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Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction

About this Title

Mark Levi, Pennsylvania State University, University Park, PA

Publication: The Student Mathematical Library
Publication Year 2014: Volume 69
ISBNs: 978-0-8218-9138-4 (print); 978-1-4704-1444-3 (online)
MathSciNet review: MR3156230
MSC: Primary 70-01; Secondary 49-01, 70Bxx, 70G75, 70M20, 70Q05

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Table of Contents


  • Chapter 1. One degree of freedom
  • Chapter 2. More degrees of freedom
  • Chapter 3. Rigid body motion
  • Chapter 4. Variational principles of mechanics
  • Chapter 5. Classical problems of calculus of variations
  • Chapter 6. The conditions of Legendre and Jacobi for a minimum
  • Chapter 7. Optimal control
  • Chapter 8. Heuristic foundations of Hamiltonian mechanics