Scaling: Dimensional Analysis, the Renormalization Group, and Self-similarity by Grigory Isaakovich BarenblattScaling: Dimensional Analysis, the Renormalization Group, and Self-similarity by Grigory Isaakovich Barenblatt

Scaling: Dimensional Analysis, the Renormalization Group, and Self-similarity

byGrigory Isaakovich Barenblatt

Paperback | December 8, 2003

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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.
Title:Scaling: Dimensional Analysis, the Renormalization Group, and Self-similarityFormat:PaperbackPublished:December 8, 2003Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521533945

ISBN - 13:9780521533942

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Table of Contents

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.

Editorial Reviews

"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