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Engineering mathematics:

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Bibliographische Detailangaben
Beteiligte Personen:	Bajpai, Avinash C. (VerfasserIn), Mustoe, L. R. (VerfasserIn), Walker, Dennis (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Chichester [u.a.] Wiley 1989
Ausgabe:	2. ed.
Schlagwörter:	Mathématiques de l'in génieur Mathématiques de l'ingénieur Engineering mathematics Ingenieurwissenschaften Mathematik Aufgabensammlung
Links:	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
Umfang:	XIII, 714 S. Ill., graph. Darst.
ISBN:	0471922838

Internformat

MARC


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Datensatz im Suchindex

DE-BY-TUM_call_number	0002 MAT 023f 89 A 3517
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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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isbn	0471922838
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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
url	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
work_keys_str_mv	AT bajpaiavinashc engineeringmathematics AT mustoelr engineeringmathematics AT walkerdennis engineeringmathematics

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