000			03593nam a22004335i 4500
001			978-0-387-32793-8
003			DE-He213
005			20250710083950.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387327938 _a99780387327938
024	7		_a10.1007/978-0-387-32793-8 _2doi
082	0	4	_a530.1 _223
100	1		_aKoks, Don. _eauthor.
245	1	0	_aExplorations in Mathematical Physics _h[recurso electrónico] : _bThe Concepts Behind an Elegant Language / _cby Don Koks.
264		1	_aNew York, NY : _bSpringer New York, _c2006.
300			_aXV, 544 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aThe Language of Physics -- A Trip Down Linear Lane -- The Natural Language of Random Processes -- A Roundabout Route to Geometric Algebra -- Special Relativity and the Lorentz Transform -- Four-Vectors and the Road to Tensors -- Accelerated Frames: Onward to the Principle of Covariance -- The Elegance and Power of Tensor Notation -- Curvature and Differential Geometry -- Variational Calculus and Field Theory -- The Green Function Approach to Solving Field Equations -- Airliners, Black Holes, and Cosmology: The ABC of General Relativity.
520			_aHave you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You'll see how the accelerated frames of special relativity tell us about gravity. On the journey, you'll discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
650		0	_aPHYSICS.
650		0	_aQUANTUM THEORY.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aPHYSICS.
650	2	4	_aMATHEMATICAL AND COMPUTATIONAL PHYSICS.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aPHYSICS, GENERAL.
650	2	4	_aQUANTUM PHYSICS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387309439
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-32793-8 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-PHA
942			_2ddc _cER
999			_c57203 _d57203