國立高雄大學圖資館 |

Language: English

Back

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Surface/volumeby 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.
Contained By:	Springer Nature eBook
Subject:	SurfacesAreas and volumes.
Online resource:	https://doi.org/10.1007/978-3-031-23749-2
ISBN:	9783031237492$q(electronic bk.)

Surface/volumehow 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$q(electronic bk.)

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

251012
Surfaces
--Areas and volumes.

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

Dewey Class. No.: 620.44

Surface/volumehow geometry explains why grain elevators explode, hummingbirds hover, and asteroids are colder than ice /
LDR:02064nmm a2200325 a 4500 001 640416
003 DE-He213
005 20230228103418.0
006 m d
007 cr nn 008maaau
008 231025s2023 sz s 0 eng d
020 $a 9783031237492$q(electronic bk.)
020 $a 9783031237485$q(paper)
024 7 $a 10.1007/978-3-031-23749-2 $2 doi
035 $a 978-3-031-23749-2
040 $a GP $c GP
041 0 $a eng
050 4 $a TA418.7 $b .R83 2023
072 7 $a TBJ $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a TBJ $2 thema
082 0 4 $a 620.44 $2 23
090 $a TA418.7 $b .R896 2023
100 1 $a Rubin, Alan E. $3 947104
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 251012
650 1 4 $a Mathematical and Computational Engineering Applications. $3 915034
650 2 4 $a Planetary Science. $3 920190
650 2 4 $a Geoengineering. $3 913449
710 2 $a SpringerLink (Online service) $3 273601
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)