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Springer Solutions of Laplace's Equation - Mathematics Library

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Description

Solutions of Laplace's Equation from the Springer Library of Mathematics provides a clear introduction to Laplace's equation and its many solutions. This text serves as a foundational guide for understanding the general methods used to treat partial differential equations in mathematical studies. Readers will explore how Laplace's equation arises for steady fields that are both irrotational and solenoidal through a discussion of vector fields. The book guides you through the method of separation of variables, which allows for the reduction of Laplace's equation in different coordinate systems into three ordinary differential equations. By following the structured chapters, you can gain a better understanding of how to solve these equations effectively. This resource is designed for those seeking a systematic approach to partial differential equations and the mathematical principles that govern steady fields.

Key Features

Introduction to Laplace's equation and its various solutions for mathematical study.

Comprehensive overview of the general methods used for treating partial differential equations.

Detailed discussion on vector fields and how they relate to irrotational and solenoidal steady fields.

Instruction on the method of separation of variables to simplify complex equations.

Guidance on reducing Laplace's equation in different coordinate systems into ordinary differential equations.

Focused analysis on the solutions of specific ordinary differential equations across multiple chapters.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
12 May 1961
Listed Since
30 September 2005

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