The Noether Theorems (Record no. 105056)

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001 - CONTROL NUMBER
control field 978-0-387-87868-3
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fixed length control field 101117s2011 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387878683
-- 978-0-387-87868-3
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-387-87868-3
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA21-27
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBX
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT015000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510.9
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kosmann-Schwarzbach, Yvette.
Relator term author.
245 14 - TITLE STATEMENT
Title The Noether Theorems
Medium [electronic resource] :
Remainder of title Invariance and Conservation Laws in the Twentieth Century /
Statement of responsibility, etc by Yvette Kosmann-Schwarzbach.
250 ## - EDITION STATEMENT
Edition statement 1.
264 #1 -
-- New York, NY :
-- Springer New York,
-- 2011.
300 ## - PHYSICAL DESCRIPTION
Extent XIII, 205 p.
Other physical details online resource.
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-- online resource
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490 1# - SERIES STATEMENT
Series statement Sources and Studies in the History of Mathematics and Physical Sciences
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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, 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 ## - SUMMARY, ETC.
Summary, etc In 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 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics_$xHistory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element History of Mathematics.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780387878676
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Sources and Studies in the History of Mathematics and Physical Sciences
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-387-87868-3
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