ABSTRACT

Now in its eighth edition, Higher Engineering Mathematics has helped thousands of students succeed in their exams. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced engineering mathematics that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper-level vocational courses and for undergraduate degree courses. It is also supported by a fully updated companion website with resources for both students and lecturers. It has full solutions to all 2,000 further questions contained in the 277 practice exercises.

section A|1 pages

Number and algebra

chapter 1|13 pages

Algebra

chapter 2|7 pages

Partial fractions

chapter 3|6 pages

Logarithms

chapter 4|14 pages

Exponential functions

chapter 5|7 pages

Inequalities

chapter 6|8 pages

Arithmetic and geometric progressions

chapter 7|10 pages

The binomial series

chapter 8|10 pages

Maclaurin’s series

chapter 9|11 pages

Solving equations by iterative methods

chapter 10|10 pages

Binary, octal and hexadecimal numbers

chapter 11|21 pages

Boolean algebra and logic circuits

section B|2 pages

Geometry and trigonometry

chapter 12|20 pages

Introduction to trigonometry

chapter 13|6 pages

Cartesian and polar co-ordinates

chapter 14|13 pages

The circle and its properties

chapter 15|18 pages

Trigonometric waveforms

chapter 16|10 pages

Hyperbolic functions

chapter 17|8 pages

Trigonometric identities and equations

chapter 19|15 pages

Compound angles

section C|2 pages

Graphs

chapter 20|22 pages

Functions and their curves

section D|2 pages

Complex numbers

chapter 22|13 pages

Complex numbers

chapter 23|9 pages

De Moivre's theorem

section E|2 pages

Matrices and determinants

chapter 24|10 pages

The theory of matrices and determinants

chapter 25|16 pages

Applications of matrices and determinants

section F|2 pages

Vector geometry

chapter 26|14 pages

Vectors

chapter 27|11 pages

Methods of adding alternating waveforms

chapter 28|13 pages

Scalar and vector products

section G|2 pages

Introduction to calculus

chapter 29|12 pages

Methods of differentiation

chapter 30|19 pages

Some applications of differentiation

chapter 31|7 pages

Standard integration

chapter 32|17 pages

Some applications of integration

chapter 33|11 pages

Introduction to differential equations

section H|2 pages

Further differential calculus

section I|2 pages

Further integral calculus

chapter 42|5 pages

Integration using algebraic substitutions

chapter 44|5 pages

Integration using partial fractions

chapter 45|6 pages

The t = tan θ 2 substitution

chapter 46|6 pages

Integration by parts

chapter 47|9 pages

Reduction formulae

chapter 48|5 pages

Double and triple integrals

chapter 49|11 pages

Numerical integration

section K|2 pages

Statistics and probability

chapter 57|12 pages

Presentation of statistical data

chapter 58|8 pages

Mean, median, mode and standard deviation

chapter 59|12 pages

Probability

chapter 60|7 pages

The binomial and Poisson distributions

chapter 61|8 pages

The normal distribution

chapter 62|5 pages

Linear correlation

chapter 63|7 pages

Linear regression

chapter 64|13 pages

Sampling and estimation theories

chapter 65|17 pages

Significance testing

chapter 66|25 pages

Chi-square and distribution-free tests

section L|2 pages

Laplace transforms

section M|2 pages

Fourier series

section N|2 pages

Z-Transforms

chapter 79|14 pages

An introduction to z-transforms