Emmy Noether – Mathematician Extraordinaire

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Publisher : Springer Nature
ISBN 13 : 3030638103
Total Pages : 339 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Emmy Noether – Mathematician Extraordinaire by : David E. Rowe

Download or read book Emmy Noether – Mathematician Extraordinaire written by David E. Rowe and published by Springer Nature. This book was released on 2021-01-09 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although she was famous as the "mother of modern algebra," Emmy Noether’s life and work have never been the subject of an authoritative scientific biography. Emmy Noether – Mathematician Extraordinaire represents the most comprehensive study of this singularly important mathematician to date. Focusing on key turning points, it aims to provide an overall interpretation of Noether’s intellectual development while offering a new assessment of her role in transforming the mathematics of the twentieth century. Hermann Weyl, her colleague before both fled to the United States in 1933, fully recognized that Noether’s dynamic school was the very heart and soul of the famous Göttingen community. Beyond her immediate circle of students, Emmy Noether’s lectures and seminars drew talented mathematicians from all over the world. Four of the most important were B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and Olga Taussky. Noether’s classic papers on ideal theory inspired van der Waerden to recast his research in algebraic geometry. Her lectures on group theory motivated Alexandrov to develop links between point set topology and combinatorial methods. Noether’s vision for a new approach to algebraic number theory gave Hasse the impetus to pursue a line of research that led to the Brauer–Hasse–Noether Theorem, whereas her abstract style clashed with Taussky’s approach to classical class field theory during a difficult time when both were trying to find their footing in a foreign country. Although similar to Proving It Her Way: Emmy Noether, a Life in Mathematics, this lengthier study addresses mathematically minded readers. Thus, it presents a detailed analysis of Emmy Noether’s work with Hilbert and Klein on mathematical problems connected with Einstein’s theory of relativity. These efforts culminated with her famous paper "Invariant Variational Problems," published one year before she joined the Göttingen faculty in 1919.

Emmy Noether -- Mathematician Extraordinaire

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Publisher :
ISBN 13 : 9783030638115
Total Pages : 357 pages
Book Rating : 4.6/5 (381 download)

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Book Synopsis Emmy Noether -- Mathematician Extraordinaire by : David E. Rowe

Download or read book Emmy Noether -- Mathematician Extraordinaire written by David E. Rowe and published by . This book was released on 2021 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although she was famous as the "mother of modern algebra," Emmy Noether's life and work have never been the subject of an authoritative scientific biography. Emmy Noether - Mathematician Extraordinaire represents the most comprehensive study of this singularly important mathematician to date. Focusing on key turning points, it aims to provide an overall interpretation of Noether's intellectual development while offering a new assessment of her role in transforming the mathematics of the twentieth century. Hermann Weyl, her colleague before both fled to the United States in 1933, fully recognized that Noether's dynamic school was the very heart and soul of the famous Göttingen community. Beyond her immediate circle of students, Emmy Noether's lectures and seminars drew talented mathematicians from all over the world. Four of the most important were B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and Olga Taussky. Noether's classic papers on ideal theory inspired van der Waerden to recast his research in algebraic geometry. Her lectures on group theory motivated Alexandrov to develop links between point set topology and combinatorial methods. Noether's vision for a new approach to algebraic number theory gave Hasse the impetus to pursue a line of research that led to the Brauer-Hasse-Noether Theorem, whereas her abstract style clashed with Taussky's approach to classical class field theory during a difficult time when both were trying to find their footing in a foreign country. Although similar to Proving It Her Way: Emmy Noether, a Life in Mathematics, this lengthier study addresses mathematically minded readers. Thus, it presents a detailed analysis of Emmy Noether's work with Hilbert and Klein on mathematical problems connected with Einstein's theory of relativity. These efforts culminated with her famous paper "Invariant Variational Problems," published one year before she joined the Göttingen faculty in 1919.

Proving It Her Way

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Publisher :
ISBN 13 : 3030628116
Total Pages : 259 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Proving It Her Way by : David E. Rowe

Download or read book Proving It Her Way written by David E. Rowe and published by . This book was released on 2020 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name Emmy Noether is one of the most celebrated in the history of mathematics. A brilliant algebraist and iconic figure for women in modern science, Noether exerted a strong influence on the younger mathematicians of her time and long thereafter; today, she is known worldwide as the "mother of modern algebra." Drawing on original archival material and recent research, this book follows Emmy Noethers career from her early years in Erlangen up until her tragic death in the United States. After solving a major outstanding problem in Einsteins theory of relativity, she was finally able to join the Göttingen faculty in 1919. Proving It Her Way offers a new perspective on an extraordinary career, first, by focusing on important figures in Noethers life and, second, by showing how she selflessly promoted the careers of several other talented individuals. By exploring her mathematical world, it aims to convey the personality and impact of a remarkable mathematician who literally changed the face of modern mathematics, despite the fact that, as a woman, she never held a regular professorship. Written for a general audience, this study uncovers the human dimensions of Noethers key relationships with a younger generation of mathematicians. Thematically, the authors took inspiration from their cooperation with the ensemble portraittheater Vienna in producing the play "Diving into Math with Emmy Noether." Four of the young mathematicians portrayed in Proving It Her Way - B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and Olga Taussky - also appear in "Diving into Math.".

Emmy Noether

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Author :
Publisher : CRC Press
ISBN 13 : 1439865345
Total Pages : 184 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Emmy Noether by : M. B. W. Tent

Download or read book Emmy Noether written by M. B. W. Tent and published by CRC Press. This book was released on 2008-10-10 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 g

Emmy Noether

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Author :
Publisher : Kids Can Press Ltd
ISBN 13 : 1525305867
Total Pages : 40 pages
Book Rating : 4.5/5 (253 download)

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Book Synopsis Emmy Noether by : Helaine Becker

Download or read book Emmy Noether written by Helaine Becker and published by Kids Can Press Ltd. This book was released on 2020-10-06 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging picture book biography of a groundbreaking female mathematician. Emmy Noether is not pretty, quiet or good at housework — all the things a girl of her time is expected to be. What she is, though, is brilliant at math. And when she grows up, she skirts the rules to first study math at a university and then teach it. She also helps to solve of the most pressing mathematical and physics problems of the day. And though she doesn’t get much credit during her lifetime, her discoveries continue to influence how we understand the world today. One of the most influential mathematicians of the twentieth century finally gets her due!

The Heritage of Emmy Noether

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Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Heritage of Emmy Noether by : Mina Teicher

Download or read book The Heritage of Emmy Noether written by Mina Teicher and published by . This book was released on 1999 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Named for the noted mathematician, the Emmy Noether Research Institute for Mathematics held a two-day conference dedicated to her heritage and her influence on mathematics and physics in the 20th and 21st centuries. This volume presents the proceedings of that conference. It includes a comprehensive description of Noether's contributions to commutative and noncommutative algebra, algebraic geometry, topology, and physics given by world experts in these fields. Also included is a profile of her life. The volume is a comprehensive collection of Noether's valuable contributions to mathematics and physics.

Emmy Noether's Wonderful Theorem

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Publisher : JHU Press
ISBN 13 : 1421422689
Total Pages : 338 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Emmy Noether's Wonderful Theorem by : Dwight E. Neuenschwander

Download or read book Emmy Noether's Wonderful Theorem written by Dwight E. Neuenschwander and published by JHU Press. This book was released on 2017-04-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Emmy Noether 1882–1935

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Publisher : Springer Science & Business Media
ISBN 13 : 1468405357
Total Pages : 213 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Emmy Noether 1882–1935 by : DICK

Download or read book Emmy Noether 1882–1935 written by DICK and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: N 1964 at the World's Fair in New York I City one room was dedicated solely to mathematics. The display included a very at tractive and informative mural, about 13 feet long, sponsored by one of the largest com puter manufacturing companies and present ing a brief survey of the history of mathemat ics. Entitled, "Men of Modern Mathematics," it gives an outline of the development of that science from approximately 1000 B. C. to the year of the exhibition. The first centuries of this time span are illustrated by pictures from the history of art and, in particular, architec ture; the period since 1500 is illuminated by portraits of mathematicians, including brief descriptions of their lives and professional achievements. Close to eighty portraits are crowded into a space of about fourteen square feet; among them, only one is of a woman. Her face-mature, intelligent, neither pretty nor handsome-may suggest her love of sci- 1 Emmy Noether ence and creative gift, but certainly reveals a likeable personality and a genuine kindness of heart. It is the portrait of Emmy Noether ( 1882 - 1935), surrounded by the likenesses of such famous men as Joseph Liouville (1809-1882), Georg Cantor (1845-1918), and David Hilbert (1862 -1943). It is accom panied by the following text: Emmy Noether, daughter of the mathemati cian Max, was often called "Der Noether," as if she were a man.

Emmy Noether in Bryn Mawr

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Publisher : Springer Science & Business Media
ISBN 13 : 1461255473
Total Pages : 183 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Emmy Noether in Bryn Mawr by : Bhama Srinivasan

Download or read book Emmy Noether in Bryn Mawr written by Bhama Srinivasan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sponsored by the Association for Women in Mathematics

Women Who Count: Honoring African American Women Mathematicians

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Publisher : American Mathematical Soc.
ISBN 13 : 1470448890
Total Pages : 138 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Women Who Count: Honoring African American Women Mathematicians by : Shelly M. Jones

Download or read book Women Who Count: Honoring African American Women Mathematicians written by Shelly M. Jones and published by American Mathematical Soc.. This book was released on 2019-07-30 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tessellations, palindromes, tangrams, oh my! Women Who Count: Honoring African American Women Mathematicians is a children's activity book highlighting the lives and work of 29 African American women mathematicians, including Dr. Christine Darden, Mary Jackson, Katherine Johnson, and Dorothy Vaughan from the award-winning book and movie Hidden Figures. Although the book is geared toward children in grades 3–8, it is appropriate for all ages. The book includes portrait sketches and biographies for the featured mathematicians, each followed by elementary-school and middle-school activity pages. Children will enjoy uncovering mathematicians' names in word searches, unscrambling math vocabulary words, solving equations to decode interesting facts, using logical thinking to uncover magic squares, locating hidden objects on an “I Spy” page, and more! They will also read about the important contributions of Drs. Martha Euphemia Lofton Haynes, Evelyn Boyd Granville, and Marjorie Lee Browne, the first three African American women to receive doctoral degrees in mathematics. Other women profiled include contemporary mathematicians who will inspire today's children to become tomorrow's leaders. Women Who Count is a must-read for parents and children alike!

Emmy Noether, a Woman of Greatness

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Publisher :
ISBN 13 : 9781420853056
Total Pages : 60 pages
Book Rating : 4.8/5 (53 download)

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Book Synopsis Emmy Noether, a Woman of Greatness by : Marcia Bohn

Download or read book Emmy Noether, a Woman of Greatness written by Marcia Bohn and published by . This book was released on 2005-06 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This biography of a famous woman mathematician named Emmy Noether, who lived long ago, will inspire children's attention toward mathematics! It shows that math isn't just for boys! Girls can achieve mathematical greatness as well! Many girls do not believe this fact. It has been statistically proven that teachers call on boys more than girls when it comes to answering math question in the classroom. This book can help girls gain the confidence they need to answer math questions in class and to amaze their dads while they are doing their math homework! This book can also be used by teachers and parents as a tool to demonstrate the differences and similarities in the vast majorities of cultures that are present around the world.

Emmy Noether in Bryn Mawr

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Publisher :
ISBN 13 : 9783540908388
Total Pages : 0 pages
Book Rating : 4.9/5 (83 download)

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Book Synopsis Emmy Noether in Bryn Mawr by : Bhama Srinivasan

Download or read book Emmy Noether in Bryn Mawr written by Bhama Srinivasan and published by . This book was released on 1983 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sophie Germain

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Publisher : Springer Science & Business Media
ISBN 13 : 9400990510
Total Pages : 157 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Sophie Germain by : L.L. Bucciarelli

Download or read book Sophie Germain written by L.L. Bucciarelli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why should the story of a woman's role in the development of a scientific theory be written? Is it to celebrate, as some have done, the heroism of a woman's struggle in a man's world? Or is it, rather~to demonstrate that gender is irrelevant to the march of scientific ideas? This book hopes to do neither. Rather, it intends to do justice both to the professional life of a woman in science and to the development of the theory with which she was engaged. Technically, this essay centers on Sophie Germain's analysis of the modes of vibration of elastic surfaces, work which won a competition set by the French Academy of Sciences in 1809. It also evaluates related work on the mathematical theory of elasticity done by men of the Academy. Biographically, it is about a woman who believed in the greatness of science and strove, with some measure of success, to participate in that noble, but wholly male-dominated, enterprise. It explores her failures, analyzes her success, and describes how the members of the Parisian scientific community dealt with her offerings, contributions and demands.

Emmy Noether in Bryn Mawr

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Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Emmy Noether in Bryn Mawr by : Bhama Srinivasan

Download or read book Emmy Noether in Bryn Mawr written by Bhama Srinivasan and published by . This book was released on 1983 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Richer Picture of Mathematics

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Publisher : Springer
ISBN 13 : 3319678191
Total Pages : 461 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis A Richer Picture of Mathematics by : David E. Rowe

Download or read book A Richer Picture of Mathematics written by David E. Rowe and published by Springer. This book was released on 2018-02-13 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.

Emmy Noether

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Author :
Publisher : Marcel Dekker
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Emmy Noether by : Emmy Noether

Download or read book Emmy Noether written by Emmy Noether and published by Marcel Dekker. This book was released on 1981 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Philosophy and Physics of Noether's Theorems

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Publisher : Cambridge University Press
ISBN 13 : 1108786812
Total Pages : 388 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis The Philosophy and Physics of Noether's Theorems by : James Read

Download or read book The Philosophy and Physics of Noether's Theorems written by James Read and published by Cambridge University Press. This book was released on 2022-08-31 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1918, Emmy Noether, in her paper Invariante Variationsprobleme, proved two theorems (and their converses) on variational problems that went on to revolutionise theoretical physics. 100 years later, the mathematics of Noether's theorems continues to be generalised, and the physical applications of her results continue to diversify. This centenary volume brings together world-leading historians, philosophers, physicists, and mathematicians in order to clarify the historical context of this work, its foundational and philosophical consequences, and its myriad physical applications. Suitable for advanced undergraduate and graduate students and professional researchers, this is a go-to resource for those wishing to understand Noether's work on variational problems and the profound applications which it finds in contemporary physics.