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Scaling, Self-Similarit
US $39.95
ApproximatelyRM 168.93
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“No markings or major damage. Normal wear. See photos”
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A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages.
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Located in: Dayton, Ohio, United States
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Estimated between Sat, 9 Aug and Thu, 14 Aug to 94104
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eBay item number:116680636886
Item specifics
- Condition
- Good
- Seller Notes
- “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
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
Item description from the seller
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- k***o (1368)- Feedback left by buyer.Past monthVerified purchaseThank you. Just as described.
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Seller feedback (320)
- k***o (1368)- Feedback left by buyer.Past monthVerified purchaseThank you. Just as described.
- 1***a (48)- Feedback left by buyer.Past monthVerified purchasePretty much accurate description but still good
- d***r (163)- Feedback left by buyer.Past monthVerified purchaseAbsolutely precious! My granddaughter will love it. No smell.would use this seller again!