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The Theory Of Potential And Spherical Harmonics Revised
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Book Synopsis Handbook of Mathematical Geodesy by : Willi Freeden
Download or read book Handbook of Mathematical Geodesy written by Willi Freeden and published by Birkhäuser. This book was released on 2018-06-11 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading experts, 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. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.
Book Synopsis Foundations of Potential Theory by : Oliver Dimon Kellogg
Download or read book Foundations of Potential Theory written by Oliver Dimon Kellogg and published by Courier Corporation. This book was released on 1953-01-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.
Book Synopsis Harmonic Function Theory by : Sheldon Axler
Download or read book Harmonic Function Theory written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Book Synopsis Bulletin (new Series) of the American Mathematical Society by :
Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1899 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations by : Friedrich Sauvigny
Download or read book Partial Differential Equations written by Friedrich Sauvigny and published by Springer Science & Business Media. This book was released on 2006-10-04 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive two-volume textbook covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is placed on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. We solve partial differential equations via integral representations in this volume, reserving functional analytic solution methods for Volume Two.
Book Synopsis Potential Theory in Gravity and Magnetic Applications by : Richard J. Blakely
Download or read book Potential Theory in Gravity and Magnetic Applications written by Richard J. Blakely and published by Cambridge University Press. This book was released on 1996-09-13 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It opens with an introduction to potential theory, emphasising those aspects particularly important to earth scientists, such as Laplace's equation, Newtonian potential, magnetic and electrostatic fields, and conduction of heat. The theory is then applied to the interpretation of gravity and magnetic anomalies, drawing on examples from modern geophysical literature. Topics explored include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis. The book includes numerous exercises and a variety of computer subroutines written in FORTRAN. Graduate students and researchers in geophysics will find this book essential.
Book Synopsis Treatise on Geophysics, Volume 3 by : Tom Herring
Download or read book Treatise on Geophysics, Volume 3 written by Tom Herring and published by Elsevier. This book was released on 2010-04-20 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geodesy, which is the science of measuring the size and shape of the Earth, explores the theory, instrumentation and results from modern geodetic systems. The beginning sections of the volume cover the theory of the Earth's gravity field, the instrumentation for measuring the field, and its temporal variations. The measurements and results obtained from variations in the rotation of the Earth are covered in the sections on short and long period rotation hanges. Space based geodetic methods, including the global positioning system (GPS) and Interferometric synthetic aperture radar (SAR), are also examined in detail. - Self-contained volume starts with an overview of the subject then explores each topic with in depth detail - Extensive reference lists and cross references with other volumes to facilitate further research - Full-color figures and tables support the text and aid in understanding - Content suited for both the expert and non-expert
Book Synopsis Geomathematically Oriented Potential Theory by : Willi Freeden
Download or read book Geomathematically Oriented Potential Theory written by Willi Freeden and published by CRC Press. This book was released on 2012-10-30 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the Earth`s surface deviates from its spherical shape by less than 0.4 percent of its radius and today’s satellite missions collect their gravitational and magnetic data on nearly spherical orbits, sphere-oriented mathematical methods and tools play important roles in studying the Earth’s gravitational and magnetic field. Geomathematically Oriented Potential Theory presents the principles of space and surface potential theory involving Euclidean and spherical concepts. The authors offer new insight on how to mathematically handle gravitation and geomagnetism for the relevant observables and how to solve the resulting potential problems in a systematic, mathematically rigorous framework. The book begins with notational material and the necessary mathematical background. The authors then build the foundation of potential theory in three-dimensional Euclidean space and its application to gravitation and geomagnetism. They also discuss surface potential theory on the unit sphere along with corresponding applications. Focusing on the state of the art, this book breaks new geomathematical grounds in gravitation and geomagnetism. It explores modern sphere-oriented potential theoretic methods as well as classical space potential theory.
Book Synopsis Mathematical Techniques and Physical Applications by : J Killingbeck
Download or read book Mathematical Techniques and Physical Applications written by J Killingbeck and published by Elsevier. This book was released on 2012-12-02 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory. This book is divided into 10 chapters that cover the different branches of traditional mathematics. This book deals first with the concept of vector, matrix, and tensor analysis. These topics are followed by discussions on several theories of series relevant to physics; the fundamentals of complex variables and analytic functions; variational calculus for presenting the basic laws of many branches of physics; and the applications of group representations. The final chapters explore some partial and integral equations and derivatives of physics, as well as the concept and application of probability theory. Physics teachers and students will greatly appreciate this book.
Book Synopsis Ellipsoidal Harmonics by : George Dassios
Download or read book Ellipsoidal Harmonics written by George Dassios and published by Cambridge University Press. This book was released on 2012-07-12 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sphere is what might be called a perfect shape. Unfortunately nature is imperfect and many bodies are better represented by an ellipsoid. The theory of ellipsoidal harmonics, originated in the nineteenth century, could only be seriously applied with the kind of computational power available in recent years. This, therefore, is the first book devoted to ellipsoidal harmonics. Topics are drawn from geometry, physics, biosciences and inverse problems. It contains classical results as well as new material, including ellipsoidal bi-harmonic functions, the theory of images in ellipsoidal geometry and vector surface ellipsoidal harmonics, which exhibit an interesting analytical structure. Extended appendices provide everything one needs to solve formally boundary value problems. End-of-chapter problems complement the theory and test the reader's understanding. The book serves as a comprehensive reference for applied mathematicians, physicists, engineers and for anyone who needs to know the current state of the art in this fascinating subject.
Book Synopsis Applied Mathematics for Engineers and Physicists by : Louis A. Pipes
Download or read book Applied Mathematics for Engineers and Physicists written by Louis A. Pipes and published by Courier Corporation. This book was released on 2014-06-10 with total page 1043 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced courses in applied mathematics, this text covers analysis of lumped parameter systems, distributed parameter systems, and important areas of applied mathematics. Answers to selected problems. 1970 edition.
Book Synopsis The Theory of Potential and Spherical Harmonics. (Second Edition.). by : Wolfgang J. STERNBERG (and SMITH (Turner Linn))
Download or read book The Theory of Potential and Spherical Harmonics. (Second Edition.). written by Wolfgang J. STERNBERG (and SMITH (Turner Linn)) and published by . This book was released on 1946 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NBS Special Publication written by and published by . This book was released on 1918 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Treatise on Geophysics written by and published by Elsevier. This book was released on 2015-04-17 with total page 5604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treatise on Geophysics, Second Edition, is a comprehensive and in-depth study of the physics of the Earth beyond what any geophysics text has provided previously. Thoroughly revised and updated, it provides fundamental and state-of-the-art discussion of all aspects of geophysics. A highlight of the second edition is a new volume on Near Surface Geophysics that discusses the role of geophysics in the exploitation and conservation of natural resources and the assessment of degradation of natural systems by pollution. Additional features include new material in the Planets and Moon, Mantle Dynamics, Core Dynamics, Crustal and Lithosphere Dynamics, Evolution of the Earth, and Geodesy volumes. New material is also presented on the uses of Earth gravity measurements. This title is essential for professionals, researchers, professors, and advanced undergraduate and graduate students in the fields of Geophysics and Earth system science. Comprehensive and detailed coverage of all aspects of geophysics Fundamental and state-of-the-art discussions of all research topics Integration of topics into a coherent whole
Book Synopsis The New Werner Twentieth Century Edition of the Encyclopaedia Britannica by :
Download or read book The New Werner Twentieth Century Edition of the Encyclopaedia Britannica written by and published by . This book was released on 1906 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Electromagnetic Fields by : Jean G. Van Bladel
Download or read book Electromagnetic Fields written by Jean G. Van Bladel and published by John Wiley & Sons. This book was released on 2007-05-23 with total page 1171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Jean Van Bladel, an eminent researcher and educator in fundamental electromagnetic theory and its application in electrical engineering, has updated and expanded his definitive text and reference on electromagnetic fields to twice its original content. This new edition incorporates the latest methods, theory, formulations, and applications that relate to today's technologies. With an emphasis on basic principles and a focus on electromagnetic formulation and analysis, Electromagnetic Fields, Second Edition includes detailed discussions of electrostatic fields, potential theory, propagation in waveguides and unbounded space, scattering by obstacles, penetration through apertures, and field behavior at high and low frequencies.
Book Synopsis The New Volumes of the EncyclpÆedia Britannica by :
Download or read book The New Volumes of the EncyclpÆedia Britannica written by and published by . This book was released on 1902 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt:
