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Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Hiroshi Isozaki |
Maxwell equation: Inverse Scattering in Electromagnetis |
026588 |
2018 |
Book |
|
| 2 |
Paul Renteln |
Maniforlds, tensors, and forms: An Intruduction for Mathematicians and Physicists |
025392 |
2014 |
Book |
|
| 3 |
Bernhelm Boob-Bavnbek (ed.) |
New paths towards quantum gravity |
023413 |
2010 |
Book |
|
| 4 |
GUNNING, ROBERT C. |
Analytic functions of several complex variables |
019526 |
1965 |
Book |
|
| 5 |
Jose A. De Azcarraga |
Lie groups, lie algebras, cohomology and some applications in physics: Based on the graduate course delivered at DAMTP in the Le |
012869 |
1995 |
Book |
|
| 6 |
D.J. Benson |
Representations and cohomology. I: Basic representation theory of finite groups & associate algebras |
004548 |
1991 |
Book |
|
| 7 |
Anthony W. Knapp |
Lie groups, lie algebras and cohomology |
001662 |
1988 |
Book |
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1.
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| 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 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,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 |
On Shelf |
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|
+Copy Specific Information |
2.
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| Title | Maniforlds, tensors, and forms: An Intruduction for Mathematicians and Physicists |
| Author(s) | Paul Renteln |
| Publication | Cambridge, Cambridge University Press, 2014. |
| Description | xii, 329p. |
| Abstract Note | Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. |
| ISBN,Price | 9781107042193 : UKP 45.00(PB) |
| Classification | 512.6:514.7
|
| Keyword(s) | 1. COHOMOLOGY
2. DEGREE THEORY
3. LIE GROUPS
4. MANIFOLDS
5. MULTILINEAR ALGEBRA
6. RIEMANNIAN GEOMETRY
7. TENSORS
8. VECTOR BUNDLES
|
| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 025392 |
|
512.6:514.7/REN/025392 |
On Shelf |
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|
+Copy Specific Information | |