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Scaling, Self-Similarity, and Intermediate Asymptotics Paperback by Isaakovich

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Item specifics

Condition
Good
A book that has been read, but is in good condition. Minimal damage to the book cover eg. scuff marks, but no holes or tears. If this is a hard cover, the dust jacket may be missing. Binding has minimal wear. The majority of pages are undamaged with some creasing or tearing, and pencil underlining of text, but this is minimal. No highlighting of text, no writing in the margins, and no missing pages. See the seller’s listing for full details and description of any imperfections. See all condition definitionsopens in a new window or tab
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“No markings or major damage. Normal wear. See photos”
Book Title
Scaling, Self-similarity, and Intermediate Asymptotics: Dimension
Level
Intermediate
ISBN
9780521435222

About this product

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521435226
ISBN-13
9780521435222
eBay Product ID (ePID)
1080752

Product Key Features

Number of Pages
412 Pages
Publication Name
Scaling, Self-Similarity and Intermediate Asymptotics : Dimensional Analysis and Intermediate Asymptotics
Language
English
Publication Year
1996
Subject
Numerical Analysis, General, Physics / General
Type
Textbook
Subject Area
Mathematics, Science
Author
Grigory Isaakovich Barenblatt
Series
Cambridge Texts in Applied Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Height
0.9 in
Item Weight
21.2 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
95-048212
Series Volume Number
Series Number 14
Illustrated
Yes
Table Of Content
Preface; Introduction; 1. Dimensions, dimensional analysis and similarity; 2. The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics. Self-similar solutions; 3. Self-similarities of the second kind: first examples; 4. Self-similarities of the second kind: further examples; 5. Classification of similarity rules and self-similarity solutions. Recipe for application of similarity analysis; 6. Scaling and transformation groups. Renormalization groups. 7. Self-similar solutions and travelling waves; 8. Invariant solutions: special problems of the theory; 9. Scaling in deformation and fracture in solids; 10. Scaling in turbulence; 11. Scaling in geophysical fluid dynamics; 12. Scaling: miscellaneous special problems.
Synopsis
Scaling (power-type) laws reveal the fundamental property of the phenomena--self similarity. Self-similar (scaling) phenomena repeat themselves in time and/or space. The property of self-similarity simplifies substantially the mathematical modeling of phenomena and its analysis--experimental, analytical and computational. The book begins from a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena. Classical examples of scaling phenomena are presented. It is demonstrated that scaling comes on a stage when the influence of fine details of initial and/or boundary conditions disappeared but the system is still far from ultimate equilibrium state (intermediate asymptotics). It is explained why the dimensional analysis as a rule is insufficient for establishing self-similarity and constructing scaling variables. Important examples of scaling phenomena for which the dimensional analysis is insufficient (self-similarities of the second kind) are presented and discussed. A close connection of intermediate asymptotics and self-similarities of the second kind with a fundamental concept of theoretical physics, the renormalization group, is explained and discussed. Numerous examples from various fields--from theoretical biology to fracture mechanics, turbulence, flame propagation, flow in porous strata, atmospheric and oceanic phenomena are presented for which the ideas of scaling, intermediate asymptotics, self-similarity and renormalization group were of decisive value in modeling., This book begins from a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena, using classical examples to demonstrate that the onset of scaling is not until the influence of initial and/or boundary conditions has disappeared but when the system is still far from equilibrium., Scaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially simplifies the mathematical modelling of the phenomena themselves. This book begins from a non-traditional exposition of dimensional analysis, physical similarity theory, and general theory of scaling phenomena, using classical examples to demonstrate that the onset of scaling is not until the influence of initial and/or boundary conditions has disappeared but when the system is still far from equilibrium. Numerous examples from a diverse range of fields, including theoretical biology, fracture mechanics, atmospheric and oceanic phenomena, and flame propagation, are presented for which the ideas of scaling, intermediate asymptotics, self-similarity, and renormalisation were of decisive value in modelling., This book deals with a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena.
LC Classification Number
QA401 .B3713 1996

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    The item arrived early and had been packed with great care. I worried that for the great low price- at least $10 less than other sellers- that I was buying a “dud.” I have been MORE than pleased with this purchase and can highly recommend this seller. I had gotten an IP at a Goodwill store for $12.99, and realized soon after why it had been donated. It leaked all the steam before it finished cooking and would be bone dry when it was opened. This new lid saved buying a whole new IP. TY!