Home Page Icon
Home Page
Table of Contents for
Cover
Close
Cover
by Paul J. Nahin
Mrs. Perkins's Electric Quilt
Cover
Title Page
Copyright
Dedication
Contents
For the Reader
Preface
Chapter 1 - Three Examples of the Mutual Embrace
1.1 Unphysical Laws
1.2 When Math Goes Wrong
Chapter 2 - Measuring Gravity
2.1 First, a Little Theory
2.2 Out in the Author’s Garage
Chapter 3 - Feynman’s Infinite Circuit
3.1 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
Chapter 4 - Air Drag—A Mathematical View
4.1 Air Drag Treated Broadly
4.2 Air Drag Treated with Some Detail
Chapter 5 - Air Drag—A Physical View
5.1 The Quadratic Force Law
5.2 Long Falls through a Real Atmosphere
Chapter 6 - Really Long Falls
6.1 Falling into the Sun
6.2 Falling from Heaven to Hell
Chapter 7 - 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
Chapter 8 - 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
Chapter 9 - Ballistics—With Air Drag
9.1 Thin Air Cannot Be Ignored!
9.2 Air Drag and Baseball
Chapter 10 - Gravity and Newton
10.1 The Beginnings of Modern Gravity
10.2 Newton’s Superb Theorems
10.3 The Moon Test and Blowing-Up Planets
10.4 A Surprising Gravity Calculation
10.5 Gravitational Contraction
Chapter 11 - Gravity Far Above the Earth
11.1 Kepler’s Laws of Planetary Motion
11.2 Weighing the Planets
Chapter 12 - Gravity Inside the Earth
12.1 Newton’s Experiment
12.2 Gravity Inside the Earth
12.3 Pressure at the Center of the Earth
12.4 Travel Inside the Earth
12.5 Epilogue
Chapter 13 - Quilts & Electricity
13.1 Recreational Mathematics
13.2 Electric Quilts
13.3 Three Impossibility Proofs
Chapter 14 - Random Walks
14.1 Ronald Ross and the Flight of Mosquitoes
14.2 Karl Pearson Formulates a Famous Problem
14.3 Gambler’s Ruin
14.4 The Monte Carlo Method
Chapter 15 - Two More Random Walks
15.1 Brownian Motion
15.2 Shrinking Walks
Chapter 16 - Nearest Neighbors
16.1 Cannibals Can Be Fun!
16.2 Neighbors Beyond the Nearest
16.3 What Happens When We Have Lots of Cannibals
16.4 Serious Physics
Chapter 17 - One Last Random Walk
17.1 Resistor Mathematics
17.2 Electric Walks
17.3 Monte Carlo Circuit Simulation
17.4 Symmetry, Superposition, and Resistor Circuits
Chapter 18 - The Big Noise
18.1 An Interesting Textbook Problem
18.2 The Polar Equations of the Big-Noise Flight
18.3 The Acceleration on a Big-Noise Flight Path
Chapter 19 - Electricity in the Fourth Dimension
19.1 The Tesseract
19.2 Connecting a Tesseract Resistor Cube
Acknowledgments
Index
Also by Paul J. Nahin
Search in book...
Toggle Font Controls
Playlists
Add To
Create new playlist
Name your new playlist
Playlist description (optional)
Cancel
Create playlist
Sign In
Email address
Password
Forgot Password?
Create account
Login
or
Continue with Facebook
Continue with Google
Sign Up
Full Name
Email address
Confirm Email Address
Password
Login
Create account
or
Continue with Facebook
Continue with Google
Next
Next Chapter
Mrs. Perkins’s Electric Quilt: And other Intriguing Stories of Mathematical Physics
Add Highlight
No Comment
..................Content has been hidden....................
You can't read the all page of ebook, please click
here
login for view all page.
Day Mode
Cloud Mode
Night Mode
Reset