Authors | |
Publisher | Springer, Berlin |
Year | |
Version | paperback |
Language | English |
ISBN | 9783031237485 |
Categories | Maths for engineers |
Surface/Volume: How Geometry Explains Why Grain Elevators Explode, Hummingbirds Hover, and Asteroids are Colder than Ice
Introduction
1. A Truncated History of Geometry
2. Middle School Math
2.1 Geometric Forms
2.2 Plane and Solid Geometry
2.2.1 Squares and Cubes
2.2.2 Circles and Spheres
2.3 The Ratio of Surface Area to Volume
3. Asteroids, Moons, Planets and Meteorites
3.1 Inventory of the Solar System
3.2 Surface/Volume Effects in the Inner Solar System
3.3 Meteorite Strewn Fields
3.4 Chondrules
3.5 Aqueous Alteration of Chondritic Meteorites
3.6 Cosmic Spherules
4. Geologic Processes
4.1 Extrusive and Intrusive Igneous Rocks
4.2 Permeability of Sandstones
4.3 Erosion and Weathering
5. Geometry of Life
5.1 Metabolism
5.2 The Surface/Volume Ratios of Mammals and Birds
5.3 Muscles and Wings
5.4 Formidable Formicidae or the Mighty Ant
5.5 Biological Rules of Thumb
5.5.1 Bergmann's Rule
5.5.2 Allen's Rule
5.5.3 Hesse's Rule
5.6 Gigantothermy
5.7 The Impossibility of King Kong (but not Dinosaurs)
5.8 Thermoregulation of Insects
5.9 The Risk of Animal Dehydration
5.10 Krill
5.11 Sponges
5.12 Leaves and Trees
5.12.1 Leaves
5.12.2 Deciduous Trees
5.13 Human Anatomy
5.13.1 The Brain
5.13.2 The Respiratory Tract
5.13.3 The Gastrointestinal Tract
5.14 Human Anatomical and Behavioral Responses to Extreme Temperatures
5.15 Frostbite
5.16 Bacteria
5.17 Oxygen Diffusion Through Red Blood Cells
6. Biochemistry
6.1 Protein Folding
6.2 A Summing Up
7. Chemical Reactions
7.1 Elementary Chemistry
7.2 Chemical Properties of Water
7.3 Dissolution
7.4 The Effort to Reduce Sodium in Food
7.5 Sugar and Candy Making
7.6 Evaporation
7.7 Osmosis
7.8 Grain Elevators
8. Ecology
8.1 Wildfires
8.2 Coral Reefs
9. Manufacturing
9.1 Artificial Bones
9.2 Artificial Lungs
9.3 Aerogel and Stardust
9.4 Giant Telescope Mirrors
9.5 Nanoparticles
Epilogue
References
Index