During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Neglected in favor of more abstract theories, it has been taught primarily where instructors have ac- tively engaged in research in this field. This situation has resulted in a scarcity of English language books of standard shape, size, and quality covering potential theory. The current book attempts to fill that gap in the literature. Since the rapid development of high-speed computers, the remarkable progress in highly advanced electronic measurement concepts, and, most of...
During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Neglected in favor of more abst...
This book collects all material developed by the Geomathematics Group, TU Kaiserslautern, during the few last years to set up a theory of spherical functions of mathematical (geo-)physics. The work shows a twofold transition: first, the natural transition from the scalar to the vectorial and tensorial theory of spherical harmonics is given in coordinate-free representation, based on new variants of the addition theorem and the Funk-Hecke formulas. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is presented in close orientation to an...
This book collects all material developed by the Geomathematics Group, TU Kaiserslautern, during the few last years to set up a theory of spherical fu...
Metaharmonic Lattice Point Theory covers interrelated methods and tools of spherically oriented geomathematics and periodically reflected analytic number theory. The book establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators for the adaptive determination and calculation of formulas and identities of weighted lattice point numbers, in particular the non-uniform distribution of lattice points.
The author explains how to obtain multi-dimensional generalizations of the Euler summation formula by interpreting...
Metaharmonic Lattice Point Theory covers interrelated methods and tools of spherically oriented geomathematics and periodically re...
During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Neglected in favor of more abstract theories, it has been taught primarily where instructors have ac- tively engaged in research in this field. This situation has resulted in a scarcity of English language books of standard shape, size, and quality covering potential theory. The current book attempts to fill that gap in the literature. Since the rapid development of high-speed computers, the remarkable progress in highly advanced electronic measurement concepts, and, most of...
During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Neglected in favor of more abst...
Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality. The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic...
Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-struct...
Die durch das Reaktorungluck in Fukushima forcierte Energiewende hin zu einer Stromversorgung mit primar erneuerbaren Energien konzentriert sich in der aktuellen Wahrnehmung nur auf den Ausbau von Solar und Windkraftenergie. Dabei wird vergessen, dass aufgrund fehlender Stromspeichertechnologien und Uberlandstromtrassen eine erneuerbare Energie benotigt wird, die konstant Strom liefern und so Erzeugungsschwankungen bei Solar- und Windkraftenergie ausgleichen kann. Tiefe Geothermie, also Energie, die aus der Erde kommt, kann diese Aufgabe leisten, da sie die einzige erneuerbare Energie...
Die durch das Reaktorungluck in Fukushima forcierte Energiewende hin zu einer Stromversorgung mit primar erneuerbaren Energien konzentriert sic...
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...
During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has cha...
Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality. The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic...
Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-struct...
This book provides a clear and comprehensive survey of the "status quo" of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy, written by leading experts. Starting with a foundation of special functions, potential theory, functional analysis, boundary value problems, constructive approximation, and inverse problems, readers are subsequently introduced into today's geodetic observables, geoidal modeling, gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal...
This book provides a clear and comprehensive survey of the "status quo" of the interrelating process and cross-fertilization of structures and meth...
