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Author : E. W. Hobson
Publisher : CUP Archive
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4./5 ( download)
Download or read book the theory of spherical and ellipsoidal harmonics written by E. W. Hobson and published by CUP Archive. This book was released on with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Dassios
Publisher : Cambridge University Press
ISBN 13 : 1139510134
Total Pages : 475 pages
Book Rating : 4.1/5 (395 download)
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.
Author : William Elwood Byerly
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.7/5 (375 download)
Download or read book An Elementary Treatise on Fourier's Series written by William Elwood Byerly and published by . This book was released on 2021-04-13 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Elwood Byerly was an American mathematician at Harvard University where he was the "Perkins Professor of Mathematics". He was noted for his excellent teaching and textbooks
Author : Oliver Dimon Kellogg
Publisher : Courier Corporation
ISBN 13 : 9780486601441
Total Pages : 404 pages
Book Rating : 4.6/5 (14 download)
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.
Author : Robert Stawell Ball
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Treatise on Spherical Astronomy written by Robert Stawell Ball and published by . This book was released on 1908 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.C. Dragomir
Publisher : Elsevier
ISBN 13 : 1483291898
Total Pages : 705 pages
Book Rating : 4.4/5 (832 download)
Download or read book Theory of the Earth's Shape written by V.C. Dragomir and published by Elsevier. This book was released on 2017-01-31 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of the Earth's Shape considers the physical-mathematical problems raised by the determination of the form of the planet, thereby making a significant contribution to the technological scientific literature in this field. This book is organized into six parts encompassing 29 chapters. The first part, entitled Physical Geodesy, presents the theory of the determination of the gravitational field, in the definition of which preference was given to the method of expansion in spherical harmonics recommended by the International Union of Geodesy and Geophysics in establishing the international "Geodetic Reference System 1967". Part II deals with the principal aspects of Ellipsoidal Geodesy, such as the methods of solving the geodetic problems on the reference ellipsoid. Part III considers the main problems associated with Astro-geodetic Triangulation, particularly with the conception of materialization and the necessary measurements as the required adjustment procedures. This part also provides approaches regarding the controlled analysis of angular measurements and the description of some original calculation and measurement methods. Part IV concerns one of the methods of determining the spatial coordinates of the geodetic points in a unitary system, such as the three-dimensional geodesy, which has had more concrete applications since the launching of the Earth's first artificial satellites. Part V describes the methods for determining the terrestrial ellipsoid and the geoid, as well as the conventional methods and the methods of Dynamical Geodesy. Part VI discusses the geodetic methods for the determination of the movements of the Earth's crust, along with an overall examination of the theoretical and practical aspects which in principle constitute the object of such activities.
Author : Arthur Godon Webster
Publisher : Courier Dover Publications
ISBN 13 : 0486805158
Total Pages : 465 pages
Book Rating : 4.4/5 (868 download)
Download or read book Partial Differential Equations of Mathematical Physics written by Arthur Godon Webster and published by Courier Dover Publications. This book was released on 2016-06-20 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.
Author : Paul F. Fougère
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book Spherical Harmonic Analysis written by Paul F. Fougère and published by . This book was released on 1965 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Jacoby
Publisher : Springer Science & Business Media
ISBN 13 : 3540853294
Total Pages : 413 pages
Book Rating : 4.5/5 (48 download)
Download or read book Gravity Interpretation written by Wolfgang Jacoby and published by Springer Science & Business Media. This book was released on 2009-02-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gravity interpretation involves inversion of data into models, but it is more. Gravity interpretation is used in a “holistic” sense going beyond “inversion”. Inversion is like optimization within certain a priori assumptions, i.e., all anticipated models lie in a limited domain of the a priori errors. No source should exist outside the anticipated model volume, but that is never literally true. Interpretation goes beyond by taking “outside” possibilities into account in the widest sense. Any neglected possibility carries the danger of seriously affecting the interpretation. Gravity interpretation pertains to wider questions such as the shape of the Earth, the nature of the continental and oceanic crust, isostasy, forces and stresses, geol- ical structure, nding useful resources, climate change, etc. Interpretation is often used synonymously with modelling and inversion of observations toward models. Interpretation places the inversion results into the wider geological or economic context and into the framework of science and humanity. Models play a central role in science. They are images of phenomena of the physical world, for example, scale images or metaphors, enabling the human mind to describe observations and re- tionships by abstract mathematical means. Models served orientation and survival in a complex, partly invisible physical and social environment.
Author : Dirk Puetzfeld
Publisher : Springer
ISBN 13 : 3030115003
Total Pages : 485 pages
Book Rating : 4.0/5 (31 download)
Download or read book Relativistic Geodesy written by Dirk Puetzfeld and published by Springer. This book was released on 2019-02-09 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to steadily improving experimental accuracy, relativistic concepts – based on Einstein’s theory of Special and General Relativity – are playing an increasingly important role in modern geodesy. This book offers an introduction to the emerging field of relativistic geodesy, and covers topics ranging from the description of clocks and test bodies, to time and frequency measurements, to current and future observations. Emphasis is placed on geodetically relevant definitions and fundamental methods in the context of Einstein’s theory (e.g. the role of observers, use of clocks, definition of reference systems and the geoid, use of relativistic approximation schemes). Further, the applications discussed range from chronometric and gradiometric determinations of the gravitational field, to the latest (satellite) experiments. The impact of choices made at a fundamental theoretical level on the interpretation of measurements and the planning of future experiments is also highlighted. Providing an up-to-the-minute status report on the respective topics discussed, the book will not only benefit experts, but will also serve as a guide for students with a background in either geodesy or gravitational physics who are interested in entering and exploring this emerging field.
Author : Habib Ammari
Publisher : Springer Science & Business Media
ISBN 13 : 3642034438
Total Pages : 244 pages
Book Rating : 4.6/5 (42 download)
Download or read book Mathematical Modeling in Biomedical Imaging I written by Habib Ammari and published by Springer Science & Business Media. This book was released on 2009-10-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives an introduction to a fascinating research area to applied mathematicians. It is devoted to providing the exposition of promising analytical and numerical techniques for solving challenging biomedical imaging problems, which trigger the investigation of interesting issues in various branches of mathematics.
Author : H. Groemer
Publisher : Cambridge University Press
ISBN 13 : 0521473187
Total Pages : 343 pages
Book Rating : 4.5/5 (214 download)
Download or read book Geometric Applications of Fourier Series and Spherical Harmonics written by H. Groemer and published by Cambridge University Press. This book was released on 1996-09-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.
Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)
Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Author : Parry Moon
Publisher : Springer
ISBN 13 : 3642530605
Total Pages : 243 pages
Book Rating : 4.6/5 (425 download)
Download or read book Field Theory Handbook written by Parry Moon and published by Springer. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let us first state exactly what this book is and what it is not. It is a compendium of equations for the physicist and the engineer working with electrostatics, magne tostatics, electric currents, electromagnetic fields, heat flow, gravitation, diffusion, optics, or acoustics. It tabulates the properties of 40 coordinate systems, states the Laplace and Helmholtz equations in each coordinate system, and gives the separation equations and their solutions. But it is not a textbook and it does not cover relativistic and quantum phenomena. The history of classical physics may be regarded as an interplay between two ideas, the concept of action-at-a-distance and the concept of a field. Newton's equation of universal gravitation, for instance, implies action-at-a-distance. The same form of equation was employed by COULOMB to express the force between charged particles. AMPERE and GAUSS extended this idea to the phenomenological action between currents. In 1867, LUDVIG LORENZ formulated electrodynamics as retarded action-at-a-distance. At almost the same time, MAXWELL presented the alternative formulation in terms of fields. In most cases, the field approach has shown itself to be the more powerful.
Author : Bruno Morando
Publisher : Springer Science & Business Media
ISBN 13 : 3642999662
Total Pages : 319 pages
Book Rating : 4.6/5 (429 download)
Download or read book Dynamics of Satellites (1969) written by Bruno Morando and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the proceedings of a symposium on Dynamics of satellites which took place in Prague in May 1969 during the twelfth COSPAR meeting. This symposium was sponsored by the International Astronomical Union, the International Association of Geodesy, the International Union of Theoretical and Applied Mechanics and COSPAR (Committee on Space Research). The organizing committee was composed of Dr. KOVALEVSKY chair man, Dr. Yu. V. BATRAKOV representing IAU, Dr. A. H. COOK for lAG, Dr. D. KING-HELE for COSPAR, Prof. M. Roy for IUTAM and Dr. ROSENBERG. I wish to take advantage of the opportunity to thank, on behalf of all the participants, the organizing committee members, Prof. BUCHAR, Dr. RAJSK:I and Dr. SEHNAL, for the kindness and efficiency of their welcome. The interpreters who translated with virtuosity during the whole symposium also deserve our gratitude. I am grateful also for the care and skill with which Springer-Verlag has printed this volume.
Author : Peter Ring
Publisher : Springer Science & Business Media
ISBN 13 : 9783540212065
Total Pages : 742 pages
Book Rating : 4.2/5 (12 download)
Download or read book The Nuclear Many-Body Problem written by Peter Ring and published by Springer Science & Business Media. This book was released on 2004-03-25 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study Edition
Author : E. W. Hobson
Publisher : Cambridge University Press
ISBN 13 : 1107624509
Total Pages : 53 pages
Book Rating : 4.1/5 (76 download)
Download or read book John Napier and the Invention of Logarithms, 1614 written by E. W. Hobson and published by Cambridge University Press. This book was released on 2012-03-29 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1914, this volume was created to mark the tercentenary of John Napier's Mirifici Logarithmorum Canonis Descriptio. Written by the prominent English mathematician Ernest William Hobson, the text provides a highly readable introduction to the theory of logarithms and puts their discovery within a historical context. Illustrations are also included. This is a concise and accessible book that will be of value to anyone with an interest in logarithms and the history of mathematics.
