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Higher engineering mathematics

Author: J O Bird
Publisher: Amsterdam ; Boston : Newnes, 2010.
Edition/Format:   Print book : English : 6th edView all editions and formats
Summary:
John Bird's approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds. This edition has been extended with new topics to maximise the book's applicability for first year engineering degree students, and those following Foundation Degrees.
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Genre/Form: Problems and exercises
Problems, exercises, etc
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: J O Bird
ISBN: 9781856177672 185617767X
OCLC Number: 477290750
Notes: Previous edition: 2006.
Includes index.
Description: xvii, 679 pages : illustrations ; 28 cm
Contents: Algebra --
Partial fractions --
Logarithms --
Exponential functions --
Hyperbolic functions --
Arithmetic and geometric progressions --
The binomial series --
Maclaurin's series --
Solving equations by iterative methods --
Binary, octal and hexadecimal --
Introduction to trigonometry --
Cartesian and polar co-ordinates --
The circle and its properties --
Trigonometric waveforms --
Trigonometric identities and equations --
The relationship between trigonometgric and hyperbolic functions --
Compound angles --
Functions and their curves --
Irregular areas, volumes and mean values of waveforms --
Complex numbers --
De Moivre's theorem --
The theory of matrices and determinants --
The solution of simultaneous equations by matrices and determinants --
Vectors --
Methods of adding alternating waveforms --
Scalar and vector products --
Methods of differentiation --
Some applications of differentiation --
Differentiation of parametric equations --
Differentiation of implicit functions --
Logarithmmic differentiation --
Differentiation of hyperbolic functions --
Differentiation of inverse trigonometric and hyperbolic functions --
Partial differentiation --
Total differential, rates of change and small changes --
Maxima, minima and saddle points for functions of two variables --
Standard integration --
Some applications of integration --
Integration using algebraic substitutions --
Integration using trigonometric and hyperbolic substitutions --
Integration using partial fractions --
The t=tan 0-2 substitution --
Integration by parts --
Reduction formulae --
Numerical integration --
Solution of first order differential equations by separation of variables --
Homogeneoujs first order differential equations --
Linear first order differential equations --
Numerical methods for first order differential equations --
Second order differential equations of the form --
Second order differential equations of the form --
Power series methods of solving ordinary differential equations --
An introduction to partial differential equations --
Presentation of statistical data --
Measures of central tendency and dispersion --
Probability --
The binomial and poisson distributions --
The normal distribution --
Linear correlation --
Linear regression --
Introduction to laplace transforms --
Properties of laplace transforms --
Inverse laplace transforms --
The solution of differential equations using laplace transforms --
The solutionof simultaneous differential equations using laplace transforms --
Fourier series for periodic functions of period 2 --
Fourier series for non-periodic function over range 2 --
Even and odd functions and half-range fourier series --
Fourier series over any range --
A numerical method of harmonic analysis --
The complex or exponential form of a fourier series --
Essential formulae --
Index.
Responsibility: John Bird.

Abstract:

Explains basic mathematical theories, supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. Introducing higher mathematical  Read more...

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