Operational calculus:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Pergamon Pr.
1967
|
| Ausgabe: | Repr. |
| Schriftenreihe: | International series of monographs in pure and applied mathematics.
Vol. 8. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Text engl. |
| Beschreibung: | 500 S. |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804119870600642560 |
|---|---|
| adam_text | CONTENTS
Foreword 5
PART I OPERATIONAL ALGEBRA
Chapter I. The concept and properties of a convolution of continuous functions 7
Chapter II. Theorem of Titchmarsh 15
Chapter III. Operators 24
Chapter IV. Ordinary differential equations with constant coefficients 41
Chapter V. Theory of electric circuit 47
Chapter VI. General solutions of differential equations and boundary problems 99
Chapter VII. Discontinuous functions 106
Chapter VIII. Applications to the statics of beams 127
PART II SEQUENCES AND SERIES OF OPERATORS
Chapter I. Sequences of operators 141
Chapter II. Series of translation operators 149
Chapter III. Difference equations 158
Chapter IV. Power series 166
PART in THE OPERATIONAL DIFFERENTIAL CALCULUS
Chapter I. Operational functions and their derivatives 179
Chapter II. Exponential functions 191
Chapter III. Differential equation x (X) = wx(X) 197
Chapter IV. Vibrations of a string 201
Chapter V. The equation of heat 219
Chapter VI. The equation of telegraphy 253
Chapter VII. The algebraic derivative 261
PART IV AN OUTLINE OF THE GENERAL THEORY OF LINEAR
DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
Chapter I. Homogeneous equations 266
Chapter II. Non homogeneous equations 283
Chapter IP. Applications to partial differential equations 291
PART V INTEGRAL OPERATIONAL CALCULUS
Chapter I. The integral of an operational function and its applications 320
Chapter II. Integral transformations 337
4 Contents
PART VI APPENDIX
Chapter I. Definition of operators in terms of abstract algebra 342
Chapter II. Locally integrable functions 345
Chapter III. Distributions 350
Chapter IV. Abstract spaces with convergence 358
Chapter V. Power series of operators 369
Chapter VI. Laplace transform 377
Chapter VII. A class of Dirichlet series 385
Chapter VIII. The exponential function exp(— Xa) 399
Chapter IX. General theory of linear differential equations with operational coefficients 417
Chapter X. A class of operational polynomials 429
Chapter XI. A class of differential equations 439
Chapter XII. A homogeneous problem in partial equations 445
PART VII FORMULAE AND TABLES
I. Special functions 454
II. Formulas of the operational calculus 455
III. Electrotechnical applications 459
IV. Tables of functions 461
Appendix. Another proof of Titchmarsh theorem 464
Answers to Problems 486
Bibliography 484
Index 487
Index to Sections 489
Other titles in the series in Pure and Applied Mathematics 498
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| any_adam_object | 1 |
| author | Mikusiński, Jan 1913-1987 |
| author_GND | (DE-588)1035621681 |
| author_facet | Mikusiński, Jan 1913-1987 |
| author_role | aut |
| author_sort | Mikusiński, Jan 1913-1987 |
| author_variant | j m jm |
| building | Verbundindex |
| bvnumber | BV005681034 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)256610559 (DE-599)BVBBV005681034 |
| discipline | Mathematik |
| edition | Repr. |
| format | Book |
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| id | DE-604.BV005681034 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:04Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003548742 |
| oclc_num | 256610559 |
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| owner_facet | DE-703 DE-355 DE-BY-UBR DE-29T |
| physical | 500 S. |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Pergamon Pr. |
| record_format | marc |
| series | International series of monographs in pure and applied mathematics. |
| series2 | International series of monographs in pure and applied mathematics. |
| spelling | Mikusiński, Jan 1913-1987 Verfasser (DE-588)1035621681 aut Operational calculus Repr. Oxford Pergamon Pr. 1967 500 S. txt rdacontent n rdamedia nc rdacarrier International series of monographs in pure and applied mathematics. Vol. 8. Text engl. Operatortheorie (DE-588)4075665-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Heaviside-Kalkül (DE-588)4159324-8 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Heaviside-Kalkül (DE-588)4159324-8 s DE-604 Funktionalanalysis (DE-588)4018916-8 s Operatortheorie (DE-588)4075665-8 s Operator (DE-588)4130529-2 s 1\p DE-604 International series of monographs in pure and applied mathematics. Vol. 8. (DE-604)BV001888024 8 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003548742&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mikusiński, Jan 1913-1987 Operational calculus International series of monographs in pure and applied mathematics. Operatortheorie (DE-588)4075665-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Heaviside-Kalkül (DE-588)4159324-8 gnd Operator (DE-588)4130529-2 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4018916-8 (DE-588)4159324-8 (DE-588)4130529-2 |
| title | Operational calculus |
| title_auth | Operational calculus |
| title_exact_search | Operational calculus |
| title_full | Operational calculus |
| title_fullStr | Operational calculus |
| title_full_unstemmed | Operational calculus |
| title_short | Operational calculus |
| title_sort | operational calculus |
| topic | Operatortheorie (DE-588)4075665-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Heaviside-Kalkül (DE-588)4159324-8 gnd Operator (DE-588)4130529-2 gnd |
| topic_facet | Operatortheorie Funktionalanalysis Heaviside-Kalkül Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003548742&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001888024 |
| work_keys_str_mv | AT mikusinskijan operationalcalculus |