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Click the serial number on the left to view the details of the item. |
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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 |
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| 2 |
Fecko Marian |
Differential geometry and lie groups for physicists |
023801 |
2001 |
Book |
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| 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 |
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2.
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| 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 self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.
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| ISBN,Price | 9780511755590 : UKP 38.00(PB) |
| Classification | 514.747:53
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| Keyword(s) | 1. DIFFERENTIAL FORMS
2. DIFFERENTIAL GEOMETRY
3. LIE GROUPS
4. MANIFOLDS
5. SPINORS
6. SYMPLECTIC GEOMETRY
7. TENSOR FIELDS
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| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 023801 |
|
514.747:53/FEC/023801 |
On Shelf |
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3.
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| 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 capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré 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 year-long course on advanced calculus and for a variety of semester courses--including 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
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| Item Type | Book |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 023607 |
|
517.2/CAL/023607 |
On Shelf |
|
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|
| I11976 |
|
517.2/CAL/ |
On Shelf |
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5.
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| 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 self-contained, 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 |
On Shelf |
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+Copy Specific Information | |