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Ordinary differential equations /
Ordinary Differential Equations presents the study of the system of ordinary differential equations and its applications to engineering. <br>The book is designed to serve as a first course in differential equations. Importance is given to the linear equation with constant coefficients; stabili...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Reading, Massachusetts : London :
Addison-Wesley Publishing Company, Inc. ; Pergamon Press,
1962.
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| Colección: | Adiwes international series in mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
| 005 | 20231117032949.0 | ||
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| 020 | |a 9780080096995 | ||
| 020 | |a 0080096999 | ||
| 035 | |a (OCoLC)898771773 |z (OCoLC)301018800 |z (OCoLC)567964961 |z (OCoLC)1150972258 | ||
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| 100 | 1 | |a Pontr�i�agin, L. S. |q (Lev Semenovich), |d 1908-1988, |e author. | |
| 245 | 1 | 0 | |a Ordinary differential equations / |c by L.S. Pontryagin ; translated form the Russian by Leonas Kacinskas and Walter B. Counts. |
| 264 | 1 | |a Reading, Massachusetts : |b Addison-Wesley Publishing Company, Inc. ; |a London : |b Pergamon Press, |c 1962. | |
| 300 | |a 1 online resource : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Adiwes international series in mathematics | |
| 500 | |a Includes index. | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed January 22, 2015). | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 0 | |a Front Cover; Ordinary Differential Equations; Copyright Page; PREFACE; FOREWORD; Table of Contents; CHAPTER 1. INTRODUCTION; 1. First-order differential equations.; 2. Some elementary integration methods.; 3. Formulation of the existence and uniqueness theorem.; 4. Reduction of a general system of differential equations to a normal system.; 5. Complex differential equations.; 6. Some properties of linear differential equations.; CHAPTER 2. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS; 7. The linear homogeneous equation with constant coefficients. Case of simple roots. | |
| 505 | 8 | |a 8. The linear homogeneous equation with constant coefficients. Case of multiple roots.9. Stable polynomials.; 10. The linear nonhomogeneous equation with constant coefficients.; 11. Method of elimination.; 12. The method of complex amplitudes.; 13. Electrical circuits.; 14. The normal linear homogeneous system with constant coefficients.; 15. Autonomous systems of differential equations and their phase spaces.; 16. The phase plane of a linear homogeneous system with Constant coefficient.; CHAPTER 3. LINEAR EQUATIONS WITH VARIABLE COEFFICIENTS; 17. The normal system of linear equations. | |
| 505 | 8 | |a 18. The linear equation of nth order.19. The normal linear homogeneous system with periodic coefficients.; CHAPTER 4. EXISTENCE THEOREMS; 20. Proof of the existence and uniqueness theorem for one equation.; 21. Proof of the existence and uniqueness theorem for a normal system of equations.; 22. Local theorems of continuity and differentiability of solutions.; 23. First integrals.; 24. Behavior of the trajectories on large time intervals.; 25. Global theorems of continuity and differentiability.; CHAPTER 5. STABILITY; 26. Lyapunov's theorem. | |
| 505 | 8 | |a 27. The centrifugal governor and the analysis of Vyshnegradskiy.28. Limit cycles.; 29. The vacuum-tube oscillator.; 30. The states of equilibrium of a second-order autonomous system.; 31. Stability of periodic solutions.; CHAPTER 6. LINEAR ALGEBRA; 32. The minimal annihilating polynomial.; 33. Matrix functions.; 34. The Jordan form of a matrix.; INDEX | |
| 520 | |a Ordinary Differential Equations presents the study of the system of ordinary differential equations and its applications to engineering. <br>The book is designed to serve as a first course in differential equations. Importance is given to the linear equation with constant coefficients; stability theory; use of matrices and linear algebra; and the introduction to the Lyapunov theory. Engineering problems such as the Watt regulator for a steam engine and the vacuum-tube circuit are also presented. <br>Engineers, mathematicians, and engineering students will find the book invaluable. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 6 | |a �Equations diff�erentielles. |0 (CaQQLa)201-0003667 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential equations |2 fast |0 (OCoLC)fst00893446 | |
| 700 | 1 | |a Lohwater, Kacinskas, |e translator. | |
| 700 | 1 | |a Counts, Walter B., |e translator. | |
| 776 | 0 | 8 | |i Print version: |a Pontryagin, L.S. |t Ordinary Differential Equations : Adiwes International Series in Mathematics. |d Burlington : Elsevier Science, �2014 |z 9780080096995 |
| 830 | 0 | |a Adiwes international series in mathematics. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780080096995 |z Texto completo |