From Pythagoras to Einstein

K. O. Friedrichs

doi:10.5948/UPO9780883859315

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The main thread running through this somewhat unorthodox approach to the special theory of relativity is the Pythagorean theorem. It appears in its most elementary geometric form in the very beginning of this monograph. Then it reappears in algebraic garb, it is further modified and finally reinterpreted to play the role of one of the main characters in the special theory of relativity. The first four chapters are easily accessible to high school sophomores or juniors. The remaining part of the book may be a little difficult for students who never studied physics, although the author actually employs only the notion of impact and presupposes no background in physics. With the aid of the vector geometry introduced earlier, he leads the reader from the impact conservation laws to the famous formula e=mc^2.

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From Pythagoras to Einstein

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Contents

Frontmatter
pp i-iv

Contents
pp v-v

NEW MATHEMATICAL LIBRARY
pp vi-vi

Preface
pp vii-vii

Dedication
pp viii-viii

Introduction
pp 1-4

Chapter 1 - The Pythagorean Theorem
pp 5-12

Chapter 2 - Signed Numbers
pp 13-16

Chapter 3 - Vectors
pp 17-30

Chapter 4 - Components and Coordinates. Spaces of Higher Dimension
pp 31-40

Chapter 5 - Momentum and Energy. Elastic Impact
pp 41-54

Chapter 6 - Inelastic Impact
pp 55-62

Chapter 7 - Space and Time Measurement in the Special Theory of Relativity
pp 63-78

Chapter 8 - Momentum and Energy in the Special Theory of Relativity. Impact
pp 79-88

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From Pythagoras to Einstein

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