ABSTRACT

First published in 1992, Essentials of Engineering Mathematics is a widely popular reference ideal for self-study, review, and fast answers to specific questions. While retaining the style and content that made the first edition so successful, the second edition provides even more examples, new material, and most importantly, an introduction to usi

chapter |5 pages

Section 2 Function, domain and range

chapter |18 pages

Section 3 Basic coordinate geometry

chapter |5 pages

Section 4 Polar coordinates

chapter |4 pages

Section 5 Mathematical induction

chapter |6 pages

Section 6 Binomial theorem

chapter |5 pages

Section 7 Combination of functions

chapter |6 pages

Section 9 Inverse functions

chapter |6 pages

Section 11 Geometry of complex numbers

chapter |5 pages

Section 13 Roots of complex numbers

chapter |9 pages

Section 14 Limits

chapter |8 pages

Section 15 One-sided limits: continuity

chapter |14 pages

Section 16 Derivatives

chapter |5 pages

Section 17 Leibniz’s formula

chapter |5 pages

Section 18 Differentials

chapter |3 pages

Section 20 Implicit differentiation

chapter |8 pages

Section 22 The exponential function

chapter |8 pages

Section 23 The logarithmic function

chapter |5 pages

Section 24 Hyperbolic functions

chapter |5 pages

Section 25 Inverse hyperbolic functions

chapter |6 pages

Section 27 Functions of two variables

chapter |13 pages

Section 29 Partial differentiation

chapter |7 pages

Section 30 The total differential

chapter |6 pages

Section 31 The chain rule

chapter |13 pages

Section 34 Integration by substitution

chapter |4 pages

Section 35 Some useful standard forms

chapter |11 pages

Section 36 Integration by parts

chapter |8 pages

Section 38 The definite integral

chapter |6 pages

Section 40 Improper integrals

chapter |7 pages

Section 41 Numerical integration

chapter |3 pages

Section 45 Moments of inertia

chapter |3 pages

Section 46 Sequences

chapter |20 pages

Section 47 Infinite numerical series

chapter |8 pages

Section 48 Power series

chapter |21 pages

Section 49 Taylor and Maclaurin series

chapter |19 pages

Section 51 Fourier series

chapter |15 pages

Section 52 Determinants

chapter |11 pages

Section 54 Matrix multiplication

chapter |7 pages

Section 55 The inverse matrix

chapter |8 pages

Section 60 Vectors in component form

chapter |4 pages

Section 61 The straight line

chapter |5 pages

Section 63 The plane

chapter |5 pages

Section 73 Exact differential equations

part |2 pages

Section 82 The Laplace transform of derivatives