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Titlebook: Geometry of Minkowski Space-Time; Francesco Catoni,Dino Boccaletti,Paolo Zampetti Book 2011 Francesco Catoni 2011 Minkowski space-time.hy

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发表于 2025-3-21 18:47:40 | 显示全部楼层 |阅读模式
书目名称Geometry of Minkowski Space-Time
编辑Francesco Catoni,Dino Boccaletti,Paolo Zampetti
视频video
概述Provides an original introduction to the geometry of Minkowski spacetime.Gives concise guidance to solving problems of relativistic kinematics.Contains problems of relativistic kinematics.Solves the "
丛书名称SpringerBriefs in Physics
图书封面Titlebook: Geometry of Minkowski Space-Time;  Francesco Catoni,Dino Boccaletti,Paolo Zampetti Book 2011 Francesco  Catoni 2011 Minkowski space-time.hy
描述.This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry..The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous "Twin Paradox" is completely solved for all kinds of motions..The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time..Moreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields..
出版日期Book 2011
关键词Minkowski space-time; hyperbolic numbers; mathematical methods in physics; non-Euclidean geometry; numbe
版次1
doihttps://doi.org/10.1007/978-3-642-17977-8
isbn_softcover978-3-642-17976-1
isbn_ebook978-3-642-17977-8Series ISSN 2191-5423 Series E-ISSN 2191-5431
issn_series 2191-5423
copyrightFrancesco Catoni 2011
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Einleitender und theoretischer Teil,c (e.m.) theory of obeying Galilean transformations. The non-invariance of the e.m. theory under Galilean transformations induced the theoretical physicists, at the end of the twelfth century, to invent new space–time transformations which did not allow to consider the time variable as “absolutely”
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,Vier Wege zur Begründung der Demokratie,ectors in Euclidean plane. As a difference with vectors the multiplication of two complex numbers is yet a complex number. By means of this property complex numbers can be generalized and hyperbolic numbers that have properties corresponding to Lorentz group of two-dimensional Special Relativity are
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Einführung in die soziologischen Theorien IIe in a geometrical way, on different curves, the differences between proper times. Proper times are obtained by means of elementary mathematics for uniform, uniformly accelerated motions and their compositions; by means of differential calculus for the arbitrary time-like curves.
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Spanische Geschichte und Kultur,e as we usually do for Euclidean plane geometry. Otherwise the obtained mathematical system, following Euclidean geometry, combine the logical vision with the intuitive vision allowing us to agree with the following Einstein’s thought.
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Einführung in die reelle AlgebraA relevant property of Euclidean geometry is the Pythagorean distance between two points. From this definition the properties of analytical geometry follow. In a similar way the analytical geometry in Minkowski plane is introduced, starting from the invariant quantities of Special Relativity.
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