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Author: Yvonne Choquet-bruhat
Publisher: World Scientific
ISBN: 9813231645
Category : Science
Languages : en
Pages : 362
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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.
Author: Yvonne Choquet-bruhat
Publisher: World Scientific
ISBN: 9813231645
Category : Science
Languages : en
Pages : 362
Get Book Here
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.
Author: Yvonne Choquet-Bruhat
Publisher: World Scientific Publishing Company
ISBN: 9789813231627
Category : Science
Languages : en
Pages : 362
Get Book Here
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. --
Author: Gordon Belot
Publisher: Oxford University Press
ISBN: 019286646X
Category : Mathematics
Languages : en
Pages : 241
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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.
Author: Steve Nadis
Publisher: Basic Books
ISBN: 154160430X
Category : Science
Languages : en
Pages : 211
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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.
Author: Klaas Landsman
Publisher: Radboud University Press
ISBN: 9083178927
Category : Science
Languages : en
Pages : 394
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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.
Author: Mircea Pitici
Publisher: Princeton University Press
ISBN: 0691197946
Category : Mathematics
Languages : en
Pages : 305
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Book Description
The year's finest mathematical writing from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2019 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today's hottest mathematical debates. In this volume, Moon Duchin explains how geometric-statistical methods can be used to combat gerrymandering, Jeremy Avigad illustrates the growing use of computation in making and verifying mathematical hypotheses, and Kokichi Sugihara describes how to construct geometrical objects with unusual visual properties. In other essays, Neil Sloane presents some recent additions to the vast database of integer sequences he has catalogued, and Alessandro Di Bucchianico and his colleagues highlight how mathematical methods have been successfully applied to big-data problems. And there's much, much more. In addition to presenting the year's most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable writings on mathematics. This is a must-read for anyone interested in where math has taken us—and where it is headed.
Author: Jim Holt
Publisher: W. W. Norton & Company
ISBN: 0871404095
Category : Philosophy
Languages : en
Pages : 321
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Book Description
In this astonishing and profound work, an irreverent sleuth traces the riddleof existence from the ancient world to modern times.
Author: Ilan Garibi
Publisher: World Scientific
ISBN: 9813202432
Category : Games & Activities
Languages : en
Pages : 265
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Book Description
'This is a marvellous book. The diversity of possible puzzles that can be given with these very limited resources, which are basically some paper and scissors, is overwhelming, and the challenges are sometimes very tough. Even the two-star problems may be hard for an untrained puzzler. This is medicine against boredom on long rainy days, but be careful not to get addicted or it may suck up your less empty and sunny days as well.' See Full ReviewEuropean Mathematical Society ALL YOU NEED IS PAPER! All the puzzles inside are made out of paper — from simple teasers to extreme brain workouts!ORIGINAL DESIGNS Co-developed by a mathematician, an origami artist and a mechanical puzzle maker, this inventive book provides a unique and invaluable collection of a large, comprehensive and diverse variety of paper puzzles. And they only require a sheet of paper and perhaps a pair of scissors!EASY TO CHALLENGING There are 99 unique puzzles including paper strip puzzles, Möbius strips and flexagons, two-dimensional sheet folding, 'fold-and-cut' puzzles, 3D dissections and constructions, sequence folding puzzles, origami puzzles and even paper toys and magic. PROVIDES HOURS OF FUN Anyone of any age can find hours of enjoyment and challenge!LEARNING GEOMETRY, MATHEMATICS AND PROBLEM-SOLVING CHALLENGES CAN BE FUN! For students and teachers; parents and children; amateur and skilled mathematicians, and puzzle lovers.LEARN CONCEPTS AS YOU GO! Many of the puzzles are new and original, they complement the classic puzzles that are included and all of them come with a solution as well as a mathematical and geometrical explanation that can be easily understood by all. The layout of the book, with its extensive puzzles, solutions and detailed descriptions, make it a sure candidate as the paper puzzle 'bible' for enthusiasts and puzzle lovers everywhere.
Author: Yvonne Choquet-Bruhat
Publisher: Oxford University Press
ISBN: 0199230722
Category : Mathematics
Languages : en
Pages : 812
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Book Description
General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.
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.
