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Introduction to the operational calculus.
Introduction to the Operational Calculus is a translation of "Einfuhrung in die Operatorenrechnung, Second Edition."
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Alemán |
| Publicado: |
Amsterdam, New York,
North-Holland Pub. Co.; J. Wiley,
1967.
|
| Colección: | North-Holland series in applied mathematics and mechanics ;
v. 2. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
MARC
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| 100 | 1 | |a Berg, Lothar. | |
| 240 | 1 | 0 | |a Einf�uhrung in die Operatorenrechnung. |l English |
| 245 | 1 | 0 | |a Introduction to the operational calculus. |
| 260 | |a Amsterdam, |b North-Holland Pub. Co.; |a New York, |b J. Wiley, |c 1967. | ||
| 300 | |a 1 online resource (x, 294 pages) | ||
| 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 North-Holland series on applied mathematics and mechanics, |v v. 2 | |
| 500 | |a Translation of: Einf�uhrung in die Operatorenrechnung. | ||
| 504 | |a Includes bibliographical references (pages 283-289). | ||
| 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 | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Introduction to the Operational Calculus is a translation of "Einfuhrung in die Operatorenrechnung, Second Edition." | ||
| 505 | 0 | |a Front Cover; Introduction to the Operational Calculus; Copyright Page; FOREWORD TO THE FIRST EDITION; FOREWORD TO THE SECOND EDITION; FOREWORD TO THE ENGLISH EDITION; Table of Contents; INTRODUCTION; 1. General survey; 2. The Heaviside method; 3. A rigorous approach; 4. Derivation of an integral transformation; 5. Numerical evaluations; 6. Improved approximations; CHAPTER I. ALGEBRAIC FOUNDATIONS; 1. Rings and domains of integrity; 2. Fields; 3. Polynomial rings; 4. Rational functions; 5. Isomorphisms and extensions; 6. Ideals and residue class rings | |
| 505 | 8 | |a CHAPTER II. FUNCTIONS OF A DISCRETE VARIABLE7. The function ring; 8. Quotient fields; 9. Linear difference equations; 10. Passage to the limit; 11. The operator q as complex variable; 12. Applications; CHAPTER III. FUNCTIONS OF A CONTINUOUS VARIABLE; 13. The Duhamel product; 14. Function powers of t; 15. Comparison between function and value products; 16. Titchmarsh's theorem; 17. The field of operators; 18. Rational operators in p; CHAPTER IV. APPLICATIONS; 19. Differential equations with constant coefficients; 20. Examples; 21. Systems of differential equations; 22. Degenerate systems | |
| 505 | 8 | |a 23. Control engineering24. Integral equations; CHAPTER V. CONVERGENT SEQUENCES OF OPERATORS; 25. The concept of convergence; 26. Infinite series; 27. Discontinuous functions; 28. The displacement operator; 29. Step functions; 30. The delta operator; CHAPTER VI. THE LAPLACE TRANSFORMATION; 31. The operatorp as complex variable; 32. Properties; 33. Examples; 34. Inverse transformations; 35. The complex inversion formula; 36. Fourier's integral theorem; CHAPTER VII. APPLICATIONS; 37. The method of residues; 38. Series expansions; 39. Differential equations with polynomial coefficients | |
| 505 | 8 | |a 40. Partial differential equations41. Difference equations in the image domain; 42. Integral equations; CHAPTER VIII. ASYMPTOTIC PROPERTIES; 43. Definitions; 44. Abelian theorems; 45. Further types of singularity; 46. Tauberian theorems; 47. Problems of stability; 48. Euler's summation formula; CHAPTER IX. GENERALIZATIONS; 49. Asymptotic series; 50. Asymptotic integrals; 51. The general operational calculus; 52. Partial differential equations; 53. Differential-difference equations; 54. The finite part of an integral; CHAPTER X. FURTHER OPERATIONAL METHODS | |
| 505 | 8 | |a 55. The finite Laplace transformation56. Boundary value problems; 57. Functions of two variables; 58. Partial differential equations; 59. Groups; 60. Differential equations with variable coefficients; APPENDIX; ANSWERS TO EXERCISES; REFERENCES; A. Text-books and monographs; B. Original papers; Formulae; Subject index | |
| 546 | |a English. | ||
| 650 | 0 | |a Calculus, Operational. | |
| 650 | 6 | |a Calcul symbolique. |0 (CaQQLa)201-0003666 | |
| 650 | 7 | |a Calculus, Operational |2 fast |0 (OCoLC)fst00844146 | |
| 776 | 0 | 8 | |i Print version: |a Berg, Lothar. |s Einf�uhrung in die Operatorenrechnung. English. |t Introduction to the operational calculus. |d Amsterdam, North-Holland Pub. Co.; New York, J. Wiley, 1967 |w (DLC) 67092332 |w (OCoLC)563154 |
| 830 | 0 | |a North-Holland series in applied mathematics and mechanics ; |v v. 2. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780123957610 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/01675931/2 |z Texto completo |