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 CDROM 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 onthejob reference or want to improve your mathematical skills, or you are a student who needs an indepth selfstudy 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. 
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Contents
Programme F 1 Arithmetic  3 
Revision summary  18 
Revision summary  35 
Revision summary  49 
Change of base Denary to binary octal and duodecimal Use of octals  60 
Revision summary  66 
Programme F 2 Introduction to algebra  73 
Revision summary  82 
Solution of a set of linear equations Gaussian elimination method  552 
Eigenvalues and eigenvectors Eigenvectors  558 
Revision summary  564 
Can You? Checklist 5  565 
Vectors in space  583 
Test exercise 6  596 
Revision exercise  610 
Tangents and normals to a curve at a given point  624 
Revision summary  93 
Division of one expression by another  99 
Revision summary  112 
Programme F 3 Expressions and equations  119 
Revision summary  130 
Factorization of quartic polynomials  140 
Programme F 4 Graphs  149 
Revision summary  158 
Revision summary  170 
Programme F 5 Linear equations and simultaneous m  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 
Revision summary  278 
Revision summary  284 
The exponential number e  292 
Programme F 10 Differentiati  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 ll  334 
Functions of a linear function of x  340 
Revision summary  346 
Integration as a summation The area between a curve and an  352 
Revision summary  359 
Further problems F ll  365 
Programme F 12 Functions  367 
Revision summary  381 
Trigonometric functions Rotation The tangent Period Amplitude  387 
Revision summary  400 
Odd and even functions Odd and even parts Odd and even parts of  407 
Can You? Checklist F 12  413 
Complex numbers  419 
Revision exercise  427 
Graphical addition of complex numbers  434 
Exponential form of a complex number  440 
Learning outcomes  447 
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 
Matrix notation  538 
Special matrices  544 
Can You? Checklist 8  639 
Derivatives of inverse hyperbolic functions  647 
Can You? Checklist 9  663 
Revision exercise  680 
Rateofchange problems  695 
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 v  807 
Integration of products integration by parts  814 
Integration of trigonometrical functions  825 
Further problems 15  831 
Can You? Checklist 16  861 
Can You? Checklist 17  876 
Integration applications 1  881 
Root mean square rms values  894 
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  1066 
Revision exercise  1080 
Revision summary  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 
Coding with a grouped frequency distribution  1134 
Frequency polygons  1142 
Can You? Checklist 27  1149 
Learning outcomes  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
algebraic fraction angle Argand diagram asymptotes axis binomial expansion calculator centre check your results Checklist coefficients column completing the square complex number constant Convert cos2 cosh cosine curvature curve decimal definite integral denominator derivative determine diagram differentiate dx dy dy dx Evaluate example Find the value finished formula function given gives gradient graph hexadecimal hyperbolic identity integral inverse Learning outcomes loga logarithms matrix move to Frame multiply natural numbers negative obtain octal parametric equations partial fractions Pascal's triangle plot point of inflexion polar form polynomial powers quadratic radians radius radius of gyration ratios Revision exercise Revision summary roots rule sec2 side simple factors Simpson's rule sin2 sinh sinhx sinx solution Solve square standard form straight line substitute subtraction tangent tanh Test exercise triangle trigonometric variable vector xaxis yaxis zero