- Modern Engineering Mathematics
CID:
- 151648
Authors:
- James, G.
- Dyke, Phil
Edition:
- 6th ed.
Publication Date:
- 2020
Publisher:
- Pearson
Place of Publication:
- Harlow
ISBN:
- 9781292253534
Subjects:
- Mathematics
Notes:
- (CON) Front Cover -- Half Title Page -- Title Page -- Copyright Page -- Contents -- Preface -- About the authors -- Chapter 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 (1-9) -- 1.2.5 Inequalities -- 1.2.6 Modulus and intervals -- 1.2.7 Exercises (10-14) -- 1.3 Algebra -- 1.3.1 Algebraic manipulation -- 1.3.2 Exercises (15-20) -- 1.3.3 Equations, inequalities and identities -- 1.3.4 Exercises (21-32) -- 1.3.5 Suffi¨x and sigma notation; 1.3.6 Factorial notation and the binomial expansion -- 1.3.7 Exercises (33-35) -- 1.4 Geometry -- 1.4.1 Coordinates -- 1.4.2 Straight lines -- 1.4.3 Circles -- 1.4.4 Exercises (36-43) -- 1.4.5 Conics -- 1.4.6 Exercises (44-46) -- 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 (47-56) -- 1.5.4 Computer arithmetic -- 1.5.5 Exercises (57-59) -- 1.6 Engineering applications -- 1.7 Review exercises (1-25) -- Chapter 2 Functions -- 2.1 Introduction -- 2.2 Basic definitions; 2.2.1 Concept of a function -- 2.2.2 Exercises (1-6) -- 2.2.3 Inverse functions -- 2.2.4 Composite functions -- 2.2.5 Exercises (7-13) -- 2.2.6 Odd, even and periodic functions -- 2.2.7 Exercises (14-16) -- 2.3 Linear and quadratic functions -- 2.3.1 Linear functions -- 2.3.2 Least squares fit of a linear function to experimental data -- 2.3.3 Exercises (17-23) -- 2.3.4 The quadratic function -- 2.3.5 Exercises (24-29) -- 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 (30-38) -- 2.5 Rational functions -- 2.5.1 Partial fractions -- 2.5.2 Exercises (39-42) -- 2.5.3 Asymptotes -- 2.5.4 Parametric representation -- 2.5.5 Exercises (43-47) -- 2.6 Circular functions -- 2.6.1 Trigonometric ratios -- 2.6.2 Exercises (48-54) -- 2.6.3 Circular functions -- 2.6.4 Trigonometric identities -- 2.6.5 Amplitude and phase -- 2.6.6 Exercises (55-66) -- 2.6.7 Inverse circular (trigonometric) functions -- 2.6.8 Polar coordinates -- 2.6.9 Exercises (67-71) -- 2.7 Exponential, logarithmic and hyperbolic functions -- 2.7.1 Exponential functions; 2.7.2 Logarithmic functions -- 2.7.3 Exercises (72-80) -- 2.7.4 Hyperbolic functions -- 2.7.5 Inverse hyperbolic functions -- 2.7.6 Exercises (81-88) -- 2.8 Irrational functions -- 2.8.1 Algebraic functions -- 2.8.2 Implicit functions -- 2.8.3 Piecewise defined functions -- 2.8.4 Exercises (89-98) -- 2.9 Numerical evaluation of functions -- 2.9.1 Tabulated functions and interpolation -- 2.9.2 Exercises (99-104) -- 2.10 Engineering application: a design problem -- 2.11 Engineering application: an optimization problem -- 2.12 Review exercises (1-23) -- Chapter 3 Complex Numbers -- 3.1 Introduction
Publication Date Information:
- 2020
Record Type:
- E-Book