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Classical Mathematical Physics, 3e
Walter Thirring
0387406158
Oct 2003
Paperback
·
 
Book Description
This volume combines the enlarged and corrected editions of both volumes on classical physics of Thirring's famous course in mathematical physics. With numerous examples and remarks accompanying the text, it is suitable as a textbook for students in physics, mathematics, and applied mathematics. The treatment of classical dynamical systems uses analysis on manifolds to provide the mathematical setting for discussions of Hamiltonian systems, canonical transformations, constants of motion, and pertubation theory. Problems discussed in considerable detail include: nonrelativistic motion of particles and systems, relativistic motion in electromagnetic and gravitational fields, and the structure of black holes. The treatment of classical fields uses the language of differenial geometry throughout, treating both Maxwell's...


Ubiquity: Why Catastrophes Happen
Mark Buchanan
0609809989
November 2002
Paperback
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Book Description
Why do catastrophes happen? What sets off earthquakes, for example? What about mass extinctions of species? The outbreak of major wars? Massive traffic jams that seem to appear out of nowhere? Why does the stock market periodically suffer dramatic crashes? Why do some forest fires become superheated infernos that rage totally out of control?

Experts have never been able to explain the causes of any of these disasters. Now scientists have discovered that these seemingly unrelated cataclysms, both natural and human, almost certainly all happen for one fundamental reason. More than that, there is not and never will be any way to predict them.

Critically acclaimed science journalist Mark Buchanan tells the fascinating story of the discovery that there is a natural structure of instability woven into the...


Foundations of Complex-System Theories: In Economics, Evolutionary Biology and Statistical Physics
Sunny A. Auyang
0521778263
September 1999
Paperback
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Review
'The book is comprehensive and interesting to read. ... this book will certainly be useful for anyone interested in understanding complex systems.' Physics World
'... extraordinarily thoughtful and interesting ... it's beautifully written - simple, crisp, clear, and perceptive ...'. John Ziman, Interdisciplinary Science Reviews

Review
"...gives a refreshing and general look at methods for studying complex systems." Journal of Statistical Physics

"This is a marvelous book....Auyang repeatedly points out how a rigorous examination of the nature of human knowledge reveals a collection of highly competent parts, which appear to be beyond integration or perhaps even beyond consistency." Mathematical Reviews

See all Editorial Reviews



Classical Mathematical Physics
Walter Thirring
0387948430
Jan 2003
Hardcover
·
 
Book Description
This volume combines the enlarged and corrected editions of both volumes on classical physics of Thirring's famous course in mathematical physics. With numerous examples and remarks accompanying the text, it is suitable as a textbook for students in physics, mathematics, and applied mathematics. The treatment of classical dynamical systems uses analysis on manifolds to provide the mathematical setting for discussions of Hamiltonian systems, canonical transformations, constants of motion, and pertubation theory. Problems discussed in considerable detail include: nonrelativistic motion of particles and systems, relativistic motion in electromagnetic and gravitational fields, and the structure of black holes. The treatment of classical fields uses the language of differenial geometry throughout, treating both...


Physics of Complex Systems, Vol. 134
F. Mallamace (Editor)
905199351X
January 1997
Hardcover
·
 
Book Description
This volume focuses on the area of the physics of complex systems and provides both an overview of the field and more detailed examination of those topics within the field that are currently of greatest interest to researchers . The properties of complex systems play an important role in a variety of different and overlapping areas in physics, chemistry, biology, mathematics and technology. The research field of complex systems is very broad, but this volume attempts to be comprehensive. This book should be useful reference work for people who do research in this area, whether beginning graduate students or advanced research professionals. Up-to- date reviews of cutting-edge topics are provided, reviews compiled by leading authorities and designed to both broaden the reader's limits of competence within the reader's...


General System Theory
Ludwig Von Bartalanffy
0807604534
March 1969
Paperback
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Nonlinear Stochastic Systems Theory and Application to Physics
Gorge Adomian
1402003382
Jan 2002
Paperback
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The Physics of Complex Systems: New Advances and Perspectives, Vol. 155
IOS Press
1586034456
January 2004
Hardcover
·
 
Book Description
This volume focuses on the area of the physics of complex systems and provides both an overview of the field and more detailed examination of those topics within the field that are currently of greatest interest to researchers . The properties of complex systems play an important role in a variety of different and overlapping areas in physics, chemistry, biology, mathematics and technology. The research field of complex systems is very broad, but this volume attempts to be comprehensive. This book should be useful reference work for people who do research in this area, whether beginning graduate students or advanced research professionals. Up-to- date reviews of cutting-edge topics are provided, reviews compiled by leading authorities and designed to both broaden the reader's limits of competence within the reader's...


Frontiers In Number Theory, Physics, And Geometry I
Pierre Cartier
3540231897
Mar 2006
Hardcover
·
 
Book Description
The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2-week event focused on the broader interface of number theory, geometry, and physics. This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists. The present volume has three parts: Random matrices, Zeta functions, Dynamical systems. The companion volume is subtitled: On Conformal Field Theories, Discrete Groups and Renormalization and will be...


Characteristics of Distributed-Parameter Systems: Handbook of Equations of Mathematical Physics and Distributed-Parameter Systems
A. G. Butkovski¿i
0792324994
April 2002
Hardcover
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Book Description
This volume is a handbook which contains data dealing with the characteristics of systems with distributed and lumped parameters. Some two hundred problems are discussed and, for each problem, all the main characteristics of the solution are listed: standardising functions, Green's functions, transfer functions or matrices, eigenfunctions and eigenvalues with their asymptotics, roots of characteristic equations, and others. In addition to systems described by a single differential equation, the Handbook also includes degenerate multiconnected systems. The volume makes it easier to compare a large number of systems with distributed parameters. It also points the way to the solution of problems in the structural theory of distributed-parameter systems. The book contains three major chapters. Chapter 1 deals...


Physics of Semiconductors
B. Sapoval
0387406301
October 2003
Paperback
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Book Description
Based on courses given at the Ecole Polytechnique in France, this book covers not only the fundamental physics of semiconductors, but also discusses the operation of electronic and optical devices based on semiconductors. It is aimed at students with a good background in mathematics and physics, and is equally suited for graduate-level courses in condensed-matter physics as for self-study by engineers interested in a basic understanding of semiconductor devices.

Language Notes
Text: English (translation)
Original Language: French --This text refers to the Hardcover edition.


The Large N Expansion in Quantum Field Theory and Statistical Physics
E. Brezin
9810204566
Jan 1993
Paperback
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Physics of Semiconductors
B. Sapoval
0387940243
January 1994
Textbook Hardcover
·
 
Book Description
Based on courses given at the Ecole Polytechnique in France, this book covers not only the fundamental physics of semiconductors, but also discusses the operation of electronic and optical devices based on semiconductors. It is aimed at students with a good background in mathematics and physics, and is equally suited for graduate-level courses in condensed-matter physics as for self-study by engineers interested in a basic understanding of semiconductor devices.

Language Notes
Text: English (translation)
Original Language: French


Applications of Nonlinear Stochastic Systems Theory to Physics
George Adomian
902772525X
December 1988
Hardcover
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Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics
Vladimir G. Ivancevic
1402045441
March 2006
Hardcover
·
 
Book Description
This volume presents a comprehensive introduction into rigorous geometrical dynamics of complex systems of various natures. By "complex systems", in this book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a unified geometrical approach to dynamics of complex systems of various kinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. Using sophisticated machinery composed of differential geometry, topology and path integrals, this book proposes a unified approach to complex dynamics – of predictive power much greater than the currently popular "soft-science" approach to complex...

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