Dimensional Analysis (Classic Reprint) - Couverture souple

P. W. Bridgman

Couverture souple

ISBN 10 : 1451002629 ISBN 13 : 9781451002621

Editeur : Forgotten Books, 2018

Synopsis

Dimensional Analysis explains how to uncover the relationships that govern physical problems, using simple, scalable reasoning. Learn to build and test functional relations that hold no matter how units change, illustrated with classic problems like the pendulum and waves on water. This approach helps you predict outcomes and check consistency without solving every detail.

In this edition, you’ll see how to choose fundamental units, form dimensionless products, and apply the method to mechanics and hydrodynamics. It emphasizes what changes when units shift, and what remains constant, so you can reason about physical systems with clarity and confidence.

• Identify the quantities involved in a problem and their dimensions.


• Construct dimensionless products and use them to derive relationships.


• Explore how the method applies to pendulums, waves, drops, and oscillations.


• Understand the limits and assumptions behind dimensional analysis and its use in modeling experiments.

Ideal for readers of physics and engineering who want a practical, hands-on tool for simplifying and checking complex problems.

A propos du livre

Présentation de l'éditeur

Excerpt from Dimensional Analysis

The substance of the following pages was given as a series of five lectnres to the Graduate Conference in Physics of Harvard University in the spring of 1920.

The growing use of the methods of dimensional analysis in technical physics, as well as the importance of the method in theoretical investigations, makes it desirable that every physicist should have this method of analysis at his command. There is, however, nowhere a systematic exposition of the principles of the method. Perhaps the reason for this lack is the feeling that the subject is so simple that any formal presentation is superfluous. There do, nevertheless, exist important misconceptions as to the fundamental character of the method and the details of its use. These misconceptions are so widespread, and have so profoundly influenced the character of many speculations, as I shall try to show by many illustrative examples, that I have thought an attempt to remove the misconceptions well worth the effort.

I have, therefore, attempted a systematic exposition of the principles underlying the method of dimensional analysis, and have illustrated the applications with many examples especially chosen to emphasize the points concerning which there is the most common misunderstanding, such as the nature of a dimensional formula, the proper number of fundamental units, and the nature of dimensional constants. In addition to the examples in the text, I have included at the end a number of practise problems, which I hope will be found instructive.

The introductory chapter is addressed to those who already have some acquaintance with the general method. Probably most readers will be of this class. I have tried to show in this chapter by actual examples what are the most important questions in need of discussion. The reader to whom the subject is entirely new may omit this chapter without trouble.

I am under especial obligation to the papers of D...

Présentation de l'éditeur

Graduate Conference in Physics of Harvard University in the spring of 1920. The growing use of the methods of dimensional analysis in technical physics, as well as the importance of the method in theoretical investigations, makes it desirable that every physicist should have this method of analysis at his command. There is, however, nowhere a systematic exposition of the principles of the method. Perhaps the reason for this lack is the feeling that the subject is so simple that any formal presentation is superfluous. There do, nevertheless, exist important misconceptions as to the fundamental character of the method and the details of its use. These misconceptions are so widespread, and have so profoundly influenced the character of many speculations, as I shall try to show by many illustrative examples, that I have thought an attempt to remove the misconceptions well worth the effort. I have, therefore, attempted a systematic exposition of the principles underlying the method of dimensional analysis, and have illustrated the applications with many examples especially chosen to emphasize the points concerning which there is the most common misunderstanding, such as the nature of a dimensional formula, the proper number of fundamental units, and the nature of dimensional constants. In addition to the examples in the text, I have included at the end a number of practise problems, which I hope will be found instructive. The introductory chapter is addressed to those who already have some acquaintance with the general method. Probably most readers will be of this class. I have tried to show in this chapter by actual examples what are the most important questions in need of discussion. The reader to whom the subject is entirely new may omit this chapter without trouble. I am under especial obligation to the papers of Dr. Edgar Buckingham on this subject. I am als
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Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1451002629
• ISBN 13: 9781451002621
• Reliure: Broché
• Nombre de pages: 122
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