{"product_id":"multiscale-potential-theory-with-applications-to-geoscience-9781461273950","title":"Multiscale Potential Theory: With Applications to Geoscience","description":"\u003cp\u003e • Author(s): Willi Freeden\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Number Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis self-contained book provides a basic foundation for students, practitioners, and researchers interested in some of the diverse new areas of multiscale (geo)potential theory. New mathematical methods are developed enabling the gravitational potential of a planetary body to be modeled and analyzed using a continuous flow of observations from land or satellite devices. Harmonic wavelet methods are introduced, as well as fast computational schemes and various numerical test examples.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe work is divided into two main parts: Part I treats well-posed boundary-value problems of potential theory and elasticity; Part II examines ill-posed problems such as satellite-to-satellite tracking, satellite gravity gradiometry, and gravimetry. Both sections demonstrate how multiresolution representations yield Runge-Walsh type solutions that are both accurate in approximation and tractable in computation.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eTopic and key features: \u003c\/p\u003e \u003cp\u003e* Comprehensive coverage of topics which, thus far, are only scattered in journal articles and conference proceedings\u003c\/p\u003e \u003cp\u003e* Important applications and developments for future satellite scenarios; new modelling techniques involving low-orbiting satellites\u003c\/p\u003e \u003cp\u003e* Multiscale approaches for numerous geoscientific problems, including geoidal determination, magnetic field reconstruction, deformation analysis, and density variation modelling\u003c\/p\u003e \u003cp\u003e* Multilevel stabilization procedures for regularization\u003c\/p\u003e \u003cp\u003e* Treatment of the real Earth's shape as well as a spherical Earth model\u003c\/p\u003e \u003cp\u003e* Modern methods of constructive approximation\u003c\/p\u003e \u003cp\u003e* Exercises at the end of each chapter and an appendix with hints to their solutions\u003c\/p\u003e \u003cp\u003eModels and methods presented show how various large- and small-scale processes may be addressed by a single geoscientific modelling framework for potential determination. \u003cem\u003eMultiscale Potential Theory\u003c\/em\u003e may be used as a textbook for graduate-level courses in geomathematics, applied mathematics, and geophysics. The book is also an up-to-date reference text for geoscientists, applied mathematicians, and engineers.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45276978741399,"sku":"9781461273950","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781461273950.webp?v=1769287186","url":"https:\/\/atlanticbooks.com\/products\/multiscale-potential-theory-with-applications-to-geoscience-9781461273950","provider":"Atlantic Books","version":"1.0","type":"link"}