In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations.
Many important reference works in Banach space theory have appeared since Banach's "e;Theorie des Operations Lineaires"e;, the impetus for the development of much of the modern theory in this field.
More than a generation of German-speaking students around the world have worked their way to an understanding and appreciation of the power and beauty of modern theoretical physics-with mathematics, the most fundamental of sciences-using Walter Greiner's textbooks as their guide.
This book gives a new and direct approach into the theories of special functions with emphasis on spherical symmetry in Euclidean spaces of ar- bitrary dimensions.
Mathematics is playing an ever more important role in the physical and biologi- cal sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics.
Mathematics is playing an ever more important role in the physical and biological sciences, provo king a blurring of boundaries between scientific dis- ciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics.
As miniaturization deepens, and nanotechnology and its machines become more prevalent in the real world, the need to consider using quantum mechanical concepts to perform various tasks in computation increases.
The advent of relatively inexpensive but powerful computers is af- fecting practically all aspects of our lives, but some of the greatest influence is being felt in the physical sciences.
In various fields of science, notably in physics and biology, one is con- fronted with periodic phenomena having a remarkable temporal structure: it is as if certain systems are periodically reset in an initial state.
The idea for this book was developed in the seminar on problems of con- tinuum mechanics, which has been active for more than twelve years at the Faculty of Mathematics and Physics, Charles University, Prague.
Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.
Solitons are a well-known and intriguing aspect of nonlinear behavior in a continuous system such as a fluid: a wave propagates through the medium without distortion.
Based on courses taught at the University of Dublin, Carnegie Mellon University, and mostly at Simon Fraser University, this book presents the special theory of relativity from a mathematical point of view.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as weil as the clas- sical techniques of applied mathematics.
More than a generation of German-speaking students around the world have worked their way to an understanding and appreciation of the power and beauty of modem theoretical physics-with mathematics, the most fundamental of sciences-using WaIter Greiner's textbooks as their guide.
In the past few years, vertex operator algebra theory has been growing both in intrinsic interest and in the scope of its interconnections with areas of mathematics and physics.
Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics.
Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics.
Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups.
For more than two decades percolation theory, random walks, interacting parti- cle systems and topics related to statistical mechanics have experienced inten- sive growth.
In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometry and analysis.
