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£92.48

Birkhauser Heat Kernel Method and its Applications

Name: Heat Kernel Method and its Applications
Brand: Birkhauser
Price: 92.48 GBP
Availability: InStock

Differential Equations

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Description

The heart of the book is the development of a short-time asymptotic expansion for the heat kernel. This is explained in detail and explicit examples of some advanced calculations are given. In addition some advanced methods and extensions, including path integrals, jump diffusion and others are presented. The book consists of four parts: Analysis, Geometry, Perturbations and Applications. The first part shortly reviews of some background material and gives an introduction to PDEs. The second part is devoted to a short introduction to various aspects of differential geometry that will be needed later. The third part and heart of the book presents a systematic development of effective methods for various approximation schemes for parabolic differential equations. The last part is devoted to applications in financial mathematics, in particular, stochastic differential equations. Although this book is intended for advanced undergraduate or beginning graduate students in, it should also provide a useful reference for professional physicists, applied mathematicians as well as quantitative analysts with an interest in PDEs.

Product Specifications

Brand: Birkhauser
Format: hardcover
ASIN: 3319262653
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 15 December 2015
Listed Since: 24 September 2015

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Birkhauser Heat Kernel Method and its Applications

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