Mathematics Books Differential Equations Books

Entropy and Partial Differential Equations(Evans L.C pdf)

Entropy and Partial Differential Equations(Evans L.C pdf)

Entropy and Partial Differential Equations(Evans L.C pdf)

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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
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
Introduction to Differential Equations

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.

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Ordinary and Partial Differential Equations

Ordinary and Partial Differential Equations

This note explains the following topics: Existence and Uniqueness, Systems, Stability, Sturm-Liouville Theory, First Order, Quasi-Linear, Classification, Hyperbolic Problems, Elliptic Problems, Parabolic Problems.

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Notes on Partial Differential Equations

Notes on Partial Differential Equations

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.

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

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.

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Harmonic Analysis and Partial Differential Equations

Harmonic Analysis and Partial Differential Equations

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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.

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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.

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Partial Differential Equations pdf

Partial Differential Equations pdf

This note covers the following topics: Model Problems, finite Difference Methods, Matrix Representation, Numerical Stability, The L-Shaped Membrane.

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Second Order Linear Differential Equations

Second Order Linear Differential Equations

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

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Linear Differential Equations

Linear Differential Equations

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.

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Monograph on quasilinear partial differential equations (EJDE)

Monograph on quasilinear partial differential equations (EJDE)

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Lectures Notes on Ordinary Differential Equations (Veeh J.A pdf)

Lectures Notes on Ordinary Differential Equations (Veeh J.A pdf)

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Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics

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Exterior Differential Systems and Euler Lagrange Partial Differential   Equations

Exterior Differential Systems and Euler Lagrange Partial Differential Equations

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