A01=Michael Shearer
A01=Rachel Levy
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Author_Michael Shearer
Author_Rachel Levy
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Boundary value problem
Burgers' equation
Calculation
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Cauchy problem
Change of variables
Coefficient
Combination
Conservation law
Continuous function
Convection-diffusion equation
Convergence of Fourier series
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Derivative
Differentiable function
Differential operator
Dimension
Dirichlet boundary condition
Distribution (mathematics)
Divergence theorem
Division by zero
Eigenfunction
Eigenvalues and eigenvectors
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Equation
Explicit formulae (L-function)
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Function space
Fundamental solution
Green's function
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Heat equation
Hilbert space
Hyperbolic partial differential equation
Initial condition
Initial value problem
Integration by parts
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Laplace's equation
Lebesgue measure
Linear combination
Linear differential equation
Linear equation
Mathematics
Maximum principle
Measurable function
Method of characteristics
Neumann boundary condition
Nonlinear system
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Partial derivative
Partial differential equation
Poisson's equation
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Rarefaction
Rarefaction (ecology)
Riemann problem
Riesz representation theorem
Series (mathematics)
Smoothness
Sobolev space
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Summation
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Taylor series
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Theory
Two-dimensional space
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Product details
- ISBN 9780691161297
- Weight: 709g
- Dimensions: 178 x 254mm
- Publication Date: 01 Mar 2015
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs.
* Provides an accessible yet rigorous introduction to partial differential equations* Draws connections to advanced topics in analysis* Covers applications to continuum mechanics* An electronic solutions manual is available only to professors* An online illustration package is available to professors
Michael Shearer is professor of mathematics at North Carolina State University. He is a fellow of the American Mathematical Society. Rachel Levy is associate professor of mathematics at Harvey Mudd College. She is a recipient of the 2013 Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Faculty Member and creator of the Grandma Got STEM project.
