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Author  Title  Accn#  Year  Item Type  Claims 
1 
Capuzzo Dolcetta, Roberto A 
Classical Newtonian Gravity 
I09309 
2019 
eBook 

2 

The NonLinear Field Theories of Mechanics / Die NichtLinearen 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 


1.


Title  Classical Newtonian Gravity : A Comprehensive Introduction, with Examples and Exercises 
Author(s)  Capuzzo Dolcetta, Roberto A 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2019. 
Description  XVI, 176 p. 34 illus., 3 illus. in color : online resource 
Abstract Note  This 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 nonsymmetric 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,Price  9783030258467 
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)

Item Type  eBook 
MultiMedia Links
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I09309 


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4.


Title  Approximation by Solutions of Partial Differential Equations 
Author(s)  Fuglede, B;Goldstein, M;Haussmann, W;Hayman, W.K;Rogge, L 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 1992. 
Description  XII, 201 p : online resource 
Abstract Note  This 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,Price  9789401124362 
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)

Item Type  eBook 
MultiMedia Links
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I01980 


On Shelf 




5.


Title  Classical and Modern Potential Theory and Applications 
Author(s)  GowriSankaran, K;Bliedtner, J;Feyel, D;Goldstein, M;Hayman, W.K;Netuka, I 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 1994. 
Description  XIV, 470 p : online resource 
ISBN,Price  9789401111386 
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

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I00354 


On Shelf 




6.


Title  Maxwell equation: Inverse Scattering in Electromagnetis 
Author(s)  Hiroshi Isozaki 
Publication  New Jersey, World Scientific Publishing Co. Pvt. Ltd., 2018. 
Description  xv,283p. 
Abstract Note  How 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 timedependent method and also by the stationary method in a concise, but almost selfcontained 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 noncompact manifolds. It will be useful for young researchers who are interested in this field and trying to find new problems. 
ISBN,Price  9789813232693 : $ 118.00(HB) 
Classification  537.8

Keyword(s)  1. COHOMOLOGY
2. MAXWELL EQUATION
3. POTENTIAL THEORY
4. SCATTERING THEORY
5. VECTOR CALCULUS

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
026588 

537.8/ISO/026588 
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7.


Title  Potential theory 
Author(s)  Lester L. Helms 
Edition  2nd. 
Publication  London, Springer, 2014. 
Description  xiv, 485p. 
Series  (Universitext) 
Abstract Note  Potential 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 PerronWienerBrelot 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,Price  9781447164210 : Euro 59.99(PB) 
Classification  517.956.2

Keyword(s)  1. CALCULUS
2. DIRICHLET PROBLEM
3. GREEN FUNCTION
4. LAPLACE'S EQUATION
5. NEWTONIAN POTENTIAL
6. POTENTIAL THEORY

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
025889 

517.956.2/HEL/025889 
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