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Titlebook: Differential Geometry and General Relativity; Volume 1 Canbin Liang,Bin Zhou Textbook 2023 Science Press 2023 Differential Manifold.Tensor

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樓主
發(fā)表于 2025-3-21 16:20:59 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Differential Geometry and General Relativity
副標題Volume 1
編輯Canbin Liang,Bin Zhou
視頻videohttp://file.papertrans.cn/279/278752/278752.mp4
概述A textbook for graduate-level courses on general relativity.Includes both essential and optional reading sections to meet the needs of readers at various levels.Uses pedagogic features including numer
叢書名稱Graduate Texts in Physics
圖書封面Titlebook: Differential Geometry and General Relativity; Volume 1 Canbin Liang,Bin Zhou Textbook 2023 Science Press 2023 Differential Manifold.Tensor
描述.This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book’s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists..
出版日期Textbook 2023
關(guān)鍵詞Differential Manifold; Tensor Field; Riemann Curvature; Lie Derivative; Topological Spaces; Killing Vecto
版次1
doihttps://doi.org/10.1007/978-981-99-0022-0
isbn_softcover978-981-99-0024-4
isbn_ebook978-981-99-0022-0Series ISSN 1868-4513 Series E-ISSN 1868-4521
issn_series 1868-4513
copyrightScience Press 2023
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沙發(fā)
發(fā)表于 2025-3-21 20:55:39 | 只看該作者
Foundations of General Relativity,ivity came about is that Maxwell’s theory contradicts the notion of pre-relativity spacetime. Next, we will inspect Newton’s laws of motion. As an example, consider the law of conservation of momentum. As we pointed out at the beginning of Sect. ., if the definition of momentum . is still used, then
板凳
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地板
發(fā)表于 2025-3-22 05:13:49 | 只看該作者
Rate-Quality Optimized Video Coding. Physics studies the evolution of physical objects. For the convenience of study, people usually use physical models to describe physical objects. Models are the idealized version of objects, such as point masses, point charges, charged surfaces, etc. Now let us introduce a few fundamental concepts
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發(fā)表于 2025-3-22 16:12:47 | 只看該作者
Blood drawing via carotid catheter,magnetic fields in ., statistical physics and Hamiltonian theory often use phase spaces, special relativity has . as its spacetime background, etc. Colloquially, these spaces are all “continuous” rather than consisting of discrete points. The spacetime of general relativity is also a “continuous 4-d
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發(fā)表于 2025-3-22 18:47:14 | 只看該作者
Rate-Quality Optimized Video Codingnd time are treated separately in specific coordinate systems. However, after acquiring an understanding of differential geometry in the previous chapters, one can also use a 4-dimensional “global” way to formulate special relativity, which not only makes it easier to grasp the essence of the theory
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發(fā)表于 2025-3-22 23:49:55 | 只看該作者
Rate-Quality Optimized Video Codingo special relativity, this “l(fā)aw of laws” requires that the mathematical expressions for the laws of physics be Lorentz covariant. Therefore, when formulating physics in the framework of special relativity, all the known laws of physics should be inspected; those that satisfy this requirement remain
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發(fā)表于 2025-3-23 01:32:55 | 只看該作者
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發(fā)表于 2025-3-23 07:42:13 | 只看該作者
Das Herz, die Kreislaufzentraleout, and drawn conclusions concerning the universe. However, it is only after the development of general relativity that cosmology became a genuine science. From the point of view of general relativity, the universe?is the maximal spacetime containing everything in Nature, with its curvature on larg
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