Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools (Springer Series in Synergetics) 2nd Edition by Didier Sornette (PDF)

Description

Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the first textbook written by a well-known expert that provides a modern up-to-date introduction for workers outside statistical physics.

User’s Reviews

Editorial Reviews: From the Back Cover Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the first textbook written by a well-known expert that provides a modern up-to-date introduction for workers outside statistical physics. The emphasis of the book is on a clear understanding of concepts and methods, while it also provides the tools that can be of immediate use in applications. Although this book evolved out of a course for graduate students, it will be of great interest to researchers and engineers, as well as to post-docs in geophysics and meteorology.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book describes many mathematical techniques used to study complex systems and numerous applications. These techniques include random walks, large deviations, fractals, power laws and renormalization. A strength of the book is relating these techniques to each other and applications in several fields. The book assumes readers are comfortable with calculus and statistics. It thus complements introductory books such as

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⭐.The book includes an extensive bibliography, and provides a unifying survey of these references. Unfortunately, the index is skimpy making it difficult to quickly find particular topics when using the book as a reference. E.g., the discussions of ‘coherent noise’, ‘finite-size scaling’ an ‘highly optimized tolerance’ are not mentioned in the index. The text has numerous typos that would easily be found by a spell checker, giving the impression there may also be more substantive errors.

⭐色々な数理科学のエッセンスをつめたような本です。べき乗則がどのように表れるか、など痒いところに手が届きます。その分一つ一つのトピックはそこまで深入りしていません。既存論文を多量に紹介している点も良いです。個人的にランダムウォークの交差性やくりこみ論を紹介している点がとても気に入りました。

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