Home Page Icon
Home Page
Table of Contents for
Dedication
Close
Dedication
by Edward Beltrami
Mathematical Models for Society and Biology, 2nd Edition
Cover image
Title page
Table of Contents
Copyright
Dedication
Preface to the Second Edition
Acknowledgments
Chapter 1. Crabs and Criminals
1.1 Background
1.2 Transitions Between States
1.3 Social Mobility
1.4 Absorbing Chains
1.5 Recidivism
1.6 Concluding Thoughts
Chapter 2. It Isn’t Fair
2.1 Background
2.2 Manpower Scheduling
2.3 Apportionment
2.4 An Inheritance in the Talmud and Madoff’s Scheme
2.5 A Few Mathematical Details
2.6 Concluding Thoughts
Chapter 3. While the City Burns
3.1 Background
3.2 Poisson Events
3.3 The Inverse Square-Root Law
3.4 The Encumbrance of an Urban Grid
3.5 Equilibrium States
3.6 How Busy are the Fire Companies?
3.7 Optimal Deployment of Fire Companies
3.8 Concluding Thoughts
Chapter 4. Clean Streets
4.1 Background
4.2 Euler Tours
4.3 Street Sweeping
4.4 Vehicle Scheduling
4.5 Concluding Thoughts
Chapter 5. A Bayesian Take on Colorectal Screening, Baseball, Fund Managers, and a Murder
5.1 Background
5.2 Bayes’ Theorem
5.3 Colorectal Screening
5.4 Murder and OJ Simpson
5.5 Skeptical Bayesians
5.6 Batting Averages and a Paradox
5.7 A Few Mathematical Details
5.8 Comparing Apples and Oranges
5.9 Concluding Thoughts
Chapter 6. What Are the Odds of That?
6.1 Background
6.2 Coincidence and Near-Coincidence
6.3 A Few Mathematical Details
6.4 Fire Alarms, Bomb Hits, and Baseball Streaks
6.5 Not a Designer but a Gardener
6.6 Chi-Squared
6.7 Stock Funds and Baseball Streaks, Redux
6.8 Concluding Thoughts
Chapter 7. It’s Normal Not to Be Normal
7.1 Background
7.2 The One-Percenters
7.3 Market Volatility
7.4 A Few Mathematical Details
7.5 Concluding Thoughts
Chapter 8. Boom and Bust
8.1 Background
8.2 A Fishery Model
8.3 Unstable Equilibria and Cyclic Behavior
8.4 A Second Look at the Fishery Model
8.5 A Restricted-Access Fishery
8.6 Concluding Thoughts
Chapter 9. Viral Outbreaks and Blood Clots
9.1 Background
9.2 Measles Epidemics
9.3 Chaotic Dynamics or Randomness?
9.4 Predator-Mediated Coexistence
9.5 An Unusual Bloom
9.6 Viral Contamination of Algae
9.7 Blood Clotting
9.8 Concluding Thoughts
Chapter 10. Red Tides and Whatever Happened to the Red Squirrel?
10.1 Background
10.2 Reaction and Diffusion
10.3 Algal Patches
10.4 Traveling Waves
10.5 The Spread of the Gray Squirrel
10.6 Rabid Foxes and Traffic Congestion
10.7 Concluding Thoughts
Chapter 11. Spatial Patterns: The Cat’s Tail and Spreading Slime
11.1 Background
11.2 Stripes or Splotches?
11.3 Slime Molds
Chapter 12. The Coil of Life
12.1 Background
12.2 Link, Twist, and Writhe
12.3 Loopy DNA
12.4 The Gauss Linking Number
12.5 Concluding Thoughts
Afterthoughts on Modeling
Appendix A. The Normal Density
Appendix B. Poisson Events
Appendix C. Nonlinear Differential Equations and Oscillations
Appendix D. Conditional Probability
References
Index
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
Prev
Previous Chapter
Copyright
Next
Next Chapter
Preface to the Second Edition
Dedication
To the memory of Jay, who was there at the beginning.
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