Inequalities: with applications to engineering
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Springer
1998
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. 143 - 146 |
Beschreibung: | VIII, 150 S. graph. Darst. |
ISBN: | 0387984046 |
Internformat
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650 | 4 | |a Engineering mathematics | |
650 | 4 | |a Inequalities (Mathematics) | |
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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
|
any_adam_object | 1 |
author | Cloud, Michael J. 1960- Drachman, Byron C. |
author_GND | (DE-588)120264242 |
author_facet | Cloud, Michael J. 1960- Drachman, Byron C. |
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author_sort | Cloud, Michael J. 1960- |
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building | Verbundindex |
bvnumber | BV012069177 |
callnumber-first | T - Technology |
callnumber-label | TA345 |
callnumber-raw | TA345.C58 1998 |
callnumber-search | TA345.C58 1998 |
callnumber-sort | TA 3345 C58 41998 |
callnumber-subject | TA - General and Civil Engineering |
classification_rvk | SK 490 |
ctrlnum | (OCoLC)37928531 (DE-599)BVBBV012069177 |
dewey-full | 515 51521 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515 515 21 |
dewey-search | 515 515 21 |
dewey-sort | 3515 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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illustrated | Illustrated |
indexdate | 2024-07-09T18:21:07Z |
institution | BVB |
isbn | 0387984046 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008169864 |
oclc_num | 37928531 |
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owner | DE-703 DE-739 DE-20 DE-521 DE-634 DE-11 |
owner_facet | DE-703 DE-739 DE-20 DE-521 DE-634 DE-11 |
physical | VIII, 150 S. graph. Darst. |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Springer |
record_format | marc |
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 |
url | 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 |
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