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Ordinary differential equations an elementary text book with an introduction to Lie's theory of the group of one parameter
This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. On account of the elementary character of the book, only the simpler portions of the subject have been touched upon at all ; and much care has been taken to make all the developments as clear as possible every important step being illustrated by easy examples.
Author(s): James Morris
264 Pages 
This book explains the following topics: IFirst-order differential equations, Direction fields, existence and uniqueness of solutions, Numerical methods, Linear equations, models, Complex numbers, roots of unity, Second-order linear equations, Modes and the characteristic polynomial, Good vibrations, damping conditions, Exponential response formula, spring drive, Complex gain, dashpot drive, Operators, undetermined coefficients, resonance, Frequency response, LTI systems, superposition, RLC circuits, Engineering applications, Fourier series, Operations on fourier series , Periodic solutions; resonance, Step functions and delta functions, Step response, impulse response, Convolution, First order systems, Linear systems and matrice, Eigenvalues, eigenvectors, etc.
Author(s): Prof. Haynes Miller, Prof. Arthur Mattuck, Massachusetts Institute of Technology
NA Pages
Differential Equations for Engineers
This note covers the following topics: The trigonometric functions, The fundamental theorem of calculus, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.
Author(s): Jeffrey R. Chasnov
149 Pages
Lectures on Partial Differential Equations
This note explains the following topics: The translation equation, The wave equation, The diffusion equation, The Laplace equation, The Schrodinger equation, Diffusion and equilibrium, Fourier series, Fourier transforms, Gradient and divergence, Spherical harmonics.
Author(s): William G. Faris
123 Pages
Lectures on Differential Equations
This note covers the following topics: First Order Equations and Conservative Systems, Second Order Linear Equations, Difference Equations, Matrix Differential Equations, Weighted String, Quantum Harmonic Oscillator, Heat Equation and Laplace Transform.
Author(s): Craig A. Tracy
175 Pages
Differential Equations by Paul Selick
This note describes the following topics: First Order Ordinary Differential Equations, Applications and Examples of First Order ode’s, Linear Differential Equations, Second Order Linear Equations, Applications of Second Order Differential Equations, Higher Order Linear Differential Equations, Power Series Solutions to Linear Differential Equations, Linear Systems, Existence and Uniqueness Theorems, Numerical Approximations.
Author(s): Paul Selick
174 Pages
Elementary Differential Equations With Boundary Value Problems
This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier Expansions, Fourier Solutions of Partial Differential Equations, Boundary Value Problems for Second Order Linear Equations.
Author(s): William F. Trench
806 Pages
Introduction to Differential Equations
This book covers the following topics: Introduction to odes, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.
Author(s): Jeffrey R. Chasnov
128 Pages
Mathematical Methods For Partial Differential Equations
These are the sample pages from the textbook. Topics Covered: Partial differential equations, Orthogonal functions, Fourier Series, Fourier Integrals, Separation of Variables, Boundary Value Problems, Laplace Transform, Fourier Transforms, Finite Transforms, Green's Functions and Special Functions.
Author(s): John Henry Heinbockel
NA Pages
This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. On account of the elementary character of the book, only the simpler portions of the subject have been touched upon at all ; and much care has been taken to make all the developments as clear as possible every important step being illustrated by easy examples.
Author(s): James Morris
264 Pages
Harmonic Analysis and Partial Differential Equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Difference Equations to Differential Equations
This book covers the following topics: Sequences, limits, and difference equations, Functions and their properties, Best affine approximations, Integration, Polynomial approximations and Taylor series, transcendental functions, The complex plane and Differential equations.
Author(s): Dan Sloughter, Furman University
NA Pages
This note covers the following topics: Derivatives, differential equations, partial differential equations, distributions, Cauchy-Kowalewsky theorem, heat equation, Laplace equation, Schrodinger equation, wave equation, Cauchy-Riemann equations.
Author(s): L. Boutet de Monvel
26 Pages
Second Order Linear Differential Equations
This note contains problems and their solutions related to Second-Order Linear Differential Equations.
Author(s): NA
10 Pages
These notes are a concise understanding-based presentation of the basic linear-operator aspects of solving linear differential equations. Topics covered includes: Operators and Linear Combinations, Homogeneous linear equations, Complex Exponentials and Real Homogeneous Linear Equations, Non-homogeneous linear equations and Systems of Linear Differential Equations.
Author(s): Jerome Dancis
43 Pages
Differential Equations (Dawkins P)
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Entropy and Partial Differential Equations(Evans L.C pdf)
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
