- Forest of Doom.
- Classical Potential Theory.
- AMS :: Khavinson: Linear Holomorphic Partial Differential Equations and Classical Potential Theory.
- Back Home (A Puffin Book)?
- Lunar Gravimetry: Revealing the Far-Side;
- Linear Holomorphic Partial Differential Equations and Classical Potential Theory.
- Cross Section Data;
Gardiner Published DOI: Harmonic Functions. Laplace's equation. The mean value property. The Poisson integral for a ball. Harnack's inequalities. Families of harmonic functions: convergence properties. The Kelvin transform. Harmonic functions on half-spaces. Real-analyticity of harmonic functions.
Harmonic Polynomials. Spaces of homogeneous polynomials. Another inner product on a space of polynomials. View via Publisher.
Classical Potential Theory, Book by David H. Armitage (Paperback) | duqehovy.tk
Save to Library. Refresh your browser page to run scripts and reload content. Click the Internet Zone. If you do not have to customize your Internet security settings, click Default Level. Then go to step 5. Click OK to close the Internet Options popup.
- Additional Material for the Book.
- The Cauchy Transform, Potential Theory and Conformal Mapping.
- Drama Is Optional: A Guide For Teens?
Classical Potential Theory by David H. Armitage , Stephen J. Gardiner Paperback October 4, Prices and offers may vary in store. From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research. This book provides a comprehensive treatment of classical potential theory: it covers harmonic and subharmonic functions, maximum principles, polynomial expansions, Green functions, potentials and capacity, the Dirichlet problem and boundary integral representations. The first six chapters deal concretely with the basic theory, and include exercises.
The final three chapters are more advanced and treat topological ideas specifically created for potential theory, such as the fine topology, the Martin boundary and minimal thinness. The presentation is largely self-contained and is accessible to graduate students, the only prerequisites being a reasonable grounding in analysis and several variables calculus, and a first course in measure theory.
Classical potential theory
The book will prove an essential reference to all those with an interest in potential theory and its applications. Customer Reviews of Classical Potential Theory. Select Parent Grandparent Teacher Kid at heart. Age of the child I gave this to:. Hours of Play:.
Tell Us Where You Are:. Preview Your Review. Thank you.
Your review has been submitted and will appear here shortly. Extra Content. Table of Contents 1. Harmonic Functions. Laplace's equation. The mean value property. The Poisson integral for a ball. Harnack's inequalities. Families of harmonic functions: convergence properties.
The Kelvin transform. Harmonic functions on half-spaces. Real-analyticity of harmonic functions. Harmonic Polynomials. Spaces of homogeneous polynomials. Another inner product on a space of polynomials.
Recommended for you
Axially symmetric harmonic polynomials. Polynomial expansions of harmonic functions. Laurent expansions of harmonic functions. Harmonic approximation. Harmonic polynomials and classical polynomials. Subharmonic Functions. Elementary properties.
Criteria for subharmonicity. Approximation of subharmonic functions by smooth ones. Convexity and subharmonicity. Mean values and subharmonicity. Harmonic majorants. Families of subharmonic functions: convergence properties. Green functions.
The distributional Laplacian.