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Author  Title  Accn#  Year  Item Type  Claims 
1 
Willi Hans Steeb 
Problems and solutions in differential geometry, lie series, differential forms, relativity and applications 
026254 
2018 
Book 

2 
Fecko Marian 
Differential geometry and lie groups for physicists 
023801 
2001 
Book 

3 
James J. Callahan 
Advanced calculus: A geometric view 
023607 
2010 
Book 

4 
BACHMAN, DAVID 
Geometric approach to differential forms 
021350 
2006 
Book 

5 
David Lovelock 
Tensors, differential forms and variational principles 
020758 
1988 
Book 

6 
B.B. Sinha 
Introduction to modern differential geometry 
019774 
1982 
Book 

7 
Raoul Bott 
Differential forms in algebraic topology 
002758 
1982. 
Book 


2.


Title  Differential geometry and lie groups for physicists 
Author(s)  Fecko Marian 
Publication  Cambridge, Cambridge University Press, 2001. 
Description  xv, 697p. 
Abstract Note  This 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 selfstudy. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.

ISBN,Price  9780511755590 : UKP 38.00(PB) 
Classification  514.747:53

Keyword(s)  1. DIFFERENTIAL FORMS
2. DIFFERENTIAL GEOMETRY
3. LIE GROUPS
4. MANIFOLDS
5. SPINORS
6. SYMPLECTIC GEOMETRY
7. TENSOR FIELDS

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
023801 

514.747:53/FEC/023801 
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3.


Title  Advanced calculus: A geometric view 
Author(s)  James J. Callahan 
Publication  New York, Springer, 2010. 
Description  xvi, 526p. 
Abstract Note  With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstonesthe change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokesthe text treats other important topics in differential analysis, such as Morse's lemma and the PoincarÃ© lemma. The ideas behind most topics can be understood with just two or three variables. This invites geometric visualization; the book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps, such as the role of the derivative as the local linear approximation to a map and its role in the change of variables formula for multiple integrals. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. Advanced Calculus: A Geometric View is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a yearlong course on advanced calculus and for a variety of semester coursesincluding topics in geometry. It avoids duplicating the material of real analysis. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study. 
ISBN,Price  9781441973313 : Eur 64.95(HB) 
Classification  517.2

Keyword(s)  1. CALCULUS
2. CRITICAL POINTS
3. DIFFERENTIAL FORMS
4. EBOOK
5. EBOOK  SPRINGER
6. GREEN'S THEOREM
7. INTEGRALS
8. INVERSE FUNCTION THEOREM
9. LINEAR APPROXIMATION
10. STOKES' THEOREM
11. SURFACE INTEGRALS
12. VARIABLES FORMULA

Item Type  Book 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
023607 

517.2/CAL/023607 
On Shelf 



I11976 

517.2/CAL/ 
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5.


Title  Tensors, differential forms and variational principles 
Author(s)  David Lovelock;Hanno Rund 
Edition  Corrected and revised Dover republication of the work originally published by John Wiley and Sons, New York, 1975 
Publication  New York, Dover Publications, Inc., 1988. 
Description  xi, 366p. 
Contents Note  The aim of this book is to present a selfcontained, reasonably modern account of tensor analysisand the calculus of exterior differential forms, adapted to the needs of physicists, engineers and applied mathematicians. 
ISBN,Price  0486658406 : US$ 16.95 
Classification  514.7

Keyword(s)  1. DIFFERENTIAL FORMS
2. TENSORS
3. VARIATIONAL PRINCIPLES

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
020758 

514.7/LOV/020758 
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