Emmy Noether's Wonderful Theorem

A beautiful piece of mathematics Noethers Theorem touches on every aspect of physics. Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance the theorem shows that a system invariant under translations of time space or rotation will obey the laws of conservation of energy linear momentum or angular momentum respectively. This exciting result offers a rich unifying principle for all of physics. Dwight E. Neuenschwanders introduction to the theorems genesis applications and consequences artfully unpacks its universal importance and unsurpassed elegance. Drawing from over thirty years of teaching the subject Neuenschwander uses mechanics optics geometry and field theory to point the way to a deep understanding of Noethers Theorem. The three sections provide a step-by-step simple approach to the less-complex concepts surrounding the theorem in turn instilling the knowledge and confidence needed to grasp the full wonder it encompasses. Illustrations and worked examples throughout each chapter serve as signposts on the way to this apex of physics. Noethers Theorem is an essential principle of post-introductory physics. This handy guide includes end-of-chapter questions for review and appendixes detailing key related physics concepts for further study.