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Scaling Self Similarity And Intermediate Asymptotics Cambridge Texts In Applied Mathematics 标度自相似性和中间渐近 Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Scaling Self Similarity And Intermediate Asymptotics Cambridge Texts In Applied Mathematics 标度自相似性和中间渐近 book. This book definitely worth reading, it is an incredibly well-written.
Author : G. I. Barenblatt
Publisher : Unknown
Page : 386 pages
File Size : 52,7 Mb
Release : 2000
Category : Mathematical physics
ISBN : 7506247259
Author : Grigory Isaakovich Barenblatt
Publisher : Unknown
Page : 386 pages
File Size : 50,8 Mb
Release : 2005
Category : Electronic
ISBN : OCLC:907499988
Author : G. I. Barenblatt
Publisher : Cambridge University Press
Page : 412 pages
File Size : 52,6 Mb
Release : 1996-12-12
Category : Mathematics
ISBN : 0521435226
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.
Author : G. I. Barenblatt
Publisher : Unknown
Page : 386 pages
File Size : 42,7 Mb
Release : 1996
Category : Differential equations
ISBN : 1107050243
Author : G. I. Barenblatt
Publisher : Unknown
Page : 236 pages
File Size : 48,5 Mb
Release : 1979-01-01
Category : Electronic
ISBN : 0608057533
Author : G. Barenblatt
Publisher : Springer
Page : 218 pages
File Size : 41,8 Mb
Release : 2012-01-28
Category : Technology & Engineering
ISBN : 1461585724
Professor Grigorii Isaakovich Barenblatt has written an outstanding book that contains an attempt to answer the very important questions of how to under stand complex physical processes and how to interpret results obtained by numerical computations. Progress in numerical calculation brings not only great good but also notori ously awkward questions about the role of the human mind. The human partner in the interaction of a man and a computer often turns out to be the weak spot in the relationship. The problem of formulating rules and extracting ideas from vast masses of computational or experimental results remains a matter for our brains, our minds. This problem is closely connected with the recognition of patterns. It is not just a coincidence that in both the Russian and English languages the word "obvious" has two meanings-not only something easily and clearly understood, but also something immediately evident to our eyes. The identification of forms and the search for invariant relations constitute the foundation of pattern recognition; thus, we identify the similarity oflarge and small triangles, etc.
Author : Volodymyr Nekrashevych
Publisher : American Mathematical Soc.
Page : 256 pages
File Size : 49,7 Mb
Release : 2005
Category : Mathematics
ISBN : 0821838318
Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its intimate relationship with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. This connection is established through the central topics of the book, which are the notions of the iterated monodromy group and limit space. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. In particular, it is shown that Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties can appear not just as isolated examples, but as naturally defined iterated monodromy groups of rational functions. The book offers important, new mathematics that will open new avenues of research in group theory and dynamical systems. It is intended to be accessible to a wide readership of professional mathematicians.
