Essentials of engineering mathematics: worked examples and problems
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Chapman & Hall
2005
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 882 S. |
| ISBN: | 1584884894 |
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Record in the Search Index
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| adam_text | ESSENTIALS OF ENGINEERING MATHEMATICS WORKED EXAMPLES AND PROBLEMS
SECOND EDITION ALAN JEFFREY CHAPMAN & HALL/CRC A CRC PRESS COMPANY BOCA
RATON LONDON NEW YORK WASHINGTON, D.C. CONTENTS PREFACE IX SECTION 1
REAL NUMBERS, INEQUALITIES AND INTERVALS 1 SECTION 2 FUNCTION, DOMAIN
AND RANGE 12 SECTION 3 BASIC COORDINATE GEOMETRY 17 SECTION 4 POLAR
COORDINATES 35 SECTION 5 MATHEMATICAL INDUCTION 40 SECTION 6 BINOMIAL
THEOREM 44 SECTION 7 COMBINATION OF FUNCTIONS 50 SECTION 8 SYMMETRY IN
FUNCTIONS AND GRAPHS 55 SECTION 9 INVERSE FUNCTIONS 60 SECTION 10
COMPLEX NUMBERS: REAL AND IMAGINARY FORMS 66 SECTION 11 GEOMETRY OF
COMPLEX NUMBERS 75 SECTION 12 MODULUS-ARGUMENT FORM OF A COMPLEX NUMBER
81 SECTION 13 ROOTS OF COMPLEX NUMBERS 87 SECTION 14 LIMITS 92 SECTION
15 ONE-SIDED LIMITS: CONTINUITY 101 SECTION 16 DERIVATIVES 109 SECTION
17 LEIBNIZ S FORMULA 123 SECTION 18 DIFFERENTIALS 128 SECTION 19
DIFFERENTIATION OF INVERSE TRIGONOMETRIC FUNCTIONS 133 SECTION 20
IMPLICIT DIFFERENTIATION 138 SECTION 21 PARAMETRICALLY DEFINED CURVES
AND PARAMETRIC DIFFERENTIATION 141 SECTION 22 THE EXPONENTIAL FUNCTION
148 SECTION 23 THE LOGARITHMIC FUNCTION 156 SECTION 24 HYPERBOLIC
FUNCTIONS 164 SECTION 25 INVERSE HYPERBOLIC FUNCTIONS 169 SECTION 26
PROPERTIES AND APPLICATIONS OF DIFFERENTIABILITY 174 SECTION 27
FUNCTIONS OF TWO VARIABLES 192 SECTION 28 LIMITS AND CONTINUITY OF
FUNCTIONS OF TWO REAL VARIABLES 198 SECTION 29 PARTIAL DIFFERENTIATION
204 SECTION 30 THE TOTAL DIFFERENTIAL 217 SECTION 31 THE CHAIN RULE 224
SECTION 32 CHANGE OF VARIABLE IN PARTIAL DIFFERENTIATION 230 VI
ESSENTIALS OF ENGINEERING MATHEMATICS SECTION 33 ANTIDIFFERENTIATION
(INTEGRATION) 238 SECTION 34 INTEGRATION BY SUBSTITUTION 249 SECTION 35
SOME USEFUL STANDARD FORMS 262 SECTION 36 INTEGRATION BY PARTS 266
SECTION 37 PARTIAL FRACTIONS AND INTEGRATION OF RATIONAL FUNCTIONS 277
SECTION 38 THE DEFINITE INTEGRAL 288 SECTION 39 THE FUNDAMENTAL THEOREM
OF INTEGRAL CALCULUS AND THE EVALUATION OF DEFINITE INTEGRALS 296
SECTION 40 IMPROPER INTEGRALS 311 SECTION 41 NUMERICAL INTEGRATION 317
SECTION 42 GEOMETRICAL APPLICATIONS OF DEFINITE INTEGRALS 324 SECTION 43
CENTRE OF MASS OF A PLANE LAMINA (CENTROID) 333 SECTION 44 APPLICATIONS
OF INTEGRATION TO HE HYDROSTATIC PRESSURE ON A PLATE 341 SECTION 45
MOMENTS OF INERTIA 348 SECTION 46 SEQUENCES 351 SECTION 47 INFINITE
NUMERICAL SERIES 354 SECTION 48 POWER SERIES 374 SECTION 49 TAYLOR AND
MACLAURIN SERIES 382 SECTION 50 TAYLOR S THEOREM FOR FUNCTIONS OF TWO
VARIABLES: STATIONARY POINTS AND THEIR IDENTIFICATION 403 SECTION 51
FOURIER SERIES 416 SECTION 52 DETERMINANTS 435 SECTION 53 MATRICES:
EQUALITY, ADDITION, SUBTRACTION, SCALING AND TRANSPOSITION 450 SECTION
54 MATRIX MULTIPLICATION 456 SECTION 55 THE INVERSE MATRIX 467 SECTION
56 SOLUTION OF A SYSTEM OF LINEAR EQUATIONS: GAUSSIAN ELIMINATION 474
SECTION 57 THE GAUSS-SEIDEL ITERATIVE METHOD 489 SECTION 58 THE
ALGEBRAIC EIGENVALUE PROBLEM 496 SECTION 59 SCALARS, VECTORS AND VECTOR
ADDITION 505 SECTION 60 VECTORS IN COMPONENT FORM 511 SECTION 61 THE
STRAIGHT LINE 519 SECTION 62 THE SCALAR PRODUCT (DOT PRODUCT) 523
SECTION 63 THE PLANE 528 SECTION 64 THE VECTOR PRODUCT (CROSS PRODUCT)
533 SECTION 65 APPLICATIONS OF THE VECTOR PRODUCT 540 SECTION 66
DIFFERENTIATION AND INTEGRATION OF VECTORS 550 SECTION 67 DYNAMICS OF A
PARTICLE AND THE MOTION OF A PARTICLE IN A PLANE 561 SECTION 68 SCALAR
AND VECTOR FIELDS AND THE GRADIENT OF A SCALAR FUNCTION 567 SECTION 69
ORDINARY DIFFERENTIAL EQUATIONS: ORDER AND DEGREE, INITIAL AND BOUNDARY
CONDITIONS 578 CONTENTS SECTION 70 FIRST ORDER DIFFERENTIAL EQUATIONS
SOLVABLE BY SEPARATION OF VARIABLES 586 SECTION 71 THE METHOD OF
ISOCLINES AND EULER S METHODS 592 SECTION 72 HOMOGENEOUS AND NEAR
HOMOGENEOUS EQUATIONS 605 SECTION 73 EXACT DIFFERENTIAL EQUATIONS 612
SECTION 74 THE FIRST ORDER LINEAR DIFFERENTIAL EQUATION 617 SECTION 75
THE BERNOULLI EQUATION 623 SECTION 76 THE STRUCTURE OF SOLUTIONS OF
LINEAR DIFFERENTIAL EQUATIONS OF ANY ORDER 625 SECTION 71 DETERMINING
THE COMPLEMENTARY FUNCTION FOR CONSTANT COEFFICIENT EQUATIONS 631
SECTION 78 DETERMINING PARTICULAR INTEGRALS OF CONSTANT COEFFICIENT
EQUATIONS 640 SECTION 79 DIFFERENTIAL EQUATIONS DESCRIBING OSCILLATIONS
649 SECTION 80 SIMULTANEOUS FIRST ORDER LINEAR CONSTANT COEFFICIENT
DIFFERENTIAL EQUATIONS 657 SECTION 81 THE LAPLACE TRANSFORM AND
TRANSFORM PAIRS 662 SECTION 82 THE LAPLACE TRANSFORM OF DERIVATIVES 669
SECTION 83 THE SHIFT THEOREMS AND THE HEAVISIDE STEP FUNCTION 671
SECTION 84 SOLUTION OF INITIAL VALUE PROBLEMS 680 SECTION 85 THE DELTA
FUNCTION AND ITS USE IN INITIAL VALUE PROBLEMS WITH THE LAPLACE
TRANSFORM 691 SECTION 86 ENLARGING THE LIST OF LAPLACE TRANSFORM PAIRS
697 SECTION 87 SYMBOLIC ALGEBRAIC MANIPULATION BY COMPUTER SOFTWARE 701
ANSWERS 731 REFERENCE INFORMATION 865 INDEX 875 VII
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| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| language | English |
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| spelling | Jeffrey, Alan Verfasser aut Essentials of engineering mathematics worked examples and problems Alan Jeffrey 2. ed. London Chapman & Hall 2005 VII, 882 S. txt rdacontent n rdamedia nc rdacarrier Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Ingenieurwissenschaften (DE-588)4137304-2 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013094710&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jeffrey, Alan Essentials of engineering mathematics worked examples and problems Ingenieurwissenschaften (DE-588)4137304-2 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4137304-2 (DE-588)4037944-9 |
| title | Essentials of engineering mathematics worked examples and problems |
| title_auth | Essentials of engineering mathematics worked examples and problems |
| title_exact_search | Essentials of engineering mathematics worked examples and problems |
| title_full | Essentials of engineering mathematics worked examples and problems Alan Jeffrey |
| title_fullStr | Essentials of engineering mathematics worked examples and problems Alan Jeffrey |
| title_full_unstemmed | Essentials of engineering mathematics worked examples and problems Alan Jeffrey |
| title_short | Essentials of engineering mathematics |
| title_sort | essentials of engineering mathematics worked examples and problems |
| title_sub | worked examples and problems |
| topic | Ingenieurwissenschaften (DE-588)4137304-2 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Ingenieurwissenschaften Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013094710&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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