Mathematics Books Differential Equations Books

Linear Partial Differential Equations and Fourier Theory

Linear Partial Differential Equations and Fourier Theory

Linear Partial Differential Equations and Fourier Theory

This is a textbook for an introductory course on linear partial differential equations (PDEs) and initial/boundary value problems (I/BVPs). It also provides a mathematically rigorous introduction to Fourier analysis  which is the main tool used to solve linear PDEs in Cartesian coordinates.

Author(s):

s619 Pages
Similar Books
Differential Equations Jeffrey R. Chasnov

Differential Equations Jeffrey R. Chasnov

The contents of this book include: A short mathematical review, 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.

s149 Pages
Ordinary Differential Equations by Gabriel Nagy

Ordinary Differential Equations by Gabriel Nagy

This note describes the main ideas to solve certain differential equations, such us first order scalar equations, second order linear equations, and systems of linear equations. It uses power series methods to solve variable coefficients second order linear equations. Also introduces Laplace transform methods to find solutions to constant coefficients equations with generalized source functions.

s431 Pages
Introduction to Differential Equations by Andrew D. Lewis

Introduction to Differential Equations by Andrew D. Lewis

This note explains the following topics: What are differential equations, Polynomials, Linear algebra, Scalar ordinary differential equations, Systems of ordinary differential equations, Stability theory for ordinary differential equations, Transform methods for differential equations, Second-order boundary value problems.

s641 Pages
Ordinary Differential Equation by Alexander Grigorian

Ordinary Differential Equation by Alexander Grigorian

This note covers the following topics: Notion of ODEs, Linear ODE of 1st order, Second order ODE, Existence and uniqueness theorems, Linear equations and systems, Qualitative analysis of ODEs, Space of solutions of homogeneous systems, Wronskian and the Liouville formula.

s133 Pages
Differential Equations for Engineers

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.

s149 Pages
Ordinary Differential Equation Notes by S. Ghorai

Ordinary Differential Equation Notes by S. Ghorai

This note covers the following topics: Geometrical Interpretation of ODE, Solution of First Order ODE, Linear Equations, Orthogonal Trajectories, Existence and Uniqueness Theorems, Picard's Iteration, Numerical Methods, Second Order Linear ODE, Homogeneous Linear ODE with Constant Coefficients, Non-homogeneous Linear ODE, Method of Undetermined Coefficients, Non-homogeneous Linear ODE, Method of Variation of Parameters, Euler-Cauchy Equations, Power Series Solutions: Ordinary Points, Legendre Equation, Legendre Polynomials, Frobenius Series Solution, Regular Singular Point, Bessle Equation, Bessel Function, Strum Comparison Theorem, Orthogonality of Bessel Function, Laplace Transform, Inverse Laplace Transform, Existence and Properties of Laplace Transform, Unit step function, Laplace Transform of Derivatives and Integration, Derivative and Integration of Laplace Transform, Laplace Transform of Periodic Functions, Convolution, Applications.

sNA Pages
Introduction   to Partial Differential Equations

Introduction to Partial Differential Equations

Goal of this note is to develop the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from physics. Topics covered includes: Power Series, Symmetry and Orthogonality, Fourier Series, Partial Differential Equations, PDE’s in Higher Dimensions.

s169 Pages
Lectures   on Partial Differential Equations

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.

s123 Pages
Introduction   to Partial Differential Equations Lecture Notes

Introduction to Partial Differential Equations Lecture Notes

This lecture note introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. It includes mathematical tools, real-world examples and applications.

sNA Pages
Lectures on Differential Equations

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.

s175 Pages
Differential Equations by Paul Selick

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.

s174 Pages
Differential equations by Harry Bateman

Differential equations by Harry Bateman

Harry Bateman was a famous English mathematician. In writing this book he had endeavoured to supply some elementary material suitable for the needs of students who are studying the subject for the first time, and also some more advanced work which may be useful to men who are interested more in physical mathematics than in the developments of differential geometry and the theory of functions. The chapters on partial differential equations have consequently been devoted almost entirely to the discussion of linear equations.

s320 Pages
Linear Partial Differential Equations and Fourier Theory

Linear Partial Differential Equations and Fourier Theory

This is a textbook for an introductory course on linear partial differential equations (PDEs) and initial/boundary value problems (I/BVPs). It also provides a mathematically rigorous introduction to Fourier analysis  which is the main tool used to solve linear PDEs in Cartesian coordinates.

s619 Pages
Difference Equations to Differential Equations

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.

sNA Pages
Second Order Linear Differential Equations

Second Order Linear Differential Equations

This note contains problems and their solutions related to Second-Order Linear Differential Equations.

s10 Pages
A PDE Primer (Showalter R.E)

A PDE Primer (Showalter R.E)

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages

Advertisement