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Skalierung (Cambridge Texte in Angewandter Mathematik, Seriennummer 34), Barenblatt,
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eBay-Artikelnr.:166830746039
Artikelmerkmale
- Artikelzustand
- Book Title
- Scaling (Cambridge Texts in Applied Mathematics, Series Number 34
- ISBN
- 9780521826570
Über dieses Produkt
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521826578
ISBN-13
9780521826570
eBay Product ID (ePID)
2403772
Product Key Features
Number of Pages
188 Pages
Language
English
Publication Name
Scaling
Publication Year
2003
Subject
General, Physics / Mathematical & Computational
Type
Textbook
Subject Area
Mathematics, Science
Series
Cambridge Texts in Applied Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.6 in
Item Weight
12.7 Oz
Item Length
9 in
Item Width
6.1 in
Additional Product Features
Intended Audience
College Audience
LCCN
2004-299345
Reviews
"This book describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are given a modern treatment here." Mechanical Engineering, "The book is accessible to a general mathematically literate audience: the complex physical phenomena are presented clearly and economically. Readers will be rewarded with a wealth of examples, with guiding general principles and with profound insights." American Mathematical Society Reviews, 'Professor Barenblatt has produced an admirable introduction to this subject, which combines lucid mathematical treatments with perceptive discussions of the principles ... Undergraduate and graduate students will benefit from courses based on this book, but the specialist will also find paradoxes and controversies quietly resolved by the careful use of the scaling methods discussed by Barenblatt. Needless to say, coming from this author, the book is clearly and elegantly written, well presented and well illustrated.' Contemporary Physics, 'Professor Barenblatt has produced an admirable introduction to this subject, which combines lucid mathematical treatments with perceptive discussions of the principles … Undergraduate and graduate students will benefit from courses based on this book, but the specialist will also find paradoxes and controversies quietly resolved by the careful use of the scaling methods discussed by Barenblatt. Needless to say, coming from this author, the book is clearly and elegantly written, well presented and well illustrated.' Contemporary Physics, '… written in a concise and clear fashion … Readers will be rewarded with a wealth of examples, with guiding general principles and with profound insights.' Mathematical Reviews, 'This book will become a classic ... Barenblatt's delightful book though, is more than [a] just an introduction to scaling: it can also be read as a philosophy of mathematical modelling. The writing is witty, insightful, and sometimes moving. Every time you read the book, you return refreshed and inspired ... One can only conclude that any mathematical scientist could be inspired to fundamental advances in their own domain after studying this marvellous book.' The Journal of Fluid Mechanics, '... written in a concise and clear fashion ... Readers will be rewarded with a wealth of examples, with guiding general principles and with profound insights.' Mathematical Reviews, 'This book will become a classic … Barenblatt's delightful book though, is more than [a] just an introduction to scaling: it can also be read as a philosophy of mathematical modelling. The writing is witty, insightful, and sometimes moving. Every time you read the book, you return refreshed and inspired … One can only conclude that any mathematical scientist could be inspired to fundamental advances in their own domain after studying this marvellous book.' The Journal of Fluid Mechanics
Dewey Edition
22
Series Volume Number
Series Number 34
Illustrated
Yes
Dewey Decimal
530.15/95
Table Of Content
Foreword; Introduction; 1. Dimensional analysis and physical similarity; 2. Self-similarity and intermediate asymptotics; 3. Scaling laws and self-similar solutions which cannot be obtained by dimensional analysis; 4. Complete and incomplete similarity; 5. Scaling and transformation groups and the renormalisation group; 6. Self-similar solutions and traveling waves; 7. Scaling laws and fractals; 8. Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers; References; Index.
Synopsis
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. In this 2003 book, 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., Starting from dimensional analysis and physical similarity, G. Barenblatt describes the art of discovering scaling laws. He demonstrates the concepts of intermediate asymptotics and the renormalization group as natural consequences of self-similarity and shows how and when these tools can tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used independently by biologists, chemists, astronomers, engineers and geoscientists., This 2003 book describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity. It demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural consequences of self-similarity and shows how and when these notions and tools can be applied, and when they cannot.
LC Classification Number
QC174.85.S34 B36 200
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