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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): Marcus Pivato
619 Pages 
Lecture Notes On Differential Equation by Dr.BhavinPatel
This note covers the following topics: Introduction to Differential Equations, Differential Equations of First Order and First Degree, Differential Equation of First order and Higher degree and Higher Order Linear Differential Equation.
Author(s): Dr.BhavinPatel, Gujarat University
51 Pages
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.
Author(s): Jeffrey R. Chasnov
149 Pages
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.
Author(s): Gabriel Nagy
431 Pages
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.
Author(s): Alexander Grigorian
133 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
A First Course in Elementary Differential Equations
This note covers the following topics: Qualitative Analysis, Existence and Uniqueness of Solutions to First Order Linear IVP, Solving First Order Linear Homogeneous DE, Solving First Order Linear Non Homogeneous DE: The Method of Integrating Factor, Modeling with First Order Linear Differential Equations, Additional Applications: Mixing Problems and Cooling Problems, Separable Differential Equations, Exact Differential Equations, Substitution Techniques: Bernoulli and Ricatti Equations, Applications of First Order Nonlinear Equations, One-Dimensional Dynamics, Second Order Linear Differential Equations, The General Solution of Homogeneous Equations, Existence of Many Fundamental Sets, Second Order Linear Homogeneous Equations with Constant, Coefficients, Characteristic Equations with Repeated Roots, The Method of Undetermined Coefficients, Applications of Nonhomogeneous Second Order Linear Differential Equations.
Author(s): Marcel B. Finan
213 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
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.
Author(s): Harry Bateman
320 Pages
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): Marcus Pivato
619 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
Ordinary Differential Equations and Dynamical Systems
The aim of this book is to give a self contained introduction to the field of ordinary differential equations with emphasis on the dynamical systems point of view while still keeping an eye on classical tools as pointed out before. Covered topics are: Newton’s equations, Classification of differential equations, First order autonomous equations, Qualitative analysis of first order equations, Initial value problems, Linear equations, Differential equations in the complex domain, Boundary value problems, Dynamical systems, Planar dynamical systems, Higher dimensional dynamical systems, Local behavior near fixed points, Chaos, Discrete dynamical systems, Discrete dynamical systems in one dimension, Periodic solutions, Chaos in higher dimensional systems.
Author(s): Gerald Teschl
364 Pages
An Introduction to Stochastic Differential Equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Analysis Tools with Applications and PDE Notes
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 Pages
Partial Differential Equations of Mathematical Physics
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Monograph on quasilinear partial differential equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages