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Einsteins Italian Mathematicians Ricci Levi Civita And The Birth Of General Relativity
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Book Synopsis Einstein’s Italian Mathematicians: Ricci, Levi-Civita, and the Birth of General Relativity by : Judith R. Goodstein
Download or read book Einstein’s Italian Mathematicians: Ricci, Levi-Civita, and the Birth of General Relativity written by Judith R. Goodstein and published by American Mathematical Soc.. This book was released on 2018-07-20 with total page 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.
Book Synopsis Model and Mathematics: From the 19th to the 21st Century by : Michael Friedman
Download or read book Model and Mathematics: From the 19th to the 21st Century written by Michael Friedman and published by Springer Nature. This book was released on 2022-08-08 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.
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.
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.
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:
Author :Jan Arnoldus Schouten Publisher :Springer Science & Business Media ISBN 13 :3662129272 Total Pages :535 pages Book Rating :4.6/5 (621 download)
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.
Book Synopsis The Shock of Recognition by : Lewis Pyenson
Download or read book The Shock of Recognition written by Lewis Pyenson and published by BRILL. This book was released on 2020-10-12 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: In The Shock of Recognition, Lewis Pyenson examines art and science together to shed new light on common motifs in Picasso’s and Einstein’s education, in European material culture, and in the intellectual life of one nation-state, Argentina.
Book Synopsis The Philosophy and Physics of Noether's Theorems by : James Read
Download or read book The Philosophy and Physics of Noether's Theorems written by James Read and published by Cambridge University Press. This book was released on 2022-09-29 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: A centenary volume that celebrates, extends and applies Noether's 1918 theorems with contributions from world-leading researchers.
Book Synopsis Visual Differential Geometry and Forms by : Tristan Needham
Download or read book Visual Differential Geometry and Forms written by Tristan Needham and published by Princeton University Press. This book was released on 2021-07-13 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Book Synopsis Visual Complex Analysis by : Tristan Needham
Download or read book Visual Complex Analysis written by Tristan Needham and published by Oxford University Press. This book was released on 2023-01-31 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) with ordinary calculus, resulting in a tool that has been of central importance to science for more than 200 years. This book brings this majestic and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. The 501 diagrams of the original edition embodied geometrical arguments that (for the first time) replaced the long and often opaque computations of the standard approach, in force for the previous 200 years, providing direct, intuitive, visual access to the underlying mathematical reality. This new 25th Anniversary Edition introduces brand-new captions that fully explain the geometrical reasoning, making it possible to read the work in an entirely new way—as a highbrow comic book!
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:
Download or read book Covariant Physics written by Moataz Emam and published by Oxford University Press, USA. This book was released on 2021-02-21 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for 2nd and 3rd year undergraduate students using the fundamental principle of covariance as a basis for studying classical mechanics, electrodynamics, the special theory of relativity, and the general theory of relativity, before moving on to more advanced topics of field theory, differential forms, and modified theories of gravity.
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.
Book Synopsis The Nature of Quantum Paradoxes by : G. Tarozzi
Download or read book The Nature of Quantum Paradoxes written by G. Tarozzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: For three days in April of 1985, Cesena (Italy) was the scene of a national conference which was convened, by the Assessorato alia Cultura of this town under the auspices of the Societa Italiana di Logica e Filosofia delle Scienze (SILFS), in order to celebrate two historical milestones: the centenary of the birth of Niels Bohr, who was to become the leader of the orthodox, or Copenhagen, interpretation of quantum theory, and the fiftieth anniversary of the publication of the most influential challenge to this interpretation which was contained in the well-known paper coauthored by Einstein, Podolsky, and Rosen. The proceedings of the Cesena meeting, which are collected in the present volume, are intended to provide an exhaustive and panoramic view of the most recent investigations carried out by Italian scientists and philo sophers engaged in research on the foundations of quantum physics. What emerges is a critical review of, and alternative approaches to, the orthodox interpretation of the Copenhagen school.
Book Synopsis The Attraction of Gravitation by : John Earman
Download or read book The Attraction of Gravitation written by John Earman and published by Springer Science & Business Media. This book was released on 1993-12-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to the history of general relativity, this text provides reviews from scholars all over the world. Many of the papers originated at the Third International Conference on the History of General Relativity, held at the University of Pittsburgh in the summer of 1991. Topics covered include: disputes with Einstein; the empirical basis of general relativity; variational principles in general relativity; the reception and development of general relativity; and cosmology and general relativity.
Book Synopsis Intellectual Mastery of Nature. Theoretical Physics from Ohm to Einstein, Volume 2 by : Christa Jungnickel
Download or read book Intellectual Mastery of Nature. Theoretical Physics from Ohm to Einstein, Volume 2 written by Christa Jungnickel and published by University of Chicago Press. This book was released on 1990-09-24 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 1987 Pfizer Award of the History of Science Society "A majestic study of a most important spoch of intellectual history."—Brian Pippard, Times Literary Supplement "The authors' use of archival sources hitherto almost untouched gives their story a startling vividness. These volumes are among the finest works produced by historians of physics."—Jed Z. Buchwald, Isis "The authors painstakingly reconstruct the minutiae of laboratory budgets, instrument collections, and student numbers; they disentangle the intrigues of faculty appointments and the professional values those appointments reflected; they explore collegial relationships among physicists; and they document the unending campaign of scientists to wring further support for physics from often reluctant ministries."—R. Steven Turner, Science "Superbly written and exhaustively researched."—Peter Harman, Nature
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 263 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.
