000			04728nam a22005777a 4500
001			sulb-eb0022792
003			BD-SySUS
005			20160413122318.0
007			cr nn 008mamaa
008			130906s2013 xxu| s |||| 0|eng d
020			_a9781461474227 _9978-1-4614-7422-7
024	7		_a10.1007/978-1-4614-7422-7 _2doi
050		4	_aQA401-425
050		4	_aQC19.2-20.85
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.15 _223
100	1		_aTonti, Enzo. _eauthor.
245	1	4	_aThe Mathematical Structure of Classical and Relativistic Physics _h[electronic resource] : _bA General Classification Diagram / _cby Enzo Tonti.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Birkhäuser, _c2013.
300			_aXXXVI, 514 p. 164 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aModeling and Simulation in Science, Engineering and Technology, _x2164-3679
505	0		_a1 Introduction -- Part I Analysis of variables and equations -- 2 Terminology revisited -- 3 Space and time elements and their orientation -- 4 Cell complexes -- 5 Analysis of physical variables -- 6 Analysis of physical equations -- 7 Algebraic topology -- 8 The birth of the classification diagrams -- Part II Analysis of physical theories -- 9 Particle dynamics -- 10 Electromagnetism -- 11 Mechanics of deformable solids -- 12 Mechanics of fluids -- 13 Other physical theories -- Part III Advanced analysis -- 14 General structure of the diagrams -- 15 The mathematical structure -- Part IV Appendices -- A Affine vector fields -- B Tensorial notation -- C On observable quantities -- D History of the diagram -- D.1 Historical remarks -- E List of physical variables -- F List of symbols used in this book -- G List of diagrams -- References.
520			_aThe theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence. Comparative study of physical theories has revealed the presence of a common topological and geometric structure. The Mathematical Structure of Classical and Relativistic Physics is the first book to analyze this structure in depth, thereby exposing the relationship between (a) global physical variables and (b) space and time elements such as points, lines, surfaces, instants, and intervals. Combining this relationship with the inner and outer orientation of space and time allows one to construct a classification diagram for variables, equations, and other theoretical characteristics. The book is divided into three parts. The first introduces the framework for the above-mentioned classification, methodically developing a geometric and topological formulation applicable to all physical laws and properties; the second applies this formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics, heat conduction, and gravitation. The third part further analyses the general structure of the classification diagram for variables and equations of physical theories. Suitable for a diverse audience of physicists, engineers, and mathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world. Written at a level accessible to graduate and advanced undergraduate students in mathematical physics, the book can be used as a research monograph across various areas of physics, engineering and mathematics, and as a supplemental text for a broad range of upper-level scientific coursework.
650		0	_aMathematics.
650		0	_aPartial differential equations.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650		0	_aAlgebraic topology.
650		0	_aMathematical physics.
650		0	_aPhysics.
650	1	4	_aMathematics.
650	2	4	_aMathematical Physics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aAlgebraic Topology.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aApplications of Mathematics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461474210
830		0	_aModeling and Simulation in Science, Engineering and Technology, _x2164-3679
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-7422-7
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c44884 _d44884