000			01563nam a22001937a 4500
003			OSt
005			20240926145733.0
008			220915b |||||||| |||| 00| 0 eng d
020			_a9780801896941
040			_aICTS-TIFR
050			_aQA174.17.S9
100			_aNeuenschwander, Dwight E.
245			_aEmmy Noether's wonderful theorem
260			_aBaltimore, Md.: _bJohns Hopkins University Press, _c[c2011]
300			_a243 p.
505			_a1 PROLOGUE; Part I- WHEN FUNCTIONALS ARE EXTREMAL; 2 Functionals; 3 Extremals; Part II- When functionals are invariant; 4 Invariance; 5 Emmy Noether's Elegant Theorem; Part III- THE INVARIANCE OF FIELDS; 6 Fields and Noether's theorem; 7 Gauge Invariance as a dynamical principle; Part IV- POST-NOETHER INVARIANCE; 8 Invariance in phase space; 9 The action as a generator; APPENDIXES; A. Scalars, vectors, tensors, and coordinate transformations; B. Special relativity; C. Equations of motion in quantum mechanics; D. Legendre transformations and conjugate variables; E. The Jacobian; Bibliography; Index
520			_a"A beautiful piece of mathematics, Noether's Theorem touches on every aspect of physics. Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance, the theorem shows that a system invariant under translations of time, space, or rotation will obey the laws of conservation of energy, linear momentum, or angular momentum, respectively.
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999			_c3177 _d3177