An authoritative text on the calculus of variations for first-year graduate students. From a study of the simplest problem it goes on to cover Lagrangian derivatives, Jacobi’s condition, and field theory. Devotes considerable attention to direct methods and the Sturm-Liouville problem in a finite interval. Contains numerous interesting and challenging exercises plus five appendices on important results, generalizations, and applications of the material,
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First Sentence:
1. The calculus of variations arose from problems that can be described as follows: given an expression (usually a definite integral) that contains an unknown function and some of its derivatives, find the function for which the given expression takes an extreme (i.e., maximum or minimum) value. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
1. The calculus of variations arose from problems that can be described as follows: given an expression (usually a definite integral) that contains an unknown function and some of its derivatives, find the function for which the given expression takes an extreme (i.e., maximum or minimum) value. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 8
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23
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cite this book:
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- Course in Mathematical Analysis: Derivatives and Differentials v. 1 by E. Goursat on page 92, and page 143
- Calculus of Variations (Carus Monograph) by Gilbert Ames Bliss on page 87
- The Variational Principles of Mechanics (Dover Books on Physics) by Cornelius Lanczos on page 52
- Some Applications of Functional Analysis in Mathematical Physics (Translations of Mathematical Monographs) by S. L. Sobolev in Back Matter
- Mathematical Methods (School Mathematics Project 16-19) by School Mathematics Project on page 127
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- Variational Principles and Methods in Theoretical Physics and Chemistry by Robert K. Nesbet on page 2, and page 204
- Mathematical Methods in Science and Engineering by S. Selcuk Bayin in Back Matter
- Entropy and Information Optics (Optical Science and Engineering) by Francis T.S. Yu on page 93
- Calculus of Variations and Partial Differential Equations of First Order by Constantin Caratheodory in Back Matter
- A Finite Unified Quantum Field Theory of the Elementary Particle Standard Model and Quantum Gravity Based on New Quantum Dimensions & a New Paradigm in the Calculus of Variations by Stephen Blaha in Back Matter
See all 23 books citing this book
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