书目名称 | Numerical Methods for Partial Differential Equations |
编辑 | Gwynne A. Evans,Jonathan M. Blackledge,Peter D. Ya |
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概述 | THIS BOOK IS THE COMPANION VOLUME TO ANALYTIC METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS..THE EMPHASIS IS ON THE PRACTICAL SOLUTION OF PROBLEMS RATHER THAN THE THEORETICAL BACKGROUND * CONTAINS NUMERO |
丛书名称 | Springer Undergraduate Mathematics Series |
图书封面 |  |
描述 | The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier‘s famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. James Clerk Maxwell, for example, put electricity and magnetism into a unified theory by establishing Maxwell‘s equations for electromagnetic theory, which gave solutions for prob lems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger‘s equation for quantum mechanical processes at the atomic level leads to experimentally verifiable result |
出版日期 | Textbook 2000 |
关键词 | Derivative; Eigenvalue; differential equation; eigenvector; finite element method; functional analysis; hy |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4471-0377-6 |
isbn_softcover | 978-3-540-76125-9 |
isbn_ebook | 978-1-4471-0377-6Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
issn_series | 1615-2085 |
copyright | Springer-Verlag London 2000 |