Search results for ""Author Willi Freeden""

Selbstkonsistente Darstellung von Schlüssel- und Transfermethodologien vom Realitätsraum geodätischer Messungen und Beobachtungen in den Modellraum mathematischer Strukturen und Lösungen und zurück, neue Perspektiven und Forschungstrends im Bereich Mathematischer Geodäsie.

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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 fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field). The differential equation under consideration determines the type of special functions that are needed in the desired reduction process. Each chapter closes with exercises that reflect significant topics, mostly in computational applications. As a result, readers are not only directly confronted with the specific contents of each chapter, but also with additional knowledge on mathematical fields of research, where special functions are essential to application. All in all, the book is an equally valuable resource for education in geomathematics and the study of applied and harmonic analysis. Students who wish to continue with further studies should consult the literature given as supplements for each topic covered in the exercises.

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Das Handbuch vermittelt die Grundlagen wie das thermische Regime der Erde, die oberflächennahe Geologie, geologisch-geophysikalische Grundlagen, zugrunde liegende mathematische Methoden, Risikomanagement und Bohrtechniken. In den angewandten Kapiteln geht es konkret um Geothermieprojekte aus der Sicht eines Bauherren, u.a. um Heizlastberechnung und die hydraulische Abgleichung, daneben um das Projektmanagement, zu berücksichtigende Umweltaspekte, Finanzierung und Fördermöglichkeiten und die Dimensionierung von Anlagen. Auch Verfahrenstechnische Grundlagen, die Maschinentechnik, die Qualitätssicherung und Fragen der Kommunikation und Akzeptanz wie auch der Arbeitssicherheit und des Gesundheitsschutzes werden behandelt. Auch wenn der Schwerpunkt des Handbuches auf Deutschland, Österreich und der Schweiz liegt, so wird auch auf die Oberflächennahe Geothermiebranche weltweit eingegangen und Herausforderungen wie auch Chancen und Perspektiven aufgezeigt.

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This book presents, in a consistent and unified overview, results and developments in the field of today´s spherical sampling, particularly arising in mathematical geosciences. Although the book often refers to original contributions, the authors made them accessible to (graduate) students and scientists not only from mathematics but also from geosciences and geoengineering. Building a library of topics in spherical sampling theory it shows how advances in this theory lead to new discoveries in mathematical, geodetic, geophysical as well as other scientific branches like neuro-medicine. A must-to-read for everybody working in the area of spherical sampling.

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