Books about Self similarity from Amazon.com

"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudo primes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography.

From reviews of earlier editions –

"I continue to find [Schroeder’s] Number Theory a goldmine of valuable information. It is a marvelous book, in touch with the most recent applications of number theory and written with great clarity and humor.’ Philip Morrison (Scientific American)

"A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor – useful mathematics outside the formalities of theorem and proof." Martin Gardner

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Price: $75.05 [Notify me when price goes down.]

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..
Price: $46.58 [Notify me when price goes down.]

This book offers, not only an understanding of the nature of persons addicted to both gambling and chemical substances, but also provides critical assistance in formulating treatment plans. Alcoholism and Pathological Gambling demonstrates both the differences and the overwhelming similarities between the two disorders. Included is information about why many individuals consume alcohol and gamble, and why some people develop problems with either or both. Descriptions of both these addictive disorders, diagnostic guidelines, and the psychological, physical, and social processes that sustain the disorders and progression, are discussed. Relevant case studies are used to clarify concepts, and recovery and treatment information is also provided..
Price: $14.95 [Notify me when price goes down.]

This digital document is an article from Remedial and Special Education, published by Thomson Gale on May 1, 2007. The length of the article is 7736 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Middle school students' response to the self-introduction of a student with autism: effects of perceived similarity, prior awareness, and educational message.
Author: Jonathan M. Campbell
Publication:Remedial and Special Education (Magazine/Journal)
Date: May 1, 2007
Publisher: Thomson Gale
Volume: 28 Issue: 3 Page: 163(11)

Distributed by Thomson Gale.
Price: $9.95 [Notify me when price goes down.]

This digital document is a journal article from Journal of International Financial Markets, Institutions & Money, published by Elsevier in 2004. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.

Description:
This paper combines analysis of deterministic non-linear dynamics and stochastic models of long memory volatility processes. Measures of non-linear dependency, due to Savit and Green, and originally used in the physical sciences, are applied to high-frequency foreign exchange rate returns. The analysis is applied before and after long memory characteristics are removed from the volatility process of returns, with the standard errors of the procedure being bootstrapped. The study finds that high-frequency currency returns volatility is well represented by a FIGARCH model. The estimates of the long memory parameter are remarkably consistent across time aggregations and currencies and are suggestive of self-similarity. While there is some evidence of a small remaining amount of non-linear temporal dependence; it is found to be too weak to be exploitable for forecasting purposes. .
Price: $8.95 [Notify me when price goes down.]