Emmy Noether s Wonderful Theorem A beautiful piece of mathematics Noether s Theorem touches on every aspect of physics Emmy Noether proved her theorem in and published it in This profound concept demonstrates the connectio
A beautiful piece of mathematics, Noether s 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 consA beautiful piece of mathematics, Noether s 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 Neuenschwander s introduction to the theorem s 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 Noether s 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.Noether s 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.

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I picked up this book because the first time I heard of Emmy Noether I was already a tenured physics professor, and this seemed a glaring omission that I wanted to understand. The truth turns out to be that it wasn't that I'd never seen applications of her theorem connecting symmetry and conservation, but the person behind it had been left out of all explanations of it. Did I miss hearing about Noether because I was an observational astronomer in grad school and really didn't pay any more attent [...]
Gleaned some things from this but it is over my head. I can't do an honest review because of the difficulty of the material. At least it is too difficult for a two day read this book is more like a semesterlong textbook and deserves a much closer reading and working through the many math problems that a casual read won't do.
This is amazing, well written and argued, with thoughtful questions, and I'm just talking about the stuff explaining classical mechanics. Incidentally, the converse of Noether's theorem is also true: physical conservation laws imply symmetries pp 75 to 79. I've always been curious why we don't read it that way since all of our information about spacetime comes through physical experiments in spacetime. Another surprise, Noether's theorem unites energy and momentum conservation already in prerel [...]
At the onset I treated this book as a hybrid between a popular physics book and a text book, perhaps something like Feynman's QED. I may have been right for the first few chapters but that perspective made reading the second half of this book a real challenge! Having gotten through it I would more accurately describe this as being an enthralling, elegant and readable textbook. Suitable for the physics graduate student and beyond, Emmy Noether's Wonderful Theorem begins by reviewing variational c [...]
I got this monograph because I one of my fictional characters becomes obsessed with Emmy Noether (he is a math geek who gets dumped by his wife). While I cannot recommend this book to anyone who isn't a math geek, I would urge everyone who has never heard of Emmy Noether to check out her page at enpedia/wiki/Emmy_Noe. This puts the lie to the notion that 'woman aren't hardwired to understand mathematics'. In addition to Noether's theorem, which has been described as one of the most important e [...]
This book is an excellent book to learn about the structure and implications of Emmy Noether's theorems tying together symmetry and conservation laws. It covers the formulations of the theorems (and related theorems) in both Lagrangian and Hamiltonian approaches, and gives plenty of examples including classical mechanics, special relativity, and shows how it carries over to quantum mechanics and quantum field theories.This is a textbook, which I didn't realize when I bought it. Each chapter ends [...]
Noether's theorem is one of the towering achievements of early twentieth century physics, in some ways even more illuminating than special relativity or the uncertainty principle. In shorthand it sounds so simple: every symmetry produces a conserved quantity, is one way to put it. The math behind the theorem is anything but simple, and it is those details which this book explores in elaborate and almost loving attention.I'd like to claim that I understood a full 5% of this book, and the theorem [...]
What a great book this would have been for me back as a young grad student (or older undergrad?). The math was just a little beyond me nowadays, but I recognize most of it as things I supposedly could do back in the day. This book puts it all in a nice package and motivates it all with central themes and overarching aesthetic sensibilities. Finding common ground in classical conservation laws, quantum mechanics, and principles of least action. I actually spent time looking at every page even [...]
Emmy Noether's Wonderful Theorem derives the eponymous theorem and then explores applications in various areas of physics. It's well written and engaging, with thought provoking questions and useful exercises.Noether's theorem relates symmetries in physics with conservation laws, and does so using tools that were later used in the development of quantum mechanics and field theory: variation calculus and Lagrangians.One chapter of the book gives a short biography of Emmy Noether, who was truly an [...]
Superb, but highly technical textbook of Noether's work on the relation of mathematical symmetry to physical laws.