9781421422671-1421422670-Emmy Noether's Wonderful Theorem

Emmy Noether's Wonderful Theorem

ISBN-13: 9781421422671
ISBN-10: 1421422670
Edition: revised and updated edition
Author: Neuenschwander, Dwight E.
Publication date: 2017
Publisher: Johns Hopkins University Press
Format: Paperback 344 pages
FREE shipping on ALL orders

Book details

ISBN-13: 9781421422671
ISBN-10: 1421422670
Edition: revised and updated edition
Author: Neuenschwander, Dwight E.
Publication date: 2017
Publisher: Johns Hopkins University Press
Format: Paperback 344 pages

Summary

Acknowledged authors Neuenschwander, Dwight E. wrote Emmy Noether's Wonderful Theorem comprising 344 pages back in 2017. Textbook and eTextbook are published under ISBN 1421422670 and 9781421422671. Since then Emmy Noether's Wonderful Theorem textbook was available to sell back to BooksRun online for the top buyback price of $ 4.04 or rent at the marketplace.

Description

One of the most important―and beautiful―mathematical solutions ever devised, Noether’s theorem touches on every aspect of physics.

"In the judgment of the most competent living mathematicians, Fräulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began."―Albert Einstein

The year was 1915, and the young mathematician Emmy Noether had just settled into Göttingen University when Albert Einstein visited to lecture on his nearly finished general theory of relativity. Two leading mathematicians of the day, David Hilbert and Felix Klein, dug into the new theory with gusto, but had difficulty reconciling it with what was known about the conservation of energy. Knowing of her expertise in invariance theory, they requested Noether’s help. To solve the problem, she developed a novel theorem, applicable across all of physics, which relates conservation laws to continuous symmetries―one of the most important pieces of mathematical reasoning ever developed.

Noether’s "first" and "second" theorem was published in 1918. The first theorem relates symmetries under global spacetime transformations to the conservation of energy and momentum, and symmetry under global gauge transformations to charge conservation. In continuum mechanics and field theories, these conservation laws are expressed as equations of continuity. The second theorem, an extension of the first, allows transformations with local gauge invariance, and the equations of continuity acquire the covariant derivative characteristic of coupled matter-field systems. General relativity, it turns out, exhibits local gauge invariance. Noether’s theorem also laid the foundation for later generations to apply local gauge invariance to theories of elementary particle interactions.

In Dwight E. Neuenschwander’s new edition of Emmy Noether’s Wonderful Theorem, readers will encounter an updated explanation of Noether’s "first" theorem. The discussion of local gauge invariance has been expanded into a detailed presentation of the motivation, proof, and applications of the "second" theorem, including Noether’s resolution of concerns about general relativity. Other refinements in the new edition include an enlarged biography of Emmy Noether’s life and work, parallels drawn between the present approach and Noether’s original 1918 paper, and a summary of the logic behind Noether’s theorem.

Rate this book Rate this book

We would LOVE it if you could help us and other readers by reviewing the book