Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
Techniques in Applied Mathematics
This course note develops mathematical techniques which are useful in solving `real-world' problems involving differential equations, and is a development of ideas which arise in the second year differential equations course. This note embraces the ethos of mathematical modelling, and aims to show in a practical way how equations `work', and what kinds of solution behaviours can occur.
Author(s): Andrew Fowler
NA 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
Introduction to Applied Mathematics by Alan Parks
This book covers the following topics: The Exponential Function, Exponentials and Logarithms, Exponential Models, Recursion, Recursive Models, Investigating Recursive Models, The Derivative, Discovering the Derivative, The Derivative at a Point, The Derivative of a Function, Computing the Derivative, The Power Rule, Linearity, Products and Quotients, Exponentials and Logarithms, The Chain Rule, Interpreting and Using the Derivative, Curve Sketching, Newton’s Method, The Chain Rule Revisited, Marginals, Linear Optimization, Simple Examples, More Complicated, Shadow Prices Lagrange Multipliers, The Integral, Antiderivatives, The Definite Integral, Riemann Sums, Interpreting and Using the Integral, Anti Rates, Area, Probability, Quantities in Economics, Matrix Algebra, Matrix Arithmetic, Applications of Matrix Algebra, Linear Equations, Equations and Solutions, Matrix Inverse, Applications of Linear Equations, Partial Derivatives, Partial derivatives, Higher Order Derivatives, The Chain Rule, Non Linear Optimization, The First Derivative Test, Lagrange Multipliers, Fitting a Model to Data, Spread sheet Formulas, Function Values, Recursion Calculations and Matrix Calculations.
Author(s): Alan Parks, Lawrence University
248 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
This note explains the following topics: Mathematics in Design, Mathematics and Measurements, Statistics and Probability, Differential and Integral Calculus, Trigonometry.
Author(s): Sathyabama Institute of Science and Technology
122 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