Optimal Control And The Calculus Of Variations

Optimal Control And The Calculus Of Variations

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Optimal Control Is A Modern Development Of The Calculus Of Variations And Classical Optimization Theory. For That Reason, This Introduction To The Theory Of Optimal Control Starts By Considering The Problem Of Minimizing A Function Of Many Variables. It Moves Through An Exposition Of The Calculus Of Variations, To The Optimal Control Of Systems Governed By Ordinary Differential Equations. This Approach Should Enable Students To See The Essential Unity Of Important Areas Of Mathematics, And Also Allow Optimal Control And The Pontryagin Maximum Principle To Be Placed In A Proper Context. A Good Knowledge Of Analysis, Algebra, And Methods Is Assumed. All The Theorems Are Carefully Proved, And There Are Many Worked Examples And Exercises. Although This Book Is Written For The Advanced Undergraduate Mathematician, Engineers And Scientists Who Regularly Rely On Mathematics Will Also Find It A Useful Text.

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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).

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Frequently Asked Questions

  • Q: What topics does 'Optimal Control and the Calculus of Variations' cover? A: This book covers optimal control theory, calculus of variations, classical optimization, and the Pontryagin maximum principle, providing a comprehensive introduction to minimizing functions of many variables.
  • Q: Who is the author of this book? A: The author of 'Optimal Control and the Calculus of Variations' is Enid R. Pinch.
  • Q: What is the intended audience for this book? A: The book is aimed at advanced undergraduate mathematicians, but it is also valuable for engineers and scientists who use mathematics in their fields.
  • Q: What is the format of the book? A: The book is available in paperback format, making it accessible for readers who prefer physical copies.
  • Q: How many pages does this book have? A: The book consists of 242 pages, offering a detailed exploration of its topics.
  • Q: When was this book published? A: It was published on October 19, 1995.
  • Q: Does the book include exercises or examples? A: Yes, the book contains many worked examples and exercises to help reinforce the concepts presented.
  • Q: What prior knowledge is assumed for readers? A: A good knowledge of analysis, algebra, and methods is assumed for readers to fully grasp the material.
  • Q: Is this book suitable for self-study? A: Yes, it is suitable for self-study, especially for those with a strong foundation in mathematics.
  • Q: What is the condition of the book? A: The book is in new condition, ensuring it is free from wear or damage.