Geomathematics provides a comprehensive summary of the mathematical principles behind key topics in geophysics and geodesy, covering the foundations of gravimetry, geomagnetics and seismology. Theorems and their proofs explain why physical realities in geoscience are the logical mathematical consequences of basic laws. The book also derives and analyzes the theory and numerical aspects of established systems of basis functions; and presents an algorithm for combining different types of trial functions. Topics cover inverse problems and their regularization, the Laplace/Poisson equation, boundary-value problems, foundations of potential theory, the Poisson integral formula, spherical harmonics, Legendre polynomials and functions, radial basis functions, the Biot-Savart law, decomposition theorems (orthogonal, Helmholtz, and Mie), basics of continuum mechanics, conservation laws, modelling of seismic waves, the Cauchy-Navier equation, seismic rays, and travel-time tomography. Each chapter ends with review questions, with solutions for instructors available online, providing a valuable reference for graduate students and researchers.

From the first vistas provided by flight in balloons in the eighteenth century to the most recent sensing operations performed by military drones, the history of aerial imagery has marked the transformation of how people perceived their world, better understood their past, and imagined their future. In Aerial Aftermaths Caren Kaplan traces this cultural history, showing how aerial views operate as a form of world-making tied to the times and places of war. Kaplan's investigation of the aerial arts of war-painting, photography, and digital imaging-range from England's surveys of Scotland following the defeat of the 1746 Jacobite rebellion and early twentieth-century photographic mapping of Iraq to images taken in the immediate aftermath of 9/11. Throughout, Kaplan foregrounds aerial imagery's importance to modern visual culture and its ability to enforce colonial power, demonstrating both the destructive force and the potential for political connection that come with viewing from above.

The fourth edition of this textbook has been thoroughly revised in order to reflect the central role which geodesy has achieved in the past ten years. The Global Geodetic Observing System established by the IAG utilizes a variety of techniques to determine the geometric shape of the earth and its kinematics, the variations of earth rotation, and the earth's gravity field. Space techniques play a fundamental role, with recent space missions also including gravity field recovery. Terrestrial techniques are important for regional and local applications, and for validating the results of the space missions. Global and regional reference systems are now well established and widely used. They also serve as a basis for geo-information systems. The analysis of the time variation of the geodetic products provides the link to other geosciences and contributes to proper modelling of geodynamic processes. The book follows the principal directions of geodesy, providing the theoretical background as well as the principles of measurement and evaluation methods. Selected examples of instruments illustrate the geodetic work. An extensive reference list supports further studies. The book is intended to serve as an introductory textbook for graduate students as well as a reference for scientists and engineers in the fields of geodesy, geophysics, surveying engineering and geomatics.

In the 18th century, Europe's scientific community was torn between two opposing theories: Descartes' argument that the Earth was spherical, and Newton's contention that it was flattened at the poles. Recognizing that the answer was the key to securely navigating the earth's oceans, France and Spain organized a joint expedition to colonial Peru. Their goal was to measure a degree of latitude at the Equator by comparing this measurement to one taken back in Europe, they would be able to determine the planet's shape and put an end to the debate. But what seemed a straightforward scientific exercise was almost immediately marred by a series of unforeseen catastrophes: treacherous terrain, deeply suspicious locals, and the voyagers' own hubris. A thrilling tale of adventure, political history, and scientific discovery, Larrie D. Ferreiro's Measure of the Earth recounts the greatest scientific exhibition of the Enlightenment through the eyes of the men who completed it,pioneers who overcame tremendous adversity to traverse the towering Andes Mountains and discern the Earth's true shape.

Practical Surveying and Computations is long established as a major land surveying textbook.

The book has been completely rewritten revised to take account of the profound changes in surveying methods and applications due to electronic instrumentation and computerized data processing systems. These new developments give today's surveyor unprecedented freedom in the numerical handling of data. As a result, the emphasis is shifted from the need for detailed understanding of instrument function to the avoidance of blunders at the data-gathering stage and the ability to appraise computer output in the light of fundamental principles: that is, a quality control system. The explanations and examples in this new edition help equip readers to select those procedures and techniques that are most reliable, accurate, cost effective and appropriate to the problem tackled.