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020			_a9780387878683 _9978-0-387-87868-3
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050		4	_aQA21-27
082	0	4	_a510.9 _223
100	1		_aKosmann-Schwarzbach, Yvette. _eauthor.
245	1	4	_aThe Noether Theorems _h[recurso electrónico] : _bInvariance and Conservation Laws in the Twentieth Century / _cby Yvette Kosmann-Schwarzbach.
250			_a1.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2011.
300			_aXIII, 205 p. 8 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSources and Studies in the History of Mathematics and Physical Sciences, _x2196-8810
505	0		_aPreface.-Acknowledgements -- I. "Invariant Variational Problems". II -- Invariance and Conservation Laws in the Twentieth Century. The Inception and Reception of the Noether Theorems. - 1. The Inception of the Noether Theorems. -2. The Noether Theorems.-3. The Noether Theorems as Seen by Contemporaries and by Historians of Science.-4. From Bessel-Hagen to Hill, 1921–1951.-5. The Reception of Noether's First Theorem after 1950.-6. The Reception of Noether's Second Theorem after 1950.-7. After 1970—Genuine Generalizations.-Conclusion.-Appendix I. Postcard from Noether to Klein.-Appendix II. Letter from Noether to Klein. -Appendix III. Letter from Klein to Pauli.-Appendix IV. Letter from Noether to Einstein.-Lectures at the Mathematical Society of Göttingen.-References.-Index.
520			_aIn 1915 Emmy Noether was invited by Klein and Hilbert to Göttingen to assist them in understanding the law of conservation of energy in Einstein’s new general theory of relativity. She succeeded brilliantly. In the Invariante Variationsprobleme, published in 1918, she proved a fundamental theorem linking invariance properties and conservation laws in any theory formulated in terms of a variational principle, and she stated a second theorem which put a conjecture of Hilbert in perspective and furnished a proof of a much more general result. This book makes the Invariante Variationsprobleme accessible in an English translation. It presents an analysis of the work of Noether’s precursors, reformulates her argument in a more modern mathematical language, and recounts the strange history of the article’s reception in the mathematics and physics communities. This study shows how her two theorems ultimately became the basis for any deep understanding of the role of symmetries in both classical and quantum physics. The Noether Theorems, a translation of Les Théorèmes de Noether whose French text has been revised and expanded, provides rich documentation drawn from both primary and secondary sources. This book will be of interest to historians of science, to teachers of mathematics, mechanics and physics, and to mathematicians and mathematical physicists. Also by Yvette Kosmann-Schwarzbach: Groups and Symmetries: From Finite Groups to Lie Groups, 2010 Springer, ISBN: 978-0-387-78865-4.
650		0	_aMathematics.
650	1	4	_aMathematics.
650	2	4	_aHistory of Mathematical Sciences.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387878676
830		0	_aSources and Studies in the History of Mathematics and Physical Sciences, _x2196-8810
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-387-87868-3
596			_a19
942			_cLIBRO_ELEC
999			_c198192 _d198192