Lecture Notes
This is simply a collection of links and PDF files. If a link does not work, you may google it with the title of notes and the author name; and send me an email so that I can correct the link.
Questions and Answers
- OR-Exchange! - questions and answers in operations research
- Numerical Optimization Forum - Discussions for numerical optimization and software
Open Courses
Case Studies
- Cases - Harvard Business Publishing for Educators
Economics
- Online economics textbooks - A collection of economics textbooks available over the Internet
- WebEc - World Wide Web Resources in Economics
Mathematics
Analysis
- (PDF) Mathematical Methods of Engineering Analysis --Erhan Cinlar and Robert J. Vanderbei
- (PDF)(http://www-unix.oit.umass.edu/~gbs/mta/ LINK) Banach Spaces and Differential Calculus --Jerrold E. Marsden and Tudor S. Ratiu
- (PDF) Methods of Applied Mathematics --Todd Arbogast and Jerry Bona
- (LINK) Lecture Notes and Background Materials on Lebesgue Theory from a Hilbert and Banach Space Perspective, Including an Application to Fractal Image Compression -- Willard Miller
- (LINK) Real Analysis and Probability Theory with Economic Applications --Efe Ok
- (PDF) Lectures on Lipschitz Analysis --Juha Heinonen
Numerical Computations
- (LINK) Structural Optimization (Notes on FEM)
- Numerical Methods For Infinite Dimensional Optimization
- (LINK) Numerical Optimal Control in Continuous Time Made Easy --Eric Nævdal
- Includes some basics of Excel
Linear Albegra
Matrix Calculus
- Wikipedia - Matrix calculus
- Matrix calculus appendix from Introduction to Finite Element Methods book on University of Colorado at Boulder.
- Matrix calculus Matrix Reference Manual , Imperial College London.
- Matrix calculus appendix to Convex Optimization & Euclidean Distance Geometry by Jon Dattorro.
- The Matrix Cookbook, with a derivatives chapter.
- Matrix Differential Calculus with Applications in Statistics and Econometrics, by Jan R. Magnus and Heinz Neudecker.
Optimization
- (LINK) Myths and Counterexamples in Mathematical Programming
- (LINK) Efficient Methods in Optimisation
- (LINK) Jean-Pierre Aubin
- (LINK) Practical Optimization: A Gentle Introduction -- John W. Chinneck
- (LINK) Algorithm Animations for Practical Optimization: A Gentle Introduction
Infinite Dimensional Optimization / Optimal Control
- (PDF) Infinite Dimensional Optimization and Optimal Design -Martin Burger
- (PDF)(LINK) Optimal Control --Peter Thompson
- (PDF) An Introduction to Mathematical Optimal Control Theory --Lawrence C. Evans
- (LINK) Control Training Site --Graduate Paris School on Control
- (LINK) Lecture Notes on Control --Alberto Bressan
Robust Optimization
- (LINK) Robust Optimization --Fernando Ordóñez
Stochastic
- (PDF) An Introduction to Stochastic Differential Equations --Lawrence C. Evans
- (LINK) Applied Optimal Control with emphasis on the control of jump-diffusion stochastic processes --Floyd B. Hanson
- (PDF) Stochastic Optimal Control in Finance --H. Mete Soner
- (LINK) Numerical Methods for SDE --David Cai
DEA
- (LINK) An Introduction
Networks
- (LINK) Networks, Crowds, and Markets: Reasoning About a Highly Connected World -- David Easleyand Jon Kleinberg
Probability and Statistics
Financial Engineering
- Bob Kohn's Math Finance Lecture Notes - Robert Kohn
- Financial Modeling: Options, Swaps and Derivatives - André Jaun