0-19-852604-0
Publication date: November 2004
320 pages, 181 b/w line figs; 4 b/w halftones, 234mm x 156mm
Written in a pedagogical style, richly illustrated, plenty of
applications, examples, and problem sets
Presents some of the most complex and important features of
Hamiltonian chaos
Comprehensive discussion of space-time fractality of chaotic
dynamics
Includes detailed analysis of the foundations of statistical
mechanics and Maxwell's demon
Includes unique material on non-KAM systems, symmetry of plane
tilings, erasing of chaos, and cooling of particles
Description
This books gives a realistic contemporary image of Hamiltonian
dynamics, dealing with the basic principles of the Hamiltonian
theory of chaos in addition to very recent and unusual
applications of nonlinear dynamics and the fractality of dynamics.
Readership: Graduate students, researchers and professionals
working in physics, applied mathematics and engineering.
Contents
Chaotic Dynamics
1 Hamiltonian dynamics
2 Examples of Hamiltonian dynamics
3 Perturbed dynamics
4 Chaotic dynamics
5 Physical models of chaos
6 Separatrix chaos
7 Chaos and symmetry
8 Beyond the KAM-theory
9 Phase space of chaos
Fractality of chaos
10 Fractals and chaos
11 Poincare recurrences
12 Dynamical traps
13 Fractal time
Kinetics
14 General principles of kinetics
15 Levy processes and levy flights
16 Fractional kinetic equation (FKE)
17 Renormalization group of kinetics (RGK)
18 Fractional kinetics equation solutions and modifications
19 Pseudochaos
Applications
20 Complexity and entropy of dynamics
21 Complexity and entropy functions
22 Chaos and foundation of statistical mechanics
23 Chaotic advection (dynamics of tracers)
24 Advection by point vortices
25 Appendix 1
26 Appendix 2
27 Appendix 3
28 Appendix 4
29 Notes
30 Problems
ISBN: 0-13-145224-X
Copyright: 2005
Format: Cloth; 400 pp
Description
For one-semester first courses in Quantum Computing. An
introduction to the subject for undergraduate and graduate
students in computer and electrical engineering, computer
science, mathematics, and chemistry.
With a clear writing style and matter-of-fact approach, this
rigorous yet accessible introduction is designed for students
with a solid mathematical background but limited knowledge of
physics and quantum mechanics. It introduces the quantum circuit
model comprehensively?including the mathematical formalism
required for quantum computing?using a methodical approach and an
abundance of worked examples.
Table of Contents
1 Preface
2 Introduction
3 Quantum Mechanics, a Mathematical Model of the Physical World
4 Qubits and Their Physical Realization
5 Quantum Gates and Quantum Circuits
6 Quantum Algorithms
7 The "Entanglement" of Computing and Communication
with Quantum Mechanics. Reversible Computations
8 Appendix I: Algebraic Structures
9 Appendix II: Modular Arithmetic
10 Appendix III: Welsh-Hadamard Transform
11 Appendix IV: Fourier Transform and Fourier Series
12 Glossary
2004, XII, 410 p., Hardcover
ISBN: 3-540-22141-7
About this book
Enrico Fermifs scientific work, noted for its originality and
breadth, has had lasting consequences throughout modern science.
Written by close colleagues as well as scientists whose fields
were profoundly influenced by Fermi, the papers collected here
constitute a tribute to him and his scientific legacy. They were
commissioned on the occasion of his 100th birthday by the Italian
Physical Society and confirm that Fermi was a rare combination of
theorist, experimentalist, teacher, and inspiring colleague. The
book is organized into three parts: three biographical overviews
by close colleagues, replete with personal insights; fourteen
analyses of Fermi's impact by specialists in their fields,
spanning physics, chemistry, mathematics, and engineering; and a
year-by-year chronology of Fermifs scientific endeavors.
Written for a general scientific audience, Enrico Fermi: His Work
and Legacy offers a highly readable source on the life of one of
the 20th century's most distinguished scientists and a must for
everybody interested in the history of modern science.
Table of contents
Commemoration of Enrico Fermi (Edoardo Amaldi).- Commemoration of
Enrico Fermi (Enrico Persico).- Enrico Fermi and Italian physics
(Franco Rasetti).- Enrico Fermi and solid state physics (Franco
Bassani).- Fermi's statistics (Giorgio Parisi).- Classical
mechanics and the quantum revolution in Fermi's early works (Giovanni
Gallavotti).- On the adiabatic invariants (Tullio Levi-Civita).-
Fermi's coordinates and the principle of equivalence (Bruno
Bertotti).- Fermi and quantum electrodynamics (Marcello Cini).-Weak
interactions (Nicola Cabibbo).- Nuclear physics from the nineteen
thirties to the present day (Ugo Amaldi).- The birth of nuclear
energy: Fermi's pile (Carlo Salvetti).- From the Chicago Pile 1
to the next-generation reactors (Augusto Gandini).- Reactors and
nuclear technology: development in the world (Maurizio Cumo).-
The scientific legacy of Fermi in particle physics (Maurice Jacob
and Luciano Maiani).- Enrico Fermi's contributions to non-linear
systems: the influence of an unpublished article (Massimo
Falcioni and Angelo Vulpiani).- Fermi's last lessons (Renato
Angelo Ricci).- Enrico Fermi's scientific work (Lisa Bonolis).-
Bibliography.- Index.
Series : Lecture Notes in Mathematics , Vol. 1853
2004, XV, 234 p., Softcover
ISBN: 3-540-22984-1
About this book
This volume is devoted to a beautiful object, called the
valuative tree and designed as a powerful tool for the study of
singularities in two complex dimensions. Its intricate yet
manageable structure can be analyzed by both algebraic and
geometric means. Many types of singularities, including those of
curves, ideals, and plurisubharmonic functions, can be encoded in
terms of positive measures on the valuative tree. The
construction of these measures uses a natural tree Laplace
operator of independent interest.
Table of contents
Series : Lecture Notes in Mathematics , Vol. 1854
2004, X, 145 p., Softcover
ISBN: 3-540-23021-1
About this book
The volume develops a thorough theory of singular fibers of
generic differentiable maps. This is the first work that
establishes the foundational framework of the global study of
singular differentiable maps of negative codimension from the
viewpoint of differential topology. The book contains not only a
general theory, but also some explicit examples together with a
number of very concrete applications. This is a very interesting
subject in differential topology, since it shows a beautiful
interplay between the usual theory of singularities of
differentiable maps and the geometric topology of manifolds.
Table of Contents
Series : Lecture Notes in Mathematics , Vol. 1855
2004, VIII, 472 p., Softcover
ISBN: 3-540-23030-0
About this book
This book consists of five introductory contributions by leading
mathematicians on the functional analytic treatment of evolutions
equations. In particular the contributions deal with Markov
semigroups, maximal L^p-regularity, optimal control problems for
boundary and point control systems, parabolic moving boundary
problems and parabolic nonautonomous evolution equations. The
book is addressed to PhD students, young researchers and
mathematicians doing research in one of the above topics.
Table of contents
Series : Mathematics in Industry
Subseries : The European Consortium for Mathematics in Industry ,
Vol. 6
2004, XVI, 312 p., Hardcover
ISBN: 3-540-22310-X
About this book
This book consists of lecture notes of a summer school named
after the late Jacques Louis Lions. The summer school was
designed to alert both Academia and Industry to the increasing
role of multidisciplinary methods and tools for the design of
complex products in various areas of socio-economic interest.
This volume offers the reader a rare opportunity of being exposed
to the presentation of real industrial and societal problems
together with the relevant innovative methods used.
Table of contents
Part I Lectures: A computational fluid-structure interaction
analysis of a fiber-reinforced stentless aortic valve, J. De
Hart, G.W.M. Peters, P.J.G. Schreurs, F.P.T. Baaijens; Nonlinear
Inverse Problems: Theoretical Aspects and Some Industrial
Applications, Heinz W. Engl, Philipp Kugler; Numerical Methods
for the Simulation of Incompressible Viscous Flow: An
Introduction, Roland Glowinski, Tsorng-Whay, Pan, L. Hector
Juarez V. Edward Dean.- Part II Speakers: Data assimilation
methods for an oceanographic problem, Didier Auroux, Jacques
Blum; Ant colonies: a nature inspired paradigm for the
mathematical modelling of self-organizing systems, Vincenzo
Capasso, Daniela Morale; Distribution Theoretic Approach to Multi-phase
Flow, Hideo Kawarada, E. Baba, M. Okada, H. Suito ; An Ant System
Heuristic for the Two-Dimensional Finite Bin Packing Problem:
preliminary results, Marco A. Boschetti, Vittorio Maniezzo;
Distributed Multidisciplinary Design Optimisation in Aeronautics
using Evolutionary Algorithms, Game Theory and Hierarchy, Eric J.
Whitney, Luis F. Gonzalez, Jacques Periaux; Distributed
Multidisciplinary Design Optimisation in Aeronautics using
Evolutionary Algorithms, Game Theory and Hierarchy, Eric J.
Whitney, Luis F. Gonzalez, Jacques Periaux.