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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
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 Biomedical Physics
This PDF book covers the following topics related to Mathematics for Biomedical Physics : Differential Calculus, Integral Calculus, Infinite Series, Fourier Series, Complex Variables, Determinants, Matrices, Vector Analysis, Curvilinear Coordinates and Multiple Integrals, Vector Calculus, First Order Differential Equations, Diffusion Equation, Probability Distribution Functions.
Author(s): Jogindra M. Wadehra, Wayne State University
242 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
Methods of Applied Mathematics Notes
This note describes the following topics: Normed Linear Spaces and Banach Spaces, Hilbert Spaces, Spectral Theory and Compact Operators, Distributions, The Fourier Transform, Sobolev Spaces, Boundary Value Problems, Differential Calculus in Banach Spaces and the Calculus of Variations.
Author(s): Todd Arbogast and Jerry L. Bona
279 Pages
Methods of Applied Mathematics Lecture Notes
This note explains the following topics: Linear Algebra, Fourier series, Fourier transforms, Complex integration, Distributions, Bounded Operators, Densely Defined Closed Operators, Normal operators, Calculus of Variations, Perturbation theory.
Author(s): William G. Faris
143 Pages
Principles of Applied Mathematics
Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc.
Author(s): Prof. Rodolfo Rosales
NA Pages
Applied Mathematics Body and Soul
This book explains the following topics: Introduction to Modeling, Natural Numbers and Integers, Mathematical Induction, Rational Numbers, Pythagoras and Euclid, Polynomial functions, Combinations of functions, Lipschitz Continuity, Sequences and limits, The Square Root of Two, Real numbers, Fixed Points and Contraction Mappings, Complex Numbers, The Derivative, Differentiation Rules, Newton’s Method, Galileo, Newton, Hooke, Malthus and Fourier.
Author(s): Kenneth Eriksson, Don Estep and Claes Johnson
466 Pages
Applied Mathematics Methods and Models
This book covers the following topics in applied mathematics: Dimensional Analysis, Scaling and Similarity, Calculus of Variations, Sturm-Liouville Eigenvalue Problems and Stochastic Processes.
Author(s): John K. Hunter
NA Pages
Derivations of Applied Mathematics
Derivations of Applied Mathematics is a book of applied mathematical proofs. This book covers the following topics in applied mathematics: Classical algebra and geometry, Trigonometry, derivative, The complex exponential, Primes, roots and averages, Taylor series, Integration techniques, Matrices and vectors, Transforms and special functions.
Author(s): Thaddeus H. Black
664 Pages
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
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NA Pages
Computational Complexity A Conceptual Perspective
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Author(s): NA
NA Pages
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NA Pages
Introduction to Statistical Signal Processing
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