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Surface/volume = how geometry explai...

Rubin, Alan E.

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Surface/volume = how geometry explains why grain elevators explode, hummingbirds hover, and asteroids are colder than ice /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Surface/volume/ by Alan E. Rubin.
Reminder of title:	how geometry explains why grain elevators explode, hummingbirds hover, and asteroids are colder than ice /
Author:	Rubin, Alan E.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	xvii, 182 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Introduction -- A Truncated History of Geometry -- Middle School Math -- Asteroids, Moons, Planets, and Meteorites -- Geologic Processes -- Geometry of Life -- Biochemistry -- Chemical Reactions -- Ecology -- Manufacturing.
Contained By:	Springer Nature eBook
Subject:	Surfaces - Areas and volumes. -
Online resource:	https://doi.org/10.1007/978-3-031-23749-2
ISBN:	9783031237492

Surface/volume = how geometry explains why grain elevators explode, hummingbirds hover, and asteroids are colder than ice /
Rubin, Alan E.

Surface/volumehow geometry explains why grain elevators explode, hummingbirds hover, and asteroids are colder than ice /[electronic resource] :by Alan E. Rubin. - Cham :Springer Nature Switzerland :2023. - xvii, 182 p. :ill. (some col.), digital ;24 cm.

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

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.

ISBN: 9783031237492

Standard No.: 10.1007/978-3-031-23749-2doiSubjects--Topical Terms:

672638
Surfaces
--Areas and volumes.

LC Class. No.: TA418.7 / .R83 2023

Dewey Class. No.: 620.44

Surface/volume = how geometry explains why grain elevators explode, hummingbirds hover, and asteroids are colder than ice /
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100 1 $a Rubin, Alan E. $3 3629413
245 1 0 $a Surface/volume $h [electronic resource] : $b how geometry explains why grain elevators explode, hummingbirds hover, and asteroids are colder than ice / $c by Alan E. Rubin.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
300 $a xvii, 182 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Introduction -- A Truncated History of Geometry -- Middle School Math -- Asteroids, Moons, Planets, and Meteorites -- Geologic Processes -- Geometry of Life -- Biochemistry -- Chemical Reactions -- Ecology -- Manufacturing.
520 $a 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.
650 0 $a Surfaces $x Areas and volumes. $3 672638
650 1 4 $a Mathematical and Computational Engineering Applications. $3 3592737
650 2 4 $a Planetary Science. $3 3593568
650 2 4 $a Geoengineering. $3 3538885
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-23749-2
950 $a Mathematics and Statistics (SpringerNature-11649)