Lady Mathematician In This Strange Universe, A: Memoirs


Book Description

In A Lady Mathematician, the distinguished mathematician and physicist, Yvonne Choquet-Bruhat, at the urging of her children, recounts and reflects upon various key events and people from her life — first childhood memories of France, then schooling, followed by graduate studies, and finally her continuous research in the mathematics of General Relativity and other fundamental physical fields. She recalls conversations, collaborations and even arguments shared with many great scientists, including her experiences with Albert Einstein. She also describes some of her numerous trips around the world, spurred by a passion for travel, beauty and mathematics. At once reflective, enlightening and bittersweet, this book allows readers a look into the life and thought processes of an esteemed female academic.




A Lady Mathematician in this Strange Universe


Book Description

The distinguished mathematician and physicist, Yvonne Choquet-Bruhat, at the urging of her children, recounts and reflects upon various key events and people from her life. She recalls conversations, collaborations and even arguments shared with many great scientists, including her experiences with Albert Einstein. She also describes some of her numerous trips around the world, spurred by a passion for travel, beauty and mathematics. This book allows readers a look into the life and thought processes of an esteemed female academic. --




The Gravity of Math


Book Description

One of the preeminent mathematicians of the past half century shows how physics and math were combined to give us the theory of gravity and the dizzying array of ideas and insights that has come from it Mathematics is far more than just the language of science. It is a critical underpinning of nature. The famed physicist Albert Einstein demonstrated this in 1915 when he showed that gravity—long considered an attractive force between massive objects—was actually a manifestation of the curvature, or geometry, of space and time. But in making this towering intellectual leap, Einstein needed the help of several mathematicians, including Marcel Grossmann, who introduced him to the geometrical framework upon which his theory rest. In The Gravity of Math, Steve Nadis and Shing-Tung Yau consider how math can drive and sometimes even anticipate discoveries in physics. Examining phenomena like black holes, gravitational waves, and the Big Bang, Nadis and Yau ask: Why do mathematical statements, derived solely from logic, provide the best descriptions of our physical world? The Gravity of Math offers an insightful and compelling look into the power of mathematics—whose reach, like that of gravity, can extend to the edge of the universe.




Foundations of General Relativity


Book Description

This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.




Accelerating Expansion


Book Description

Accelerating Expansion explores some of the philosophical implications of modern cosmology, focused on the significance that the discovery of the accelerating expansion of the Universe has for our understanding of time, geometry, and physics. The appearance of the cosmological constant in the equations of general relativity allows one to model universes in which space has an inherent tendency towards expansion. This constant, introduced by Einstein but subsequently abandoned by him, returned to centre stage with the discovery of the accelerating expansion. This pedagogically-oriented essay begins with a study of the most basic and elegant relativistic world that involves a positive cosmological constant, de Sitter spacetime. It then turns to the relatives of de Sitter spacetime that dominate modern relativistic cosmology. Some of the topics considered include: the nature of time and simultaneity in de Sitter worlds; the sense in which de Sitter spacetime is a powerful dynamical attractor; the limited extent to which observation can give us information about the topology of space in a world undergoing accelerated expansion; and cosmologists' favourite sceptical worry about the reliability of evidence and the possibility of knowledge, the problem of Boltzmann brains.




The Glass Universe


Book Description

From #1 New York Times bestselling author Dava Sobel, the "inspiring" (People), little-known true story of women's landmark contributions to astronomy A New York Times Book Review Notable Book of 2017 Named one of the best books of the year by NPR, The Economist, Smithsonian, Nature, and NPR's Science Friday Nominated for the PEN/E.O. Wilson Literary Science Writing Award "A joy to read.” —The Wall Street Journal In the mid-nineteenth century, the Harvard College Observatory began employing women as calculators, or “human computers,” to interpret the observations their male counterparts made via telescope each night. At the outset this group included the wives, sisters, and daughters of the resident astronomers, but soon the female corps included graduates of the new women's colleges—Vassar, Wellesley, and Smith. As photography transformed the practice of astronomy, the ladies turned from computation to studying the stars captured nightly on glass photographic plates. The “glass universe” of half a million plates that Harvard amassed over the ensuing decades—through the generous support of Mrs. Anna Palmer Draper, the widow of a pioneer in stellar photography—enabled the women to make extraordinary discoveries that attracted worldwide acclaim. They helped discern what stars were made of, divided the stars into meaningful categories for further research, and found a way to measure distances across space by starlight. Their ranks included Williamina Fleming, a Scottish woman originally hired as a maid who went on to identify ten novae and more than three hundred variable stars; Annie Jump Cannon, who designed a stellar classification system that was adopted by astronomers the world over and is still in use; and Dr. Cecilia Helena Payne, who in 1956 became the first ever woman professor of astronomy at Harvard—and Harvard’s first female department chair. Elegantly written and enriched by excerpts from letters, diaries, and memoirs, The Glass Universe is the hidden history of the women whose contributions to the burgeoning field of astronomy forever changed our understanding of the stars and our place in the universe.




Thinking In Numbers


Book Description

The irresistibly engaging book that "enlarges one's wonder at Tammet's mind and his all-embracing vision of the world as grounded in numbers" (Oliver Sacks, MD). Thinking in Numbers is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired variously by the complexity of snowflakes, Anne Boleyn's eleven fingers, and his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. His provocative and inspiring new book will change the way you think about math and fire your imagination to view the world with fresh eyes.




At Home with André and Simone Weil


Book Description

Translated from the French by Benjamin Ivry, Simone Weil was one of the twentieth century's most original philosopher-critics, and as a result her legacy has been claimed by many. This memoir by Weil's niece is strong-willed and incisive and as close as we are likely to get to the real Simone Weil. Born into a freethinking Jewish family, Weil contributed many articles to Socialist and Communist journals and was active in the Spanish Civil War until her health failed. In 1940 she became strongly attracted to Roman Catholicism and the Passion of Christ. Most of her works, published posthumously, continue to inform debates in ethics, philosophy, and spirituality surrounding questions of sacrifice, asceticism, and the virtues of manual labor. Massively influential, Weil's writings were widely praised by such readers as Albert Camus, T. S. Eliot, Simone de Beauvoir, Pope John XXIII, Czeslaw Milosz, and Susan Sontag. Sylvie Weil recovers the deeply Jewish nature of Simone's thinking and details how her preoccupations with charity and justice were fully in the tradition of tzedakah, the Jewish religious obligation toward these actions. Using previously unpublished family correspondence and conversations, Sylvie Weil offers a more authentically personal portrait of her aunt than previous biographers have provided. At Home with Andr and Simone Weil illuminates Simone's relationship to her family, especially to her brother, the great Princeton mathematician Andr Weil. A clear-eyed and uncompromising memoir of her family, At Home with Andr and Simone Weil is a fresh look at the noted French philosopher, mystic, and social activist.




Mathematicians in Love


Book Description

A riveting new science fiction novel from the writer who twice won the Philip K. Dick Award for best SF novel.Bela and Paul, two wild young mathematicians, are friends and roommates, and in love with the same woman, who happens to be Alma, Bela's girlfriend. They fight it out by changing reality using cutting edge math, to change who gets the girl. The contemporary world they live in is not quite this one, but much like Berkeley, California, and the two graduate students are trying to finish their degrees and get jobs. It doesn't help that their unpredictable advisor Roland is a mad mathematical genius who has figured out a way to predict isolated and specific bits of the future that can cause a lot of trouble. . .and he's starting to see monsters in mirrors. Bela and Paul start to mess around with reality, and when that happens, all heaven and hell break loose. Those monsters of Roland's were really there, but who are they? This novel is a romantic comedy with a whole corkscrew of SF twists. At the publisher's request, this title is being sold without Digital Rights Management software (DRM) applied.




A Convergence of Lives


Book Description

To inaugurate a new series, Lives of Women in Science, Rutgers University Press is reissuing this much-acclaimed biography of Sofia Kovalevskaia, the renowned nineteenth-century mathematician, writer, and revolutionary. Sofia Kovalevskaia's interest in mathematics was roused at an early age--her attic nursery had been wallpapered with lecture notes for a course on calculus. She spent hours studying the mysterious walls, trying to figure out which page followed from the next. Kovalevskaia (1850-1891) became the only woman mathematician whose name all mathematicians recognize, thanks to her contributions to mathematical analysis. Indeed, she was the first professional woman scientist to win international eminence in any field: the first woman doctorate in mathematics, the first to hold a chair in mathematics, the first to sit on the editorial board of a major scientific journal. She was also an accomplished writer, a proponent of women's rights and education, a wife and mother in an unconventional marriage, and a champion of radical political causes in Russia and Western Europe--a friend and correspondent of Dostoyevsky, Chekhov, George Eliot, Kropotkin, Helmholtz, and Darwin. This sympathetic portrait of a remarkable woman will appeal to any reader, non-mathematicians and mathematicians alike.