Surface/Volume

How Geometry Explains Why Grain Elevators Explode, Hummingbirds Hover, and Asteroids are Colder than Ice

Alan E. Rubin (Autor)

Buch | Softcover

XVII, 182 Seiten

2023
Springer International Publishing (Verlag)
978-3-031-23748-5 (ISBN)

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This book explains that diffusion, osmosis, dissolution, evaporation, and heat loss all preferentially affect small bodies due to their high surface/volume ratios. Because surface area increases as the square of length, but volume (and mass) increase as the cube, large objects have low surface/volume ratios and small objects have high surface/volume ratios. This simple physical constraint governs much of the physical world. It accounts for why the Earth has active volcanoes, but the Moon does not, why the human brain has numerous folds, why deciduous trees lose their leaves every Fall, and why nanoparticles of gold melt at surprisingly low temperatures. It is a phenomenon well known to every scientist, but this book is the first comprehensive treatment of this effect.

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Introduction.- A Truncated History of Geometry.- Middle School Math.- Asteroids, Moons, Planets, and Meteorites.- Geologic Processes.- Geometry of Life.- Biochemistry.- Chemical Reactions.- Ecology.- Manufacturing.

Erscheinungsdatum	02.03.2023
Zusatzinfo	XVII, 182 p. 134 illus., 109 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	347 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Geowissenschaften ► Meteorologie / Klimatologie
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Technik ► Bauwesen
Schlagworte	applied math • General Science • Geometry • Planetary Science • Surface/Volume ratio
ISBN-10	3-031-23748-X / 303123748X
ISBN-13	978-3-031-23748-5 / 9783031237485
Zustand	Neuware