• Sign In / Register
  • Help
  • Basket0
Scaling - Cambridge Texts in Applied Mathematics 34 (Hardback)
  • Scaling - Cambridge Texts in Applied Mathematics 34 (Hardback)

Scaling - Cambridge Texts in Applied Mathematics 34 (Hardback)

Hardback 188 Pages / Published: 13/11/2003
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket
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.

Publisher: Cambridge University Press
ISBN: 9780521826570
Number of pages: 188
Weight: 360 g
Dimensions: 228 x 152 x 15 mm

'... deserves to be placed on the book shelf of every working applied mathematician.' ZAMP
'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
'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
' ... a superb introduction ...' Zentralblatt MATH

You may also be interested in...

Mathematics for Finance
Added to basket
The Economist Numbers Guide 6th Edition
Added to basket
Doing Bayesian Data Analysis
Added to basket
Renormalization Methods
Added to basket
Chaos: A Very Short Introduction
Added to basket
Schaum's Outline of Fluid Dynamics
Added to basket
Mathematics for Economics and Business
Added to basket
Advanced Engineering Mathematics
Added to basket
Mathematical Techniques
Added to basket
Added to basket
Probability and Random Processes
Added to basket
Maths Skills for A Level Business Studies
Added to basket
Linear Algebra
Added to basket


Please sign in to write a review

Your review has been submitted successfully.