Proving It Her Way

Proving It Her Way PDF Author: David E. Rowe
Publisher:
ISBN: 3030628116
Category : Algebra
Languages : en
Pages : 259

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Book Description
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.".

Proving It Her Way

Proving It Her Way PDF Author: David E. Rowe
Publisher:
ISBN: 3030628116
Category : Algebra
Languages : en
Pages : 259

Get Book Here

Book Description
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's Wonderful Theorem

Emmy Noether's Wonderful Theorem PDF Author: Dwight E. Neuenschwander
Publisher: JHU Press
ISBN: 1421422689
Category : Science
Languages : en
Pages : 338

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Book 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.

Reading, Writing, and Proving

Reading, Writing, and Proving PDF Author: Ulrich Daepp
Publisher: Springer Science & Business Media
ISBN: 0387215603
Category : Mathematics
Languages : en
Pages : 391

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Book Description
This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.

Mathematics for Human Flourishing

Mathematics for Human Flourishing PDF Author: Francis Su
Publisher: Yale University Press
ISBN: 0300248814
Category : Mathematics
Languages : en
Pages : 287

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Book Description
Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.”—James Tanton, Global Math Project"A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book."—MAA Reviews For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award‑winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires—such as for play, beauty, freedom, justice, and love—and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother’s, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher’s letters to the author appear throughout the book and show how this intellectual pursuit can—and must—be open to all.

Interactive Theorem Proving and Program Development

Interactive Theorem Proving and Program Development PDF Author: Yves Bertot
Publisher: Springer Science & Business Media
ISBN: 366207964X
Category : Mathematics
Languages : en
Pages : 492

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Book Description
A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

"Proving Contraries"

Author: Robert A. Rees
Publisher:
ISBN: 9781560851905
Category : Literary Collections
Languages : en
Pages : 0

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Book Description
In honor of the late BYU Professor Eugene England (1933-2001), friends and colleagues have contributed their best original stories, poems, reminiscences, scholarly articles, and essays for this impressive volume. In one essay, "Eugene England Enters Heaven," Robert A. Rees imagines his friend being welcomed into heaven by the Savior. Rees then imagines England "organizing contests between the Telestial and Celestial Kingdoms, leading a theater tour to Kolob, and pleading the cause of friends still struggling in mortality. This," he concludes, "is the image I have of Gene, that I hold in my heart."

I Know This Much Is True

I Know This Much Is True PDF Author: Wally Lamb
Publisher: Cambridge University Press
ISBN: 9780060391621
Category : Fiction
Languages : en
Pages : 884

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Book Description
With his stunning debut novel, She's Come Undone, Wally Lamb won the adulation of critics and readers with his mesmerizing tale of one woman's painful yet triumphant journey of self-discovery. Now, this brilliantly talented writer returns with I Know This Much Is True, a heartbreaking and poignant multigenerational saga of the reproductive bonds of destruction and the powerful force of forgiveness. A masterpiece that breathtakingly tells a story of alienation and connection, power and abuse, devastation and renewal--this novel is a contemporary retelling of an ancient Hindu myth. A proud king must confront his demons to achieve salvation. Change yourself, the myth instructs, and you will inhabit a renovated world. When you're the same brother of a schizophrenic identical twin, the tricky thing about saving yourself is the blood it leaves on your bands--the little inconvenience of the look-alike corpse at your feet. And if you're into both survival of the fittest and being your brother's keeper--if you've promised your dying mother--then say so long to sleep and hello to the middle of the night. Grab a book or a beer. Get used to Letterman's gap-toothed smile of the absurd, or the view of the bedroom ceiling, or the influence of random selection. Take it from a godless insomniac. Take it from the uncrazy twin--the guy who beat the biochemical rap. Dominick Birdsey's entire life has been compromised and constricted by anger and fear, by the paranoid schizophrenic twin brother he both deeply loves and resents, and by the past they shared with their adoptive father, Ray, a spit-and-polish ex-Navy man (the five-foot-six-inch sleeping giant who snoozed upstairs weekdays in the spare room and built submarines at night), and their long-suffering mother, Concettina, a timid woman with a harelip that made her shy and self-conscious: She holds a loose fist to her face to cover her defective mouth--her perpetual apology to the world for a birth defect over which she'd had no control. Born in the waning moments of 1949 and the opening minutes of 1950, the twins are physical mirror images who grow into separate yet connected entities: the seemingly strong and protective yet fearful Dominick, his mother's watchful "monkey"; and the seemingly weak and sweet yet noble Thomas, his mother's gentle "bunny." From childhood, Dominick fights for both separation and wholeness--and ultimately self-protection--in a house of fear dominated by Ray, a bully who abuses his power over these stepsons whose biological father is a mystery. I was still afraid of his anger but saw how he punished weakness--pounced on it. Out of self-preservation I hid my fear, Dominick confesses. As for Thomas, he just never knew how to play defense. He just didn't get it. But Dominick's talent for survival comes at an enormous cost, including the breakup of his marriage to the warm, beautiful Dessa, whom he still loves. And it will be put to the ultimate test when Thomas, a Bible-spouting zealot, commits an unthinkable act that threatens the tenuous balance of both his and Dominick's lives. To save himself, Dominick must confront not only the pain of his past but the dark secrets he has locked deep within himself, and the sins of his ancestors--a quest that will lead him beyond the confines of his blue-collar New England town to the volcanic foothills of Sicily 's Mount Etna, where his ambitious and vengefully proud grandfather and a namesake Domenico Tempesta, the sostegno del famiglia, was born. Each of the stories Ma told us about Papa reinforced the message that he was the boss, that he ruled the roost, that what he said went. Searching for answers, Dominick turns to the whispers of the dead, to the pages of his grandfather's handwritten memoir, The History of Domenico Onofrio Tempesta, a Great Man from Humble Beginnings. Rendered with touches of magic realism, Domenico's fablelike tale--in which monkeys enchant and religious statues weep--becomes the old man's confession--an unwitting legacy of contrition that reveals the truth's of Domenico's life, Dominick learns that power, wrongly used, defeats the oppressor as well as the oppressed, and now, picking through the humble shards of his deconstructed life, he will search for the courage and love to forgive, to expiate his and his ancestors' transgressions, and finally to rebuild himself beyond the haunted shadow of his twin. Set against the vivid panoply of twentieth-century America and filled with richly drawn, memorable characters, this deeply moving and thoroughly satisfying novel brings to light humanity's deepest needs and fears, our aloneness, our desire for love and acceptance, our struggle to survive at all costs. Joyous, mystical, and exquisitely written, I Know This Much Is True is an extraordinary reading experience that will leave no reader untouched.

Emmy Noether 1882–1935

Emmy Noether 1882–1935 PDF Author: DICK
Publisher: Springer Science & Business Media
ISBN: 1468405357
Category : Mathematics
Languages : en
Pages : 213

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Book Description
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.

Body & Soul

Body & Soul PDF Author: Susan Krinard
Publisher: Open Road Media
ISBN: 1504062760
Category : Fiction
Languages : en
Pages : 312

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Book Description
“A fascinating tale of reincarnation and redemption” from the New York Times–bestselling author of the Midgard and Fane series (Library Journal). Though mountain search-and-rescue worker Jesse Copeland is used to risking herself to save others, she must tap into all her reserves of bravery to solve the most haunting mystery of her life: her mother’s puzzling death. Little does Jesse know her investigation will make her the target of two men: a present-day threat and a centuries-old hero . . . Two hundred years ago, David Ventris, or Lord Ashthorpe, knew Jesse as a woman he had passionately desired—and then betrayed. Now he has a chance to right the wrongs of his past by protecting Jesse from the evil that stalks her. If only he can convince her of his corporeal existence and that he is a man she can love and trust, body and soul. Praise for Susan Krinard “Susan Krinard was born to write romance.” —Amanda Quick, New York Times–bestselling author “The reading world would be a happier place if more paranormal romance writers wrote as well as Krinard.” —Contra Costa Sunday Times “A vivid, talented author with a sparkling imagination.” —Anne Stuart, New York Times–bestselling author

Crucial Instances

Crucial Instances PDF Author: Edith Wharton
Publisher: Read Books Ltd
ISBN: 1473349109
Category : Fiction
Languages : en
Pages : 129

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Book Description
"Crucial Instances" is a classic short story collection by Edith Wharton, first published in 1901. The book contains a collection of seven stories, including: "The Duchess at Prayer", "The Angel at the Grave", "The Recovery", "Copy: A Dialogue", "The Rembrandt", "The Moving Finger", and "The Confessional". Edith Wharton (January 24, 1862 - August 11, 1937) was an American novelist, writer of short stories, and designer. She won the Pulitzer Prize for literature in won the 1921 for her novel "The Age of Innocence" (1920) and was nominated for the Nobel prize in 1927, 1928 and 1930. Wharton was famous for her novels, within which she married her person experience of life in America's privileged classes with brilliant wit and mastery of language. Many vintage books such as this are becoming increasingly scarce and expensive. We are republishing this volume now in an affordable, modern, high-quality edition complete with a specially commissioned new biography of the author.