ABSTRACT

John Bird’s approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student’s own pace. Basic mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, foundation degrees, and HNC/D units.

Now in its sixth edition, Higher Engineering Mathematics is an established textbook that has helped many thousands of students to gain exam success. It has been updated to maximise the book’s suitability for first year engineering degree students and those following foundation degrees. This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel. As such it includes the core unit, Analytical Methods for Engineers, and two specialist units, Further Analytical Methods for Engineers and Engineering Mathematics, both of which are common to the electrical/electronic engineering and mechanical engineering pathways. For ease of reference a mapping grid is included that shows precisely which topics are required for the learning outcomes of each unit.

The book is supported by a suite of free web downloads:
• Introductory-level algebra: To enable students to revise the basic algebra needed for engineering courses – available at https://books.elsevier.com/companions/XXXXXXXXX
• Instructor's Manual: Featuring full worked solutions and mark schemes for all of the assignments in the book and the remedial algebra assignment – available at https://www.textbooks.elsevier.com (for lecturers only)
• Extensive Solutions Manual: 640 pages featuring worked solutions for 1,000 of the further problems and exercises in the book – available on https://www.textbooks.elsevier.com (for lecturers only)

chapter |12 pages

Algebra

chapter |7 pages

Partial fractions

chapter |7 pages

Logarithms

chapter |14 pages

Exponential functions

chapter |10 pages

Hyperbolic functions

chapter |7 pages

Arithmetic and geometric progressions

chapter |10 pages

The binomial series

chapter |9 pages

Maclaurin’s series

chapter |10 pages

Solving equations by iterative methods

chapter |10 pages

Binary, octal and hexadecimal

chapter |20 pages

Introduction to trigonometry

chapter |5 pages

Cartesian and polar co-ordinates

chapter |12 pages

The circle and its properties

chapter |18 pages

Trigonometric waveforms

chapter |7 pages

Trigonometric identities and equations

chapter |15 pages

Compound angles

chapter |25 pages

Functions and their curves

chapter |12 pages

Complex numbers

chapter |6 pages

De Moivre’s theorem

chapter |10 pages

The theory of matrices and determinants

chapter |14 pages

Vectors

chapter |10 pages

Methods of adding alternating waveforms

chapter |12 pages

Scalar and vector products

chapter |12 pages

Methods of differentiation

chapter |16 pages

Some applications of differentiation

chapter |5 pages

Differentiation of parametric equations

chapter |5 pages

Differentiation of implicit functions

chapter |6 pages

Logarithmic Differentiation

chapter |3 pages

Differentiation of hyperbolic functions

chapter |6 pages

Partial differentiation

chapter |7 pages

Standard integration

chapter |17 pages

Some applications of integration

chapter |5 pages

Integration using partial fractions

chapter |6 pages

The t = tan substitution

chapter |6 pages

Integration by parts

chapter |9 pages

Reduction formulae

chapter |9 pages

Numerical integration

chapter |16 pages

Second order differential equations of the form

+cy=0

chapter |12 pages

Presentation of statistical data

chapter |8 pages

Probability

chapter |6 pages

The binomial and Poisson distributions

chapter |8 pages

The normal distribution

chapter |5 pages

Linear correlation

chapter |7 pages

Linear regression

chapter |5 pages

Introduction to Laplace transforms

chapter |6 pages

Properties of Laplace transforms

chapter |7 pages

Inverse Laplace transforms

chapter 4|7 pages

ier series over any range

chapter |7 pages

A numerical method of harmonic analysis