Einstein's Italian Mathematicians

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Publisher : American Mathematical Soc.
ISBN 13 : 1470428466
Total Pages : 231 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Einstein's Italian Mathematicians by : Judith R. Goodstein

Download or read book Einstein's Italian Mathematicians written by Judith R. Goodstein and published by American Mathematical Soc.. This book was released on 2018-07-20 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first decade of the twentieth century as Albert Einstein began formulating a revolutionary theory of gravity, the Italian mathematician Gregorio Ricci was entering the later stages of what appeared to be a productive if not particularly memorable career, devoted largely to what his colleagues regarded as the dogged development of a mathematical language he called the absolute differential calculus. In 1912, the work of these two dedicated scientists would intersect—and physics and mathematics would never be the same. Einstein's Italian Mathematicians chronicles the lives and intellectual contributions of Ricci and his brilliant student Tullio Levi-Civita, including letters, interviews, memoranda, and other personal and professional papers, to tell the remarkable, little-known story of how two Italian academicians, of widely divergent backgrounds and temperaments, came to provide the indispensable mathematical foundation—today known as the tensor calculus—for general relativity.

The Absolute Differential Calculus

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Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Absolute Differential Calculus by : Tullio Levi-Civita

Download or read book The Absolute Differential Calculus written by Tullio Levi-Civita and published by . This book was released on 1927 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensors

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Publisher : Springer Science & Business Media
ISBN 13 : 0387694692
Total Pages : 300 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Tensors by : Anadi Jiban Das

Download or read book Tensors written by Anadi Jiban Das and published by Springer Science & Business Media. This book was released on 2007-10-05 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.

Ricci-Calculus

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Publisher : Springer Science & Business Media
ISBN 13 : 3662129272
Total Pages : 535 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Ricci-Calculus by : Jan Arnoldus Schouten

Download or read book Ricci-Calculus written by Jan Arnoldus Schouten and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an entirely new book. The first edition appeared in 1923 and at that time it was up to date. But in 193 5 and 1938 the author and Prof. D. J. STRUIK published a new book, their Einführung I and li, and this book not only gave the first systematic introduction to the kernel index method but also contained many notions that had come into prominence since 1923. For instance densities, quantities of the second kind, pseudo-quantities, normal Coordinates, the symbolism of exterior forms, the LIE derivative, the theory of variation and deformation and the theory of subprojective connexions were included. Now since 1938 there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of 1923. Though the purpose remains to make the reader acquainted with RICCI's famous instrument in its modern form, the book must have quite a different methodical structure and quite different applica tions have to be chosen. The first chapter contains algebraical preliminaries but the whole text is modernized and there is a section on hybrid quantities (quantities with indices of the first and of the second kind) and one on the many abridged notations that have been developed by several authors. In the second chapter the most important analytical notions that come before the introduction of a connexion aredealt with in full.

Foundations of General Relativity

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Publisher : Radboud University Press
ISBN 13 : 9083178927
Total Pages : 394 pages
Book Rating : 4.0/5 (831 download)

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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 and published by Radboud University Press. This book was released on 2021-10-08 with total page 394 pages. 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.

Ricci and Levi-Civita's Tensor Analysis Paper

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Publisher :
ISBN 13 : 9780915692118
Total Pages : 284 pages
Book Rating : 4.6/5 (921 download)

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Book Synopsis Ricci and Levi-Civita's Tensor Analysis Paper by : Robert Hermann

Download or read book Ricci and Levi-Civita's Tensor Analysis Paper written by Robert Hermann and published by . This book was released on 1975 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Many Faces of Maxwell, Dirac and Einstein Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3540712925
Total Pages : 452 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Many Faces of Maxwell, Dirac and Einstein Equations by : Waldyr A. Rodrigues

Download or read book The Many Faces of Maxwell, Dirac and Einstein Equations written by Waldyr A. Rodrigues and published by Springer Science & Business Media. This book was released on 2007-07-03 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories. All calculation procedures are illustrated by many exercises that are solved in detail.

Einstein's Theories of Relativity and Gravitation

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Publisher :
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Einstein's Theories of Relativity and Gravitation by : James Malcolm Bird

Download or read book Einstein's Theories of Relativity and Gravitation written by James Malcolm Bird and published by . This book was released on 1921 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's theory of relativity confounded and excited both professional and amateur scientists with its explanation of the intricacies of how the world and the universe truly work, rather than how people wished or believed they worked. His view of relativity dismantled Newton's theory of space and time as absolutes, adding the concept of curved space-time, which deals with the velocity of motion. Einstein explains his theory of physics in a way that was designed not only for scientists with a knowledge of the complicated math involved but for the general reader as well.

Quantum Space

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Publisher : Oxford University Press
ISBN 13 : 0192536818
Total Pages : 419 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Quantum Space by : Jim Baggott

Download or read book Quantum Space written by Jim Baggott and published by Oxford University Press. This book was released on 2018-11-15 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining clear discussions of both quantum theory and general relativity, this book offers one of the first efforts to explain the new quantum theory of space and time. Today we are blessed with two extraordinarily successful theories of physics. The first is Albert Einstein's general theory of relativity, which describes the large-scale behaviour of matter in a curved spacetime. This theory is the basis for the standard model of big bang cosmology. The discovery of gravitational waves at the LIGO observatory in the US (and then Virgo, in Italy) is only the most recent of this theory's many triumphs. The second is quantum mechanics. This theory describes the properties and behaviour of matter and radiation at their smallest scales. It is the basis for the standard model of particle physics, which builds up all the visible constituents of the universe out of collections of quarks, electrons and force-carrying particles such as photons. The discovery of the Higgs boson at CERN in Geneva is only the most recent of this theory's many triumphs. But, while they are both highly successful, these two structures leave a lot of important questions unanswered. They are also based on two different interpretations of space and time, and are therefore fundamentally incompatible. We have two descriptions but, as far as we know, we've only ever had one universe. What we need is a quantum theory of gravity. Approaches to formulating such a theory have primarily followed two paths. One leads to String Theory, which has for long been fashionable, and about which much has been written. But String Theory has become mired in problems. In this book, Jim Baggott describes "the road less travelled": an approach which takes relativity as its starting point, and leads to a structure called Loop Quantum Gravity. Baggott tells the story through the careers and pioneering work of two of the theory's most prominent contributors, Lee Smolin and Carlo Rovelli.

Einstein's Mistakes: The Human Failings of Genius

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Publisher : W. W. Norton & Company
ISBN 13 : 0393337685
Total Pages : 417 pages
Book Rating : 4.3/5 (933 download)

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Book Synopsis Einstein's Mistakes: The Human Failings of Genius by : Hans C. Ohanian

Download or read book Einstein's Mistakes: The Human Failings of Genius written by Hans C. Ohanian and published by W. W. Norton & Company. This book was released on 2009-11-09 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: “A thought-provoking critique of Einstein’s tantalizing combination of brilliance and blunder.”—Andrew Robinson, New Scientist Never before translated into English, the Manimekhalai is one of the great classics of Indian culture.

The Gravity of Math

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Publisher : Basic Books
ISBN 13 : 154160430X
Total Pages : 211 pages
Book Rating : 4.5/5 (416 download)

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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 and published by Basic Books. This book was released on 2024-04-16 with total page 211 pages. 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.

Einstein's Dice and Schršdinger's Cat

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Publisher :
ISBN 13 : 0465075711
Total Pages : 283 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Einstein's Dice and Schršdinger's Cat by : Paul Halpern

Download or read book Einstein's Dice and Schršdinger's Cat written by Paul Halpern and published by . This book was released on 2015-04-14 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: When the fuzzy indeterminacy of quantum mechanics overthrew the orderly world of Isaac Newton, Albert Einstein and Erwin Schrödinger were at the forefront of the revolution. Neither man was ever satisfied with the standard interpretation of quantum mechanics, however, and both rebelled against what they considered the most preposterous aspect of quantum mechanics: its randomness. Einstein famously quipped that God does not play dice with the universe, and Schrödinger constructed his famous fable of a cat that was neither alive nor dead not to explain quantum mechanics but to highlight the apparent absurdity of a theory gone wrong. But these two giants did more than just criticize: they fought back, seeking a Theory of Everything that would make the universe seem sensible again. In Einstein’s Dice and Schrödinger’s Cat, physicist Paul Halpern tells the little-known story of how Einstein and Schrödinger searched, first as collaborators and then as competitors, for a theory that transcended quantum weirdness. This story of their quest—which ultimately failed—provides readers with new insights into the history of physics and the lives and work of two scientists whose obsessions drove its progress. Today, much of modern physics remains focused on the search for a Theory of Everything. As Halpern explains, the recent discovery of the Higgs Boson makes the Standard Model—the closest thing we have to a unified theory— nearly complete. And while Einstein and Schrödinger failed in their attempt to explain everything in the cosmos through pure geometry, the development of string theory has, in its own quantum way, brought this idea back into vogue. As in so many things, even when they were wrong, Einstein and Schrödinger couldn’t help but get a great deal right.

Einstein vs. Bergson

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110753723
Total Pages : 498 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Einstein vs. Bergson by : Alessandra Campo

Download or read book Einstein vs. Bergson written by Alessandra Campo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-08 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together papers from a conference that took place in the city of L'Aquila, 4–6 April 2019, to commemorate the 10th anniversary of the earthquake that struck on 6 April 2009. Philosophers and scientists from diverse fields of research debated the problem that, on 6 April 1922, divided Einstein and Bergson: the nature of time. For Einstein, scientific time is the only time that matters and the only time we can rely on. Bergson, however, believes that scientific time is derived by abstraction, even in the sense of extraction, from a more fundamental time. The plurality of times envisaged by the theory of Relativity does not, for him, contradict the philosophical intuition of the existence of a single time. But how do things stand today? What can we say about the relationship between the quantitative and qualitative dimensions of time in the light of contemporary science? What do quantum mechanics, biology and neuroscience teach us about the nature of time? The essays collected here take up the question that pitted Einstein against Bergson, science against philosophy, in an attempt to reverse the outcome of their monologue in two voices, with a multilogue in several voices.

Marcel Grossmann

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Publisher : Springer
ISBN 13 : 3319900773
Total Pages : 271 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Marcel Grossmann by : Claudia Graf-Grossmann

Download or read book Marcel Grossmann written by Claudia Graf-Grossmann and published by Springer. This book was released on 2018-06-08 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zurich, summer 1912. Albert Einstein has just returned from Prague to the city on the Limmat. He sends a plea for help to his former fellow student, the mathematician Marcel Grossmann (1878-1936), for he is in need of assistance with the mathematical calculations of his general theory of relativity. What then follows is one of the most fascinating chapters of science history, with far-reaching consequences for the lives of the two friends. Marcel Grossmann’s granddaughter paints here a picture of a fiery and many-talented scientist and patriot. She traces the influence of an entrepreneurial family during Germany’s rapid industrial expansion in the late 19th century. The family’s fluctuating fortunes take the story to the vibrant city of Budapest on the Danube; they enable readers to sense the pioneering spirit at Zurich’s young Polytechnic Institute (now ETH Zurich) – but also reflect the worries and hardships of the First World War and interwar years. The Foreword is written by Prof. Remo Ruffini, founder and president of the International Center for Relativistic Astrophysics and the Marcel Grossmann Meetings. Last but not least, an extensive contribution by Dr. Tilman Sauer offers a scientific-historical appreciation of Marcel Grossmann’s enduring contributions.

Modeling and Simulation of Aerospace Vehicle Dynamics

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Publisher : AIAA
ISBN 13 : 9781563474569
Total Pages : 586 pages
Book Rating : 4.4/5 (745 download)

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Book Synopsis Modeling and Simulation of Aerospace Vehicle Dynamics by : Peter H. Zipfel

Download or read book Modeling and Simulation of Aerospace Vehicle Dynamics written by Peter H. Zipfel and published by AIAA. This book was released on 2000 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for an advanced undergraduate course in which Zipfel (aerospace engineering, U. of Florida) introduces the fundamentals of an approach to, or step in, design that has become a field in and of itself. The first part assumes an introductory course in dynamics, and the second some specialized knowledge in subsystem technologies. Practicing engineers in the aerospace industry, he suggests, should be able to cover the material without a tutor. Rather than include a disk, he has made supplementary material available on the Internet. Annotation copyrighted by Book News, Inc., Portland, OR

Einstein

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Publisher : Simon and Schuster
ISBN 13 : 1847395899
Total Pages : 603 pages
Book Rating : 4.8/5 (473 download)

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Book Synopsis Einstein by : Walter Isaacson

Download or read book Einstein written by Walter Isaacson and published by Simon and Schuster. This book was released on 2008-09-04 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOW A MAJOR SERIES 'GENIUS' ON NATIONAL GEOGRAPHIC, PRODUCED BY RON HOWARD AND STARRING GEOFFREY RUSH Einstein is the great icon of our age: the kindly refugee from oppression whose wild halo of hair, twinkling eyes, engaging humanity and extraordinary brilliance made his face a symbol and his name a synonym for genius. He was a rebel and nonconformist from boyhood days. His character, creativity and imagination were related, and they drove both his life and his science. In this marvellously clear and accessible narrative, Walter Isaacson explains how his mind worked and the mysteries of the universe that he discovered. Einstein's success came from questioning conventional wisdom and marvelling at mysteries that struck others as mundane. This led him to embrace a worldview based on respect for free spirits and free individuals. All of which helped make Einstein into a rebel but with a reverence for the harmony of nature, one with just the right blend of imagination and wisdom to transform our understanding of the universe. This new biography, the first since all of Einstein's papers have become available, is the fullest picture yet of one of the key figures of the twentieth century. This is the first full biography of Albert Einstein since all of his papers have become available -- a fully realised portrait of this extraordinary human being, and great genius. Praise for EINSTEIN by Walter Isaacson:- 'YOU REALLY MUST READ THIS.' Sunday Times 'As pithy as Einstein himself.’ New Scientist ‘[A] brilliant biography, rich with newly available archival material.’ Literary Review ‘Beautifully written, it renders the physics understandable.’ Sunday Telegraph ‘Isaacson is excellent at explaining the science. ' Daily Express

The Road to Relativity

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Publisher : Princeton University Press
ISBN 13 : 0691175810
Total Pages : 257 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Road to Relativity by : Hanoch Gutfreund

Download or read book The Road to Relativity written by Hanoch Gutfreund and published by Princeton University Press. This book was released on 2017-05-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: An annotated facsimile edition of Einstein's handwritten manuscript on the foundations of general relativity This richly annotated facsimile edition of "The Foundation of General Relativity" introduces a new generation of readers to Albert Einstein's theory of gravitation. Written in 1915, this remarkable document is a watershed in the history of physics and an enduring testament to the elegance and precision of Einstein's thought. Presented here is a beautiful facsimile of Einstein's original handwritten manuscript, along with its English translation and an insightful page-by-page commentary that places the work in historical and scientific context. Hanoch Gutfreund and Jürgen Renn's concise introduction traces Einstein's intellectual odyssey from special to general relativity, and their essay "The Charm of a Manuscript" provides a delightful meditation on the varied afterlife of Einstein's text. Featuring a foreword by John Stachel, this handsome edition also includes a biographical glossary of the figures discussed in the book, a comprehensive bibliography, suggestions for further reading, and numerous photos and illustrations throughout.