Description: Many phenomena in nature, engineering or society when seen at an intermediate distance, in space or time, exhibit the remarkable property of self-similarity: they reproduce themselves as scales change, subject to so-called scaling laws. It's crucial to know the details of these laws, so that mathematical models can be properly formulated and analysed, and the phenomena in question can be more deeply understood. The author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural attributes of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.
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EAN: 9780521826570
UPC: 9780521826570
ISBN: 9780521826570
MPN: N/A
Item Length: 22.9 cm
Number of Pages: 188 Pages
Publication Name: Scaling
Language: English
Publisher: Cambridge University Press
Item Height: 229 mm
Subject: Mathematics, Physics
Publication Year: 2003
Type: Textbook
Item Weight: 360 g
Author: Grigory Isaakovich Barenblatt
Item Width: 155 mm
Format: Hardcover