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Applied Mathematics Lecture Notes
This book covers the following topics in applied mathematics: Linear Algebraic Systems, Vector Spaces and Bases, Inner Products and Norms, Minimization and Least Squares Approximation, Orthogonality, Equilibrium, Linearity, Eigenvalues, Linear Dynamical Systems, Iteration of Linear Systems, Boundary Value Problems in One Dimension, Fourier Series, Fourier Analysis, Vibration and Diffusion in One-Dimensional Media, The Laplace Equation, Complex Analysis, Dynamics of Planar Media, Partial Differential Equations in Space, Nonlinear Systems, Nonlinear Ordinary Differential Equations, The Calculus of Variations and Nonlinear Partial Differential Equations.
Author(s): Peter J. Olver
NA Pages 
This note covers introduction to pure mathematics, Number theory, Functions and relations, Graph theory and group theory.
Author(s): Tom Coleman
126 Pages
Applied Mathematics Lecture Notes by Peter J Olver and Chehrzad Shakiban
This note covers boundary value problems in one dimension, Fourier series,Fourier analysis, Vibration and diffusion in one dimensional media, The planar laplace equation, Complex analysis, Dynamics of planar media, Partial differential equations in space, Nonlinear systems, Nonlinear ordinary differential equations, The calculus of variations, Nonlinear partial differential equations.
Author(s): Peter J Olver and Chehrzad Shakiban
644 Pages
Lectures on Applied Mathematics by Ray M.Bowen
This Lecture note explains the following topics: Elementary Matrix Theory, Vector Spaces, Linear Transformations, Vector Spaces with Inner Product, Eigenvalue Problems and Additional Topics Relating to Eigenvalue Problems.
Author(s): Ray M.Bowen, University College Station Texas
590 Pages
Introduction to Applied Mathematics
This PDF Lecture covers the following topics related to Applied Mathematics : Introduction - What is Applied Mathematics, Dimensional Analysis and Scaling, Asymptotic analysis, Perturbation Methods, Asymptotic Expansion of Integrals, Functional Analysis - A Crash Course, Calculus of Variations, Orthogonal Expansions, Sturm Liouville Problem.
Author(s): Jan Glaubitz
90 Pages
Mathematics for Computer Scientists
This note covers the following topics: Types and sets, Basic logic, Classical tautologies, Natural numbers, Primitive recursion, Inductive types, Predicates and relations, Subset and Quotients, Functions.
Author(s): Thorsten Altenkirch
71 Pages
Selected Topics in Applied Mathematics
These are notes on various topics in applied mathematics.Major topics covered are: Differential Equations, Qualitative Analysis of ODEs, The Trans-Atlantic Cable, The Laplace Transform and the Ozone Layer, The Finite Fourier Transform, Transmission and Remote Sensing, Properties of the Fourier Transform, Transmission Tomography,The ART and MART, Vectors,A Brief History of Electromagnetism, Changing Variables in Multiple Integrals, Kepler’s Laws of Planetary Motion, Green’s Theorem, Complex Analysis, The Quest for Invisibility, Calculus of Variations, Bessel’s Equations, Hermite’s Equations and Quantum Mechanics.
Author(s): Charles L. Byrne
330 Pages