Author: E. W. HobsonPublisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 520
Book Description
the theory of spherical and ellipsoidal harmonics
Author: E. W. HobsonPublisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 520
Book Description
Ellipsoidal Harmonics
Author: George DassiosPublisher: Cambridge University Press
ISBN: 1139510134
Category : Mathematics
Languages : en
Pages : 475
Book Description
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.
An Elementary Treatise on Fourier's Series
Author: William Elwood ByerlyPublisher:
ISBN:
Category :
Languages : en
Pages : 292
Book Description
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
Foundations of Potential Theory
Author: Oliver Dimon KelloggPublisher: Courier Corporation
ISBN: 9780486601441
Category : Science
Languages : en
Pages : 404
Book Description
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.
Partial Differential Equations of Mathematical Physics
Author: Arthur Godon WebsterPublisher: Courier Dover Publications
ISBN: 0486805158
Category : Mathematics
Languages : en
Pages : 465
Book Description
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.
A Treatise on Spherical Astronomy
Author: Robert Stawell BallPublisher:
ISBN:
Category : Spherical astronomy
Languages : en
Pages : 528
Book Description
Spherical Harmonic Analysis
Author: Paul F. FougèrePublisher:
ISBN:
Category : Spherical harmonics
Languages : en
Pages : 22
Book Description
Mathematical Modeling in Biomedical Imaging I
Author: Habib AmmariPublisher: Springer Science & Business Media
ISBN: 3642034438
Category : Mathematics
Languages : en
Pages : 244
Book Description
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.
Handbook of Geomathematics
Author: Amir Z. AverbuchPublisher:
ISBN: 9783642277931
Category : Geology
Languages : en
Pages :
Book Description
Geometric Applications of Fourier Series and Spherical Harmonics
Author: H. GroemerPublisher: Cambridge University Press
ISBN: 0521473187
Category : Mathematics
Languages : en
Pages : 343
Book Description
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.