Cosmology in (2+1)- Dimensions, Cyclic Models, and Deformations of M2,1 PDF Download

Author: Victor Guillemin
Publisher: Princeton University Press
ISBN: 9780691085142
Category : Mathematics
Languages : en
Pages : 240

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Book Description
The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floquet operator," invented by Paneitz and Segal.

Author: Victor Guillemin
Publisher: Princeton University Press
ISBN: 1400882419
Category : Mathematics
Languages : en
Pages : 236

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Book Description
The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floquet operator," invented by Paneitz and Segal.

Author: M. Rapoport
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 356

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Book Description

Author: Steven M. LaValle
Publisher: Cambridge University Press
ISBN: 9780521862059
Category : Computers
Languages : en
Pages : 844

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Book Description
Planning algorithms are impacting technical disciplines and industries around the world, including robotics, computer-aided design, manufacturing, computer graphics, aerospace applications, drug design, and protein folding. Written for computer scientists and engineers with interests in artificial intelligence, robotics, or control theory, this is the only book on this topic that tightly integrates a vast body of literature from several fields into a coherent source for teaching and reference in a wide variety of applications. Difficult mathematical material is explained through hundreds of examples and illustrations.

Author: Lukasz Andrzej Glinka
Publisher: Cambridge International Science Pub
ISBN: 9781907343568
Category : Mathematics
Languages : en
Pages : 830

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Book Description
This monograph is first of all the proposal of the unifying approach to particle physics, cosmology, and quantum gravity based on the most essential pieces of modern theoretical physics - Quantum Mechanics, Quantum Field Theory, Special Relativity, General Relativity, and Thermodynamics - and creates fruitful methodological background to solve the intriguing problems of high energy physics, cosmology, and gravitational physics.

Author: Raymond Serway
Publisher: Cengage Learning
ISBN: 9781133953951
Category : Science
Languages : en
Pages : 1344

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Book Description
As a market leader, PHYSICS FOR SCIENTISTS AND ENGINEERS is one of the most powerful brands in the physics market. While preserving concise language, state-of-the-art educational pedagogy, and top-notch worked examples, the Ninth Edition highlights the Analysis Model approach to problem-solving, including brand-new Analysis Model Tutorials, written by text co-author John Jewett, and available in Enhanced WebAssign. The Analysis Model approach lays out a standard set of situations that appear in most physics problems, and serves as a bridge to help students identify the correct fundamental principle--and then the equation--to utilize in solving that problem. The unified art program and the carefully thought out problem sets also enhance the thoughtful instruction for which Raymond A. Serway and John W. Jewett, Jr. earned their reputations. The Ninth Edition of PHYSICS FOR SCIENTISTS AND ENGINEERS continues to be accompanied by Enhanced WebAssign in the most integrated text-technology offering available today. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Author: Bogdan Povh
Publisher: Springer
ISBN: 3662545152
Category : Science
Languages : en
Pages : 230

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Book Description
Quantum physics may appear complicated, especially if one forgets the "big picture" and gets lost in the details. However, it can become clearer and less tangled if one applies a few fundamental concepts so that simplified approaches can emerge and estimated orders of magnitude become clear. Povh and Rosina’s Scattering and Structures presents the properties of quantum systems (elementary particles, nucleons, atoms, molecules, quantum gases, quantum liquids, stars, and early universe) with the help of elementary concepts and analogies between these seemingly different systems. In this new edition, sections on quantum gases and an up to date overview of elementary particles have been added.

Author: G. W. Gibbons
Publisher: World Scientific
ISBN: 9789810205164
Category : Science
Languages : en
Pages : 604

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Book Description
The Euclidean approach to Quantum Gravity was initiated almost 15 years ago in an attempt to understand the difficulties raised by the spacetime singularities of classical general relativity which arise in the gravitational collapse of stars to form black holes and the entire universe in the Big Bang. An important motivation was to develop an approach capable of dealing with the nonlinear, non-perturbative aspects of quantum gravity due to topologically non-trivial spacetimes. There are important links with a Riemannian geometry. Since its inception the theory has been applied to a number of important physical problems including the thermodynamic properties of black holes, quantum cosmology and the problem of the cosmological constant. It is currently at the centre of a great deal of interest.This is a collection of survey lectures and reprints of some important lectures on the Euclidean approach to quantum gravity in which one expresses the Feynman path integral as a sum over Riemannian metrics. As well as papers on the basic formalism there are sections on Black Holes, Quantum Cosmology, Wormholes and Gravitational Instantons.

Author: Holm Altenbach
Publisher: Springer
ISBN: 3319422774
Category : Science
Languages : en
Pages : 293

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Book Description
The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.

Author: Jacob Fraden
Publisher: Springer Science & Business Media
ISBN: 0387216049
Category : Technology & Engineering
Languages : en
Pages : 596

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Book Description
Seven years have passed since the publication of the previous edition of this book. During that time, sensor technologies have made a remarkable leap forward. The sensitivity of the sensors became higher, the dimensions became smaller, the sel- tivity became better, and the prices became lower. What have not changed are the fundamental principles of the sensor design. They are still governed by the laws of Nature. Arguably one of the greatest geniuses who ever lived, Leonardo Da Vinci, had his own peculiar way of praying. He was saying, “Oh Lord, thanks for Thou do not violate your own laws. ” It is comforting indeed that the laws of Nature do not change as time goes by; it is just our appreciation of them that is being re?ned. Thus, this new edition examines the same good old laws of Nature that are employed in the designs of various sensors. This has not changed much since the previous edition. Yet, the sections that describe the practical designs are revised substantially. Recent ideas and developments have been added, and less important and nonessential designs were dropped. Probably the most dramatic recent progress in the sensor technologies relates to wide use of MEMS and MEOMS (micro-electro-mechanical systems and micro-electro-opto-mechanical systems). These are examined in this new edition with greater detail. This book is about devices commonly called sensors. The invention of a - croprocessor has brought highly sophisticated instruments into our everyday lives.