Emmy Noether's Wonderful Theorem

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9780801896941: 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 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

About the Author :

Dwight E. Neuenschwander is a professor of physics at Southern Nazarene University and editor of the Society of Physics Students Publications of the American Institute of Physics. He won the Excellence in Undergraduate Physics Teaching Award from the American Association of Physics Teachers.

Review :

"Neuenschwander displays the instincts of a good teacher and writes clearly. Using Noether's Theorem as an overarching principle across areas of theoretical physics, he helps students gain a more integrated picture of what sometimes seem to be independent courses―an ever-important thing for undergraduate physics education."

(Dr. Cliff Chancey, University of Northern Iowa)

"Neuenschwander writes well and gives thorough explanations."

(Choice)

"Without entering into technicalities, the author nevertheless succeeds in preserving a reasonable standard of mathematical rigor and, above all, in convincing the reader of the mathematical beauty and physical relevance of Noether's theorem. If only for that reason, I can strongly recommend this book."

(Frans Cantrijn Mathematical Reviews)

"A very readable and concrete introduction to symmetry and invariance in physics with Noether's (first) theorem providing a unifying theme... The style of writing is very engaging and conveys the enthusiasm of the author... The book contains many interesting examples as well as excellent exercises."

(James Vickers London Mathematical Society Newsletter)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Dwight E. Neuenschwander
Edité par JOHNS HOPKINS UNIVERSITY PRESS, United States (2011)
ISBN 10 : 0801896940 ISBN 13 : 9780801896941
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Description du livre JOHNS HOPKINS UNIVERSITY PRESS, United States, 2011. Paperback. État : New. Language: English . Brand New Book. 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 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. N° de réf. du libraire AAH9780801896941

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Dwight Neuenschwander
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ISBN 10 : 0801896940 ISBN 13 : 9780801896941
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Dwight E. Neuenschwander
Edité par JOHNS HOPKINS UNIVERSITY PRESS, United States (2011)
ISBN 10 : 0801896940 ISBN 13 : 9780801896941
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Description du livre JOHNS HOPKINS UNIVERSITY PRESS, United States, 2011. Paperback. État : New. Language: English . Brand New Book. 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 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. N° de réf. du libraire AAH9780801896941

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Dwight E Neuenschwander
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ISBN 10 : 0801896940 ISBN 13 : 9780801896941
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Description du livre The Johns Hopkins University Press, 2010. État : New. 2010. 1st Edition. Paperback. This handy guide includes end-of-chapter questions for review and appendixes detailing key related physics concepts for further study. Num Pages: 264 pages, 15, 15 black & white line drawings. BIC Classification: PBW; PH. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 217 x 141 x 17. Weight in Grams: 320. . . . . . . N° de réf. du libraire V9780801896941

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Description du livre The Johns Hopkins University Press. État : New. 2010. 1st Edition. Paperback. This handy guide includes end-of-chapter questions for review and appendixes detailing key related physics concepts for further study. Num Pages: 264 pages, 15, 15 black & white line drawings. BIC Classification: PBW; PH. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 217 x 141 x 17. Weight in Grams: 320. . . . . . Books ship from the US and Ireland. N° de réf. du libraire V9780801896941

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