Part of Encyclopedia of Mathematics and its Applications
Product details
Publication planned for: June 2018
format: Hardback
isbn: 9781107188822
dimensions: 234 x 156 mm
contains: 5 b/w illus.
availability: Not yet published - available from June 2018
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.
1. p-adic analysis: essential ideas and results
2. Ultrametric geometry: cluster networks and buildings
3. p-adic wavelets
4. Ultrametricity in theory of complex systems
5. Some applications of wavelets and integral operators
6. p-adic and ultrametric models in geophysics
7. Recent development of theory of p-adic dynamical systems
8. Parabolic-type equations, Markov processes, and models of complex hierarchic systems
9. Stochastic heat equation driven by Gaussian noise
10. Sobolev-type spaces and pseudodifferential operators
11. Non-archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields
12. Heat traces and spectral zeta functions for p-adic laplacians
References
Index.
Part of Cambridge Mathematical Textbooks
Product details
Publication planned for: August 2018
format: Hardback
isbn: 9781107177901
dimensions: 253 x 177 mm
availability: Not yet published - available from August 2018
Linear Algebra offers a unified treatment of both matrix-oriented and theoretical approaches to the course, which will be useful for classes with a mix of mathematics, physics, engineering, and computer science students. Major topics include singular value decomposition, the spectral theorem, linear systems of equations, vector spaces, linear maps, matrices, eigenvalues and eigenvectors, linear independence, bases, coordinates, dimension, matrix factorizations, inner products, norms, and determinants.
1. Linear Systems And Vector Spaces
2. Linear Maps And Matrices
3. Linear Independence, Bases, And Coordinates
4. Inner Products
5. Singular Value Decomposition And The Spectral Theorem
6. Determinants
Hardcover
Publication Date: 2017
To be published: November 2017
ISBN 978-3-11-057148-6
The aim of this book is to present recent results in both theoretical and applied knot theory?which are at the same time stimulating for leading researchers in the ?eld as well as accessible to non-experts. The book comprises recent research results while covering a wide range of di?erent sub-disciplines, such as the young ?eld of geometric knot theory, combinatorial knot theory, as well as applications in microbiology and theoretical physics.
Details
24.0 x 17.0 cm
Approx.200pages
Language: English
Type of Publication: Monograph
Series:De Gruyter Textbook
Paperback
Publication Date: 2018
To be published: December 2017
ISBN 978-3-11-055119-8
From basic Algebra to Super-symmetry.
Uses Mathematica (code available online) for group-theoretical constructions.
Includes a variety of physical examples from crystallography, atomic physics, cosmology and field theory.
Groups and Manifolds is an introduction to the mathematics of symmetry with a variety of examples for physicists. It covers both classical symmetry as seen in crystallography as well as the mathematical concepts used in super-symmetric field theories. After a basic introduction of group theory, Lie algebras and a basic notion of differential geometry are discussed. Group-theoretical constructions are done using Mathematica.
Details 24.0 x 17.0 cm
xxi, 475pages
93 Fig. 11 Tables
Language: English
Type of Publication: Textbook
A publication of the Societe Mathematique de France
This volume presents an overview of the research in real algebraic geometry. The volume contains an introduction and five survey articles. The topics are real rational surfaces, o-minimal geometry, analytic arcs and real analytic singularities, algorithms in real algebraic geometry, positive polynomials, and sums of squares.
Panoramas et Syntheses Volume: 51
2017; 180 pp; Softcover
MSC: Primary 03; 11; 14; 26; 32; 68;
Print ISBN: 978-2-85629-857-2
Anyone interested in real algebraic geometry.