Calculus Of Variations: With Applications To Physics And Engineering

Calculus Of Variations: With Applications To Physics And Engineering

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This book by Robert Weinstock was written to fill the need for a basic introduction to the calculus of variations. Simply and easily written, with an emphasis on the applications of this calculus, it has long been a standard reference of physicists, engineers, and applied mathematicians. The author begins slowly, introducing the reader to the calculus of variations, and supplying lists of essential formulae and derivations. Later chapters cover isoperimetric problems, geometrical optics, Fermat's principle, dynamics of particles, the SturmLiouville eigenvalueeigenfunction problem, the theory of elasticity, quantum mechanics, and electrostatics. Each chapter ends with a series of exercises which should prove very useful in determining whether the material in that chapter has been thoroughly grasped.The clarity of exposition makes this book easily accessible to anyone who has mastered firstyear calculus with some exposure to ordinary differential equations. Physicists and engineers who find variational methods evasive at times will find this book particularly helpful.'I regard this as a very useful book which I shall refer to frequently in the future.' J. L. Synge, Bulletin of the American Mathematical Society.

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Frequently Asked Questions

  • Q: What topics are covered in 'Calculus of Variations: with Applications to Physics and Engineering'? A: This book covers various topics including isoperimetric problems, geometrical optics, Fermat's principle, dynamics of particles, the Sturm-Liouville eigenvalue-eigenfunction problem, theory of elasticity, quantum mechanics, and electrostatics.
  • Q: Who is the author of this book? A: The author of 'Calculus of Variations: with Applications to Physics and Engineering' is Robert Weinstock.
  • Q: What is the publication date of this book? A: The book was published on June 1, 1974.
  • Q: What is the condition of this book? A: The book is in new condition.
  • Q: What is the page count of this book? A: The book contains 352 pages.
  • Q: Is this book suitable for beginners? A: Yes, the book is designed to be accessible to anyone who has mastered first-year calculus and has some exposure to ordinary differential equations.
  • Q: What type of binding does this book have? A: This book is available in paperback binding.
  • Q: Are there exercises included in the book? A: Yes, each chapter concludes with a series of exercises to help reinforce the material.
  • Q: What is the edition of this book? A: This is the revised edition of the book.
  • Q: What makes this book a standard reference? A: The clarity of exposition and the emphasis on applications make this book a standard reference for physicists, engineers, and applied mathematicians.