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Krasnov, Makarenko, Kiselev - Problems and Exercises in the Calculus of Variations

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Krasnov, Makarenko, Kiselev - Problems and Exercises in the Calculus of Variations

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Name:Krasnov, Makarenko, Kiselev - Problems and Exercises in the Calculus of Variations

Infohash: 3EBF2156A995F6256564417B813C4802A7B425F1

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Last Updated: 2024-05-21 07:48:54 (Update Now)

Torrent added: 2012-12-24 05:20:45






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Krasnov-Makarenko-Kiselev_Problems_and_Exercises_in_the_Calculus_of_Variations.djvu (Size: 3.10 MB) (Files: 1)

 Krasnov-Makarenko-Kiselev_Problems_and_Exercises_in_the_Calculus_of_Variations.djvu

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In this post we will see Problems and Exercises in the Calculus of Variations by M. L. Krasnov, G. I. Makarenko, A. I. Kiselev . The calculus of variations is one of the most important divisions of classical mathematical analysis as regards applications.The authors aim was to supply the reader with a certain minimum of problems covering the basic divisions of the classical calculus of variations, and they deliberately avoided questions pertaining to the theory of optimal control. This book was translated from the Russian by George Yankovsky. The book was published by first Mir Publishers in 1975. All credits to the original uploader. DJVU | 3.1 MB | Pages: 221 | Bookmarked | OCR ====================================== =++++++++++++++++++++++++++++++++++++= =+ += =+ Released on TPB by mirtitles.org += =+ += =++++++++++++++++++++++++++++++++++++= ====================================== Table of Contents CONTENTS Introduction 6 Preliminary Remarks 7 CHAPTER I. THE EXTREMUM OF A FUNCTION OF MANY VARIABLES 1. Absolute Extremum 9 2. Conditional Extremum 19 CHAPTER II. EXTREMA OF FUNCTIONALS 3. The Functional. The Variation of a Functional and Its Properties 27 4. An Elementary Problem in the Calculus of Variations. Eulers Equation 54 5. Generalizations of the Elementary Problem of the Calculus of Variations 75 6. Invariance of Eulers Equation 85 7. Field of Extremals 88 8. Sufficient Conditions for the Extremum of a Functional 102 9. Conditional Extremum 118 10. Moving Boundary Problems 137 11. Discontinuous Problems. One-Sided Variations 151 12. The Hamilton-Jacobi Theory. The Variational Principles of Mechanics CHAPTER III. DIRECT METHODS IN THE CALCULUS OF VARIATIONS 13. Eulers Finite-Difference Method 177 14. Ritz Method. Kantorovich Method 179 15. Variational Methods for Finding Eigenvalues and Eigenfunctions 188 ANSWERS AND HINTS 202 BIBLIOGRAPHY 215 INDEX 217-------------------------------------Torrent downloaded from http://thepiratebay.se

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