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| 003 | DE-He213 | ||
| 005 | 20191011023627.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 xxu| s |||| 0|eng d | ||
| 020 | 6 | 4 |
_a9780817644741 _9978-0-8176-4474-1 |
| 024 | 8 | 7 |
_a10.1007/0-8176-4474-1 _2doi |
| 050 | 8 | 4 | _aQA641-670 |
| 072 | 8 | 7 |
_aPBMP _2bicssc |
| 072 | 8 | 7 |
_aMAT012030 _2bisacsh |
| 082 |
_a516.36 _223 |
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| 100 | 8 | 1 |
_aMallios, Anastasios. _eauthor. _932149 |
| 245 | 9 | 7 |
_aModern Differential Geometry in Gauge Theories _h[electronic resource] : _bMaxwell Fields, Volume I / _cby Anastasios Mallios. |
| 001 | 000047824 | ||
| 300 | 6 | 4 |
_aXVII, 293 p. _bonline resource. |
| 505 | 8 | 0 | _aMaxwell Fields: General Theory -- The Rudiments of Abstract Differential Geometry -- Elementary Particles: Sheaf-Theoretic Classification, by Spin-Structure, According to Selesnicks Correspondence Principle -- Electromagnetism -- Cohomological Classification of Maxwell and Hermitian Maxwell Fields -- Geometric Prequantization. |
| 520 | 6 | 4 | _aDifferential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the authors perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications. Modern Differential Geometry in Gauge Theories is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulated and used thereafter to describe elementary particles, electromagnetism, and geometric prequantization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology. Continuing in Volume 2, this sheaf-theoretic approach is applied to YangMills fields in general. The text contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity. |
| 650 | 8 | 0 |
_aMathematics. _98571 |
| 650 | 8 | 0 |
_aField theory (Physics). _912461 |
| 650 | 8 | 0 |
_aGlobal analysis. _917903 |
| 650 | 8 | 0 |
_aGlobal differential geometry. _99530 |
| 650 | 8 | 0 |
_aMathematical physics. _99251 |
| 650 | 8 | 0 |
_aQuantum theory. _912354 |
| 650 | 8 | 0 |
_aElectrodynamics. _910219 |
| 650 |
_aMathematics. _98571 |
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| 650 |
_aDifferential Geometry. _99532 |
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| 650 |
_aMathematical Methods in Physics. _99252 |
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| 650 |
_aField Theory and Polynomials. _912463 |
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| 650 |
_aElementary Particles, Quantum Field Theory. _912462 |
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| 650 |
_aClassical Electrodynamics, Wave Phenomena. _910221 |
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| 650 |
_aGlobal Analysis and Analysis on Manifolds. _917904 |
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| 710 | 8 | 2 |
_aSpringerLink (Online service) _932150 |
| 773 | 8 | 0 | _tSpringer eBooks |
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_iPrinted edition: _z9780817643782 |
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_uhttp://dx.doi.org/10.1007/0-8176-4474-1 _zde clik aquí para ver el libro electrónico |
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| 264 | 8 | 1 |
_aBoston, MA : _bBirkhuser Boston, _c2006. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
| 516 | 6 | 4 | _aZDB-2-SMA |
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