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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 
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
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 pseudorandomness, 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 RungeKutta Methods, Linear Multistep Methods, Numerical Methods for PDEs, Tools of Functional Analysis, The RitzGalerkin Method, FDM for TimeDependent PDES, Finite Difference Methods for Elliptic Equations, Computational Projects.
Author(s): Augusto Ferreira
177 Pages
Introduction To Computational Mathematics
The goal of computational mathematics, put simply, is to find or develop algorithms that solve mathematical problems computationally. Topics covered includes, Errors and Error Propagation, Root Finding, Interpolation, Integration, Discrete Fourier Methods and Numerical Linear Algebra.
Author(s): H. De Sterck, P. Ullrich, Department of Applied Mathematics, University of Waterloo
118 Pages