The Principle of Relativity (Classic Reprint): With Applications to Physical Science - Couverture souple

Alfred North Whitehead

Couverture souple

ISBN 10 : 1440073929 ISBN 13 : 9781440073922

Editeur : Forgotten Books, 2018

Synopsis

Explore how space, time, and tensors shape physics in a bold, formal framework. The Principle of Relativity: With Applications to Physical Science presents a rigorous approach to how coordinate systems, Galilean groups, and tensor derivatives illuminate the foundations of physical science. It blends abstract structure with concrete calculation, showing how invariants and standard formulae govern the behavior of physical quantities across coordinate systems.

- Learn how Galilean tensors and their derivatives are defined, transformed, and used to express physical laws.
- See how the differentiation of tensor components leads to covariant and contravariant objects, and how invariants arise in this framework.
- Explore key tensor constructions, including the Christoffel symbols, the Riemann–Christoffel tensor, and the linear gravitational tensor.
- Grasp how the theory connects the status of space and time to tangible concepts like rest, motion, and the physical field.

Ideal for readers of the history and philosophy of science, as well as those studying mathematical approaches to physical law.

A propos du livre

Présentation de l'éditeur

It takes its rise from that awakening from dogmatic slumber to use Kant sphrase which we owe toE instein and Minkowski. But it is not an attempt to expound either Einstein searlier or his later theory. The metrical formulae finally arrived at are those of the earlier theory, but the meanings ascribed to the algebraic symbols are entirely different. As the result of a consideration of the character of our knowledge in general, and of our knowledge of nature in particular, undertaken in Part I of this book and in my two previous works on this subject, I deduce that our experience requires and exhibits a basis of uniformity, and that in the case of nature this basis exhibits itself as the uniformity of spatio-temporal relations. This conclusion entirely cuts away the casual heterogeneity of these relations which is the essential of Einstein slater theory. It is this uniformity which is essential to my outlook, and not theE uclidean geometry which I adopt as lending itself to the simplest exposition of the facts of nature. I should be very willing to believe that each permanent space is either uniformly elliptic or uniformly hyperbolic, if any observations are more simply explained by such a hypothesis. It is inherent in my theory to maintain the old division between physics and geometry. Physics is the The Principles of Natural Knowledge and The Concept of Nature, both Cambridge Univ. Press.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text.

Présentation de l'éditeur

Excerpt from The Principle of Relativity: With Applications to Physical Science

The present work is an exposition of an alternative rendering of the theory of relativity. It takes its rise from that 'awakening from dogmatic slumber' - to use Kant's phrase - which we owe to Einstein and Minkowski. But it is not an attempt to expound either Einstein's earlier or his later theory. The metrical formulae finally arrived at are those of the earlier theory, but the meanings ascribed to the algebraic symbols are entirely different. As the result of a consideration of the character of our knowledge in general, and of our knowledge of nature in particular, undertaken in Part I of this book and in my two previous works on this subject, I deduce that our experience requires and exhibits a basis of uniformity, and that in the case of nature this basis exhibits itself as the uniformity of spatio-temporal relations. This conclusion entirely cuts away the casual heterogeneity of these relations which is the essential of Einstein's later theory. It is this uniformity which is essential to my outlook, and not the Euclidean geometry which I adopt as lending itself to the simplest exposition of the facts of nature. I should be very willing to believe that each permanent space is either uniformly elliptic or uniformly hyperbolic, if any observations are more simply explained by such a hypothesis.

It is inherent in my theory to maintain the old division between physics and geometry.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1440073929
• ISBN 13: 9781440073922
• Reliure: Broché
• Nombre de pages: 206
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
• Personne responsable: non disponible