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Inequalities: with applications to engineering

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Bibliographische Detailangaben
Hauptverfasser:	Cloud, Michael J. 1960- (VerfasserIn), Drachman, Byron C. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York [u.a.] Springer 1998
Schlagworte:	Inégalités (mathématiques) Engineering mathematics Inequalities (Mathematics) Ungleichung
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Literaturverz. S. 143 - 146
Beschreibung:	VIII, 150 S. graph. Darst.
ISBN:	0387984046

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MARC


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Datensatz im Suchindex

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adam_text	MICHAEL J. CLOUD BYRON C. DRACHMAN INEQUALITIE S WITH APPLICATIONS TO ENGINEERIN G WITH 14 FIGURES SPRINGER CONTENTS PREFACE V 1 BASI C REVIE W OF INEQUALITIE S 1 1.1 PRELIMINARIES 1 1.2 ELEMENTARY PROPERTIES AND SURVIVAL RULES 2 1.3 BOUNDED SET TERMINOLOGY 4 1.4 QUADRATIC INEQUALITIES 5 1.5 ABSOLUTE VALUE AND THE TRIANGLE INEQUALITY 5 1.6 MISCELLANEOUS EXAMPLES 10 1.7 EXERCISES 14 2 METHOD S FROM TH E CALCULUS 19 2.1 INTRODUCTION 19 2.2 FUNCTION TERMINOLOGY AND FACTS 19 2.3 BASIC RESULTS FOR INTEGRALS 21 2.4 RESULTS FROM TH E DIFFERENTIAL CALCULUS 23 2.5 SOME APPLICATIONS 27 2.6 EXERCISES 32 3 SOME STANDARD INEQUALITIE S 37 3.1 INTRODUCTION 37 3.2 BERNOULLI S INEQUALITY 37 3.3 YOUNG S INEQUALITY 38 3.4 THE INEQUALITY OF THE MEANS 38 VIII CONTENTS 3.5 HOLDER S INEQUALITY 40 3.6 MINKOWSKI S INEQUALITY 43 3.7 THE CAUCHY-SCHWARZ INEQUALITY 44 3.8 CHEBYSHEV S INEQUALITY 45 3.9 JENSEN S INEQUALITY 46 3.10 EXERCISES 49 4 INEQUALITIE S IN ABSTRAC T SPACE S 53 4.1 INTRODUCTION 53 4.2 METRIC SPACES 53 4.3 ITERATION IN A METRIC SPACE 56 4.4 LINEAR SPACES 57 4.5 ORTHOGONAL PROJECTION AND EXPANSION 62 4.6 EXERCISES 65 5 SOM E APPLICATION S 6 7 5.1 INTRODUCTION 67 5.2 ESTIMATION OF INTEGRALS 67 5.3 SERIES EXPANSIONS 68 5.4 SIMPSON S RULE 72 5.5 TAYLOR S METHOD 74 5.6 SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS 77 5.7 A PROJECTILE PROBLEM 82 5.8 GEOMETRIC SHAPES 84 5.9 ELECTROSTATIC FIELDS AND CAPACITANCE 88 5.10 APPLICATIONS T O MATRICES 93 5.11 TOPICS IN SIGNAL ANALYSIS 100 5.12 DYNAMICAL SYSTEM STABILITY AND CONTROL 103 5.13 SOME INEQUALITIES OF PROBABILITY 110 5.14 APPLICATIONS IN COMMUNICATION SYSTEMS 112 5.15 EXISTENCE OF SOLUTIONS 115 5.16 A DUALITY THEOREM AND COST MINIMIZATION 121 5.17 EXERCISES 123 APPENDI X HINT S FOR SELECTE D EXERCISE S 127 REFERENCE S 143 INDE X 147
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author	Cloud, Michael J. 1960- Drachman, Byron C.
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spelling	Cloud, Michael J. 1960- Verfasser (DE-588)120264242 aut Inequalities with applications to engineering Michael J. Cloud ; Byron C. Drachman New York [u.a.] Springer 1998 VIII, 150 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 143 - 146 Inégalités (mathématiques) ram Engineering mathematics Inequalities (Mathematics) Ungleichung (DE-588)4139098-2 gnd rswk-swf Ungleichung (DE-588)4139098-2 s DE-604 Drachman, Byron C. Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008169864&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Cloud, Michael J. 1960- Drachman, Byron C. Inequalities with applications to engineering Inégalités (mathématiques) ram Engineering mathematics Inequalities (Mathematics) Ungleichung (DE-588)4139098-2 gnd
subject_GND	(DE-588)4139098-2
title	Inequalities with applications to engineering
title_auth	Inequalities with applications to engineering
title_exact_search	Inequalities with applications to engineering
title_full	Inequalities with applications to engineering Michael J. Cloud ; Byron C. Drachman
title_fullStr	Inequalities with applications to engineering Michael J. Cloud ; Byron C. Drachman
title_full_unstemmed	Inequalities with applications to engineering Michael J. Cloud ; Byron C. Drachman
title_short	Inequalities
title_sort	inequalities with applications to engineering
title_sub	with applications to engineering
topic	Inégalités (mathématiques) ram Engineering mathematics Inequalities (Mathematics) Ungleichung (DE-588)4139098-2 gnd
topic_facet	Inégalités (mathématiques) Engineering mathematics Inequalities (Mathematics) Ungleichung
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