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From Riemann to Differential Geometry and Relativity

2017-10-03 Mathematics
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Release : 2017-10-03
Genre : Mathematics
Kind : eBook
Book Rating : 397/5 ( reviews)

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Book Synopsis From Riemann to Differential Geometry and Relativity by : Lizhen Ji

Download or read book From Riemann to Differential Geometry and Relativity written by Lizhen Ji. This book was released on 2017-10-03. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.

From Riemann to Differential Geometry and Relativity

2018-05-17 Mathematics
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Release : 2018-05-17
Genre : Mathematics
Kind : eBook
Book Rating : 656/5 ( reviews)

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Book Synopsis From Riemann to Differential Geometry and Relativity by : Lizhen Ji

Download or read book From Riemann to Differential Geometry and Relativity written by Lizhen Ji. This book was released on 2018-05-17. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.

The Evolution Problem in General Relativity

2003 Science
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Release : 2003
Genre : Science
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis The Evolution Problem in General Relativity by : Sergiu Klainerman

Download or read book The Evolution Problem in General Relativity written by Sergiu Klainerman. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: While technical motivation is clearly and systematically provided for this proof, many important related concepts and results, some well established, others new, unfold along the way." "A comprehensive bibliography and index complete this important monograph, aimed at researchers and graduate students in mathematics, mathematical physics, and physics in the area of general relativity."--BOOK JACKET.

Semi-Riemannian Geometry With Applications to Relativity

1983-07-29 Mathematics
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Release : 1983-07-29
Genre : Mathematics
Kind : eBook
Book Rating : 577/5 ( reviews)

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Book Synopsis Semi-Riemannian Geometry With Applications to Relativity by : Barrett O'Neill

Download or read book Semi-Riemannian Geometry With Applications to Relativity written by Barrett O'Neill. This book was released on 1983-07-29. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

Differential Geometry and Relativity Theory

2017-10-19 Mathematics
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Release : 2017-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 141/5 ( reviews)

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Book Synopsis Differential Geometry and Relativity Theory by : RichardL. Faber

Download or read book Differential Geometry and Relativity Theory written by RichardL. Faber. This book was released on 2017-10-19. Available in PDF, EPUB and Kindle. Book excerpt: Differentilil Geometry and Relativity Theory: An Introduction approaches relativity asa geometric theory of space and time in which gravity is a manifestation of space-timecurvature, rathe1 than a force. Uniting differential geometry and both special and generalrelativity in a single source, this easy-to-understand text opens the general theory of relativityto mathematics majors having a backgr.ound only in multivariable calculus and linearalgebra.The book offers a broad overview of the physical foundations and mathematical details ofrelativity, and presents concrete physical interpretations of numerous abstract concepts inRiemannian geometry. The work is profusely illustrated with diagrams aiding in the understandingof proofs and explanations. Appendices feature important material on vectoranalysis and hyperbolic functions.Differential Geometry and Relativity Theory: An Introduction serves as the ideal textfor high-level undergraduate couues in mathematics and physics, and includes a solutionsmanual augmenting classroom study. It is an invaluable reference for mathematicians interestedin differential and IUemannian geometry, or the special and general theories ofrelativity

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