《物理科学中的奇异摄动（影印版）》 - John C. Neu - 高等教育出版社 - 香港大書城

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『簡體書』物理科学中的奇异摄动（影印版）

書城自編碼： 4084140
分類：簡體書→大陸圖書→自然科學→物理學
作者： John C. Neu
國際書號(ISBN)： 9787040632491
出版社：高等教育出版社
出版日期： 2025-02-01

頁數/字數： /
釘裝：精装

售價：HK$ 148.5

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內容簡介：

This book is the testimony of a physical scientist whose language is singular perturbation analysis. Classical mathematical notions， such as matched asymptotic expansions， projections of large dynamical systems onto small center manifolds， and modulation theory of oscillations based either on multiple scales or on averaging/transformation theory， are included. The narratives of these topics are carried by physical examples: Let’s say that the moment when we “see” how a mathematical pattern fits a physical problem is like “hitting the ball”. Yes， we want to hit the ball. But a powerful stroke includes the follow-through. One intention of this book is to discern in the structure and/or solutions of the equations their geometric and physical content. Through analysis， we come to sense directly the shape and feel of phenomena.The book is structured into a main text of fundamental ideas and a subtext of problems with detailed solutions. Roughly speaking， the former is the initial contact between mathematics and phenomena， and the latter emphasizes geometric and physical insight. It will be useful for mathematicians and physicists learning singular perturbation analysis of ODE and PDE boundary value problems as well as the full range of related examples and problems. Prerequisites are basic skills in analysis and a good junior/senior level undergraduate course of mathematical physics.

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