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Lady Mathematician In This Strange Universe, A: Memoirs

2017-12-13 Science
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Release : 2017-12-13
Genre : Science
Kind : eBook
Book Rating : 645/5 ( reviews)

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Book Synopsis Lady Mathematician In This Strange Universe, A: Memoirs by : Yvonne Choquet-bruhat

Download or read book Lady Mathematician In This Strange Universe, A: Memoirs written by Yvonne Choquet-bruhat. This book was released on 2017-12-13. Available in PDF, EPUB and Kindle. Book excerpt: 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

2017 BIOGRAPHY & AUTOBIOGRAPHY
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Release : 2017
Genre : BIOGRAPHY & AUTOBIOGRAPHY
Kind : eBook
Book Rating : 634/5 ( reviews)

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Book Synopsis A Lady Mathematician in this Strange Universe by : Yvonne Choquet-Bruhat

Download or read book A Lady Mathematician in this Strange Universe written by Yvonne Choquet-Bruhat. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: 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

2024-04-16 Science
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Release : 2024-04-16
Genre : Science
Kind : eBook
Book Rating : 30X/5 ( reviews)

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Book Synopsis The Gravity of Math by : Steve Nadis

Download or read book The Gravity of Math written by Steve Nadis. This book was released on 2024-04-16. Available in PDF, EPUB and Kindle. Book excerpt: 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

2021-10-08 Science
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Release : 2021-10-08
Genre : Science
Kind : eBook
Book Rating : 927/5 ( reviews)

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Book Synopsis Foundations of General Relativity by : Klaas Landsman

Download or read book Foundations of General Relativity written by Klaas Landsman. This book was released on 2021-10-08. Available in PDF, EPUB and Kindle. Book excerpt: 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

2023-07-25 Science
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Release : 2023-07-25
Genre : Science
Kind : eBook
Book Rating : 562/5 ( reviews)

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Book Synopsis Accelerating Expansion by : Gordon Belot

Download or read book Accelerating Expansion written by Gordon Belot. This book was released on 2023-07-25. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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