The Mathematics Of Relativity For The Rest Of Us


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The Mathematics of Relativity for the Rest of Us


The Mathematics of Relativity for the Rest of Us

Author: Louis S. Jagerman

language: en

Publisher: Trafford Publishing

Release Date: 2001


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The Mathematics of Relativity for the Rest of Us is intended to give the generally educated reader a thorough and factual understanding of Einstein's theory of relativity - including the difficult mathematical concepts, even if the reader is not trained in higher mathematics.

A Mathematical Journey to Relativity


A Mathematical Journey to Relativity

Author: Wladimir-Georges Boskoff

language: en

Publisher: Springer Nature

Release Date: 2024-05-06


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The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications. The textbook aims to provide a comprehensive geometric description of Special and General Relativity, starting from basic Euclidean geometry to more advanced non-Euclidean geometry and differential geometry. Readers will learn about the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, and the cosmological solutions like de Sitter, Friedman-Lemaître-Robertson-Walker, and Gödel ones, as well as the implications of each of them for the observed physical world. In addition, the book provides step-by-step solutions to problems and exercises, making it an ideal introduction for undergraduate students and readers looking to gain a better understanding of Special and General Relativity. In this new edition, a wide discussion on metric-affine theories of gravity and equivalent formulations of General Relativity is reported. The aim is presenting also topics which could be useful for PhD students and researchers studying General Relativity from an advanced point of view.

Ophthalmologists, Meet Zernike and Fourier!


Ophthalmologists, Meet Zernike and Fourier!

Author: Louis S. Jagerman MD

language: en

Publisher: Trafford Publishing

Release Date: 2008-01-09


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Louis S. Jagerman MD, an experienced clinical ophthalmologist and science author, demystifies and explains the mathematical background for modern refractive surgery. No ophthalmologist needs to be perplexed by Zernike polynomials or Fourier transforms. No need for you to be intimidated by technical and mathematical intricacies of waterfronts, lenslets, and aberrometers. No need to dread questions from curious colleagues, educated patients, and persuasive salespersons. This short book, with its clear diagrams, well-explained equations, and extensive index, will provide a form grasp of the mathematical basis for your refractive practice. At the same time, you will witness how brilliant mathematics, drawn from diverse sources, can be applied to modern medical science and patient care.