Surface/Volume - Alan E. Rubin

Surface/Volume

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

(Autor)

Buch | Softcover
XVII, 182 Seiten
2023 | 1st ed. 2023
Springer International Publishing (Verlag)
978-3-031-23748-5 (ISBN)
37,44 inkl. MwSt
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
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
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