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This section contains free e-books and guides on Differential Equations, some of the resources in this section can be viewed online and some of them can be downloaded.

Differential Equations Books
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Notes on Partial Differential Equations

PDF | 224 Pages | English
This book covers the following topics: Laplace's equations, Sobolev spaces, Functions of one variable, Elliptic PDEs, Heat flow, The heat equation, The Fourier transform, Parabolic equations, Vector-valued functions and Hyperbolic equations.

 
Stochastic Differential Equations

PDF | 114 Pages | English
The note will develop an understanding of Brownian motion and continuous martingales in continuous time and explains the stochastic calculus and in particularly the use Itos formula.

 
Differential Equations by Peter Grindrod

PDF | 61 Pages | English
This note explains the following topics: differential equations and Picardís Theorem, Picardís Theorem for system via the CMP, Picard for Higher Order ODEs, Classification of 2nd order linear PDEs, The Parabolic equation, Laplace and Fourier Transforms.

 
Differential equations by Harry Bateman

Online | 320 Pages | English
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.

 
Mathematical Methods For Partial Differential Equations

Online | NA Pages | English
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.

 
Ordinary differential equations an elementary text book with an introduction to Lie's theory of the group of one parameter

Online | 264 Pages | English
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.

 
How to Solve Differential Equations (PDF 160P)
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
Harmonic Analysis and Partial Differential Equations
Integral And Differential Equations
Linear Partial Differential Equations and Fourier Theory
Difference Equations to Differential Equations
Ordinary Differential Equations and Dynamical Systems
Integral And Differential Equations
Notes on Differential Equations by Bob Terrell
Partial Differential Equations ebook
Ordinary Differential Equations
Partial Differential Equations
Partial Differential Equations pdf
Linear Differential Equations
Second Order Linear Differential Equations
DIFFERENTIAL EQUATIONS an Introduction
Notes for Partial Differential Equations
LINEAR DIFFERENTIAL EQUATIONS
Entropy and Partial Differential Equations
Monograph on quasilinear partial differential equations (EJDE)
Hilbert Space Methods for Partial Differential Equations
An Introduction to Stochastic Differential Equations
Differential Equations (Dawkins P)
Lectures Notes on Ordinary Differential Equations (Veeh J.A pdf)
PDE From a Probability Point of View(Bass R.F pdf)
Analysis Tools with Applications and PDE Notes
Entropy and Partial Differential Equations(Evans L.C pdf)
Notes for Partial Differential Equations(Kuttler K pdf)
Linear Partial Differential Equations and Fourier Theory(Kuttler K pdf)
A PDE Primer (Showalter R.E)
Partial Differential Equations of Mathematical Physics(Symes W.W pdf)
Linear Algebra and Differential Equations
Ordinary Differential Equations Sheldon
Partial Differential Equations of Mathematical Physics
Analytic differential equations
Exterior Differential Systems and Euler Lagrange Partial Differential Equations
Monograph on quasilinear partial differential equations
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