Mathematical Optimization Techniques

Richard Bellman

2024년 3월 · Univ of California Press

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Mathematical Optimization Techniques offers a comprehensive exploration of optimization methods and their applications, as presented at the 1960 Symposium on Mathematical Optimization Techniques in Santa Monica, California. Bringing together mathematicians, scientists, and engineers, the symposium emphasized the interdisciplinary significance of optimization in areas such as linear and nonlinear programming, dynamic programming, and variational processes. The volume delves into mathematical modeling and control systems, examining their role in solving complex problems in flight trajectories, structural design, communication systems, and adaptive controls. The discussions underscore the interplay between mathematical theory and real-world applications, bridging descriptive studies with control processes.

The book is divided into four sections, each tackling a vital aspect of optimization. The first explores variational methods in trajectory optimization, presenting new approaches to balancing differential equations and constraints. The second addresses signal processing, decision-making, and statistical estimation, while the third focuses on linear and nonlinear programming, offering geometric and computational insights into maximizing functions under constraints. The final section examines control processes and automation, highlighting dynamic programming's theoretical and practical advances. Contributors like Bellman, Kalman, and others provide cutting-edge perspectives, making this collection a foundational text for researchers and practitioners in optimization, applied mathematics, and systems engineering.

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1963.