

SticiGui Java Tools

statistics tools for internet and classroom instruction (for business, social science, or liberal arts, important statistical & probabilistic concepts,subjective decisions, pitfalls in analyzing data & making inferences from numbers): notes, tools (binomial histogram, calculator, chi-square distribution, controlling for variables, confidence intervals, correlation & regression, histogram, law of large numbers, normal approximation to data, normal curve & probabilities, calculator, sampling distributions, scatterplots, Student's t distribution, Venn diagrams)

Gödel, Escher, Bach: A Mental Space Odyssey

math, fractals, logic, paradoxes, infinities, art, language, computer science, physics, music, intelligence, consciousness, unified theories, based on Douglas Hofstadter's Pulitzer Prize winning book, higher dimensions of recursive thinking
 

Mathematical Methods for Engineers

numerical methods, initial-value problems, network flows and optimization: Readings, Projects, Study Materials
 

Advanced Analytic Methods in Science and Engineering

comprehensive treatment of the advanced methods of applied mathematics: series solutions of linear homogeneous ODE, WKB method, asymptotic expansion of integrals, boundary layer theory, small non-linear oscillations

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