This PDF Lecture covers the following topics related to Applied Mathematics : Number Theory, Prime Number Ratio, Proportion and Logarithms, Interpretatlysis of Data, Commercial Mathematics, Set Theory Unit 6: Relation and Function, Algebra Complex Number, Sequence and Series, Permutations and Combinations, Trigonometry.
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
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
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
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
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, Keplerís Laws of Planetary Motion, Greenís Theorem, Complex Analysis, The Quest for Invisibility, Calculus of Variations, Besselís Equations, Hermiteís Equations and Quantum Mechanics.
Author(s): Charles L. Byrne
This note explains the following topics: Integral Equations, Volterra Equations, Fredholm Integral Equations, Greenís Functions, Complex Analysis, Complex Integration, The Method of Residues, Conformal Mappings and their Applications.
Author(s): Dr. Sarah Mitchell
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
This book explains the following topics: Linear Equations, Matrices, Linear Programming, Mathematics of Finance, Sets and Counting, Probability, Markov Chains, Game Theory.
Author(s): Rupinder Sekhon
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
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
This note covers the following topics: Fourier Transforms, Applications of Fourier Transforms, Curvilinear Co-ordinates, Random variable and Mathematical Expectation, Moments and Moment generating functions, Theoretical Discrete Distributions, Theoretical Continuous Distributions, Multiple and partial Correlation.
Author(s): Prof .Kuldip Bansal, Guru Jambheshwar University of Science and Technology, Hisar
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, Newtonís Method, Galileo, Newton, Hooke, Malthus and Fourier.
Author(s): Kenneth Eriksson, Don Estep and Claes Johnson
This Handbook of Mathematics is designed to contain, in compact form, accurate statements of those facts and formulas of pure mathematics which are most likely to be useful to the worker in applied mathematics. Many topics of an elementary character are presented in a form which permits of immediate utilization even by readers who have had no previous acquaintance with the subject; for example, the practical use of logarithms and logarithmic cross-section paper, and the elementary parts of the modern method of nomography (alignment charts), can be learned from this book without the necessity of consulting separate treatises.
Author(s): E. V. Huntington, L. A. Fischer
This lecture note covers the following topics related to applied mathematics: Dimensional Analysis, Scaling, and Similarity, Calculus of Variations, Sturm-Liouville Eigenvalue Problems and Stochastic Processes.
Author(s): John K. Hunter
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
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
This text concentrates on mathematical concepts rather than on details of calculations, which are often done with software, such as Maple or Mathematica. The book is targeted at engineering students who have had two years of calculus, introductory linear algebra, and introductory ordinary differential equations.
Author(s): Evans M. Harrell II and James V. Herod
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
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