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Cambridge University Press One-Dimensional Heat Equation - Cambridge Mathematics Encyclopedia

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Description

This comprehensive treatise on heat equations builds on Gevrey's classical work, presenting both theoretical foundations and practical applications. The volume covers initial and boundary value problems, numerical methods for solving heat equations, free boundary problems, and parameter determination techniques. Structured as both a scholarly monograph and reference guide, the first six chapters establish standard classical theory before transitioning to self-contained units that can be read independently. Each chapter after the introductory material stands alone whilst maintaining accessible connections to earlier definitions, theorems and lemmas. Whether used for advanced study or professional reference, this Cambridge University Press publication provides rigorous mathematical treatment suitable for researchers, mathematicians and engineers working with heat equation applications across physics, engineering and applied mathematics.

Key Features

Covers initial and boundary value problems for heat equations with detailed mathematical formulations and solution methods.

Includes numerical methods chapter addressing computational approaches to solving one-dimensional heat equation problems.

Examines free boundary problems where the domain changes over time, extending classical heat equation theory.

Presents parameter determination problems for identifying unknown coefficients and conditions from physical data.

Self-contained chapter structure after the first six introductory chapters allows independent study of advanced topics.

Published by Cambridge University Press as part of the Encyclopedia of Mathematics and Its Applications Series Number 23.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
28 December 1984
Listed Since
12 January 2007

Barcode

No barcode data available

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