Engineering MathematicsA groundbreaking and comprehensive reference with over 500,000 copies sold since it first debuted in 1970, the new fifth edition of Engineering Mathematics has been thoroughly revised and expanded. For the first time, a Personal Tutor CD-ROM is included with every book. Providing a broad mathematical survey, this innovative volume covers a full range of topics from the very basic to the advanced. Whether you're an engineer looking for a useful on-the-job reference or want to improve your mathematical skills, or you are a student who needs an in-depth self-study guide, Engineering Mathematics is sure to come in handy time and time again.
Extra Bonus! Visit Personal Tutor Online at www.palgrave.com/stroud, the companion website maintained by this book's British publisher, where you'll find hundreds of interactive practice questions and engineering applications questions - putting the mathematics in context. |
Contents
Programme F 1 Arithmetic | 3 |
Change of base Denary to binary octal and duodecimal Use of octals | 63 |
Further problems F 1 | 69 |
Revision summary | 82 |
Division of one expression by another | 99 |
Revision summary | 112 |
Programme F 3 Expressions and equations | 119 |
Factorization of quartic polynomials | 140 |
Revision exercise | 610 |
Fractions Division of integers Multiplying fractions Of Equivalent | 618 |
Tangents and normals to a curve at a given point | 624 |
Can You? Checklist 8 | 639 |
Derivatives of inverse hyperbolic functions | 647 |
Can You? Checklist 9 | 663 |
Revision exercise | 680 |
Rateofchange problems | 695 |
Revision summary | 143 |
Programme F 4 Graphs | 149 |
Revision summary | 158 |
Revision summary | 170 |
Programme F 5 Linear equations and simultaneous | 177 |
Simultaneous linear equations with three unknowns | 185 |
Revision exercise | 191 |
Programme F 6 Polynomial equations | 197 |
Solution of cubic equations having at least one linear factor | 205 |
Revision summary | 213 |
Programme F 7 Partial fractions | 219 |
Revision summary | 227 |
Revision summary | 237 |
Angles Rotation Radians Triangles Trigonometric ratios Reciprocal | 243 |
Revision summary | 256 |
Trigonometric formulas Sums and differences of angles Double | 263 |
Programme F 9 Binomial series | 269 |
Quiz F 1 | 270 |
Revision summary | 278 |
Revision summary | 284 |
The exponential number e | 292 |
Programme F 10 Differentiation | 299 |
Algebraic determination of the gradient of a curve | 306 |
Derivatives an alternative notation | 313 |
Differentiation of products of functions | 319 |
Revision summary | 328 |
Quiz F 11 | 334 |
Functions of a linear function of x | 340 |
Revision exercise | 346 |
Integration as a summation The area between a curve and an | 352 |
Revision summary | 359 |
Further problems F 11 | 365 |
Programme F 12 Functions | 367 |
Revision summary | 381 |
Revision summary | 400 |
Can You? Checklist F 12 | 413 |
Revision exercise | 427 |
Exponential form of a complex number | 440 |
Revision exercise | 455 |
Loci problems | 467 |
Further problems 2 | 473 |
Graphs of hyperbolic functions | 479 |
Inverse hyperbolic functions | 486 |
Relationship between trigonometric and hyperbolic functions | 494 |
Determinants | 501 |
Determinants of the third order Evaluation of a thirdorder | 509 |
Revision exercise | 516 |
Consistency of a set of equations | 522 |
Can You? Checklist 4 | 531 |
Factors and prime numbers Factors Prime numbers Prime | 538 |
Special matrices | 544 |
Solution of a set of linear equations Gaussian elimination method | 552 |
Eigenvalues and eigenvectors Eigenvectors | 558 |
Revision summary | 563 |
Revision summary | 564 |
Can You? Checklist 5 | 565 |
Vectors in space | 583 |
Test exercise 6 | 596 |
Curves and curve fitting | 709 |
Systematic curve sketching given the equation of the curve | 724 |
Revision summary | 742 |
Series of powers of the natural numbers | 755 |
Convergent and divergent series | 761 |
Series in general Absolute convergence | 768 |
Series 2 | 775 |
Standard series | 783 |
Limiting values indeterminate forms | 789 |
Can You? Checklist 14 | 799 |
Functions of a linear function of x | 807 |
Revision exercise | 813 |
Integration of products integration by parts | 814 |
Integration of trigonometrical functions | 825 |
Further problems 15 | 831 |
Can You? Checklist 16 | 862 |
Can You? Checklist 17 | 876 |
Integration applications 1 | 881 |
Root mean square rms values | 894 |
Revision summary | 896 |
Centre of gravity of a solid of revolution | 910 |
Further problems 19 | 923 |
Perpendicular axes theorem for thin plates | 939 |
Depth of centre of pressure | 952 |
Proof of Simpsons rule | 976 |
Polar coordinates systems | 981 |
Revision summary | 1001 |
Double integrals | 1009 |
Revision exercise | 1017 |
Determination of volumes by multiple integrals | 1024 |
Firstorder differential equations | 1031 |
Revision exercise | 1042 |
Revision exercise | 1049 |
Revision exercise | 1059 |
Revision summary | 1065 |
Revision summary | 1066 |
Revision exercise | 1080 |
Number systems Denary Binary Octal Duodecimal Hexadecimal | 1092 |
Introduction to Laplace transforms | 1097 |
Two properties of Laplace transforms | 1103 |
Laplace transforms of higher derivatives | 1109 |
Can You? Checklist 26 | 1115 |
Histograms Frequency histogram Relative frequency histogram | 1128 |
Revision exercise | 1129 |
Coding with a grouped frequency distribution | 1134 |
Frequency polygons | 1142 |
Can You? Checklist 27 | 1149 |
Probability | 1155 |
Classical probability | 1162 |
Conditional probability | 1168 |
Permutations and combinations | 1174 |
Mean and standard deviation of a probability distribution | 1181 |
Continuous probability distributions Normal distribution curve | 1187 |
Revision summary | 1194 |
Answers | 1200 |
Further problems F 9 296 | 1208 |
| 1229 | |
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Common terms and phrases
angle Argand diagram asymptotes axis binomial expansion calculator check your results coefficients column completing the square complex number constant Convert cos² cosh cosine curvature curve d²y d2y dx2 decimal denominator derivative determine diagram differentiate dx dx dx dy dy dx Evaluate example factor of f(x Find the value formula function given gives gradient graph hexadecimal integral inverse l'Hôpital's rule Learning outcomes Lim x-0 linear loga matrix multiply natural numbers negative octal parametric equations partial fractions Pascal's triangle point of inflexion polar form polynomial powers quadratic radians radius Revision exercise Revision summary sec² side simple factors Simpson's rule sin x sin² sinh Solve square standard form substitute subtraction tangent Test exercise triangle trigonometric variable vector x-axis y-axis zero δι дг ду