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	<id>https://invarians.org/index.php?action=history&amp;feed=atom&amp;title=Noether%27s_theorems%2FBibliography</id>
	<title>Noether&#039;s theorems/Bibliography - Revision history</title>
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	<updated>2026-10-21T08:19:15Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://invarians.org/index.php?title=Noether%27s_theorems/Bibliography&amp;diff=6656&amp;oldid=prev</id>
		<title>PMA Publisher: Published from the Principia Machina source</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=Noether%27s_theorems/Bibliography&amp;diff=6656&amp;oldid=prev"/>
		<updated>2026-10-15T19:30:28Z</updated>

		<summary type="html">&lt;p&gt;Published from the Principia Machina source&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:30, 15 October 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{DISPLAYTITLE:Bibliography}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{DISPLAYTITLE:Bibliography}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Noether&#039;s theorems map}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Weighted toward primary sources, and &amp;#039;&amp;#039;&amp;#039;every entry carries its reachability&amp;#039;&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Weighted toward primary sources, and &amp;#039;&amp;#039;&amp;#039;every entry carries its reachability&amp;#039;&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l67&quot;&gt;Line 67:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 68:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Noether&amp;#039;s theorems/History/The recovery in field theory|the page carrying&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Noether&amp;#039;s theorems/History/The recovery in field theory|the page carrying&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;them]] states that none was checked against the primary papers.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;them]] states that none was checked against the primary papers.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;/table&gt;</summary>
		<author><name>PMA Publisher</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=Noether%27s_theorems/Bibliography&amp;diff=435&amp;oldid=prev</id>
		<title>BFP Rauch: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=Noether%27s_theorems/Bibliography&amp;diff=435&amp;oldid=prev"/>
		<updated>2026-09-10T13:29:54Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 13:29, 10 September 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>BFP Rauch</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=Noether%27s_theorems/Bibliography&amp;diff=434&amp;oldid=prev</id>
		<title>NT&gt;NoetherVolumeBuild: Noether theorems volume, initial import (R-06)</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=Noether%27s_theorems/Bibliography&amp;diff=434&amp;oldid=prev"/>
		<updated>2026-09-10T00:00:00Z</updated>

		<summary type="html">&lt;p&gt;Noether theorems volume, initial import (R-06)&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{DISPLAYTITLE:Bibliography}}&lt;br /&gt;
&lt;br /&gt;
Weighted toward primary sources, and &amp;#039;&amp;#039;&amp;#039;every entry carries its reachability&amp;#039;&amp;#039;&amp;#039;.&lt;br /&gt;
That last column is unusual in a bibliography and it is the point: five of the&lt;br /&gt;
nine primary sources below were not read during the writing of this volume, and a&lt;br /&gt;
reader is entitled to know which.&lt;br /&gt;
&lt;br /&gt;
The full account of what that cost is on&lt;br /&gt;
[[Noether&amp;#039;s theorems/Sources|the sources page]].&lt;br /&gt;
&lt;br /&gt;
== Primary ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
! work !! reachability !! consequence for this volume&lt;br /&gt;
|-&lt;br /&gt;
| Noether, &amp;#039;&amp;#039;Invariante Variationsprobleme&amp;#039;&amp;#039;, Göttinger &amp;#039;&amp;#039;Nachrichten&amp;#039;&amp;#039;, Math.-Phys. Klasse (1918), 235–257 || &amp;#039;&amp;#039;&amp;#039;read in full.&amp;#039;&amp;#039;&amp;#039; German original, public domain, text-bearing with the mathematics intact || her equations are reproduced verbatim in her notation. This is the only source in the volume that is quotable&lt;br /&gt;
|-&lt;br /&gt;
| Tavel, English translation, &amp;#039;&amp;#039;Transport Theory and Statistical Physics&amp;#039;&amp;#039; 1:3 (1971), 183–207 || located, reachable || &amp;#039;&amp;#039;&amp;#039;under copyright.&amp;#039;&amp;#039;&amp;#039; No English wording of Noether&amp;#039;s is transcribed anywhere in this volume&lt;br /&gt;
|-&lt;br /&gt;
| Klein, &amp;#039;&amp;#039;Über die Differentialgesetze für die Erhaltung von Impuls und Energie&amp;#039;&amp;#039;, &amp;#039;&amp;#039;Nachrichten&amp;#039;&amp;#039; (1918), 171–189 || read in a modern English translation, mathematics intact; the German original was not reached || content verified, wording not quotable, since the translation&amp;#039;s terms of reuse were not established&lt;br /&gt;
|-&lt;br /&gt;
| Klein, &amp;#039;&amp;#039;Zu Hilberts erster Note über die Grundlagen der Physik&amp;#039;&amp;#039;, &amp;#039;&amp;#039;Nachrichten&amp;#039;&amp;#039; (1917), 469–482 || an open English translation was located but not read || summarised only&lt;br /&gt;
|-&lt;br /&gt;
| Klein, on the integral form of the conservation laws, &amp;#039;&amp;#039;Nachrichten&amp;#039;&amp;#039; (1918), 394–423 || not reached || not used&lt;br /&gt;
|-&lt;br /&gt;
| Hilbert, &amp;#039;&amp;#039;Die Grundlagen der Physik&amp;#039;&amp;#039;, first communication, &amp;#039;&amp;#039;Nachrichten&amp;#039;&amp;#039; (1915), 395–407 || &amp;#039;&amp;#039;&amp;#039;not reached.&amp;#039;&amp;#039;&amp;#039; Only an OCR-damaged copy of the second communication was located || summarised, never quoted&lt;br /&gt;
|-&lt;br /&gt;
| Bessel-Hagen, &amp;#039;&amp;#039;Über die Erhaltungssätze der Elektrodynamik&amp;#039;&amp;#039;, &amp;#039;&amp;#039;Mathematische Annalen&amp;#039;&amp;#039; 84 (1921), 258–276 || &amp;#039;&amp;#039;&amp;#039;not reached.&amp;#039;&amp;#039;&amp;#039; Indexed and digitised, but no copy was retrievable || the divergence-invariance account is from secondary literature&lt;br /&gt;
|-&lt;br /&gt;
| Weyl, &amp;#039;&amp;#039;Gravitation und Elektrizität&amp;#039;&amp;#039;, Sitzungsberichte der Preussischen Akademie (1918), 465–480 || &amp;#039;&amp;#039;&amp;#039;not reached&amp;#039;&amp;#039;&amp;#039; || cited only as a precursor Noether names&lt;br /&gt;
|-&lt;br /&gt;
| Lie, &amp;#039;&amp;#039;Grundlagen für die Theorie der unendlichen kontinuierlichen Transformationsgruppen&amp;#039;&amp;#039;, Berichte der Sächsischen Gesellschaft (1891) || &amp;#039;&amp;#039;&amp;#039;not reached&amp;#039;&amp;#039;&amp;#039; || Noether&amp;#039;s three citations to it are reported as hers, including Theorem VII at page 391&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Precursors Noether names herself ==&lt;br /&gt;
&lt;br /&gt;
From her own footnotes, with the loci she gives. None was read.&lt;br /&gt;
&lt;br /&gt;
Hamel, &amp;#039;&amp;#039;Mathematische Annalen&amp;#039;&amp;#039; 59, and &amp;#039;&amp;#039;Zeitschrift für Mathematik und&lt;br /&gt;
Physik&amp;#039;&amp;#039; 50. Herglotz, &amp;#039;&amp;#039;Annalen der Physik&amp;#039;&amp;#039; fourth series 36, section 9 at page&lt;br /&gt;
511. Fokker, &amp;#039;&amp;#039;Verslag&amp;#039;&amp;#039; of the Amsterdam Academy, 27 January 1917. Kneser,&lt;br /&gt;
&amp;#039;&amp;#039;Mathematische Zeitschrift&amp;#039;&amp;#039; 2. Engel, Göttinger &amp;#039;&amp;#039;Nachrichten&amp;#039;&amp;#039; 1916, page 270.&lt;br /&gt;
She also refers the reader to Klein&amp;#039;s second note for further literature.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;A caution.&amp;#039;&amp;#039;&amp;#039; Secondary reference lists sometimes give different Hamel papers&lt;br /&gt;
from the ones she cites. The loci above are hers, read from her footnotes.&lt;br /&gt;
&lt;br /&gt;
== Secondary ==&lt;br /&gt;
&lt;br /&gt;
Kosmann-Schwarzbach, &amp;#039;&amp;#039;The Noether Theorems: Invariance and Conservation Laws in&lt;br /&gt;
the Twentieth Century&amp;#039;&amp;#039;, Springer 2011, translated from the French of 2004. The&lt;br /&gt;
standard scholarly treatment. Under copyright and not read. Her own open-access&lt;br /&gt;
article on the theorems in context was located and carries much of the same&lt;br /&gt;
historical material, including the correspondence chronology used on&lt;br /&gt;
[[Noether&amp;#039;s theorems/Chronology|the chronology page]].&lt;br /&gt;
&lt;br /&gt;
Hilbert&amp;#039;s consolidated reprint of both communications, &amp;#039;&amp;#039;Mathematische Annalen&amp;#039;&amp;#039;&lt;br /&gt;
92 (1924), 1–32, which records the division of credit between Klein and Noether.&lt;br /&gt;
Not reached in full text.&lt;br /&gt;
&lt;br /&gt;
== Also cited, none read ==&lt;br /&gt;
&lt;br /&gt;
Belinfante and Rosenfeld on the improvement of the stress-energy tensor; Hill&amp;#039;s&lt;br /&gt;
1951 review; Yang and Mills 1954; Utiyama 1956 and Kibble 1961; Trautman from&lt;br /&gt;
1962; Ward and Takahashi. These are the waypoints the secondary literature&lt;br /&gt;
commonly gives for the theorem&amp;#039;s return to physics, and&lt;br /&gt;
[[Noether&amp;#039;s theorems/History/The recovery in field theory|the page carrying&lt;br /&gt;
them]] states that none was checked against the primary papers.&lt;br /&gt;
&lt;/div&gt;</summary>
		<author><name>NT&gt;NoetherVolumeBuild</name></author>
	</entry>
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