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Essential Physics

By Firk, Frank W. K.

Physics Literature

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Book Id: WPLBN0000659898
Format Type: PDF eBook
File Size: 431.93 KB.
Reproduction Date: 2005
Full Text

Title: Essential Physics  
Author: Firk, Frank W. K.
Language: English
Subject: Science., Physics, Physics--Research
Collection: Physics Literature
Publication Date:
Preface: Throughout the decade of the 1990?s, I taught a one-year course of a specialized nature to students who entered Yale College with excellent preparation in Mathematics and the Physical Sciences, and who expressed an interest in Physics or a closely related field. The level of the course was that typified by the Feynman Lectures on Physics. My one-year course was necessarily more restricted in content than the two-year Feynman Lectures. The depth of treatment of each topic was limited by the fact that the course consisted of a total of fifty-two lectures, each lasting one-and-a-quarter hours. The key role played by invariants in the Physical Universe was constantly emphasized ...

Table of Contents
CONTENTS 1 MATHEMATICAL PRELIMINARIES 1.1 Invariants 1 1.2 Some geometrical invariants 2 1.3 Elements of differential geometry 5 1.4 Gaussian coordinates and the invariant line element 7 1.5 Geometry and groups 10 1.6 Vectors 13 1.7 Quaternions 13 1.8 3-vector analysis 16 1.9 Linear algebra and n-vectors 18 1.10 The geometry of vectors 21 1.11 Linear operators and matrices 24 1.12 Rotation operators 25 1.13 Components of a vector under coordinate rotations 27

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