Mathematics in engineering and science:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley
1998
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 756 S. graph. Darst. |
| ISBN: | 0471970956 047197093X |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | MATHEMATICS IN ENGINEERING AND SCIENCE L R MUSTOE LOUGHBOROUGH
UNIVERSITY, LOUGHBOROUGH M D J BARRY UNIVERSITY OF BRISTOL, BRISTOL JOHN
WILEY & SONS CHICHESTER * NEW YORK * WEINHEIM * BRISBANE * SINGAPORE *
TORONTO CONTENTS PREFACE XI FOUNDATION MATHEMATICS 1 1 TRIGONOMETRY 43
1.1 SEC, COSEC AND COT 45 1.2 IDENTITIES AND EQUATIONS 52 1.3 FUNCTIONS
OF COMPOUND ANGLES 58 1.4 WAVES AND FURTHER APPLICATIONS 70 SUMMARY 81
ANSWERS 83 2 SOLVING EQUATIONS 89 2.1 POLYNOMIAL EQUATIONS 91 2.2
EXPONENTIAL AND LOGARITHMIC EQUATIONS 107 2.3 ROOTS BY SIGN CHANGE 118
2.4 THE CONCEPT OF ITERATION 122 2.5 SYSTEMATIC ITERATIVE METHODS 130
SUMMARY 138 ANSWERS 140 3 ALGEBRA 151 3.1 PERMUTATIONS AND COMBINATIONS
153 3.2 THE BINOMIAL THEOREM 160 3.3 PARTIAL FRACTIONS 170 3.4 GRAPHS OF
RATIONAL FUNCTIONS 178 SUMMARY 189 ANSWERS 191 VII VIII CONTENTS 4
VECTORS 205 4.1 IDEAS, DEFINITIONS AND GRAPHS 207 4.2 UNIT VECTORS AND
CARTESIAN COORDINATES 215 4.3 THE SCALAR PRODUCT OF TWO VECTORS 221 4.4
STRAIGHT LINES IN TWO AND THREE DIMENSIONS 226 4.5 THE VECTOR PRODUCT
AND THE PLANE 236 SUMMARY 246 ANSWERS 247 5 DIFFERENTIATION 253 5.1
COMPOSITE DIFFERENTIATION 255 5.2 IMPLICIT AND INVERSE DIFFERENTIATION
273 5.3 MACLAURIN SERIES 282 5.4 NUMERICAL DIFFERENTIATION 289 SUMMARY
299 ANSWERS 301 6 INTEGRATION 309 6.1 INTEGRATION BY SUBSTITUTION 311
6.2 INTEGRATION BY PARTS 323 6.3 FURTHER METHODS OF INTEGRATION 332 6.4
NUMERICAL INTEGRATION 341 6.5 EXISTENCE OF INTEGRALS 351 SUMMARY. 353
ANSWERS 355 7 GEOMETRY AND CALCULUS 363 7.1 THE CONIC SECTIONS 365 1 7.2
TWO-DIMENSIONAL CURVES 385 7.3 GEOMETRY OF MOTION 397 7.4 INTEGRATION
AND APPLICATIONS 406 7.5 DEVELOPMENT IN THREE DIMENSIONS 416 SUMMARY 426
ANSWERS 428 8 MATRICES 441 8.1 DEFINITION AND BASIC.PROPERTIES 443 8.2
TRANSFORMATIONS IN TWO DIMENSIONS 451 8.3 PROPERTIES OF SQUARE MATRICES
466 CONTENTS IX 8.4 3X3 MATRICES 478 SUMMARY 493 ANSWERS 495 9
UNCERTAINTY 50 1 9.1 ANALYSIS OF DATA 503 9.2 PROBABILITY THEORY AND THE
MODELLING OF UNCERTAINTY 518 9.3 RANDOM VARIABLES 531 9.4 CONTINUOUS
RANDOM VARIABLES 541 SUMMARY 556 ANSWERS 558 10 INTEGER VARIABLE 563
10.1 SEQUENCES AND SERIES 565 10.2 RECURSION 579 10.3 MATHEMATICAL
INDUCTION 589 10.4 POWER SERIES 599 SUMMARY 610 ANSWERS 612 11 ORDINARY
DIFFERENTIAL EQUATIONS 619 11.1 BASIC IDEAS 621 11.2 FIRST-ORDER
EQUATIONS 631 11.3 NUMERICAL METHODS OF SOLUTION 650 11.4 HIGHER-ORDER
EQUATIONS 656 SUMMARY 674 ANSWERS 676 12 COMPLEX NUMBERS 687 12.1
COMPLEX ALGEBRA 689 12.2 COMPLEX NUMBERS AND GEOMETRY 696 12.3 DE
MOIVRE S FORMULA 705 12.4 APPLICATIONS 712 SUMMARY 722 ANSWERS 724
APPENDIX: AN INTRODUCTION TO MATHEMATICAL MODELLING 731 A.I CASE STUDY:
VENTILATING A LECTURE ROOM 732 A.2 THE MODELLING PROCESS 737 ANSWERS 743
INDEX 747
|
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:21:18Z |
| institution | BVB |
| isbn | 0471970956 047197093X |
| language | English |
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| spelling | Mustoe, L. R. Verfasser aut Mathematics in engineering and science L. R. Mustoe ; M. D. J. Barry Chichester [u.a.] Wiley 1998 XII, 756 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Matemática larpcal Mathématiques de l'ingénieur ram Mathématiques ram Mathématiques, fondements ram Mathematik Mathematics Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Naturwissenschaften (DE-588)4041421-8 s DE-604 Ingenieurwissenschaften (DE-588)4137304-2 s Barry, Michael D. J. Verfasser (DE-588)113173636 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008177644&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mustoe, L. R. Barry, Michael D. J. Mathematics in engineering and science Matemática larpcal Mathématiques de l'ingénieur ram Mathématiques ram Mathématiques, fondements ram Mathematik Mathematics Ingenieurwissenschaften (DE-588)4137304-2 gnd Naturwissenschaften (DE-588)4041421-8 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4137304-2 (DE-588)4041421-8 (DE-588)4037944-9 |
| title | Mathematics in engineering and science |
| title_auth | Mathematics in engineering and science |
| title_exact_search | Mathematics in engineering and science |
| title_full | Mathematics in engineering and science L. R. Mustoe ; M. D. J. Barry |
| title_fullStr | Mathematics in engineering and science L. R. Mustoe ; M. D. J. Barry |
| title_full_unstemmed | Mathematics in engineering and science L. R. Mustoe ; M. D. J. Barry |
| title_short | Mathematics in engineering and science |
| title_sort | mathematics in engineering and science |
| topic | Matemática larpcal Mathématiques de l'ingénieur ram Mathématiques ram Mathématiques, fondements ram Mathematik Mathematics Ingenieurwissenschaften (DE-588)4137304-2 gnd Naturwissenschaften (DE-588)4041421-8 gnd Mathematik (DE-588)4037944-9 gnd |
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