000			04312cam a2200517Ia 4500
001			ocn316566723
003			OCoLC
005			20141103172226.0
006			m o d
007			cr cn|||||||||
008			090320s1988 ne a ob 001 0 eng d
040			_aOPELS _beng _cOPELS _dOPELS _dOCLCQ _dOCLCF _dOCLCO _dDEBBG
020			_a9780444704436
020			_a0444704434
029	1		_aNZ1 _b15193171
029	1		_aDEBBG _bBV036962628
029	1		_aDEBSZ _b407392483
035			_a(OCoLC)316566723
037			_a124951:122823 _bElsevier Science & Technology _nhttp://www.sciencedirect.com
050		4	_aQA1 _b.N86 no. 121eb
050		4	_aQC20 _b.C37 1988eb
082	0	4	_a510 _222
082	0	4	_a530.1/5 _222
049			_aTEFA
100	1		_aCarroll, Robert Wayne, _d1930-
245	1	0	_aMathematical physics _h[electronic resource] / _cRobert Carroll.
260			_aAmsterdam ; _aNew York : _bNorth-Holland ; _aNew York, N.Y., U.S.A. : _bSole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., _c1988.
300			_a1 online resource (x, 399 p.) : _bill.
490	1		_aNorth-Holland mathematics studies ; _v152
490	1		_aNotas de matem�atica ; _v121
520			_aAn introduction to the important areas of mathematical physics, this volume starts with basic ideas and proceeds (sometimes rapidly) to a more sophisticated level, often to the context of current research. All of the necessary functional analysis and differential geometry is included, along with basic calculus of variations and partial differential equations (linear and nonlinear). An introduction to classical and quantum mechanics is given with topics in Feynman integrals, gauge fields, geometric quantization, attractors for PDE, Ginzburg-Landau Equations in superconductivity, Navier-Stokes equations, soliton theory, inverse problems and ill-posed problems, scattering theory, convex analysis, variational inequalities, nonlinear semigroups, etc. Contents: 1. Classical Ideas and Problems. Introduction. Some Preliminary Variational Ideas. Various Differential Equations and Their Origins. Linear Second Order PDE. Further Topics in the Calculus of Variations. Spectral Theory for Ordinary Differential Operators, Transmutation, and Inverse Problems. Introduction to Classical Mechanics. Introduction to Quantum Mechanics. Weak Problems in PDE. Some Nonlinear PDE. Ill-Posed Problems and Regularization. 2. Scattering Theory and Solitons. Introduction. Scattering Theory I (Operator Theory). Scattering Theory II (3-D). Scattering Theory III (A Medley of Themes). Scattering Theory IV (Spectral Methods in 3-D). Systems and Half Line Problems. Relations between Potentials and Spectral Data. Introduction to Soliton Theory. Solitons via AKNS Systems. Soliton Theory (Hamiltonian Structure). Some Topics in Integrable Systems. 3. Some Nonlinear Analysis: Some Geometric Formalism. Introduction. Nonlinear Analysis. Monotone Operators. Topological Methods. Convex Analysis. Nonlinear Semigroups and Monotone Sets. Variational Inequalities. Quantum Field Theory. Gauge Fields (Physics). Gauge Fields (Mathematics) and Geometric Quantization. Appendices: Introduction to Linear Functional Analysis. Selected Topics in Functional Analysis. Introduction to Differential Geometry. References. Index.
504			_aIncludes bibliographical references (p. 377-391) and index.
588			_aDescription based on print version record.
650		0	_aMathematical physics.
650		6	_aPhysique math�ematique.
650		7	_aPhysique math�ematique. _2ram
650		7	_aMathematical physics. _2fast _0(OCoLC)fst01012104
655		4	_aElectronic books.
776	0	8	_iPrint version: _aCarroll, Robert Wayne, 1930- _tMathematical physics. _dAmsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988 _z0444704434 _z9780444704436 _w(DLC) 88011195 _w(OCoLC)17873809
830		0	_aNorth-Holland mathematics studies ; _v152.
830		0	_aNotas de matem�atica (Rio de Janeiro, Brazil) ; _vno. 121.
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444704436
856	4		_uhttp://www.sciencedirect.com/science/publication?issn=03040208&volume=152 _3Volltext
942			_cEB
994			_aC0 _bTEF
999			_c21889 _d21889