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 #  AuthorTitleAccn#YearItem Type Claims
1 Paul Renteln Maniforlds, tensors, and forms: An Intruduction for Mathematicians and Physicists 025392 2014 Book  
2 Fecko Marian Differential geometry and lie groups for physicists 023801 2001 Book  
3 Claude Chevalley Theory of lie groups vol. I 019429 1946 Book  
4 B.B. Sinha Introduction to modern differential geometry 019774 1982 Book  
5 Y. Choquet-Bruhat Analysis, manifolds and physics. Part I: Basics 003791 1982 Book  
6 Carroll, Sean M. Lecture notes on general relativity 016812 1997 Book  
7 Richard L. Bishop Tensor analysis on manifolds 014641 1980 Book  
8 James R. Munkres Analysis on manifolds 012293 1991 Book  
9 F. De Felice Relativity of curved manifolds 005469 1990 Book  
10 Ted Petrie Connections, definite forms and four-manifolds 004786 1990 Book  
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TitleManiforlds, tensors, and forms: An Intruduction for Mathematicians and Physicists
Author(s)Paul Renteln
PublicationCambridge, Cambridge University Press, 2014.
Descriptionxii, 329p.
Abstract NoteProviding 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,Price9781107042193 : UKP 45.00(PB)
Classification512.6:514.7
Keyword(s)1. COHOMOLOGY 2. DEGREE THEORY 3. LIE GROUPS 4. MANIFOLDS 5. MULTILINEAR ALGEBRA 6. RIEMANNIAN GEOMETRY 7. TENSORS 8. VECTOR BUNDLES
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
025392   512.6:514.7/REN/025392  On Shelf    

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TitleDifferential geometry and lie groups for physicists
Author(s)Fecko Marian
PublicationCambridge, Cambridge University Press, 2001.
Descriptionxv, 697p.
Abstract NoteThis textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.
ISBN,Price9780511755590 : UKP 38.00(PB)
Classification514.747:53
Keyword(s)1. DIFFERENTIAL FORMS 2. DIFFERENTIAL GEOMETRY 3. LIE GROUPS 4. MANIFOLDS 5. SPINORS 6. SYMPLECTIC GEOMETRY 7. TENSOR FIELDS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
023801   514.747:53/FEC/023801  On Shelf    

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TitleTheory of lie groups vol. I
Author(s)Claude Chevalley
PublicationPrinceton, Princeton University Press, 1946.
Descriptionix, 217p.
Series(princeton mathematical series edited by Marston Morse, H.P. Robertson, A.W. Tucker)
ISBN,PriceUS $ 3.00
Classification512.812
Keyword(s)1. DIFFERENTIAL CALCULUS 2. EBOOK 3. EBOOK - PRINCETON UNIVERSITY PRESS 4. LIE GROUPS 5. MANIFOLDS 6. TOPOLOGY
Item TypeBook
Multi-Media Links
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
019429   512.812/CHE/019429  On Shelf    
OB1798   512.812/CHE/  On Shelf    

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TitleIntroduction to modern differential geometry
Author(s)B.B. Sinha
PublicationNew Delhi, Kalyani Publishers, 1982.
Description199p.
ISBN,PriceRs. 40.00
Classification514.7
Keyword(s)1. DIFFERENTIAL FORMS 2. GEOMETRY 3. LIE GROUPS 4. MANIFOLDS 5. TENSOR ALGEBRA
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
019774   514.7/SIN/019774  On Shelf    

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TitleAnalysis, manifolds and physics. Part I: Basics
Author(s)Y. Choquet-Bruhat;C. DeWitt-Morette;M. Dillard-Bleick
EditionRev. ed.
PublicationAmsterdam, North-Holland, 1982.
Descriptionxx,630pp.;Bib. pp. 603-609
Classification517.1:514.76
Keyword(s)1. ANALYSIS 2. MANIFOLDS 3. PHYSICS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
003791   517.1:514.76/CHO/003791  On Shelf    
003792   517.1:514.76/CHO/003792  On Shelf    

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TitleLecture notes on general relativity
Author(s)Carroll, Sean M.
PublicationSanta Barbara, University of California, 1997.
Descriptioniv, 5-231p.
Classification530.12
Keyword(s)1. BLACK HOLE 2. COSMOLOGY 3. EINSTEIN EQUATIONS 4. GENERAL RELATIVITY 5. GRAVITATIONAL RADIATION 6. MANIFOLDS 7. RIEMANNIAN GEOMETRY
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
016812   530.12/CAR/016812  On Shelf    

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TitleTensor analysis on manifolds
Author(s)Richard L. Bishop;Samuel I. Goldberg
PublicationNew York, Dover Publications, Inc., 1980.
Description280pp.
ISBN,Price0-486-64039-6
Classification514.743.4
Keyword(s)1. MANIFOLDS 2. TENSOR ANALYSIS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
014641   514.743.4/BIS/014641  On Shelf    

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TitleAnalysis on manifolds
Author(s)James R. Munkres
PublicationReading, Massachusetts, Addison-Wesley Publishing Company, 1991.
ISBN,Price0-201-51035-9
Classification517.51
Keyword(s)1. ANALYSIS 2. MANIFOLDS 3. MATHEMATICAL ANALYSIS 4. REAL ANALYSIS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
012293   517.51/MUN/012293  On Shelf    

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TitleRelativity of curved manifolds
Author(s)F. De Felice;C.J.S. Clarke
PublicationCambridge, Cambridge University Press, 1990.
Descriptionxi,448pp.
Classification530.12
Keyword(s)1. GENERAL RELATIVITY 2. MANIFOLDS 3. RELATIVITY
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
005469   530.12/DEF/005469  On Shelf    

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TitleConnections, definite forms and four-manifolds
Author(s)Ted Petrie;John Randall
PublicationOxford, Clarendon press, 1990.
Description131pp.;Bib. pp. 125-126
Series(Oxford Mathematical Monographs)
Classification515.162
Keyword(s)1. CONNECTIONS (MATHEMATICS) 2. FOUR-MANIFOLDS 3. MANIFOLDS 4. TOPOLOGICAL SPACES
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
004786   515.162/PET/004786  On Shelf    

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