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Computational Mathematics An Introduction by I Liang Chern
This note explains the following topics: solving equations of one variable, Basic numerical linear algebra, Approximation theory, Numerical integration, Numerical ordinary differential equations.
Author(s): I Liang Chern, National Taiwan University
160 Pages 
Introduction to Computational Mathematics by Greg Fasshauer
This note describes the following topics: Mathematical modeling, Taylor series, Floating point numbers and MATLAB.
Author(s): Greg Fasshauer, Illinois Institute of Technology
163 Pages
Computational Mathematics by Oxford
This PDF book covers the following topics related to Computational Mathematics : Introduction to MATLAB, Algebraic equations and calculus, Differential equations, sums, matrices and vectors, Loops, conditionals and functions, A simple matrix function.
Author(s): Prof. Nick Trefethen
56 Pages
This lecture note covers the following topics: Prelude: computation, undecidability and the limits of mathematical knowledge, Computational complexity 101: the basics, Problems and classes inside N P, Lower bounds, Boolean Circuits, and attacks on P vs. NP, Proof complexity, Randomness in computation, Abstract pseudo-randomness, Weak random sources and randomness extractors, Randomness in proof, Randomness in proofs, Arithmetic complexity, Interlude: Concrete interactions between Math and Computational Complexity.
Author(s): Avi Wigderson
372 Pages
Computational Mathematics by Jose Augusto Ferreira
This lecture note explains the following topics: This Numerical Methods for ODEs, Discretizations for ODEs, The Runge-Kutta Methods, Linear Multistep Methods, Numerical Methods for PDEs, Tools of Functional Analysis, The Ritz-Galerkin Method, FDM for Time-Dependent PDES, Finite Difference Methods for Elliptic Equations, Computational Projects.
Author(s): Augusto Ferreira
177 Pages