Ellipsoidal Harmonics

Ellipsoidal Harmonics
Author: George Dassios
Publisher: Cambridge University Press
Total Pages: 475
Release: 2012-07-12
Genre: Mathematics
ISBN: 0521113091

The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.

Handbook of Geomathematics

Handbook of Geomathematics
Author: Willi Freeden
Publisher: Springer Science & Business Media
Total Pages: 1371
Release: 2010-08-13
Genre: Mathematics
ISBN: 364201545X

During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as spaceborne data of better and better quality explain the strong need of new mathematical structures, tools, and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.

Gravity and Low-Frequency Geodynamics

Gravity and Low-Frequency Geodynamics
Author: Roman Teisseyre
Publisher: Elsevier
Total Pages: 493
Release: 2013-10-22
Genre: Science
ISBN: 1483291804

This fourth volume in the series Physics and Evolution of the Earth's Interior, provides a comprehensive review of the geophysical and geodetical aspects related to gravity and low-frequency geodynamics. Such aspects include the Earth's gravity field, geoid shape theory, and low-frequency phenomena like rotation, oscillations and tides.Global-scale phenomena are treated as a response to source excitation in spherical Earth models consisting of several shells: lithosphere, mantle, core and sometimes also the inner solid core. The effect of gravitation and rotation on the Earth's shape is analysed. The satellite approach to studies of the gravity field and the geoid shape is discussed in some detail. Discussions of recent findings and developments are accompanied by a brief historical background.

Gravitational Lensing: Strong, Weak and Micro

Gravitational Lensing: Strong, Weak and Micro
Author: Peter Schneider
Publisher: Springer Science & Business Media
Total Pages: 565
Release: 2006-12-30
Genre: Science
ISBN: 3540303103

The observation, in 1919 by A.S. Eddington and collaborators, of the gra- tational de?ection of light by the Sun proved one of the many predictions of Einstein’s Theory of General Relativity: The Sun was the ?rst example of a gravitational lens. In 1936, Albert Einstein published an article in which he suggested - ing stars as gravitational lenses. A year later, Fritz Zwicky pointed out that galaxies would act as lenses much more likely than stars, and also gave a list of possible applications, as a means to determine the dark matter content of galaxies and clusters of galaxies. It was only in 1979 that the ?rst example of an extragalactic gravitational lens was provided by the observation of the distant quasar QSO 0957+0561, by D. Walsh, R.F. Carswell, and R.J. Weymann. A few years later, the ?rst lens showing images in the form of arcs was detected. The theory, observations, and applications of gravitational lensing cons- tute one of the most rapidly growing branches of astrophysics. The gravi- tional de?ection of light generated by mass concentrations along a light path producesmagni?cation,multiplicity,anddistortionofimages,anddelaysp- ton propagation from one line of sight relative to another. The huge amount of scienti?c work produced over the last decade on gravitational lensing has clearly revealed its already substantial and wide impact, and its potential for future astrophysical applications.

Dynamics of Stellar Systems

Dynamics of Stellar Systems
Author: K. F. Ogorodnikov
Publisher: Elsevier
Total Pages: 398
Release: 2016-10-13
Genre: Science
ISBN: 1483137457

Dynamics of Stellar Systems focuses on the theoretical problems in stellar dynamics. The book first offers information on stellar dynamics, including historical development, fundamentals of synthetic method, and value of stellar dynamics. The text discusses the fundamental concepts of stellar statistics. Properties of univariate distribution functions; multivariate distribution functions; and statistical properties of stars are explained. The text then describes the elementary theory of galactic rotation and irregular forces in stellar systems. The text also tackles statistical stellar dynamics of neglecting encounters. Considerations include Boltzmann equation in curvilinear coordinates; importance of using one-valued integrals of the motion; and fundamental differential equation of stellar dynamics. The book also underscores the regular orbit of stars and dynamics of centroids. The text describes the dynamics of spherical stellar and rotating stellar systems. The theory of polytropic spheres; basic equations for spherical systems; masses and rotation of galaxies; and boundaries of galaxies are discussed. The text is highly recommended for readers interested in stellar dynamics.

Astrophysical Applications of Gravitational Lensing

Astrophysical Applications of Gravitational Lensing
Author: Evencio Mediavilla
Publisher: Cambridge University Press
Total Pages: 305
Release: 2016-10-06
Genre: Science
ISBN: 1316684040

Gravitational lenses offer the best, and sometimes the only, means of tackling key problems in many fields of astrophysics and cosmology. According to Einstein's theory, the curvature of light-rays increases with mass; gravitational lenses can be used to map the distribution of mass in a Universe in which virtually all matter is dark matter of an unknown nature. Gravitational lensing has significantly improved our knowledge of many astrophysical phenomena, such as exoplanets, galaxies, active galactic nuclei, quasars, clusters, large-scale structure and the Universe itself. All these topics are covered fully in this book, together with two tutorials on lens and microlensing modelling. The future of lensing in relation to large surveys and the anticipated discoveries of thousands more gravitational lenses is also discussed, making this volume an ideal guide for postgraduate students and practising researchers in the use of gravitational lenses as a tool in their investigations.

Relativity, Gravitation and Cosmology

Relativity, Gravitation and Cosmology
Author: Ta-Pei Cheng
Publisher: Oxford University Press
Total Pages: 452
Release: 2010
Genre: Science
ISBN: 0199573638

An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.

Literature 1979, Part 1

Literature 1979, Part 1
Author: Siegfried Böhme
Publisher: Springer Science & Business Media
Total Pages: 882
Release: 2013-04-18
Genre: Science
ISBN: 3662123169