Mathematics Books Differential Equations Books

Analytic differential equations

Analytic differential equations

Analytic differential equations

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A First Course in Elementary Differential Equations

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.

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Partial Differential Equations Lectures by Joseph M. Mahaffy

Partial Differential Equations Lectures by Joseph M. Mahaffy

This note introduces students to differential equations. Topics covered includes: Boundary value problems for heat and wave equations, eigenfunctionexpansions, Surm-Liouville theory and Fourier series, D'Alembert's solution to wave equation, characteristic, Laplace's equation, maximum principle and Bessel's functions.

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Elementary Differential Equations With Boundary Value Problems

Elementary Differential Equations With Boundary Value Problems

This 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.

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Numerical Solution of Differential Equations

Numerical Solution of Differential Equations

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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.

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Partial Differential Equations ebook

Partial Differential Equations ebook

This 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.

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Notes for Partial Differential Equations

Notes for Partial Differential Equations

These 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.

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Entropy and Partial Differential Equations

Entropy and Partial Differential Equations

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Monograph on quasilinear partial differential equations (EJDE)

Monograph on quasilinear partial differential equations (EJDE)

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An Introduction to Stochastic Differential Equations

An Introduction to Stochastic Differential Equations

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Analysis Tools with Applications and PDE Notes

Analysis Tools with Applications and PDE Notes

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

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

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A PDE Primer (Showalter R.E)

A PDE Primer (Showalter R.E)

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Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics

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Analytic differential equations

Analytic differential equations

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Monograph on quasilinear partial differential equations

Monograph on quasilinear partial differential equations

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