000			02622nam a22002297a 4500
005			20180418110300.0
008			180404b xxu||||| |||| 00| 0 eng d
020			_a9780750306065
028			_aInternational Book Distributors _bFlat No.-17 , Prakash Apartment , 5 Ansari Road, Daryaganj , New Delhi. _c: 111849 _d: 24/02/2018
082			_a516.36 NAK
100			_aMikio Nakahara.
245			_aGeometry, topology, and physics. _c/ Mikio Nakahara.
260			_aBristol, England ; New York _b : Taylor & Francis _c, ©2003.
300			_axxii,573p. _c:24cm.
365			_b5369
490			_aGraduate student series in physics.
505			_aQuantum Physics -- Analytical mechanics -- Newtonian mechanics -- Lagrangian formalism -- Hamiltonian formalism -- Canonical quantization -- Hilbert space, bras and kets -- Axioms of canonical quantization -- Heisenberg equation, Heisenberg picture and Schrodinger picture -- Wavefunction -- Harmonic oscillator -- Path integral quantization of a Bose particle -- Path integral quantization -- Imaginary time and partition function -- Time-ordered product and generating functional -- Harmonic oscillator -- Transition amplitude -- Partition function -- Path integral quantization of a Fermi particle -- Fermionic harmonic oscillator -- Calculus of Grassmann numbers -- Differentiation -- Integration -- Delta-function -- Gaussian integral -- Functional derivative -- Complex conjugation -- Coherent states and completeness relation -- Partition function of a fermionic oscillator -- Quantization of a scalar field -- Free scalar field -- Interacting scalar field -- Quantization of a Dirac field -- Gauge theories -- Abelian gauge theories -- Non-Abelian gauge theories -- Higgs fields -- Magnetic monopoles -- Dirac monopole -- The Wu-Yang monopole -- Charge quantization -- Instantons -- The (anti- )self-dual solution -- Mathematical Preliminaries -- Equivalence relation and equivalence class -- Vector spaces -- Vectors and vector spaces -- Linear maps, images and kernels -- Dual vector space -- Inner product and adjoint -- Tensors -- Topological spaces -- Continuous maps -- Neighbourhoods and Hausdorff spaces -- Closed set.
520			_aThis book introduces several current mathematical methods to postgraduate students of theoretical physics. This is achieved by presenting applications of the mathematics to physics, high-energy physics, general relativity and condensed matter physics.
655			_aMathematics. _bTopology. _bPhysics - Mathematics _bGeometry.
700			_aMikio Nakahara.
942			_cMDL
999			_c49305 _d49305