Engineering mathematics:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley
1989
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 714 S. Ill., graph. Darst. |
| ISBN: | 0471922838 |
Internformat
MARC
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| 100 | 1 | |a Bajpai, Avinash C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Engineering mathematics |c A. C. Bajpai ; L. R. Mustoe ; D. Walker |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Chichester [u.a.] |b Wiley |c 1989 | |
| 300 | |a XIII, 714 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Mathématiques de l'in génieur |2 ram | |
| 650 | 4 | |a Mathématiques de l'ingénieur | |
| 650 | 4 | |a Engineering mathematics | |
| 650 | 0 | 7 | |a Ingenieurwissenschaften |0 (DE-588)4137304-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Ingenieurwissenschaften |0 (DE-588)4137304-2 |D s |
| 689 | 0 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Mustoe, L. R. |e Verfasser |4 aut | |
| 700 | 1 | |a Walker, Dennis |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1809768296090697728 |
|---|---|
| adam_text |
CONTENTS
CHAPTER 0 OPEN LETTERS
CHAPTER 1 WHY MATHEMATICS? 1
1.1 Mathematical Models 1
1.2 Solutions to Mathematical Models 10
1.3 Algorithms and Flow Charts 15
1.4 2 + 2 = 3.99: Accuracy and Error 20
1.5 Build Up of Knowledge 26
Summary 27
Problems 28
CHAPTER 2 FUNCTIONS AND SETS 31
2.1 Number Systems and Inequalities 31
2.2 Relations and Functions 35
2.3 Standard Functions 45
2.4 The Hyperbolic Functions 50
2.5 Tabulation of Functions 56
Problems 62
CHAPTER 3 ELEMENTARY IDEAS ON LIMITS 67
Introduction 67
3.1 Sequences and Limits 70
3.2 Functions of a Discrete Variable Induction 76
3.3 Limits of Functions and Continuity 78
3.4 Rates of Change and Differentiation 83
3.5 Elementary Integration 89
Problems 97
CHAPTER 4 INTRODUCTION TO STATISTICAL METHODS 104
4.1 The Role of Statistics 104
4.2 Graphical Representation of Data 106
4.3 Frequency Distributions 108
4.4 Measures of Central Tendency 111
4.5 Measures of Variability 115
4.6 Random Samples 119
Problems 121
CHAPTERS SETS AND PROBABILITY 127
5.1 Sets and Venn Diagrams 127
5.2 Probability and Chance 133
(x)
5.3 Compound Events 136
5.4 Conditional Probability 137
Problems 145
CHAPTER 6 DISCRETE MATHEMATICS 150
6.1 Propositions and Prepositional Logic 150
6.2 Arguments and Proof, Logical Implication 158
6.3 Predicates and Predicate Logic 162
6.4 Boolean Algebra 164
6.5 Minimisation of Boolean Expressions 170
Problems 177
CHAPTER 7 GEOMETRY AND CURVES 181
7.1 Coordinate Geometry of the Plane 181
7.2 Inequalities Involving Two Variables 185
7.3 Tangents and Normals 187
7.4 Simple Ideas on Curve Sketching 188
7.5 Polar Coordinates 192
7.6 Parametric Representation of a Curve 196
7.7 An Introduction to Solid Geometry 199
Problems 202
CHAPTER 8 LINEAR ALGEBRA I VECTORS 206
8.1 Elementary Vector Algebra 206
8.2 Vectors in Cartesian Coordinates 211
8.3 Scalar Product 216
8.4 Vector Product 221
8.5 Products of Three Vectors 223
Problems 226
CHAPTER 9 LINEAR ALGEBRA II LINEAR EQUATIONS 232
9.1 Introduction 232
9.2 Gauss Elimination 235
9.3 Refinement of the Solution 241
9.4 Gauss Jordan Method 245
9.5 Iterative Methods 247
Problems 250
CHAPTER 10 LINEAR ALGEBRA III MATRICES 255
10.1 Matrix Algebra 255
10.2 Matrix Notation for Simultaneous Equations 260
10.3 Determinants 263
10.4 Inverse of a Matrix 270
10.5 Formal Evaluation of the Inverse of a Matrix 276
10.6 Geometrical Transformations 279
Problems 280
CHAPTER 11 COMPLEX NUMBERS 287
11.1 The Idea of a Complex Number 287
(xi)
11.2 Complex Arithmetic 290
11.3 De Moivre's Theorem and Complex Roots 292
11.4 Regions in the Complex Plane 297
11.5 Application Linear AC Circuits 299
Problems 301
CHAPTER 12 DIFFERENTIATION 307
12.1 Techniques of Differentiation 308
12.2 Maximum and Minimum Values of a Function 314
12.3 Higher Derivatives 317
12.4 Curvature 322
Problems 326
CHAPTER 13 NON LINEAR EQUATIONS 335
13.1 Location of Roots 336
13.2 Interval Reduction Methods 340
13.3 Fixed Point Iteration 345
13.4 Newton Raphson and Secant Methods 349
13.5 Polynomial Equations 355
Problems 361
CHAPTER 14 PARTIAL DIFFERENTIATION 366
14.1 Functions of Two Variables — Surfaces 366
14.2 Techniques of Partial Differentiation 367
14.3 Stationary Points on the Surface Representing/(x, v) 372
14.4 Small Increments and Differentials 374
Problems 381
CHAPTER 15 APPROXIMATION OF EXPERIMENTAL DATA 391
15.1 Least Squares Straight Line Fitting 391
15.2 Fitting Other Curves 395
15.3 Finite Differences and Interpolation 398
15.4 Other Interpolation Formulae 402
15.5 Numerical Differentiation 409
Problems 412
CHAPTER 16 APPROXIMATION OF FUNCTIONS 417
16.1 The Mean Value Theorem 417
16.2 Polynomial Approximations 420
16.3 Infinite Series 425
16.4 Representation of a Function by a Power Series: Maclaurin's Series 433
16.5 The Taylor Series 439
16.6 Applications of Taylor's Series 441
Problems 446
CHAPTER 17 TECHNIQUES OF INTEGRATION 454
17.1 Newton Cotes Formulae 456
17.2 Errors in the Newton Cotes Formulae 460
17.3 Composite Rules 463
(xii)
17.4 Analytical Methods of Integration 467
Problems 472
CHAPTER 18 APPLICATIONS OF DEFINITE INTEGRATION 481
18.1 Plane Areas and Volumes of Revolution 481
18.2 Length of Arc of a Plane Curve 484
18.3 Area of Surface of Revolution 486
18.4 Centroids 487
18.5 Moments of Inertia 490
18.6 Further Applications 493
Problems 495
CHAPTER 19 DISCRETE PROBABILITY MODELS 501
19.1 Probability Distributions 501
19.2 Mathematical Expectation 502
19.3 The Binomial Distribution 505
19.4 The Poisson Distribution 510
Problems 515
CHAPTER 20 THE NORMAL DISTRIBUTION AND 521
SIGNIFICANCE TESTS
20.1 Continuous Probability Distributions 521
20.2 The Normal Distribution 525
20.3 Normal Approximation to Binomial Distribution 532
20.4 Sampling Distributions and Statistical Inference 534
20.5 Estimation from a Sample 540
20.6 Testing Statistical Hypotheses about the Population Mean 543
20.7 Other Tests of Significance 548
Problems 550
CHAPTER 21 ORDINARY DIFFERENTIAL EQUATIONS 559
GENERAL IDEAS
21.1 Case Study Newton's Law of Cooling 559
21.2 Classification and General Features 566
21.3 Graphical Solutions Isoclines 569
21.4 Introduction to Numerical Methods of Solution 572
Problems 578
CHAPTER 22 FIRST ORDER DIFFERENTIAL EQUATIONS 580
22.1 Variables Separable 580
22.2 Integrating Factor Method 583
22.3 Rocket Re Entry: A Case Study 590
22.4 General Form of Euler's Method 592
22.5 Taylor Series Method 598
22.6 Runge Kutta Methods 599
22.7 Comparison of Methods 606
Problems 607
(xiii)
CHAPTER 23 SECOND AND HIGHER ORDER DIFFERENTIAL 618
EQUATIONS
23.1 Case Study 618
23.2 Free Oscillations: Analytical Approach 621
23.3 Forced Vibrations: Complementary Function and Particular Integral 625
23.4 Particular Integral: Trial Solutions 627
23.5 Numerical Solutions of Initial Value Problems 632
23.6 Boundary Value Problems 636
Problems 637
CHAPTER 24 LAPLACE TRANSFORMS 646
24.1 The Laplace Transform 646
24.2 Further Transforms 650
24.3 Solution of Ordinary Differential Equations 653
24.4 Comparison of Methods of Solution 657
24.5 Simultaneous Ordinary Differential Equations 660
24.6 Further Forcing Terms 662
Problems 668
CHAPTER 25 EPILOGUE 672
APPENDIX 673
ANSWERS 679
INDEX 706 |
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| author | Bajpai, Avinash C. Mustoe, L. R. Walker, Dennis |
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| callnumber-subject | QA - Mathematics |
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| classification_tum | MAT 023f MAT 001f |
| ctrlnum | (OCoLC)611601916 (DE-599)BVBBV002416420 |
| dewey-full | 510/.2462 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.2462 |
| dewey-search | 510/.2462 |
| dewey-sort | 3510 42462 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-09-10T00:52:22Z |
| institution | BVB |
| isbn | 0471922838 |
| language | English |
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| spelling | Bajpai, Avinash C. Verfasser aut Engineering mathematics A. C. Bajpai ; L. R. Mustoe ; D. Walker 2. ed. Chichester [u.a.] Wiley 1989 XIII, 714 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathématiques de l'in génieur ram Mathématiques de l'ingénieur Engineering mathematics Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Mathematik (DE-588)4037944-9 s Ingenieurwissenschaften (DE-588)4137304-2 s 2\p DE-604 Mustoe, L. R. Verfasser aut Walker, Dennis Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001568209&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bajpai, Avinash C. Mustoe, L. R. Walker, Dennis Engineering mathematics Mathématiques de l'in génieur ram Mathématiques de l'ingénieur Engineering mathematics Ingenieurwissenschaften (DE-588)4137304-2 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4137304-2 (DE-588)4037944-9 (DE-588)4143389-0 |
| title | Engineering mathematics |
| title_auth | Engineering mathematics |
| title_exact_search | Engineering mathematics |
| title_full | Engineering mathematics A. C. Bajpai ; L. R. Mustoe ; D. Walker |
| title_fullStr | Engineering mathematics A. C. Bajpai ; L. R. Mustoe ; D. Walker |
| title_full_unstemmed | Engineering mathematics A. C. Bajpai ; L. R. Mustoe ; D. Walker |
| title_short | Engineering mathematics |
| title_sort | engineering mathematics |
| topic | Mathématiques de l'in génieur ram Mathématiques de l'ingénieur Engineering mathematics Ingenieurwissenschaften (DE-588)4137304-2 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathématiques de l'in génieur Mathématiques de l'ingénieur Engineering mathematics Ingenieurwissenschaften Mathematik Aufgabensammlung |
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