Generalized analytic functions:
Generalized Analytic Functions is concerned with foundations of the general theory of generalized analytic functions and some applications to problems of differential geometry and theory of shells. Some classes of functions and operators are discussed, along with the reduction of a positive differen...
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| Main Author: | |
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| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Mansfield Centre, CT
Martino Publishing
2014
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| Subjects: | |
| Summary: | Generalized Analytic Functions is concerned with foundations of the general theory of generalized analytic functions and some applications to problems of differential geometry and theory of shells. Some classes of functions and operators are discussed, along with the reduction of a positive differential quadratic form to the canonical form. Boundary value problems and infinitesimal bendings of surfaces are also considered.Comprised of six chapters, this volume begins with a detailed treatment of various problems of the general theory of generalized analytic functions as as well as boundary value problems. The reader is introduced to some classes of functions and functional spaces, with emphasis on functions of two independent variables. Subsequent chapters focus on the problem of reducing a positive differential quadratic form to the canonical form; basic properties of solutions of elliptic systems of partial differential equations of the first order, in a two-dimensional domain; and some boundary value problems for an elliptic system of equations of the first order and for an elliptic equation of the second order, in a two-dimensional domain. The final part of the book deals with problems of the theory of surfaces and the membrane theory of shells.This book is intended for students of advanced courses of the mechanico-mathematical faculties, postgraduates, and research workers |
| Physical Description: | xxix, 668 Seiten Illustrationen, Diagramme |
| ISBN: | 9781614276111 |
Staff View
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| 245 | 1 | 0 | |a Generalized analytic functions |c by I. N. Vekua ; English translation editor Ian N. Sneddon (Simson Professor of Mathematics in the University of Glasgow) |
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| 520 | |a Generalized Analytic Functions is concerned with foundations of the general theory of generalized analytic functions and some applications to problems of differential geometry and theory of shells. Some classes of functions and operators are discussed, along with the reduction of a positive differential quadratic form to the canonical form. Boundary value problems and infinitesimal bendings of surfaces are also considered.Comprised of six chapters, this volume begins with a detailed treatment of various problems of the general theory of generalized analytic functions as as well as boundary value problems. The reader is introduced to some classes of functions and functional spaces, with emphasis on functions of two independent variables. Subsequent chapters focus on the problem of reducing a positive differential quadratic form to the canonical form; basic properties of solutions of elliptic systems of partial differential equations of the first order, in a two-dimensional domain; and some boundary value problems for an elliptic system of equations of the first order and for an elliptic equation of the second order, in a two-dimensional domain. The final part of the book deals with problems of the theory of surfaces and the membrane theory of shells.This book is intended for students of advanced courses of the mechanico-mathematical faculties, postgraduates, and research workers | ||
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Record in the Search Index
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| any_adam_object | |
| author | Vekua, Ilʹja Nestorovič 1907-1977 |
| author2 | Sneddon, Ian Naismith 1919-2000 Sneddon, Ian Naismith 1919-2000 |
| author2_role | trl edt |
| author2_variant | i n s in ins i n s in ins |
| author_GND | (DE-588)172432146 (DE-588)121675343 |
| author_facet | Vekua, Ilʹja Nestorovič 1907-1977 Sneddon, Ian Naismith 1919-2000 Sneddon, Ian Naismith 1919-2000 |
| author_role | aut |
| author_sort | Vekua, Ilʹja Nestorovič 1907-1977 |
| author_variant | i n v in inv |
| building | Verbundindex |
| bvnumber | BV045003038 |
| classification_rvk | SK 370 |
| ctrlnum | (OCoLC)1040622271 (DE-599)BVBBV045003038 |
| dewey-full | 515.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.9 |
| dewey-search | 515.9 |
| dewey-sort | 3515.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV045003038 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:06:41Z |
| institution | BVB |
| isbn | 9781614276111 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030395147 |
| oclc_num | 1040622271 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | xxix, 668 Seiten Illustrationen, Diagramme |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Martino Publishing |
| record_format | marc |
| spelling | Vekua, Ilʹja Nestorovič 1907-1977 Verfasser (DE-588)172432146 aut Generalized analytic functions by I. N. Vekua ; English translation editor Ian N. Sneddon (Simson Professor of Mathematics in the University of Glasgow) Mansfield Centre, CT Martino Publishing 2014 xxix, 668 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Generalized Analytic Functions is concerned with foundations of the general theory of generalized analytic functions and some applications to problems of differential geometry and theory of shells. Some classes of functions and operators are discussed, along with the reduction of a positive differential quadratic form to the canonical form. Boundary value problems and infinitesimal bendings of surfaces are also considered.Comprised of six chapters, this volume begins with a detailed treatment of various problems of the general theory of generalized analytic functions as as well as boundary value problems. The reader is introduced to some classes of functions and functional spaces, with emphasis on functions of two independent variables. Subsequent chapters focus on the problem of reducing a positive differential quadratic form to the canonical form; basic properties of solutions of elliptic systems of partial differential equations of the first order, in a two-dimensional domain; and some boundary value problems for an elliptic system of equations of the first order and for an elliptic equation of the second order, in a two-dimensional domain. The final part of the book deals with problems of the theory of surfaces and the membrane theory of shells.This book is intended for students of advanced courses of the mechanico-mathematical faculties, postgraduates, and research workers 1962 Analytic functions Verallgemeinerte analytische Funktion (DE-588)4194038-6 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Distribution Funktionalanalysis (DE-588)4070505-5 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 s DE-604 Funktionentheorie (DE-588)4018935-1 s 1\p DE-604 Distribution Funktionalanalysis (DE-588)4070505-5 s 2\p DE-604 Verallgemeinerte analytische Funktion (DE-588)4194038-6 s 3\p DE-604 Sneddon, Ian Naismith 1919-2000 (DE-588)121675343 trl edt Faksimile von Generalized analytic functions First published in English 1962 Massachusetts, Pergamon Press Ltd., 1962 International series in pure and applied mathematics Übersetzung von: Obobshchennyye analiticheskiye funktsii ; published by Fitzmatgiz, Moscow, 1959 (DE-604)BV017400246 Erscheint auch als Online-Ausgabe 978-1-4831-8467-8 London, Elsevier Science, 2014 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vekua, Ilʹja Nestorovič 1907-1977 Generalized analytic functions Analytic functions Verallgemeinerte analytische Funktion (DE-588)4194038-6 gnd Funktionentheorie (DE-588)4018935-1 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| subject_GND | (DE-588)4194038-6 (DE-588)4018935-1 (DE-588)4070505-5 (DE-588)4142348-3 |
| title | Generalized analytic functions |
| title_auth | Generalized analytic functions |
| title_exact_search | Generalized analytic functions |
| title_full | Generalized analytic functions by I. N. Vekua ; English translation editor Ian N. Sneddon (Simson Professor of Mathematics in the University of Glasgow) |
| title_fullStr | Generalized analytic functions by I. N. Vekua ; English translation editor Ian N. Sneddon (Simson Professor of Mathematics in the University of Glasgow) |
| title_full_unstemmed | Generalized analytic functions by I. N. Vekua ; English translation editor Ian N. Sneddon (Simson Professor of Mathematics in the University of Glasgow) |
| title_short | Generalized analytic functions |
| title_sort | generalized analytic functions |
| topic | Analytic functions Verallgemeinerte analytische Funktion (DE-588)4194038-6 gnd Funktionentheorie (DE-588)4018935-1 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| topic_facet | Analytic functions Verallgemeinerte analytische Funktion Funktionentheorie Distribution Funktionalanalysis Analytische Funktion |
| work_keys_str_mv | AT vekuailʹjanestorovic generalizedanalyticfunctions AT sneddoniannaismith generalizedanalyticfunctions |