A textbook on ordinary differential equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2015
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | UNITEXT
88 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XIV, 331 S.) |
| ISBN: | 9783319164083 |
| ISSN: | 2038-5714 |
| DOI: | 10.1007/978-3-319-16408-3 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804174858692591616 |
|---|---|
| adam_text | A TEXTBOOK ON ORDINARY DIFFERENTIAL EQUATIONS
/ AHMAD, SHAIR
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS
2 THEORY OF FIRST ORDER DIFFERENTIAL EQUATIONS
3 FIRST ORDER NONLINEAR DIFFERENTIAL EQUATIONS
4 EXISTENCE AND UNIQUENESS FOR SYSTEMS AND HIGHER ORDER EQUATIONS
5 SECOND ORDER EQUATIONS
6 HIGHER ORDER LINEAR EQUATIONS
7 SYSTEMS OF FIRST ORDER EQUATIONS
8 QUALITATIVE ANALYSIS OF 2X2 SYSTEMS AND NONLINEAR SECOND ORDER
EQUATIONS
9 STURM LIOUVILLE EIGENVALUE THEORY
10 SOLUTIONS BY INFINITE SERIES AND BESSEL FUNCTIONS
11 LAPLACE TRANSFORM
12 STABILITY THEORY
13 BOUNDARY VALUE PROBLEMS
14 APPENDIX A. NUMERICAL METHODS
15 ANSWERS TO SELECTED EXERCISES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
A TEXTBOOK ON ORDINARY DIFFERENTIAL EQUATIONS
/ AHMAD, SHAIR
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK OFFERS READERS A PRIMER ON THE THEORY AND APPLICATIONS OF
ORDINARY DIFFERENTIAL EQUATIONS. THE STYLE USED IS SIMPLE, YET THOROUGH
AND RIGOROUS. EACH CHAPTER ENDS WITH A BROAD SET OF EXERCISES THAT RANGE
FROM THE ROUTINE TO THE MORE CHALLENGING AND THOUGHT-PROVOKING.
SOLUTIONS TO SELECTED EXERCISES CAN BE FOUND AT THE END OF THE BOOK. THE
BOOK CONTAINS MANY INTERESTING EXAMPLES ON TOPICS SUCH AS ELECTRIC
CIRCUITS, THE PENDULUM EQUATION, THE LOGISTIC EQUATION, THE
LOTKA-VOLTERRA SYSTEM, THE LAPLACE TRANSFORM, ETC., WHICH INTRODUCE
STUDENTS TO A NUMBER OF INTERESTING ASPECTS OF THE THEORY AND
APPLICATIONS. THE WORK IS MAINLY INTENDED FOR STUDENTS OF MATHEMATICS,
PHYSICS, ENGINEERING, COMPUTER SCIENCE AND OTHER AREAS OF THE NATURAL
AND SOCIAL SCIENCES THAT USE ORDINARY DIFFERENTIAL EQUATIONS, AND WHO
HAVE A FIRM GRASP OF CALCULUS AND A MINIMAL UNDERSTANDING OF THE BASIC
CONCEPTS USED IN LINEAR ALGEBRA. IT ALSO STUDIES A FEW MORE ADVANCED
TOPICS, SUCH AS STABILITY THEORY AND BOUNDARY VALUE PROBLEMS, WHICH MAY
BE SUITABLE FOR MORE ADVANCED UNDERGRADUATE OR FIRST-YEAR GRADUATE
STUDENTS. THE SECOND EDITION HAS BEEN REVISED TO CORRECT MINOR ERRATA,
AND FEATURES A NUMBER OF CAREFULLY SELECTED NEW EXERCISES, TOGETHER WITH
MORE DETAILED EXPLANATIONS OF SOME OF THE TOPICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Ahmad, Shair Ambrosetti, Antonio 1944-2020 |
| author_GND | (DE-588)111667070 |
| author_facet | Ahmad, Shair Ambrosetti, Antonio 1944-2020 |
| author_role | aut aut |
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| author_variant | s a sa a a aa |
| building | Verbundindex |
| bvnumber | BV042669368 |
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| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-16408-3 |
| edition | 2. ed. |
| format | Electronic eBook |
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| spelling | Ahmad, Shair Verfasser aut A textbook on ordinary differential equations Shair Ahmad ; Antonio Ambrosetti 2. ed. Cham [u.a.] Springer 2015 1 Online-Ressource (XIV, 331 S.) txt rdacontent c rdamedia cr rdacarrier UNITEXT 88 2038-5714 Mathematics Differential Equations Numerical analysis Ordinary Differential Equations Numerical Analysis Applications of Mathematics Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Gewöhnliche Differentialgleichung (DE-588)4020929-5 s 2\p DE-604 Ambrosetti, Antonio 1944-2020 Verfasser (DE-588)111667070 aut Erscheint auch als Druckausgabe 978-3-319-16407-6 UNITEXT 88 (DE-604)BV043645010 88 https://doi.org/10.1007/978-3-319-16408-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101452&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101452&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 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 |
| spellingShingle | Ahmad, Shair Ambrosetti, Antonio 1944-2020 A textbook on ordinary differential equations UNITEXT Mathematics Differential Equations Numerical analysis Ordinary Differential Equations Numerical Analysis Applications of Mathematics Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4123623-3 |
| title | A textbook on ordinary differential equations |
| title_auth | A textbook on ordinary differential equations |
| title_exact_search | A textbook on ordinary differential equations |
| title_full | A textbook on ordinary differential equations Shair Ahmad ; Antonio Ambrosetti |
| title_fullStr | A textbook on ordinary differential equations Shair Ahmad ; Antonio Ambrosetti |
| title_full_unstemmed | A textbook on ordinary differential equations Shair Ahmad ; Antonio Ambrosetti |
| title_short | A textbook on ordinary differential equations |
| title_sort | a textbook on ordinary differential equations |
| topic | Mathematics Differential Equations Numerical analysis Ordinary Differential Equations Numerical Analysis Applications of Mathematics Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Mathematics Differential Equations Numerical analysis Ordinary Differential Equations Numerical Analysis Applications of Mathematics Mathematik Gewöhnliche Differentialgleichung Lehrbuch |
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