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This book written primarily for the young adult reader tells the life story of Emmy Noether the most important female mathematician of our time Because no one expected her to grow into an important scientist the records of her early life are sketchy After all it was assumed that she would grow up to be a wife and mother Instead she was a genius who chose a distinctive path The author has woven this charming story of Emmy Noethers life around the events that appear in the oral and written records fleshing out the story with details about life in Germany at the time and what we know about how bright children explore mathematics
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Emmy Noether 18821935 was one of the most influential mathematicians of the 20th century The development of abstract algebra which is one of the most distinctive innovations of 20th century mathematics can largely be traced back to her in her published papers lectures and her personal influence on her contemporaries By now her contributions have become so thoroughly absorbed into our mathematical culture that only rarely are they specifically attributed to her This book presents an extensive collection of her workAlbert Einstein wrote in a letter to the New York Times of May 1st 1935In 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 In the realm of algebra in which the most gifted mathematicians have been busy for centuries she discovered methods which have proved of enormous importance in the development of the presentday younger generation of mathematiciansEmmy Noether leistete grundlegende Arbeiten zur Abstrakten Algebra Ihre Auffassung von Mathematik war sehr nützlich für die damalige Physik aber wurde auch kontrovers diskutiert Die Debatte ging darum ob Mathematik eher konzeptuell und abstract intuitionistisch oder mehr physikalisch basiert und angewandt konstruktionistisch sein sollte Noethers konzeptuelle Auffassung der Algebra führte zu neuen Grundlagen die Algebra Geometrie Lineare Algebra Topologie und Logik vereinheitlichten
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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 opticsgeometry and field theory to point the way to a deep understanding of Noethers Theorem The three sections provide a stepbystep simple approach to the lesscomplex 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 postintroductory physics This handy guide includes endofchapter questions for review and appendixes detailing key related physics concepts for further study
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