Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I Export

@book{citeulike:4781865, abstract = {Differential geometry, in the classical sense, is developed through the theoryof smooth manifolds. Modern differential geometry from the author'sperspective is used in this work to describe physical theories of a geometriccharacter without using any notion of calculus (smoothness). Instead, anaxiomatic treatment of differential geometry is presented via sheaf theory(geometry) and sheaf cohomology (analysis). Using vector sheaves, in place ofbundles, based on arbitrary topological spaces, this unique approach ingeneral furthers new perspectives and calculations that generate unexpectedpotential applications.\_Modern Differential Geometry in Gauge Theories\_ is a two-volume researchmonograph that systematically applies a sheaf-theoretic approach to suchphysical theories as gauge theory. Beginning with Volume 1, the focus is onMaxwell fields. All the basic concepts of this mathematical approach areformulated and used thereafter to describe elementary particles,electromagnetism, and geometric prequantization. Maxwell fields are fullyexamined and classified in the language of sheaf theory and sheaf cohomology.Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Millsfields in general.The text contains a wealth of detailed and rigorous computations and willappeal to mathematicians and physicists, along with advanced undergraduate andgraduate students, interested in applications of differential geometry tophysical theories such as general relativity, elementary particle physics andquantum gravity.}, author = {Mallios, Anastasios}, citeulike-article-id = {4781865}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0817643788}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0817643788}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0817643788}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/0817643788}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/0817643788/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0817643788}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/0817643788}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN0817643788}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=0817643788&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/0817643788}, day = {14}, edition = {1}, howpublished = {Paperback}, isbn = {0817643788}, keywords = {differential\_geometry, gauge\_theory}, month = {December}, posted-at = {2009-06-08 23:10:04}, priority = {2}, publisher = {Birkh\"{a}user Boston}, title = {Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0817643788}, year = {2005} }

TY - BOOK ID - citeulike:4781865 L3 - citeulike-article-id:4781865 N2 - Differential geometry, in the classical sense, is developed through the theoryof smooth manifolds. Modern differential geometry from the author’sperspective is used in this work to describe physical theories of a geometriccharacter without using any notion of calculus (smoothness). Instead, anaxiomatic treatment of differential geometry is presented via sheaf theory(geometry) and sheaf cohomology (analysis). Using vector sheaves, in place ofbundles, based on arbitrary topological spaces, this unique approach ingeneral furthers new perspectives and calculations that generate unexpectedpotential applications._Modern Differential Geometry in Gauge Theories_ is a two-volume researchmonograph that systematically applies a sheaf-theoretic approach to suchphysical theories as gauge theory. Beginning with Volume 1, the focus is onMaxwell fields. All the basic concepts of this mathematical approach areformulated and used thereafter to describe elementary particles,electromagnetism, and geometric prequantization. Maxwell fields are fullyexamined and classified in the language of sheaf theory and sheaf cohomology.Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Millsfields in general.The text contains a wealth of detailed and rigorous computations and willappeal to mathematicians and physicists, along with advanced undergraduate andgraduate students, interested in applications of differential geometry tophysical theories such as general relativity, elementary particle physics andquantum gravity. SN - 0817643788 TI - Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I PB - Birkhäuser Boston KW - differential_geometry KW - gauge_theory AU - Mallios, Anastasios PY - 2005/12/14/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0817643788 ER -