Screen LibraryModern engineering mathematics /
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| Main Authors: | |
|---|---|
| Published: |
Pearson Education Limited,
|
| Publisher Address: | Harlow, United Kingdom : |
| Publication Dates: | 2015. |
| Literature type: | Book |
| Language: | English |
| Edition: | Fifth edition. |
| Series: |
Always learning
|
| Subjects: | |
| Item Description: | Includes index. |
| Carrier Form: | xxv, 1125 pages : illustrations ; 25 cm. |
| ISBN: |
9781292080734 1292080736 |
| Index Number: | TA330 |
| CLC: | TB11 |
| Call Number: | TB11/M689/5th ed. |
| Contents: |
Cover ; Contents; Preface; About the Authors; 1 Number, Algebra and Geometry; 1.1 Introduction; 1.2 Number and arithmetic; 1.2.1 Number line; 1.2.2 Representation of numbers; 1.2.3 Rules of arithmetic; 1.2.4 Exercises; 1.2.5 Inequalities; 1.2.6 Modulus and intervals; 1.2.7 Exercises; 1.3 Algebra; 1.3.1 Algebraic manipulation; 1.3.2 Exercises; 1.3.3 Equations, inequalities and identities; 1.3.4 Exercises; 1.3.5 Suffix and sigma notation; 1.3.6 Factorial notation and the binomial expansion; 1.3.7 Exercises; 1.4 Geometry; 1.4.1 Coordinates; 1.4.2 Straight lines; 1.4.3 Circles; 1.4.4 Exercises. 1.4.5 Conics1.4.6 Exercises; 1.5 Number and accuracy; 1.5.1 Rounding, decimal places and significant figures; 1.5.2 Estimating the effect of rounding errors; 1.5.3 Exercises; 1.5.4 Computer arithmetic; 1.5.5 Exercises; 1.6 Engineering applications; 1.7 Review exercises (1-25); 2 Functions; 2.1 Introduction; 2.2 Basic definitions; 2.2.1 Concept of a function; 2.2.2 Exercises; 2.2.3 Inverse functions; 2.2.4 Composite functions; 2.2.5 Exercises; 2.2.6 Odd, even and periodic functions; 2.2.7 Exercises; 2.3 Linear and quadratic functions; 2.3.1 Linear functions. 2.3.2 Least squares fit of a linear function to experimental data2.3.3 Exercises; 2.3.4 The quadratic function; 2.3.5 Exercises; 2.4 Polynomial functions; 2.4.1 Basic properties; 2.4.2 Factorization; 2.4.3 Nested multiplication and synthetic division; 2.4.4 Roots of polynomial equations; 2.4.5 Exercises; 2.5 Rational functions; 2.5.1 Partial fractions; 2.5.2 Exercises; 2.5.3 Asymptotes; 2.5.4 Parametric representation; 2.5.5 Exercises; 2.6 Circular functions; 2.6.1 Trigonometric ratios; 2.6.2 Exercises; 2.6.3 Circular functions; 2.6.4 Trigonometric identities; 2.6.5 Amplitude and phase. 2.6.6 Exercises2.6.7 Inverse circular (trigonometric) functions; 2.6.8 Polar coordinates; 2.6.9 Exercises; 2.7 Exponential, logarithmic and hyperbolic functions; 2.7.1 Exponential functions; 2.7.2 Logarithmic functions; 2.7.3 Exercises; 2.7.4 Hyperbolic functions; 2.7.5 Inverse hyperbolic functions; 2.7.6 Exercises; 2.8 Irrational functions; 2.8.1 Algebraic functions; 2.8.2 Implicit functions; 2.8.3 Piecewise defined functions; 2.8.4 Exercises; 2.9 Numerical evaluation of functions; 2.9.1 Tabulated functions and interpolation; 2.9.2 Exercises; 2.10 Engineering application: a design problem. 2.11 Engineering application: an optimization problem2.12 Review exercises (1-23); 3 Complex Numbers; 3.1 Introduction; 3.2 Properties; 3.2.1 The Argand diagram; 3.2.2 The arithmetic of complex numbers; 3.2.3 Complex conjugate; 3.2.4 Modulus and argument; 3.2.5 Exercises; 3.2.6 Polar form of a complex number; 3.2.7 Euler's formula; 3.2.8 Exercises; 3.2.9 Relationship between circular and hyperbolic functions; 3.2.10 Logarithm of a complex number; 3.2.11 Exercises; 3.3 Powers of complex numbers; 3.3.1 De Moivre's theorem; 3.3.2 Powers of trigonometric functions and multiple angles. |