Mathematics for engineers and scientists:
"Thoroughly revised to meet the needs of today's curricula, Mathematics for Engineers and Scientists, Sixth Edition covers all of the topics typically introduced to first-year engineering students, from number systems, functions, and vectors to series, differential equations, and numerical...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall
2005
|
| Ausgabe: | 6. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "Thoroughly revised to meet the needs of today's curricula, Mathematics for Engineers and Scientists, Sixth Edition covers all of the topics typically introduced to first-year engineering students, from number systems, functions, and vectors to series, differential equations, and numerical analysis." "Although designed as a textbook with problem sets in each chapter and selected answers at the end of the book, Mathematics for Engineers and Scientists, Sixth Edition serves equally well as a supplemental text and for self-study."--BOOK JACKET. |
| Beschreibung: | XVI, 994 S. graph. Darst. |
| ISBN: | 1584884886 |
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Datensatz im Suchindex
| _version_ | 1806142879566921728 |
|---|---|
| adam_text |
MATHEMATICS FOR ENGINEERS AND SCIENTISTS SIXTH EDITION ALAN JEFFREY
CHAPMAN & HALL/CRC A CRC PRESS COMPANY BOCA RATON LONDON NEW YORK
WASHINGTON, D.C. CONTENTS PREFACE TO THE SIXTH EDITION XI PREFACE TO THE
FIRST EDITION XIII SUPPLEMENTARY COMPUTER PROBLEMS XV 1 NUMBERS,
TRIGONOMETRIC FUNCTIONS AND COORDINATE GEOMETRY 1 1.1 SETS AND NUMBERS 2
1.2 INTEGERS, RATIONALS AND ARITHMETIC LAWS 5 1.3 ABSOLUTE VALUE OF A
REAL NUMBER 13 1.4 MATHEMATICAL INDUCTION 15 1.5 REVIEW OF TRIGONOMETRIC
PROPERTIES 24 1.6 CARTESIAN GEOMETRY 31 1.7 POLAR COORDINATES 42 1.8
COMPLETING THE SQUARE 46 1.9 LOGARITHMIC FUNCTIONS 48 1.10 GREEK SYMBOLS
USED IN MATHEMATICS 52 PROBLEMS 53 2 VARIABLES, FUNCTIONS AND MAPPINGS
61 2.1 VARIABLES AND FUNCTIONS 62 2.2 INVERSE FUNCTIONS 67 2.3 SOME
SPECIAL FUNCTIONS 73 2.4 CURVES AND PARAMETERS 80 2.5 FUNCTIONS OF
SEVERAL REAL VARIABLES 85 PROBLEMS 90 3 SEQUENCES, LIMITS AND CONTINUITY
97 3.1 SEQUENCES 97 3.2 LIMITS OF SEQUENCES 104 3.3 THE NUMBER E 113 3.4
LIMITS OF FUNCTIONS - CONTINUITY 116 3.5 FUNCTIONS OF SEVERAL VARIABLES
- LIMITS, CONTINUITY 123 3.6 A USEFUL CONNECTING THEOREM 127 3.7
ASYMPTOTES 130 PROBLEMS 133 VI CONTENTS COMPLEX NUMBERS AND VECTORS 143
4.1 INTRODUCTORY IDEAS 144 4.2 BASIC ALGEBRAIC RULES FOR COMPLEX NUMBERS
147 4.3 COMPLEX NUMBERS AS VECTORS 153 4.4 MODULUS - ARGUMENT FORM OF
COMPLEX NUMBERS 157 4.5 ROOTS OF COMPLEX NUMBERS 161 4.6 INTRODUCTION TO
SPACE VECTORS 163 4.7 SCALAR AND VECTOR PRODUCTS 173 4.8 GEOMETRICAL
APPLICATIONS 184 4.9 APPLICATIONS TO MECHANICS 189 PROBLEMS 193
DIFFERENTIATION OF FUNCTIONS OF ONE OR MORE REAL VARIABLES 205 5.1 THE
DERIVATIVE 206 5.2 RULES OF DIFFERENTIATION 218 5.3 SOME IMPORTANT
CONSEQUENCES OF DIFFERENTIABILITY 226 5.4 HIGHER DERIVATIVES -
APPLICATIONS 249 5.5 PARTIAL DIFFERENTIATION 257 5.6 TOTAL DIFFERENTIALS
262 5.7 ENVELOPES 269 5.8 THE CHAIN RULE AND ITS CONSEQUENCES 272 5.9
CHANGE OF VARIABLE ** / /A X \ 276 5.10 SOME APPLICATIONS OF -P- = 1 / (
* ) 280 DX I \DYJ 5.11 HIGHER-ORDER PARTIAL DERIVATIVES 283 PROBLEMS 289
EXPONENTIAL, LOGARITHMIC AND HYPERBOLIC FUNCTIONS AND AN INTRODUCTION TO
COMPLEX FUNCTIONS 305 6.1 THE EXPONENTIAL FUNCTION 305 6.2
DIFFERENTIATION OF FUNCTIONS INVOLVING THE EXPONENTIAL FUNCTION 311 6.3
THE LOGARITHMIC FUNCTION 314 6.4 HYPERBOLIC FUNCTIONS 320 6.5
EXPONENTIAL FUNCTION WITH A COMPLEX ARGUMENT 328 6.6 FUNCTIONS OF A
COMPLEX VARIABLE, LIMITS, CONTINUITY AND DIFFERENTIABILITY 332 PROBLEMS
338 FUNDAMENTALS OF INTEGRATION 347 7.1 DEFINITE INTEGRALS AND AREAS 347
7.2 INTEGRATION OF ARBITRARY CONTINUOUS FUNCTIONS 356 7.3 INTEGRAL
INEQUALITIES 363 7.4 THE DEFINITE INTEGRAL AS A FUNCTION OF ITS UPPER
LIMIT - THE INDEFINITE INTEGRAL 365 7.5 DIFFERENTIATION OF AN INTEGRAL
CONTAINING A PARAMETER 369 7.6 OTHER GEOMETRICAL APPLICATIONS OF
DEFINITE INTEGRALS 371 7.7 CENTRE OF MASS AND MOMENT OF INERTIA 380
CONTENTS VII 7.8 LINE INTEGRALS 389 PROBLEMS 390 8 SYSTEMATIC
INTEGRATION 397 8.1 INTEGRATION OF ELEMENTARY FUNCTIONS 397 8.2
INTEGRATION BY SUBSTITUTION 400 8.3 INTEGRATION BY PARTS 412 8.4
REDUCTION FORMULAE 415 8.5 INTEGRATION OF RATIONAL FUNCTIONS - PARTIAL
FRACTIONS 419 8.6 OTHER SPECIAL TECHNIQUES OF INTEGRATION 427 8.7
INTEGRATION BY MEANS OF TABLES 431 PROBLEMS 433 9 DOUBLE INTEGRALS IN
CARTESIAN AND PLANE POLAR COORDINATES 439 9.1 DOUBLE INTEGRALS IN
CARTESIAN COORDINATES 439 9.2 DOUBLE INTEGRALS USING POLAR COORDINATES
454 PROBLEMS 460 10 MATRICES AND LINEAR TRANSFORMATIONS 463 10.1 MATRIX
ALGEBRA 464 10.2 DETERMINANTS 476 10.3 LINEAR DEPENDENCE AND LINEAR
INDEPENDENCE 486 10.4 INVERSE AND ADJOINT MATRICES 489 10.5 MATRIX
FUNCTIONS OF A SINGLE VARIABLE 494 10.6 SOLUTION OF SYSTEMS OF LINEAR
EQUATIONS 497 10.7 EIGENVALUES AND EIGENVECTORS 505 10.8 MATRIX
INTERPRETATION OF CHANGE OF VARIABLES IN PARTIAL DIFFERENTIATION 509
10.9 LINEAR TRANSFORMATIONS 511 10.10 APPLICATIONS OF MATRICES AND
LINEAR TRANSFORMATIONS 513 PROBLEMS 533 11 SCALARS, VECTORS AND FIELDS
549 11.1 CURVES IN SPACE 549 11.2 ANTIDERIVATIVES AND INTEGRALS OF
VECTOR FUNCTIONS 557 11.3 SOME APPLICATIONS 562 11.4 FIELDS, GRADIENT
AND DIRECTIONAL DERIVATIVE 567 11.5 DIVERGENCE AND CURL OF A VECTOR 572
11.6 CONSERVATIVE FIELDS AND POTENTIAL FUNCTIONS 577 PROBLEMS 579 12
SERIES, TAYLOR'S THEOREM AND ITS USES 585 12.1 SERIES . 585 12.2 POWER
SERIES 602 12.3 TAYLOR'S THEOREM 607 12.4 APPLICATIONS OF TAYLOR'S
THEOREM 623 12.5 APPLICATIONS OF THE GENERALIZED MEAN VALUE THEOREM 625
PROBLEMS 642 VIII CONTENTS 13 DIFFERENTIAL EQUATIONS AND GEOMETRY 651
13.1 INTRODUCTORY IDEAS 651 13.2 POSSIBLE PHYSICAL ORIGIN OF SOME
EQUATIONS 654 13.3 ARBITRARY CONSTANTS AND INITIAL CONDITIONS 656 13.4
FIRST-ORDER EQUATIONS - DIRECTION FIELDS AND ISOCLINES 659 13.5
ORTHOGONAL TRAJECTORIES 669 PROBLEMS 670 14 FIRST-ORDER DIFFERENTIAL
EQUATIONS 675 14.1 EQUATIONS WITH SEPARABLE VARIABLES 675 14.2
HOMOGENEOUS EQUATIONS 679 14.3 EXACT EQUATIONS 681 14.4 THE LINEAR
EQUATION OF FIRST ORDER 685 14.5 DIRECT DEDUCTIONS 690 PROBLEMS 691 15
HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS 697 15.1 LINEAR EQUATIONS
WITH CONSTANT COEFFICIENTS - HOMOGENEOUS CASE 699 15.2 LINEAR EQUATIONS
WITH CONSTANT COEFFICIENTS - 16 17 MHOMOGENEOUS CASE 15.3 VARIATION OF
PARAMETERS 15.4 OSCILLATORY SOLUTIONS 15.5 COUPLED OSCILLATIONS AND
NORMAL MODES 15.6 SYSTEMS OF FIRST-ORDER EQUATIONS 15.7 TWO-POINT
BOUNDARY VALUE PROBLEMS 15.8 THE LAPLACE TRANSFORM 15.9 THE DELTA
FUNCTION 15.10 APPLICATIONS OF THE LAPLACE TRANSFORM PROBLEMS FOURIER
SERIES 16.1 INTRODUCTORY IDEAS 16.2 CONVERGENCE OF FOURIER SERIES 16.3
DIFFERENT FORMS OF FOURIER SERIES 16.4 DIFFERENTIATION AND INTEGRATION
PROBLEMS NUMERICAL ANALYSIS 17.1 ERRORS AND EFFICIENT METHODS OF
CALCULATION 17.2 'SOLUTION OF LINEAR EQUATIONS 17.3 INTERPOLATION 17.4
NUMERICAL INTEGRATION 706 716 721 724 730 731 734 750 752 763 773 774
788 790 798 801 807 808 812 819 826 17.5 SOLUTION OF POLYNOMIAL AND
TRANSCENDENTAL EQUATIONS 835 17.6 NUMERICAL SOLUTIONS OF DIFFERENTIAL
EQUATIONS 842 17.7 DETERMINATION OF EIGENVALUES AND EIGENVECTORS 850
PROBLEMS 855 CONTENTS IX 18 PROBABILITY AND STATISTICS 865 18.1 THE
ELEMENTS OF SET THEORY FOR USE IN PROBABILITY AND STATISTICS 866 18.2
PROBABILITY, DISCRETE DISTRIBUTIONS AND MOMENTS 868 18.3 CONTINUOUS
DISTRIBUTIONS AND THE NORMAL DISTRIBUTION 887 18.4 MEAN AND VARIANCE OF
A SUM OF RANDOM VARIABLES 894 18.5 STATISTICS - INFERENCE DRAWN FROM
OBSERVATIONS 896 18.6 LINEAR REGRESSION 906 PROBLEMS 908 19 SYMBOLIC
ALGEBRAIC MANIPULATION BY COMPUTER SOFTWARE 913 MAPLE 916 MATLAB 935
ANSWERS 943 REFERENCE LIST 1: USEFUL IDENTITIES AND CONSTANTS 969
REFERENCE LIST 2: BASIC DERIVATIES AND RULES 971 REFERENCE LIST 3:
LAPLACE TRANSFORM PAIRS 973 REFERENCE LIST 4: SHORT TABLE OF INTEGRALS
975 INDEX 983 |
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| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV019768499 |
| illustrated | Illustrated |
| indexdate | 2024-08-01T00:27:55Z |
| institution | BVB |
| isbn | 1584884886 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013094686 |
| oclc_num | 835219002 |
| open_access_boolean | |
| owner | DE-M347 DE-706 DE-20 DE-83 |
| owner_facet | DE-M347 DE-706 DE-20 DE-83 |
| physical | XVI, 994 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Chapman & Hall |
| record_format | marc |
| spelling | Jeffrey, Alan Verfasser aut Mathematics for engineers and scientists Alan Jeffrey 6. ed. Boca Raton [u.a.] Chapman & Hall 2005 XVI, 994 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier "Thoroughly revised to meet the needs of today's curricula, Mathematics for Engineers and Scientists, Sixth Edition covers all of the topics typically introduced to first-year engineering students, from number systems, functions, and vectors to series, differential equations, and numerical analysis." "Although designed as a textbook with problem sets in each chapter and selected answers at the end of the book, Mathematics for Engineers and Scientists, Sixth Edition serves equally well as a supplemental text and for self-study."--BOOK JACKET. Matemática larpcal Mathematik Naturwissenschaft Engineering mathematics Mathematical analysis Mathematics Science Mathematics Naturwissenschaftler (DE-588)4041423-1 gnd rswk-swf Fachhochschule (DE-588)4016172-9 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Algebra (DE-588)4001156-2 s DE-604 Infinitesimalrechnung (DE-588)4072798-1 s Vektorrechnung (DE-588)4062471-7 s Mathematik (DE-588)4037944-9 s Naturwissenschaftler (DE-588)4041423-1 s Naturwissenschaften (DE-588)4041421-8 s Analysis (DE-588)4001865-9 s Fachhochschule (DE-588)4016172-9 s Ingenieurwissenschaften (DE-588)4137304-2 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013094686&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jeffrey, Alan Mathematics for engineers and scientists Matemática larpcal Mathematik Naturwissenschaft Engineering mathematics Mathematical analysis Mathematics Science Mathematics Naturwissenschaftler (DE-588)4041423-1 gnd Fachhochschule (DE-588)4016172-9 gnd Mathematik (DE-588)4037944-9 gnd Vektorrechnung (DE-588)4062471-7 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Algebra (DE-588)4001156-2 gnd Naturwissenschaften (DE-588)4041421-8 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4041423-1 (DE-588)4016172-9 (DE-588)4037944-9 (DE-588)4062471-7 (DE-588)4072798-1 (DE-588)4137304-2 (DE-588)4001156-2 (DE-588)4041421-8 (DE-588)4001865-9 (DE-588)4151278-9 |
| title | Mathematics for engineers and scientists |
| title_auth | Mathematics for engineers and scientists |
| title_exact_search | Mathematics for engineers and scientists |
| title_full | Mathematics for engineers and scientists Alan Jeffrey |
| title_fullStr | Mathematics for engineers and scientists Alan Jeffrey |
| title_full_unstemmed | Mathematics for engineers and scientists Alan Jeffrey |
| title_short | Mathematics for engineers and scientists |
| title_sort | mathematics for engineers and scientists |
| topic | Matemática larpcal Mathematik Naturwissenschaft Engineering mathematics Mathematical analysis Mathematics Science Mathematics Naturwissenschaftler (DE-588)4041423-1 gnd Fachhochschule (DE-588)4016172-9 gnd Mathematik (DE-588)4037944-9 gnd Vektorrechnung (DE-588)4062471-7 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Algebra (DE-588)4001156-2 gnd Naturwissenschaften (DE-588)4041421-8 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Matemática Mathematik Naturwissenschaft Engineering mathematics Mathematical analysis Mathematics Science Mathematics Naturwissenschaftler Fachhochschule Vektorrechnung Infinitesimalrechnung Ingenieurwissenschaften Algebra Naturwissenschaften Analysis Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013094686&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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