Principles of Dynamic Optimization (Springer Monographs in Mathematics)
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Principles of Dynamic Optimization (Springer Monographs in Mathemat...
Book Details
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Author: Piernicola Bettiol
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Brand: Springer
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Edition: 1st ed. 2024
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Binding: Hardcover
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Number of Pages: 769
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Release Date: 19-06-2024
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EAN: 9783031500886
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Package Dimensions: 9.4 x 6.6 x 1.7 inches
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Languages: English
About The Book
This monograph by Piernicola Bettiol provides an in-depth and mathematically rigorous exploration of the modern theory of dynamic optimization. The text focuses on key advancements in the field, with particular emphasis on nonsmooth analytic techniques.
The book provides a comprehensive treatment of necessary conditions, minimizer regularity, and global optimality conditions, especially in relation to the Hamilton-Jacobi equation. The author introduces new streamlined proofs of fundamental theorems, making the material more accessible and removing previous complexities.
Key Features:
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Comprehensive Treatment: Covers essential topics in dynamic optimization with a detailed focus on nonsmooth analysis and its application to dynamic programming and the Hamilton-Jacobi equation.
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Mathematical Rigor: Offers a mathematically rigorous and clear presentation, making it suitable for postgraduates, researchers, and professionals in optimization, applied mathematics, and system science.
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Innovative Proofs: Features new, streamlined proofs of core theorems that improve the clarity and efficiency of understanding.
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Historical Context: Provides a detailed overview of the history and development of dynamic optimization theory, emphasizing areas where deeper analysis improves upon earlier theories.
The book is an essential resource for anyone seeking a deeper understanding of dynamic optimization, from students to professionals in optimization and applied mathematics.
