Mathematical Theory of Optimal Processes

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• NY_USA_Hacker · May 25, 2011 · Mentions

  …-- and this book treats it. The book is a good, elementary start. Apparently Dreyfus was a R. Bellman student. For L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mischenko, 'The Mathematical Theory of Optimal Processes', ISBN 0-470-69381-9, Interscience Publishers, John Wiley & Sons, New York. it was, of course, the main source of the Pontryagin maximum principle, and, thus, a swift kick in the back side for parts…

  on “The pitfalls of jargon and the damage it does to mathematics” ↗
• mbeex · Apr 22, 2020 · Mentions

  …theoretical mind. On the contray, he illustrates in person the many aspects of the problem. During the fifties, he virtually vanished from public and came back years later with a Lenin prize and "The Mathematical Theory of Optimal Processes". Examples in there include 'two flying objects' and the task of an optimal solution for the problem to get them in close proximity... Obviously you don't receive a Lenin prize for pure mathematics. The…

  on “Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)” ↗
• graycat · Aug 27, 2021 · Mentions

  …Luenberger, Optimization by Vector Space Methods. which I call fun and profit from the Hahn-Banach theorem. There may be more in L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mischenko, The Mathematical Theory of Optimal Processes. and in E. B. Lee and L. Markus, Foundations of Optimal Control Theory. and in Michael Athans and Peter L. Falb, Optimal Control: An Introduction to the Theory and Its Applications. At one time I…

  on “The Mathematics of 2048: Optimal Play with Markov Decision Processes (2018)” ↗