Scaling (Cambridge Texts in Applied Mathematics)

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

Number of Pages: 188 Pages

Publication Name: Scaling

Language: English

Publisher: Cambridge University Press

Publication Year: 2003

Item Height: 0.6 in

Subject: General, Physics / Mathematical & Computational

Type: Textbook

Item Weight: 12.7 Oz

Item Length: 9 in

Author: M. J. Ablowitz

Subject Area: Mathematics, Science

Item Width: 6.1 in

Series: Cambridge Texts in Applied Mathematics Ser.

Format: Hardcover