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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Tristan Needham |
Visual differential geometry and forms: A Mathematical Drama in Five Acts |
026961 |
2021 |
Book |
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| 2 |
DRAINE, BRUCE T. |
FP - Physics of the interstellar and intergalactic medium |
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2010 |
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Asteroseismic Data Analysis: Foundations and Techniques |
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eBook |
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Abraham ,Loeb et al |
First galaxies in the universe |
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eBook |
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Formative years of relativity: The History and Meaning of Einstein's Princeton Lectures |
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eBook |
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| 6 |
von Neumann |
Mathematical foundations of quantum mechanics |
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eBook |
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| 7 |
Giovanni Zocchi |
Molecular machines: A Materials Science Approach |
OB1519 |
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eBook |
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| 8 |
Hanoch Gutfreund |
Road to relativity: The History and Meaning of Einstein's "The Foundation of General Relativity", Featuring the Original Manuscr |
OB1460 |
2017 |
eBook |
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| 9 |
Zeljko Ivezi |
Statistics, data mining, and machine learning in astronomy: A Practical Python Guide for the Analysis of Survey Data |
OB1441 |
2014 |
eBook |
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| 10 |
Joshua S. Bloom |
What are gamma-ray bursts? |
OB1409 |
2011 |
eBook |
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| Title | Visual differential geometry and forms: A Mathematical Drama in Five Acts |
| Author(s) | Tristan Needham |
| Publication | USA, Princeton University Press, 2021. |
| Description | PB : 584pp |
| Abstract Note | An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner.Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book.Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught. |
| ISBN,Price | 978-0691203706 : $ 45.00 |
| Classification | 1. 514.7 NEE
2. 514.77 NEE
3. 517.7 NEE
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| Keyword(s) | 1. DIFFERENTIAL GEOMETRY
2. Forms
3. Geometry and Forms
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| Item Type | Book |
Circulation Data
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Call# | Status | Issued To | Return Due On | Physical Location |
| 026961 |
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