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Deterministic Chaos in General Relativity, David Hobill; Adrian Burd; A.A. Coley


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Автор: David Hobill; Adrian Burd; A.A. Coley
Название:  Deterministic Chaos in General Relativity
ISBN: 9780306448119
Издательство: Springer
Классификация:
ISBN-10: 0306448114
Обложка/Формат: Hardcover
Страницы: 472
Вес: 1.06 кг.
Дата издания: 30.09.1994
Серия: Nato Science Series B:
Язык: English
Размер: 254 x 178 x 27
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Nonlinear dynamical systems play an important role in a number of disciplines. The physical, biological, economic and even sociological worlds are comprised of com- plex nonlinear systems that cannot be broken down into the behavior of their con- stituents and then reassembled to form the whole. The lack of a superposition principle in such systems has challenged researchers to use a variety of analytic and numerical methods in attempts to understand the interesting nonlinear interactions that occur in the World around us. General relativity is a nonlinear dynamical theory par excellence. Only recently has the nonlinear evolution of the gravitational field described by the theory been tackled through the use of methods used in other disciplines to study the importance of time dependent nonlinearities. The complexity of the equations of general relativity has been (and still remains) a major hurdle in the formulation of concrete mathematical concepts. In the past the imposition of a high degree of symmetry has allowed the construction of exact solutions to the Einstein equations. However, most of those solutions are nonphysical and of those that do have a physical significance, many are often highly idealized or time independent.


Deterministic Kinetics in Chemistry and Systems Biology

Автор: G?bor Lente
Название: Deterministic Kinetics in Chemistry and Systems Biology
ISBN: 3319154818 ISBN-13(EAN): 9783319154817
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This book gives a concise overview of the mathematical foundations of kinetics used in chemistry and systems biology. The analytical and numerical methods used to solve complex rate equations with the widely used deterministic approach will be described, with primary focus on practical aspects important in designing experimental studies and the evaluation of data. The introduction of personal computers transformed scientific attitudes in the last two decades considerably as computational power ceased to be a limiting factor. Despite this improvement, certain time-honored approximations in solving rate equations such as the pre-equilibrium or the steady-state approach are still valid and necessary as they concern the information content of measured kinetic traces. The book shows the role of these approximations in modern kinetics and will also describe some common misconceptions in this field.

General theory of relativity

Автор: Dirac, P.a.m.
Название: General theory of relativity
ISBN: 069101146X ISBN-13(EAN): 9780691011462
Издательство: Wiley
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Описание: Einstein`s general theory of relativity requires a curved space for the description of the physical world. This title comprises thirty-five compact chapters that takes the reader point-by-point through the necessary steps for understanding general relativity.

Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays

Автор: Mehmet Eren Ahsen; Hitay ?zbay; Silviu-Iulian Nicu
Название: Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays
ISBN: 3319156055 ISBN-13(EAN): 9783319156057
Издательство: Springer
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Описание: This brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorporates nonlinearities and time-delayed feedback. One chapter is devoted to the analysis of GRNs under negative feedback with time delays and a special case of a homogenous GRN is considered.

Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences

Автор: David Greiner; Blas Galv?n; Jacques P?riaux; Nicol
Название: Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences
ISBN: 3319364243 ISBN-13(EAN): 9783319364247
Издательство: Springer
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Описание:

Preface.- Part 1: Theoretical and Numerical Methods and Tools for Optimization.- 1.1 Theoretical Methods and Tools.- 1.1.1 Multi-Objective Evolutionary Algorithms in Real-World Applications: Some Recent Results and Current Challenges, by Carlos A. Coello Coello.- 1.1.2 Hybrid Optimization Algorithms and Hybrid Response Surfaces, by George S. Dulikravich and Marcelo J. Colaco.- 1.1.3 A genetic algorithm for a sensor device location problem, by Egidio D'Amato, Elia Daniele and Lina Mallozzi.- 1.1.4 The Role of Artificial Neural Networks in Evolutionary Optimization: A Review, by Mustapha Maarouf, Adriel Sosa, Blas Galvбn, David Greiner, Gabriel Winter, Mбximo Mendez and Ricardo Aguasca.- 1.1.5 Reliability-based Design Optimization with the Generalized Inverse Distribution Function, by Domenico Quagliarella, Giovanni Petrone and Gianluca Iaccarino.- 1.2 Numerical Methods and Tools.- 1.2.1 On the choice of surrogates for multilevel aircraft performance models, by Manon Bondouy, Sophie Jan, Serge Laporte and Christian Bes.- 1.2.2 Multi-objective design optimization using high-order statistics for CFD applications, by Pietro M. Congedo, Gianluca Geraci, Remi Abgrall and Gianluca Iaccarino.- 1.2.3 Extension of the One-Shot Method for Optimal Control with Unsteady PDEs, by Stefanie Gunther, Nicolas R. Gauger and Qiqi Wang.- 1.2.4 Adaptive Aerodynamic Design Optimization for Navier-Stokes using Shape Derivatives with Discontinuous Galerkin Methods, by Lena Kaland, Matthias Sonntag and Nicolas R. Gauger.- 1.2.5 Optimal Flow Control and Topology Optimization Using the Continuous Adjoint Method in Unsteady Flows, by Ioannis S. Kavvadias, George K. Karpouzas, Evangelos M. Paoutsis-Kiachagias, Dimitris I. Papadimitrou and Kyriakos C. Giannakoglou.- Part 2: Engineering Design and Societal Applications.- 2.1 Turbomachinery.- 2.1.1 Design optimization of the Primary Pump of a Nuclear Reactor, by Tom Verstraete and Lasse Mueller.- 2.1.2 Direct 3D Aerodynamic Optimization of Turbine Blades with GPU-accelerated CFD, by Philipp Amtsfeld, Dieter Bestle and Marcus Meyer.- 2.1.3 Evaluation of Surrogate Modelling Methods for Turbo-Machinery Component Design Optimization, by Gianluca Badjan, Carlo Poloni, Andrew Pike and Nadir Ince.- 2.1.4 Robust Aerodynamic Design Optimization of Horizontal Axis Wind Turbine Rotors, by Marco Caboni, Edmondo Minisci and Michele Sergio Campobaso.- 2.1.5 Horizontal axis hydroturbine shroud airfoil optimization, by Elia Daniele, Elios Ferrauto and Domenico P. Coiro.- 2.1.6 Parametric Blending and FE-Optimization of a Compressor Blisk Test Case, by Kai Karger and Dieter Bestle.- 2.1.7 Modular Automated Aerodynamic Compressor Design Process, by Fiete Poehlmann, Dieter Bestle, Peter Flassig and Michиl Hinz.- 2.1.8 Design-Optimization of a Compressor Blading on a GPU Cluster, by Konstantinos T. Tsiakas, Xenofon S. Trompoukis, Varvara G. Asouti and Kyriakos C. Giannakoglou.- 2.2 Structures, Materials and Civil Engineering.- 2.2.1 Immune and Swarm Optimization of Structures, by Tadeusz Burczyński, Arkadiusz Poteralski and Miroslaw Szczepanik.- 2.2.2 Investigation of three genotypes for mixed variable evolutionary optimization, by Rajan Filomeno Coelho, Manyu Xiao, Aurore Guglielmetti, Manuel Herrera and Weihong Zhang.- 2.2.3 A Study of Nash-Evolutionary Algorithms for Reconstruction Inverse Problems in Structural Engineering, by David Greiner, Jacques Pйriaux, Josй Marнa Emperador, Blas Galvбn and Gabriel Winter.- 2.2.4 A comparative study on design optimization of polygonal and Bйzier curve-shaped thin noise barriers using dual BEMformulation, by Rayco Toledo, Juan J. Aznбrez, Orlando Maeso and David Greiner.- 2.2.5 A Discrete Adjoint Approach For Trailing-Edge Noise Minimization using Porous Material, by Beckett Y. Zhou, Nicolas R. Gauger, Seong R. Koh and Wolfgang Schrцder.- 2.3 Aeronautics and Astronautics.- 2.3.1 Conceptual Design of Single-Stage Launch Vehicle with Hybrid Rocket Engine Using Desi

Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences

Автор: David Greiner; Blas Galv?n; Jacques P?riaux; Nicol
Название: Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences
ISBN: 3319115405 ISBN-13(EAN): 9783319115405
Издательство: Springer
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Цена: 26122.00 р.
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Описание:

Preface.- Part 1: Theoretical and Numerical Methods and Tools for Optimization.- 1.1 Theoretical Methods and Tools.- 1.1.1 Multi-Objective Evolutionary Algorithms in Real-World Applications: Some Recent Results and Current Challenges, by Carlos A. Coello Coello.- 1.1.2 Hybrid Optimization Algorithms and Hybrid Response Surfaces, by George S. Dulikravich and Marcelo J. Colaco.- 1.1.3 A genetic algorithm for a sensor device location problem, by Egidio D'Amato, Elia Daniele and Lina Mallozzi.- 1.1.4 The Role of Artificial Neural Networks in Evolutionary Optimization: A Review, by Mustapha Maarouf, Adriel Sosa, Blas Galvбn, David Greiner, Gabriel Winter, Mбximo Mendez and Ricardo Aguasca.- 1.1.5 Reliability-based Design Optimization with the Generalized Inverse Distribution Function, by Domenico Quagliarella, Giovanni Petrone and Gianluca Iaccarino.- 1.2 Numerical Methods and Tools.- 1.2.1 On the choice of surrogates for multilevel aircraft performance models, by Manon Bondouy, Sophie Jan, Serge Laporte and Christian Bes.- 1.2.2 Multi-objective design optimization using high-order statistics for CFD applications, by Pietro M. Congedo, Gianluca Geraci, Remi Abgrall and Gianluca Iaccarino.- 1.2.3 Extension of the One-Shot Method for Optimal Control with Unsteady PDEs, by Stefanie Gunther, Nicolas R. Gauger and Qiqi Wang.- 1.2.4 Adaptive Aerodynamic Design Optimization for Navier-Stokes using Shape Derivatives with Discontinuous Galerkin Methods, by Lena Kaland, Matthias Sonntag and Nicolas R. Gauger.- 1.2.5 Optimal Flow Control and Topology Optimization Using the Continuous Adjoint Method in Unsteady Flows, by Ioannis S. Kavvadias, George K. Karpouzas, Evangelos M. Paoutsis-Kiachagias, Dimitris I. Papadimitrou and Kyriakos C. Giannakoglou.- Part 2: Engineering Design and Societal Applications.- 2.1 Turbomachinery.- 2.1.1 Design optimization of the Primary Pump of a Nuclear Reactor, by Tom Verstraete and Lasse Mueller.- 2.1.2 Direct 3D Aerodynamic Optimization of Turbine Blades with GPU-accelerated CFD, by Philipp Amtsfeld, Dieter Bestle and Marcus Meyer.- 2.1.3 Evaluation of Surrogate Modelling Methods for Turbo-Machinery Component Design Optimization, by Gianluca Badjan, Carlo Poloni, Andrew Pike and Nadir Ince.- 2.1.4 Robust Aerodynamic Design Optimization of Horizontal Axis Wind Turbine Rotors, by Marco Caboni, Edmondo Minisci and Michele Sergio Campobaso.- 2.1.5 Horizontal axis hydroturbine shroud airfoil optimization, by Elia Daniele, Elios Ferrauto and Domenico P. Coiro.- 2.1.6 Parametric Blending and FE-Optimization of a Compressor Blisk Test Case, by Kai Karger and Dieter Bestle.- 2.1.7 Modular Automated Aerodynamic Compressor Design Process, by Fiete Poehlmann, Dieter Bestle, Peter Flassig and Michиl Hinz.- 2.1.8 Design-Optimization of a Compressor Blading on a GPU Cluster, by Konstantinos T. Tsiakas, Xenofon S. Trompoukis, Varvara G. Asouti and Kyriakos C. Giannakoglou.- 2.2 Structures, Materials and Civil Engineering.- 2.2.1 Immune and Swarm Optimization of Structures, by Tadeusz Burczyński, Arkadiusz Poteralski and Miroslaw Szczepanik.- 2.2.2 Investigation of three genotypes for mixed variable evolutionary optimization, by Rajan Filomeno Coelho, Manyu Xiao, Aurore Guglielmetti, Manuel Herrera and Weihong Zhang.- 2.2.3 A Study of Nash-Evolutionary Algorithms for Reconstruction Inverse Problems in Structural Engineering, by David Greiner, Jacques Pйriaux, Josй Marнa Emperador, Blas Galvбn and Gabriel Winter.- 2.2.4 A comparative study on design optimization of polygonal and Bйzier curve-shaped thin noise barriers using dual BEMformulation, by Rayco Toledo, Juan J. Aznбrez, Orlando Maeso and David Greiner.- 2.2.5 A Discrete Adjoint Approach For Trailing-Edge Noise Minimization using Porous Material, by Beckett Y. Zhou, Nicolas R. Gauger, Seong R. Koh and Wolfgang Schrцder.- 2.3 Aeronautics and Astronautics.- 2.3.1 Conceptual Design of Single-Stage Launch Vehicle with Hybrid Rocket Engine Using Desi

General Relativity

Автор: Norbert Straumann
Название: General Relativity
ISBN: 3642060137 ISBN-13(EAN): 9783642060137
Издательство: Springer
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Цена: 11173.00 р.
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Описание: Physics and mathematics students are as eager as ever to become acquainted withthefoundationsofgeneralrelativityandsomeofitsmajorapplicationsin astrophysics and cosmology. I hope that this textbook gives a comprehensive and timelyintroduction toboth aspectsof thisfascinating?eld, and willturn out to be useful for undergraduate and graduate students. This book is a complete revision and extension of my previous volume 'GeneralRelativityandRelativisticAstrophysics'thatappearedabouttwenty years ago in the Springer Series'Texts and Monographs in Physics'; however, it cannot be regarded just as a new edition. In Part I the foundations of general relativity are thoroughly developed. Some of the more advanced topics, such as the section on the initial value problem, can be skipped in a ?rst reading. Part II is devoted to tests of general relativity and many of its app- cations. Binary pulsars - our best laboratories for general relativity - are studied in considerable detail. I have included an introduction to gravi- tional lensing theory, to the extend that the current literature on the subject should become accessible. Much space is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel's proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten's proof of the positive energy theorem. All the required di?erential geometric tools are developed in Part III.

The n-Body Problem in General Relativity

Автор: T. Levi-Civita
Название: The n-Body Problem in General Relativity
ISBN: 9048183367 ISBN-13(EAN): 9789048183364
Издательство: Springer
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Цена: 14365.00 р.
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Описание: 1 IN THE MONOGRAPH SERIES directed by Henri Villat, several fasci- cules have been devoted to Relativity. First there are the general presentations ofTh. De Donder (nos. 8, 14, 43, 58), and then those more specifically devoted to Einsteinian gravitation - notably Georges Darmois's contribution (no. 25) and that of J. Haag (no. 46) on the Schwarzschild problem. The present fascicule takes its place alongside the two latter monographs, but it has been conceived and composed in such a way that it may be read and understood by anyone with a knowledge of the principles of Absolute Differential Calculus and of Relativity - either from the original exposi- tions of Einstein, Weyl, or Eddington, or, in French, from Cartan's excel- 2 lent works (for everything having to do with mathematical theories) and 3 from Chazy's (for Relativity and Celestial Mechanics), or naturally from Levi-Civita's The Absolute Differential Calculus (first edition, London and Glasgow, Blackie and Son, 1927) where the two original papers written in Italian are brought together: namely, Calcolo differenziale assoluto and Fondamenti di meccanica relativistica (Bologna, Zanichelli). As for the present fascicule, it is hardly necessary to point out that, as its title indicates, we seek to establish in the simplest possible terms the rela- tivistic aspect of what Newton and those who followed him regarded as the key to ordinary Celestial Mechanics.

Einstein`s General Theory of Relativity

Автор: ?yvind Gr?n; Sigbjorn Hervik
Название: Einstein`s General Theory of Relativity
ISBN: 144192406X ISBN-13(EAN): 9781441924063
Издательство: Springer
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Цена: 11753.00 р.
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Описание: This book introduces the general theory of relativity and includes applications to cosmology. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel`s formalism and branes.

Ray Optics, Fermat`s Principle, and Applications to General Relativity

Автор: Volker Perlick
Название: Ray Optics, Fermat`s Principle, and Applications to General Relativity
ISBN: 3540668985 ISBN-13(EAN): 9783540668985
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This text on relativistic ray optics covers such topics as: light propagation in linear dielectric and permeable media; ray-optical structures on arbitrary manifolds; ray-optical structures on Lorentzian manifolds; and variational principles for rays.

Quantum Mechanics from General Relativity

Автор: M. Sachs
Название: Quantum Mechanics from General Relativity
ISBN: 9027722471 ISBN-13(EAN): 9789027722478
Издательство: Springer
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Цена: 30039.00 р.
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Описание: It is shown there to exhibit an explicit unification of the gravitational and electromagnetic fields of force with the inertial manifestations of matter, expressing the latter explicitly in terms of a covariant field theory within the structure of this general theory.

Complex General Relativity

Автор: Giampiero Esposito
Название: Complex General Relativity
ISBN: 904814518X ISBN-13(EAN): 9789048145188
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity.


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