The Mathematics of Diffusion

ISBN: 9780198534112

出版社: Oxford Univ Pr

出版年: 1980-3

页数: 424

定价: $ 141.25

装帧: Pap

内容简介

This classic diffusion text continues where many other texts end, and covers a broad variety of problem types. This is an excellent resource for diffusion solutions for less-common boundary conditions and assumptions, including thorough mathematical developments of the solutions and many references to the original works. Non-mathematicians will often need to roll up their sleeves to digest portions of the derivations, but the insight into the solution processes is often very revealing. This makes this book an invaluable reference, although it is probably not well suited as your only book on diffusion.

作者简介

John Crank (6 February 1916 – 3 October 2006) was a mathematical physicist, best known for his work on the numerical solution of partial differential equations.

Crank was born in Hindley in Lancashire. His father was a carpenter's pattern-maker. Crank studied at Manchester University from 1934 to 1938, where he was awarded a B.Sc. and M.Sc., as a student of Lawrence Bragg and Douglas Hartree. Later, in 1953, Manchester University awarded him with a D.Sc.

Crank did work on ballistics during the Second World War, and was then a mathematical physicist at Courtaulds Fundamental Research Laboratory from 1945 to 1957. In 1957, he was appointed as the first Head of Department of Mathematics at Brunel College in Acton (which later became Brunel University). He served two terms of office as Vice-Principal of Brunel before his retirement in 1981, when he was granted the title of Professor Emeritus.

Crank's main work was on the numerical solution of partial differential equations and, in particular, the solution of heat-conduction problems. He is best known for his work with Phyllis Nicolson on the heat equation, which resulted in the Crank-Nicolson method.

He was a keen gardener and established the John Crank Garden as a retirement gift to Brunel University. He was married to his wife, Joan, for 63 years. She died in 2005, but he was survived by their two children.

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