This is a book for those who want to understand the main ideas in the theory of optimal problems. It provides a good introduction to classical topics (under the heading of "the calculus of variations") and more modern topics (under the heading of "optimal control"). It employs the language and terminology of functional analysis to discuss and justify the setup of problems that are of great importance in applications. The book is concise and self-contained, and should be suitable for readers with a standard undergraduate background in engineering mathematics.

Contents:

• Basic Calculus of Variations
• Elements of Optimal Control Theory
• Functional Analysis
• Some Applications in Mechanics

"I recommend this book to all engineers who are interested in modern mathematics. Moreover, mathematicians can learn a lot about direct applications of mathematical theory in mechanics."

"The present book is lucid, well-connected, and concise. The material has been carefully chosen. Throughout the book, the authors lay stress on central ideas as they present one powerful mathematical tool after another. The reader is thus prepared not only to apply the material to his or her own work, but also to delve further into the literature if desired."

“This book is a significant contribution to the process of successful preparation of engineering students. It is also a good methodical foundation for engineers and lecturers in their work.”

“This book is a welcome addition to the literature on applications of optimal control to various fields in engineering such as mechanics. It is well-written with exercises at the end of each chapter including the hints for the exercises.”