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180611t20181994flu b ob 001 0 eng d |
| 005 |
20220613175751.4 |
| 020 |
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|a 9780203749791
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| 035 |
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|a (OCoLC)1034988763
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| 035 |
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|a 9780203749791
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| 040 |
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|a FlBoTFG
|c FlBoTFG
|e rda
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| 050 |
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4 |
|a QA614.92
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| 072 |
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7 |
|a MAT
|x 003000
|2 bisacsh
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| 072 |
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|a TEC
|x 009070
|2 bisacsh
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|a SCI
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|2 bisacsh
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|a PBW
|2 bicscc
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|a 514/.74
|2 23
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| 100 |
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|a Gilkey, Peter B.,
|e author.
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| 245 |
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|a Invariance theory :
|b the heat equation and the atiyah-singer index theorem /
|c by Peter B. Gilkey.
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| 264 |
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1 |
|a Boca Raton, FL :
|b CRC Press, an imprint of Taylor and Francis,
|c [2018].
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| 264 |
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4 |
|c ©1994.
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| 300 |
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|a 1 online resource (536 pages).
|
| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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|a Studies in advanced mathematics
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|a chapter 1 Pseudo-differential operators -- chapter 2 Characteristic classes -- chapter 3 The index theorem -- chapter 4 Spectral geom etry -- chapter 5 Bibliographic information.
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|a This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.
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| 650 |
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|a TECHNOLOGY & ENGINEERING / Mechanical.
|2 bisacsh
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| 650 |
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|a SCIENCE / Physics.
|2 bisacsh
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| 650 |
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|a Atiyah-Singer index theorem.
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| 650 |
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|a Differential operators.
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| 650 |
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|a Heat equation.
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| 650 |
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|a Invariants.
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| 650 |
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|a Manifolds (Mathematics)
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| 650 |
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|a MATHEMATICS / Topology.
|2 bisacsh
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| 655 |
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|a Electronic books.
|2 local
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| 710 |
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|a Taylor & Francis.
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| 710 |
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|a Taylor and Francis.
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|a MATHnetBASE.
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|i Print version:
|z 9780849378744
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| 830 |
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|a Studies in advanced mathematics.
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| 856 |
4 |
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|u http://proxy.library.tamu.edu/login?url=https://www.taylorfrancis.com/books/9780203749791
|z Connect to the full text of this electronic book
|t 0
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| 999 |
f |
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|s 7c7c459f-3dda-4fd6-b0ed-c13ece0b0277
|i 7c7c459f-3dda-4fd6-b0ed-c13ece0b0277
|t 0
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| 952 |
f |
f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|s www_evans
|d Available Online
|t 0
|e QA614.92
|h Library of Congress classification
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| 998 |
f |
f |
|a QA614.92
|t 0
|l Available Online
|