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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.
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Introduction to Ordinary and Partial Differential EquationsWen ShenPDF | 234 Pages | EnglishThis note
covers the following topics: Classification of Differential Equations, First
Order Differential Equations, Second Order Linear Equations, Higher Order Linear
Equations, The Laplace Transform, Systems of Two Linear Differential Equations,
Fourier Series, Partial Differential Equations.
| Introduction to Ordinary Differential Equations and Some ApplicationsEdward
BurkardPDF | 125 Pages | EnglishThis note explains the following topics: First-Order Differential
Equations, Second-Order Differential Equations, Higher-Order Differential
Equations, Some Applications of Differential Equations, Laplace Transformations,
Series Solutions to Differential Equations, Systems of First-Order Linear
Differential Equations and Numerical Methods.
| Lectures on Differential EquationsCraig A. TracyPDF | 175 Pages | EnglishThis 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.
| Differential Equations by Paul SelickPaul SelickPDF | 174 Pages | EnglishThis 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.
| Elementary Differential Equations With Boundary Value ProblemsWilliam F.
TrenchPDF | 806 Pages | EnglishThis 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.
| Introduction to Differential EquationsJeffrey
R. ChasnovPDF | 128 Pages | EnglishThis 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.
| Numerical Solution of Differential EquationsUniversity of OxfordOnline | NA Pages | EnglishThis note
gives an understanding of numerical methods for the solution of ordinary and
partial differential equations, their derivation, analysis and applicability.
| Ordinary and Partial Differential EquationsLawrence
Schovanec And David GilliamOnline | NA Pages | EnglishThis note explains the following topics: Existence
and Uniqueness, Systems, Stability, Sturm-Liouville Theory, First Order,
Quasi-Linear, Classification, Hyperbolic Problems, Elliptic Problems, Parabolic
Problems.
| Notes on Partial Differential EquationsJohn K. HunterPDF | 224 Pages | EnglishThis 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.
| Differential equations by Harry BatemanHarry BatemanOnline | 320 Pages | EnglishHarry 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 EquationsJohn Henry HeinbockelOnline | NA Pages | EnglishThese
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 parameterJames MorrisOnline | 264 Pages | EnglishThis
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.
| | Harmonic Analysis and Partial Differential Equations | Integral And Differential EquationsProfessor
Jim HerodOnline | NA Pages | EnglishThis book covers the following topics: Geometry and a Linear Function,
Fredholm Alternative Theorems, Separable Kernels, The Kernel is Small, Ordinary
Differential Equations, Differential Operators and Their Adjoints, G(x,t) in the
First and Second Alternative and Partial Differential Equations.
| Linear Partial Differential Equations and Fourier TheoryMarcus
PivatoPDF | 619 Pages | EnglishThis 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.
| Difference Equations to Differential EquationsDan
Sloughter, Furman UniversityOnline | NA Pages | EnglishThis 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.
| Ordinary Differential Equations and Dynamical SystemsGerald
TeschlPDF | 364 Pages | EnglishThe 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.
| Integral And Differential EquationsProfessor
Jim HerodOnline | NA Pages | EnglishThis note covers the following topics: Integral Equations, Ordinary
Differential Equations, Partial Differential Equations.
| | Partial Differential Equations ebookJ.
NearingPDF | 25 Pages | EnglishThis note covers the following topics
related to Partial Differential Equations: The Heat Equation, Separation
of Variables, Oscillating Temperatures, Spatial Temperature Distributions, The
Heat Flow into the Box, Specified Heat Flow, Electrostatics, Cylindrical
Coordinates.
| Ordinary Differential EquationsJ.
NearingPDF | 33 Pages | EnglishThis note covers the following topics related to Ordinary
Differential Equations: Linear Constant-Coefficient, Damped Oscillator, Forced Oscillations, Series Solutions,
Trigonometry via ODE's, Green's Functions, Separation of Variables, Circuits,
Simultaneous Equations, Simultaneous ODE's, Legendre's Equation, Asymptotic
Behavior.
| Partial Differential Equations pdfDavid
W. WalkerPDF | 21 Pages | EnglishThis note covers the following topics: Model Problems, finite Difference Methods,
Matrix Representation, Numerical Stability, The L-Shaped Membrane.
| Linear Differential EquationsL.
Boutet de MonvelPDF | 26 Pages | EnglishThis 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.
| | Notes for Partial Differential EquationsErich
MiersemannPDF | 205 Pages | EnglishThese lecture notes are intended as a straightforward introduction to
partial differential equations which can serve as a textbook for undergraduate
and beginning graduate students. Topics covered includes: Equations of first
order, Classification, Hyperbolic equations, Fourier transform, Parabolic
equations and Elliptic equations of second order.
| Linear Differential EquationsJerome
DancisPDF | 43 Pages | EnglishThese 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.
| Entropy and Partial Differential EquationsLawrence
C. EvansPDF | 213 Pages | EnglishThis note covers the following topics: Entropy and equilibrium, Entropy
and irreversibility, Continuum thermodynamics, Elliptic and parabolic equations,
Conservation laws and kinetic equations, Hamilton–Jacobi and related equations,
Entropy and uncertainty, Probability and differential equations.
| | Monograph on quasilinear partial differential equations (EJDE) | | 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) | | A PDE Primer (Showalter R.E) | | Partial Differential Equations of Mathematical Physics(Symes W.W pdf) | | 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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