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1 Capuzzo Dolcetta, Roberto A Classical Newtonian Gravity I09309 2019 eBook  
2 The Non-Linear Field Theories of Mechanics / Die Nicht-Linearen Feldtheorien der Mechanik I04579 1965 eBook  
3 Gauthier, Paul M Complex Potential Theory I02935 1994 eBook  
4 Fuglede, B Approximation by Solutions of Partial Differential Equations I01980 1992 eBook  
5 GowriSankaran, K Classical and Modern Potential Theory and Applications I00354 1994 eBook  
6 Hiroshi Isozaki Maxwell equation: Inverse Scattering in Electromagnetis 026588 2018 Book  
7 Lester L. Helms Potential theory 025889 2014 Book  
8 P.K. Ghosh Theory of potential 019508 1972 Book  
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TitleClassical Newtonian Gravity : A Comprehensive Introduction, with Examples and Exercises
Author(s)Capuzzo Dolcetta, Roberto A
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2019.
DescriptionXVI, 176 p. 34 illus., 3 illus. in color : online resource
Abstract NoteThis textbook offers a readily comprehensible introduction to classical Newtonian gravitation, which is fundamental for an understanding of classical mechanics and is particularly relevant to Astrophysics. The opening chapter recalls essential elements of vectorial calculus, especially to provide the formalism used in subsequent chapters. In chapter two Classical Newtonian gravity theory for one point mass and for a generic number N of point masses is then presented and discussed. The theory for point masses is naturally extended to the continuous case. The third chapter addresses the paradigmatic case of spherical symmetry in the mass density distribution (central force), with introduction of the useful tool of qualitative treatment of motion. Subsequent chapters discuss the general case of non-symmetric mass density distribution and develop classical potential theory, with elements of harmonic theory, which is essential to understand the potential development in series of the gravitational potential, the subject of the fourth chapter. Finally, in the last chapter the specific case of motion of a satellite around the earth is considered. Examples and exercises are presented throughout the book to clarify aspects of the theory. The book is aimed at those who wish to progress further beyond an initial bachelor degree, onward to a master degree, and a PhD. It is also a valuable resource for postgraduates and active researchers in the field
ISBN,Price9783030258467
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. CLASSICAL MECHANICS 3. EBOOK 4. EBOOK - SPRINGER 5. GRAVITATION 6. MECHANICS 7. POTENTIAL THEORY 8. Potential theory (Mathematics) 9. SPACE SCIENCES 10. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
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I09309     On Shelf    

2.     
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TitleThe Non-Linear Field Theories of Mechanics / Die Nicht-Linearen Feldtheorien der Mechanik
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1965.
DescriptionVIII, 602 p : online resource
ISBN,Price9783642460159
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. POTENTIAL THEORY 4. Potential theory (Mathematics) 5. Quantum Field Theories, String Theory 6. QUANTUM FIELD THEORY 7. STRING THEORY
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I04579     On Shelf    

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TitleComplex Potential Theory
Author(s)Gauthier, Paul M
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1994.
DescriptionXIX, 552 p : online resource
ISBN,Price9789401109345
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONAL ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. POTENTIAL THEORY 7. Potential theory (Mathematics) 8. Several Complex Variables and Analytic Spaces
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I02935     On Shelf    

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TitleApproximation by Solutions of Partial Differential Equations
Author(s)Fuglede, B;Goldstein, M;Haussmann, W;Hayman, W.K;Rogge, L
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1992.
DescriptionXII, 201 p : online resource
Abstract NoteThis volume consists of the proceedings of the NATO Advanced Research Workshop on Approximation by Solutions of Partial Differential Equations, Quadrature Formulae, and Related Topics, which was held at Hanstholm, Denmark. These proceedings include the main invited talks and contributed papers given during the workshop. The aim of these lectures was to present a selection of results of the latest research in the field. In addition to covering topics in approximation by solutions of partial differential equations and quadrature formulae, this volume is also concerned with related areas, such as Gaussian quadratures, the Pompelu problem, rational approximation to the Fresnel integral, boundary correspondence of univalent harmonic mappings, the application of the Hilbert transform in two dimensional aerodynamics, finely open sets in the limit set of a finitely generated Kleinian group, scattering theory, harmonic and maximal measures for rational functions and the solution of the classical Dirichlet problem. In addition, this volume includes some problems in potential theory which were presented in the Problem Session at Hanstholm
ISBN,Price9789401124362
Keyword(s)1. APPROXIMATION THEORY 2. Approximations and Expansions 3. EBOOK 4. EBOOK - SPRINGER 5. PARTIAL DIFFERENTIAL EQUATIONS 6. POTENTIAL THEORY 7. Potential theory (Mathematics)
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I01980     On Shelf    

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TitleClassical and Modern Potential Theory and Applications
Author(s)GowriSankaran, K;Bliedtner, J;Feyel, D;Goldstein, M;Hayman, W.K;Netuka, I
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1994.
DescriptionXIV, 470 p : online resource
ISBN,Price9789401111386
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. APPROXIMATION THEORY 4. Approximations and Expansions 5. EBOOK 6. EBOOK - SPRINGER 7. MATHEMATICAL ANALYSIS 8. PARTIAL DIFFERENTIAL EQUATIONS 9. POTENTIAL THEORY 10. Potential theory (Mathematics) 11. PROBABILITIES 12. Probability Theory and Stochastic Processes
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TitleMaxwell equation: Inverse Scattering in Electromagnetis
Author(s)Hiroshi Isozaki
PublicationNew Jersey, World Scientific Publishing Co. Pvt. Ltd., 2018.
Descriptionxv,283p.
Abstract NoteHow can one determine the physical properties of the medium or the geometrical properties of the domain by observing electromagnetic waves? To answer this fundamental problem in mathematics and physics, this book leads the reader to the frontier of inverse scattering theory for electromagnetism. The first three chapters, written comprehensively, can be used as a textbook for undergraduate students. Beginning with elementary vector calculus, this book provides fundamental results for wave equations and Helmholtz equations, and summarizes the potential theory. It also explains the cohomology theory in an easy and straightforward way, which is an essential part of electromagnetism related to geometry. It then describes the scattering theory for the Maxwell equation by the time-dependent method and also by the stationary method in a concise, but almost self-contained manner. Based on these preliminary results, the book proceeds to the inverse problem for the Maxwell equation. The chapters for the potential theory and elementary cohomology theory are good introduction to graduate students. The results in the last chapter on the inverse scattering for the medium and the determination of Betti numbers are new, and will give a current scope for the inverse spectral problem on non-compact manifolds. It will be useful for young researchers who are interested in this field and trying to find new problems.
ISBN,Price9789813232693 : $ 118.00(HB)
Classification537.8
Keyword(s)1. COHOMOLOGY 2. MAXWELL EQUATION 3. POTENTIAL THEORY 4. SCATTERING THEORY 5. VECTOR CALCULUS
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026588   537.8/ISO/026588  On Shelf    

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TitlePotential theory
Author(s)Lester L. Helms
Edition2nd.
PublicationLondon, Springer, 2014.
Descriptionxiv, 485p.
Series(Universitext)
Abstract NotePotential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops methods for constructing solutions of Laplace's equation on a region with prescribed values on the boundary of the region. The latter half of the book addresses more advanced material aimed at those with the background of a senior undergraduate or beginning graduate course in real analysis. Starting with solutions of the Dirichlet problem subject to mixed boundary conditions on the simplest of regions, methods of morphing such solutions onto solutions of Poisson's equation on more general regions are developed using diffeomorphisms and the Perron-Wiener-Brelot method, culminating in application to Brownian motion. In this new edition, many exercises have been added to reconnect the subject matter to the physical sciences. This book will undoubtedly be useful to graduate students and researchers in mathematics, physics and engineering.
ISBN,Price9781447164210 : Euro 59.99(PB)
Classification517.956.2
Keyword(s)1. CALCULUS 2. DIRICHLET PROBLEM 3. GREEN FUNCTION 4. LAPLACE'S EQUATION 5. NEWTONIAN POTENTIAL 6. POTENTIAL THEORY
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025889   517.956.2/HEL/025889  On Shelf    

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TitleTheory of potential
Author(s)P.K. Ghosh
PublicationCalcutta, Macmillan Company, 1972.
Descriptionx, 326p.
ISBN,PriceRs. 16.00
Classification517.956.2
Keyword(s)1. POTENTIAL THEORY 2. VECTOR ANALYSIS
Item TypeBook

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019508   517.956.2 GHO/019508  On Shelf    

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