Mathematical physics

Julian Schwinger was already the world's leading nuclear theorist when he joined the Radiation Laboratory at MIT in 1943, at the ripe age of 25.

While usual presentations of physical theories emphasize the notion of physical quantity, this book shows that there is much to gain when introducing the notion of physical quality.

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This textbook provides an exposition of equilibrium thermodynamics and its applications to several areas of physics with particular attention to phase transitions and critical phenomena.

The field of computational fluid dynamics (CFD) has already had a significant impact on the science and engineering of fluid dynamics, ranging from a role in aircraft design to enhancing our understanding of turbulent flows.

This Brief is an essay at the interface of philosophy and complexity research, trying to inspire the reader with new ideas and new conceptual developments of cellular automata.

From the foreword to the third edition written by Charles Meneveau: "e;.

Model integration - the process by which different modelling efforts can be brought together to simulate the target system - is a core technology in the field of Systems Biology.

This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours.

An important part of the science of complexity is the study of emergent properties arising through dynamical processes in various types of natural and artificial systems.

This book, written by two well-known scientists, represents an excellent ad- dition to the Springer Series in Synergetics in several ways.

This textbook explores differential geometrical aspects of the theory of completely integrable Hamiltonian systems.

This textbook explores differential geometrical aspects of the theory of completely integrable Hamiltonian systems.

The first edition of this book has found great interest among scientists and en- gineers dealing with pattern recognition and among psychologists working on psychophysics or Gestalt psychology.

One common characteristics of a complex system is its ability to withstand major disturbances and the capacity to rebuild itself.

This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics.

Effective evacuation of people from closed spaces is an extremely important topic, since it can save real lives in emergency situations that can be brought about by natural and human made disasters.

One of the most striking features of Coordination Dynamics is its interdisciplinary character.

Computational Science is the scientific discipline that aims at the development and understanding of new computational methods and techniques to model and simulate complex systems.

This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems.

Adding one and one makes two, usually.

By now, most academics have heard something about the new science of complexity.

This monograph is devoted to a new approach to an old field of scientific investigation, freeway traffic research.

We present an improved and enlarged version of our book Nonlinear - namics of Chaotic and Stochastic Systems published by Springer in 2002.

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Grid technology whose achievements have significant impact on the efficiency of numerical codes still remains a rapidly advancing field of computational and applied mathematics.

This book addresses a subject at the crossing point of two lines of investi- gation - synergetics and modern nonlinear optics.

From the reviews of the first edition: "e;This book is directed to graduate students and research workers interested in the numerical solution of problems of fluid dynamics, primarily those arising in high speed flow.

General circulation models (GCMs), which define the fundamental dynamics of atmospheric circulation, are nowadays used in various fields of atmospheric science such as weather forecasting, climate predictions and environmental estimations.

Computational Science is the scienti?

Still today, turbulence in fluids is considered as one of the most difficult problems of modern physics.

Cities first came into existence more than five thousand years ago.

Grid generation codes represent an indispensable tool for solving field prob- lems in nearly all areas of applied mathematics.

The development of a proper description of the living world today stands as one of the most significant challenges to physics.

Higher cognition and consciousness became the objective of intensive scienti?

Addressing students and researchers as well as CFD practitioners, this book describes the state of the art in the development of high-resolution schemes based on the Flux-Corrected Transport (FCT) paradigm.

Contrary to monographs on non-linear optics this book concentrates on problems of self-organization in various important contexts.

The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well.

Emergence and complexity refer to the appearance of higher-level properties and behaviours of a system that obviously comes from the collective dynamics of that system's components.

This book is intended to serve as an introduction to the multidisciplinary ?

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Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics.

Computational Science is the scienti?