This book communicates some contemporary mathematical and statistical developments in river basin hydrology as they pertain to space-time rainfall, spatial landform and network structures and their role in understanding averages and fluctuations in the hydrologic water balance of river basins.
Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders.
In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field.
The present book, Chaos and Fractals in Engineering, is written for all engineers and experts or graduate students or beginners working in the application fields, and for experimental scientists in general.
This volume describes many of the key practical theoretical techniques that have been developed to treat chemical dynamics problems in many-atom systems.
This book, an outgrowth of the author's distinguished lecture series in Japan in 1995, identifies and describes current results and issues in certain areas of computational fluid dynamics, mathematical physics, and linear algebra.
This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models.
This book provides a concise description of the current status of a fascinating scientific problem - the inverse variational problem in classical mechanics.
This book has been designed for a one-year graduate course on boundary value problems for students of mathematics, engineering, and the physical sciences.
The volume contains twelve papers dealing with the approximation of first and second order problems which arise in many fields of application including optimal control, image processing, geometrical optics and front propagation.
This book addresses the theoretical, phenomenological and experimental aspects of supersymmetry in particle physics as well as its implications in cosmology.
This volume presents the following topics: non-Abelian Toda models, brief remarks for physicists on equivariant cohomology and the Duistermaat-Heckman formula, Casimir effect, quantum groups and their application to nuclear physics, quantum field theory, quantum gravity and the theory of extended objects, and black hole physics and cosmology.
Superstring theory and its successor, M-theory, hold promises of a deeper understanding of the Standard Model of particle physics, the unification of the four fundamental forces, the quantum theory of gravity, the mysteries of quantum black holes, Big Bang cosmology and, ultimately, their complete synthesis in a final theory of physics.
In this volume, topics such as the AdS/CFT correspondence, non-BPS states, noncommutative gauge theories and the Randall-Sundrum scenario are discussed.
Over the last decade the theory of quantum information has developed into an important and active research area in mathematics, physics and other fields of science.
This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively.
During the last five years, after the first meeting on "e;Quaternionic Structures in Mathematics and Physics"e;, interest in quaternionic geometry and its applications has continued to increase.
The Nagoya 2000 International Workshop gathered together a group of scientists actively working in combinatorics, representation theory, special functions, number theory and mathematical physics, to acquaint the participants with some basic results in their fields and to discuss existing and possible interactions between the mentioned subjects.
On April 20, 1951, Leon Van Hove presented his thesis "e;Sur certaines representations unitaires d'un groupe infini de transformations' to the Universite libre de Bruxelles (Free University of Brussels), two days before the University of Grenoble had approved the creation of L'Ecole d'ete de physique theorique at Les Houches (Haute Savoie, France).
The International Conference on Fundamental Sciences: Mathematics and Theoretical Physics provided a forum for reviewing some of the significant developments in mathematics and theoretical physics in the 20th century; for the leading theorists in these fields to expound and discuss their views on new ideas and trends in the basic sciences as the new millennium approached; for increasing public awareness of the importance of basic research in mathematics and theoretical physics; and for promoting a high level of interest in mathematics and theoretical physics among school students and teachers.
New Edition: Electromagnetic Analysis Using Transmission Line Variables (3rd Edition)Problems in electromagnetic propagation, especially those with complex geometries, have traditionally been solved using numerical methods, such as the method of finite differences.
Noncommutative algebras, rings and other noncommutative objects, along with their more classical commutative counterparts, have become a key part of modern mathematics, physics and many other fields.
Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics.
This book addresses issues of scattering theory and biomedical engineering, as well as methodological approaches and tools from related scientific areas such as applied mathematics, mechanics, numerical analysis, and signal and image processing.
Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful.
This series of volumes on the "e;Frontiers of Computational Fluid Dynamics"e; was introduced to honor contributors who have made a major impact on the field.