Shapes and Geometries: Analysis, Differential Calculus, and Optimization
Shapes and Geometries: Analysis, Differential Calculus, and Optimization
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发表时间：
1987
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通讯作者：
M. Delfour;J. Zolésio
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作者：
M. Delfour;J. Zolésio
这本书提供了一个独立的数学基础，结构和必要的研究问题的建模，优化，或控制变量不再是一组参数或功能，但形状或结构的几何对象的工具介绍。几何和几何：分析，微分学和优化提出了广泛的，最近开发的理论基础，以形状优化的形式，可用于工程界。它还清楚地解释了国家的最先进的发展，在数学语言，将吸引数学家开放的问题，在这一重要领域。
This book provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object. Shapes and Geometries: Analysis, Differential Calculus, and Optimization presents the extensive, recently developed theoretical foundation to shape optimization in a form that can be used by the engineering community. It also clearly explains the state-of-the-art developments in a mathematical language that will attract mathematicians to open questions in this important field.