Willi Freeden Knihy

Introduction -- Owning news in an age of censorship and monopoly -- Toward a culture of copying in eighteenth-century Britain -- Scissors editors : cutting and pasting in early America -- Market news and the limits of copyright in nineteenth-century America -- Debating copyright for news in industrial Britain -- Press associations and the quest for exclusivity in the United States -- International News Service v. Associated Press and its legacy -- Epilogue : the view from the digital age

Focusing on gravimetric and magnetometric exploration, this book delves into the geoscientific context by employing mathematics for modeling and interpreting complex geological data. It emphasizes the analysis of precise gravitational and magnetic measurements, addressing both surface and deep geological features. The content is primarily centered on terrestrial data, making it a valuable resource for understanding the intricacies of geological exploration through advanced mathematical techniques.

Focusing on the intersection of mathematics and geosciences, this text offers a comprehensive toolkit of special functions tailored for problem-solving across various measurement parameters and field characteristics. It serves as a valuable resource for mathematicians, physicists, and geoscientists, enhancing their analytical capabilities in geomathematics.

Focusing on advanced mathematical techniques, this work explores the intersection of spherically oriented geomathematics and analytic number theory. It introduces multi-dimensional Euler and Poisson summation formulas linked to elliptic operators, aimed at calculating weighted lattice point numbers. The book delves into periodization methods, examines lattice point distributions in complex "potato-like" regions, and addresses both radial and angular non-uniform distributions, making it a significant resource for researchers in these fields.

Die Fortschritte in der Gravimetrie, insbesondere durch leistungsfähigere Gravimeter und verbesserte Messgenauigkeit, ermöglichen die Erfassung sowohl starker als auch schwächerer Schwereanomalien. Die Entwicklung innovativer Computertechnologien führt zu neuen Methoden wie der Waveletdekorrelation, die die Datendekomposition revolutionieren. Diese Fortschritte machen die dekorrelative Gravimetrie zu einer richtungsweisenden Explorationstechnik, die auf der Kombination neuartiger Mess- und Modellierungstechniken basiert.

The book delves into the geoscientific aspects of decorrelative gravitational exploration, focusing on mass density distribution within the Earth. It simplifies gravimetry to create mathematically accessible models, addressing unresolved issues in the field. The text introduces new theoretical advancements and innovative modeling techniques for geological layers and faults using mollifier regularization. This work aims to make complex gravimetric concepts understandable for a wider scientific audience and the exploration industry.

Focusing on the principles of space and surface potential theory, this work delves into both Euclidean and spherical concepts. It provides a systematic and mathematically rigorous approach to addressing gravitation and geomagnetism, exploring how to handle relevant observables effectively. The authors establish a foundation in three-dimensional Euclidean space before transitioning to surface potential theory on the unit sphere, highlighting its applications in the context of gravitational and geomagnetic phenomena.

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 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 uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of constructive approximation and data analysis. In doing so, the whole palette of spherical (trial) functions is provided for modeling and simulating phenomena and processes of the Earth system.

This book addresses the resurgence of interest in potential theory, a topic often overlooked in mathematics. It aims to fill the gap in English literature by exploring the impact of modern technology, such as high-speed computing and satellite advancements, on visualizing potential functions. It highlights the role of harmonic kernel functions in analyzing potential data effectively.

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.