Verfügbarkeit: Differential equations

Differential equations: an introduction with Mathematica

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Bibliographische Detailangaben
1. Verfasser:	Ross, Clay C. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York u.a. Springer 1995
Schriftenreihe:	Textbooks in mathematical sciences
Schlagworte:	Mathematica (Computer file) Differentiaalvergelijkingen Mathematica (computerprogramma) Differential equations Mathematica > Programm Differentialgleichung Einführung Aufgabensammlung
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Literaturverz. S. 491 - 493
Beschreibung:	XIII, 503 S. graph. Darst.
ISBN:	3540943013 0387943013

Internformat

MARC


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Datensatz im Suchindex

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adam_text	DIFFERENTIAL EQUATIONS AN INTRODUCTION WITH MATHEMATICA CLAY C. ROSS THE UNIVERSITY OF THE SOUTH SPRINGER-VERLAG NEW YORK BERLIN HEIDELBERG LONDON PARIS TOKYO HONG KONG BARCELONA BUDAPEST CONTENTS PREFACE VI I 1 ABOU T DIFFERENTIAL EQUATION S AND LINEAR ALGEBR A 1 1.0 INTRODUCTION 1 1.1 SOME LINEAR ALGEBRA 9 1.2 DIFFERENTIAL EQUATIONS FROM SOLUTIONS 14 1.3 NUMERICAL METHODS 19 1.4 UNIQUENESS CONSIDERATIONS 29 1.5 DIFFERENTIAL INCLUSIONS (OPTIONAL) 33 2 FIRST-ORDER DIFFERENTIAL EQUATION S 37 2.0 INTRODUCTION 37 2.1 FIRST-ORDER LINEAR DIFFERENTIAL EQUATIONS 37 2.2 LINEAR EQUATIONS BY MATHEMATICA 43 2.3 EXACT EQUATIONS 46 2.4 VARIABLES SEPARABLE 56 2.5 HOMOGENEOUS NONLINEAR DIFFERENTIAL EQUATIONS 62 2.6 BERNOULLI AND RICCATI DIFFERENTIAL EQUATIONS (OPTIONAL) 67 2.7 CLAIRAUT DIFFERENTIAL EQUATIONS (OPTIONAL) 75 3 APPLICATION S OF FIRST-ORDE R EQUATION S 79 3.0 INTRODUCTION 79 3.1 ORTHOGONAL TRAJECTORIES 80 3.2 LINEAR APPLICATIONS 84 3.3 NONLINEAR APPLICATIONS 107 4 HIGHER-ORDER LINEAR DIFFERENTIAL EQUATION S 119 4.0 INTRODUCTION 119 4.1 THE FUNDAMENTAL THEOREM 120 4.2 MORE LINEAR ALGEBRA 129 XII ! CONTENTS 4. 3 HOMOGENEOU S SECOND-ORDE R LINEA R CONSTAN T COEFFICIENT S ... . 14 3 4. 4 HIGHER-ORDE R CONSTAN T COEFFICIENT S (HOMOGENEOUS ) 15 8 4. 5 TH E METHO D OF UNDETERMINE D COEFFICIENT S 16 9 4. 6 VARIATIO N OF PARAMETER S 18 1 APPLICATION S OF SECOND-ORDER EQUATIONS 189 5.0 INTRODUCTION 189 5.1 SIMPLE HARMONIC MOTION 190 5.2 DAMPED HARMONIC MOTION 200 5.3 FORCED OSCILLATION 208 5.4 SIMPLE ELECTRONIC CIRCUITS 214 5.5 TWO NONLINEAR EXAMPLES (OPTIONAL) 219 TH E LAPLACE TRANSFORM 22 3 6.0 INTRODUCTION 223 6.1 THE LAPLACE TRANSFORM 224 6.2 PROPERTIES OF THE LAPLACE TRANSFORM 228 6.3 THE INVERSE LAPLACE TRANSFORM 240 6.4 DISCONTINOUS FUNCTIONS AND THEIR TRANSFORMS 246 HIGHER-ORDE R DIFFERENTIA L EQUATION S WIT H VARIABL E COEFFICIENT S 25 9 7.0 INTRODUCTIO N 25 9 7.1 CAUCHY-EULE R DIFFERENTIA L EQUATION S 260 7.2 OBTAININ G A SECON D SOLUTIO N 272 7.3 SUMS , PRODUCTS , AN D RECURSIO N RELATION S 27 4 7.4 SERIE S SOLUTION S OF DIFFERENTIA L EQUATION S 28 4 7.5 SERIE S SOLUTION S ABOU T ORDINAR Y POINT S 29 1 7.6 SERIE S SOLUTIO N ABOU T REGULA R SINGULA R POINT S .... : 300 7.7 IMPORTAN T CLASSICA L DIFFERENTIA L EQUATION S AN D FUNCTION S ... . 31 8 DIFFERENTIAL SYSTEM S WIT H CONSTAN T COEFFICIENTS 32 3 8.0 INTRODUCTION 323 8.1 REDUCTION TO FIRST-ORDER SYSTEMS 329 8.2 THEORY OF FIRST-ORDER SYSTEMS 336 8.3 FIRST-ORDER CONSTANT COEFFICIENTS SYSTEMS 344 8.4 REPEATED AND COMPLEX ROOTS 364 8.5 NONHOMOGENEOUS EQUATIONS AND BOUNDARY-VALUE PROBLEMS . . . 376 8.6 APPLICATIONS OF SYSTEMS OF DIFFERENTIAL EQUATIONS 390 8.7 PHASE PORTRAITS 405 8.8 TWO NONLINEAR EXAMPLES (OPTIONAL) 426 8.9 DEFECTIVE SYSTEMS OF FIRST-ORDER DIFFERENTIAL EQUATIONS (OPTIONAL) 432 8.10 SOLUTION OF LINEAR SYSTEMS BY LAPLACE TRANSFORMS (OPTIONAL) . . 438 CONTENTS I XIII 9 DIFFERENTIAL SYSTEM S WIT H VARIABLE COEFFICIENTS 445 9.0 INTRODUCTION 445 9.1 CAUCHY-EULER SYSTEMS 446 9.2 SOLUTION ABOUT ORDINARY POINTS 458 9.3 SOLUTION ABOUT REGULAR SINGULAR POINTS 470 A MATHEMATICAL GENERAL INTRODUCTIO N 475 B MATHEMATICA STYLE: SOME CONSIDERATIONS 47 7 C MATHEMATICA FUNCTIONS FOR DIFFERENTIAL EQUATIONS 48 3 BIBLIOGRAPHY 49 1 INDEX OF MATHEMATICA COMMAND S 495 INDEX 499
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spelling	Ross, Clay C. Verfasser aut Differential equations an introduction with Mathematica Clay C. Ross New York u.a. Springer 1995 XIII, 503 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Textbooks in mathematical sciences Literaturverz. S. 491 - 493 Mathematica (Computer file) Differentiaalvergelijkingen gtt Mathematica (computerprogramma) gtt Differential equations Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)4143389-0 Aufgabensammlung gnd-content Differentialgleichung (DE-588)4012249-9 s Mathematica Programm (DE-588)4268208-3 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006711542&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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	Ross, Clay C. Differential equations an introduction with Mathematica Mathematica (Computer file) Differentiaalvergelijkingen gtt Mathematica (computerprogramma) gtt Differential equations Mathematica Programm (DE-588)4268208-3 gnd Differentialgleichung (DE-588)4012249-9 gnd
subject_GND	(DE-588)4268208-3 (DE-588)4012249-9 (DE-588)4151278-9 (DE-588)4143389-0
title	Differential equations an introduction with Mathematica
title_auth	Differential equations an introduction with Mathematica
title_exact_search	Differential equations an introduction with Mathematica
title_full	Differential equations an introduction with Mathematica Clay C. Ross
title_fullStr	Differential equations an introduction with Mathematica Clay C. Ross
title_full_unstemmed	Differential equations an introduction with Mathematica Clay C. Ross
title_short	Differential equations
title_sort	differential equations an introduction with mathematica
title_sub	an introduction with Mathematica
topic	Mathematica (Computer file) Differentiaalvergelijkingen gtt Mathematica (computerprogramma) gtt Differential equations Mathematica Programm (DE-588)4268208-3 gnd Differentialgleichung (DE-588)4012249-9 gnd
topic_facet	Mathematica (Computer file) Differentiaalvergelijkingen Mathematica (computerprogramma) Differential equations Mathematica Programm Differentialgleichung Einführung Aufgabensammlung
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