_ _ _ _ _ _ _ _ _ _ Ballistics-With No Air Drag (Yet) 8.1 Shooting a Cannon in a Vacuum 8.2 What Makes a Champion Shot-Putter? 8.3 Another Cannon Question
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_ _ _ _ _ _ _ _ _ _ The Zeta Function-and Physics 7.1 A Curious Double Integral 7.2 Fourier Series and the Zeta Function 7.3 The Zeta Function in Physics _ _ _ _ _ _ _ _ _ _ Really Long Falls 6.1 Falling into the Sun 6.2 Falling from Heaven to Hell _ _ _ _ _ _ _ _ _ _ Air Drag-A Physical View 5.1 The Quadratic Force Law 5.2 Long Falls through a Real Atmosphere _ _ _ _ _ _ _ _ _ _ Air Drag-A Mathematical View 4.1 Air Drag Treated Broadly 4.2 Air Drag Treated with Some Detailġ 1 6 13 18 18 21 24 24 27 32 36 44 44 51
_ _ _ _ _ _ _ _ _ _ Feynman’s Infinite CircuitĮmbrace 1.1 Unphysical Laws 1.2 When Math Goes Wrong 1.3 Math from PhysicsĢ.1 First, a Little Theory 2.2 Out in the Author’s Garageģ.1 An Infinity of Resistors 3.2 An Infinity of Reactances, and Recursion 3.3 Convergence-or Not? 3.4 Three More Infinite, All-Resistor Networks _ _ _ _ _ _ _ _ _ _ Three Examples of the Mutual ∞ Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 QC20.N34 2009 530.15-dc22 2008044856 British Library Cataloging-in-Publication Data is available This book has been composed in ITC New Baskerville Printed on acid-free paper.
Perkins’s electric quilt: and other intriguing stories of mathematical physics / by Paul J. C 2009 by Princeton University Press Copyright Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW All Rights Reserved Library of Congress Cataloging-in-Publication Data Nahin, Paul J.