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Sunday, July 19, 2020 | History

7 edition of The mathematics of Minkowski space-time found in the catalog.

The mathematics of Minkowski space-time

with an introduction to commutative hypercomplex numbers

  • 195 Want to read
  • 13 Currently reading

Published by Birkhäuser Verlag in Basel, Boston .
Written in English

    Subjects:
  • Generalized spaces,
  • Special relativity (Physics)

  • Edition Notes

    Includes bibliographical references (p. [245]-250) and index.

    StatementFrancesco Catoni ... [et al.].
    SeriesFrontiers in mathematics
    ContributionsCatoni, Francesco.
    Classifications
    LC ClassificationsQA689 .M38 2008
    The Physical Object
    Paginationxviii, 255 p. :
    Number of Pages255
    ID Numbers
    Open LibraryOL17020892M
    ISBN 103764386134
    ISBN 109783764386139
    LC Control Number2008923068

    The Geometry of Minkowski Spacetime book. Read reviews from world’s largest community for readers. This mathematically rigorous treatment examines Zeeman /5(6). The basic absolute property of Minkowski spacetime is the fact that it is a mathematical space equipped with a pseudo-distance, which is closely linked with the existence of the light-webbed structure of the universe: along the world-lines of light-rays.

      This book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the. Our Stores Are Open Book Annex Membership Educators Gift Cards Stores & Events HelpPages: Gordon Belot, in Philosophy of Physics, EXAMPLE 25 (Field Theory in Minkowski Spacetime). The symmetry group of Minkowski spacetime is the Poincare group. Each inertial frame picks out a notion of simultaneity, and a time translation group, τ ¯; the worldlines of observers at rest in the chosen frame will be adapted to this group.(Equivalently, such group is determined by the choice of.

    图书The Mathematics of Minkowski Space-Time 介绍、书评、论坛及推荐. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of the "twin paradox" is given, followed by a detailed exposition of space-time geometry and. Get this from a library! The mathematics of Minkowski space-time: with an introduction to commutative hypercomplex numbers. [Francesco Catoni;] -- "Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the.


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The mathematics of Minkowski space-time Download PDF EPUB FB2

Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity.

The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution. The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers (Frontiers in Mathematics) th Edition by Francesco Catoni (Author) out of Cited by:   The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences Book 92) - Kindle edition by Naber, Gregory L.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading The Geometry of Minkowski Spacetime: An 5/5(1).

This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more Cited by: The Mathematics of Minkowski Space-Time With an Introduction to Commutative Hypercomplex Numbers.

- Buy The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) book online at best prices in India on Read The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) book reviews & author details and more 5/5(1).

The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity Gregory L. Naber Courier Corporation, Jan 1, - Mathematics - pages.

This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to specialBrand: Springer-Verlag New York.

This book strikes a good balance between the physics and the math. Nice coverage of the Lorentz transformation and the invariance of Maxwell's equations under it.

Minkowski space time and "hyperbolic" geometry (nice review of hyperbolic functions in analogy with trigonometric functions).Reviews: The mathematics of Minkowski space-time: With introduction to commutative hypercomplex numbers | Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Enrico Nichelatti, Paolo Zampetti | download | B–OK.

Download books for free. Find books. Minkowski spacetime or (by suppressing the distinction between the model and the physical reality it is supposed to represent) simply spacetime.

With vector addition and scalar multiplication taken for granted, we impose the geometry of spacetime on M4 by.

Real Minkowski space-time In a further development in his "Space and Time" lecture, [6] Minkowski gave an alternative formulation of this idea that used a real time coordinate instead of an imaginary one, representing the four variables (x, y, z, t) of space and time in coordinate form in a four dimensional real vector space.

The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers (Frontiers in Mathematics) eBook: Catoni, Francesco, Boccaletti. It was Hermann Minkowski (Einstein's mathematics professor) who announced the new four-dimensional (spacetime) view of the world inwhich he deduced from experimental physics by decoding the profound message hidden in the failed experiments designed to discover absolute motion.

Minkowski realized that the images coming from our. 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 book is written with the intention of providing students (and teachers) of the first years of.

The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers (Frontiers in Mathematics) - Kindle edition by Catoni, Francesco, Boccaletti, Dino, Cannata, Roberto, Catoni, Vincenzo, Nichelatti, Enrico, Zampetti, Paolo.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and 5/5(1). The mathematics of general relativity are complex.

In Newton's theories of motion, an object's length and the rate at which time passes remain constant while the object accelerates, meaning that many problems in Newtonian mechanics may be solved by algebra alone.

In relativity, however, an object's length and the rate at which time passes both change appreciably as the object's speed. Cite this chapter as: () Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox). In: The Mathematics of Minkowski Space-Time.

Buy The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences) by Naber, Gregory L. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible s: 1. An Introduction to the Mathematics of the Special Theory of Relativity.

Author: Gregory L. Naber; Publisher: Courier Corporation ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» This mathematically rigorous treatment examines Zeeman's characterization of the causal automorphisms of Minkowski spacetime and the Penrose theorem concerning the apparent.

The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity (Applied Mathematical Sciences (92), Band 92) 5/5(1).

The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity: Naber, Gregory L.: Books - 5/5(2).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.