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100 1  Kosmann-Schwarzbach, Yvette.|eauthor. 
245 14 The Noether Theorems|h[electronic resource] :|bInvariance 
       and Conservation Laws in the Twentieth Century /|cby 
       Yvette Kosmann-Schwarzbach. 
250    1. 
260  1 New York, NY :|bSpringer New York :|bImprint: Springer,
       |c2011. 
300    XIII, 205 p. 8 illus.|bonline resource. 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
347    text file|bPDF|2rda 
490 1  Sources and Studies in the History of Mathematics and 
       Physical Sciences,|x2196-8810 
490 0  Springer eBooks.|aMathematics and Statistics 
505 0  Preface.-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, 1921́㱹51.-5. The 
       Reception of Noether's First Theorem after 1950.-6. The 
       Reception of Noether's Second Theorem after 1950.-7. After
       1970́䇥nuine 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    In 1915 Emmy Noether was invited by Klein and Hilbert to 
       Göttingen to assist them in understanding the law of 
       conservation of energy in Einsteiń鳠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 Noetheŕ鳠precursors, reformulates her argument in a 
       more modern mathematical language, and recounts the 
       strange history of the articlé鳠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 Mathematics. 
650  0 History. 
650 14 Mathematics. 
650 24 History of Mathematical Sciences. 
710 2  SpringerLink (Online service) 
773 0  |tSpringer eBooks 
776 08 |iPrinted edition:|z9780387878676 
830  0 Sources and Studies in the History of Mathematics and 
       Physical Sciences,|x2196-8810 
856 40 |zAcceso al texto completo|uhttp://dx.doi.org/10.1007/978-
       0-387-87868-3