Book with Good Discussion of Noether's Theorem?

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SUMMARY

The discussion centers on recommended books for understanding Noether's Theorem from a physics perspective. Neuenschwander's "Emmy Noether's Wonderful Theorem" is highlighted for its accessible discussion of the theorems and their applications, along with biographical context. In contrast, Kosmann-Schwarzbach's "The Noether Theorems" offers a historical analysis, including a translation of Noether's 1918 paper. Both texts are deemed suitable for advanced undergraduate students seeking a deeper comprehension of invariance and conserved quantities.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with Noether's Theorem and its implications
  • Basic knowledge of mathematical physics
  • Experience with advanced undergraduate-level physics texts
NEXT STEPS
  • Read Neuenschwander's "Emmy Noether's Wonderful Theorem" for practical applications of Noether's Theorem
  • Explore Kosmann-Schwarzbach's "The Noether Theorems" for historical context and original papers
  • Investigate additional resources on invariance and conserved quantities in physics
  • Study advanced mechanics textbooks that integrate mathematical rigor with conceptual explanations
USEFUL FOR

Students and educators in physics, particularly those focusing on theoretical mechanics and the foundational principles of symmetry and conservation laws.

MissSilvy
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I'm looking for a book that approaches it from preferably a physics slant (in terms of invariance, conserved quantities, and the like) but every mechanics textbook I've looked at gives a poor description. They're heavy on the math but they lack explanation or discussion of the results.
 
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Neuenschwander's "Emmy Noether's Wonderful Theorem" is a nice discussion of the theorems and applications along with some biographical information. Kosmann-Schwarzbach's "The Noether Theorems" has a translation and discussion of the 1918 paper and is a much more historical treatment of influence of the theorems. Both are advanced undergraduate texts.
 

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