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Mathematics and Computation
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 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
Computing Mathematics Lecture Notes by Dr Jon Shiach
This note covers mathematical fundamentals, Logic circuits, Algorithms and graph theory.
Author(s): Dr Jon Shiach
110 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