Starting from physical motivations and leading to practical applications, this book provides an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential equations. It shows the ways in which these equations link different fields including mathematics, engineering, and geophysics. In particular, the authors provide a detailed explanation of the geophysical applications of p-adic diffusion equations, useful when modeling the flows of liquids through porous rock. p-adic wavelets theory and p-adic pseudodifferential equations are also presented, along with their connections to mathematical physics, representation theory, the physics of disordered systems, probability, number theory, and p-adic dynamical systems. Material that was previously spread across many articles in journals of many different fields is brought together here, including recent work on the van der Put series technique. This book provides an excellent snapshot of the fascinating field of ultrametric pseudodifferential equations, including their emerging applications and currently unsolved problems.
| ISBN: | 9781107188822 |
| Publication date: | 26th April 2018 |
| Author: | Andrei Yu Linnéuniversitetet, Sweden Khrennikov, Sergei V Steklov Institute of Mathematics, Moscow Kozyrev, ZúñigaGalind |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 250 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Differential calculus and equations Functional analysis and transforms Number theory Quantum physics (quantum mechanics and quantum field theory) Geophysics |
Starting from physical motivations and leading to practical applications, this book provides an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential equations. It shows the ways in which these equations link different fields including mathematics, engineering, and geophysics. In particular, the authors provide a detailed explanation of the geophysical applications of p-adic diffusion equations, useful when modeling the flows of liquids through porous rock. p-adic wavelets theory and p-adic pseudodifferential equations are also presented, along with their connections to mathematical physics, representation theory, the physics of disordered systems, probability, number theory, and p-adic dynamical systems. Material that was previously spread across many articles in journals of many different fields is brought together here, including recent work on the van der Put series technique. This book provides an excellent snapshot of the fascinating field of ultrametric pseudodifferential equations, including their emerging applications and currently unsolved problems.
Ultrametric Pseudodifferential Equations and Applications features in the following genres: Differential calculus and equations, Functional analysis and transforms, Number theory, Quantum physics (quantum mechanics and quantum field theory), Geophysics
Ultrametric Pseudodifferential Equations and Applications is available in Hardback
Ultrametric Pseudodifferential Equations and Applications was written by Andrei Yu Linnéuniversitetet, Sweden Khrennikov, Sergei V Steklov Institute of Mathematics, Moscow Kozyrev, ZúñigaGalind and published by Cambridge University Press
Ultrametric Pseudodifferential Equations and Applications has 250 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£108.90