Engineering mathematics / John Bird.
Material type: TextPublication details: Amsterdam ; Boston : Newnes, 2007.Edition: 5th edDescription: x, 576 p. : ill. ; 27 cmISBN:- 0750685557 (pbk.)
- 9780750685559 (pbk.)
- 510.2462 BIR
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Enhanced descriptions from Syndetics:
'Engineering Nathematics' presents a logical topic progression, rather than following the structure of a particular syllabus. However, coverage of this edition has been carefully matched to the mathematics units within the 2007 BTEC national specifications.
Includes index.
Table of contents provided by Syndetics
- Number and Algebra
- Revision of fractions, decimals and percentages
- Indices, standard form and engineering notation
- Computer numbering systems
- Calculations and evaluation of formulae
- Algebra
- Further algebra
- Partial fractions
- Simple equations
- Simultaneous equations
- Transposition of formulae
- Quadratic equations
- Inequalities
- Logarithms
- Exponential functions
- Number sequences
- Binomial theorem
- Solving equations by iterative methods
- Mensuration:
- Areas of plane figures
- The circle and its properties
- Volumes and surface areas of common solids
- Irregular areas and volumes and mean values of waveforms
- Trigonometry:
- Introduction to trigonometry
- Trigonometric waveforms
- Cartesian and polar co-ordinates
- Triangles and some practical applications
- Trigonometric identities and equations
- Compound angles
- Graphs:
- Straight line graphs Reduction of non-linear laws to linear form
- Graphs with logarithmic scales
- Graphical solution of equations
- Functions and their curves
- Vectors:
- Vectors
- Combination of waveforms
- Complex numbers:
- Complex numbers
- De Moivres theorem
- Statistics:
- Presentation of statistical data
- Measures of central tendency and dispersion
- Probability
- The binomial and Poisson distributions
- The normal distribution
- Differential calculus:
- Introduction to differentiation
- Methods of differentiation
- Some applications of differentiation
- Differentiation of parametric equations
- Differentiation of implicit functions
- Logarithmic differentiation
- Integral calculus:
- Standard integration
- Integration using algebraic substitutions
- Integration using trigonometric substitutions
- Integration using partial fractions
- The t = tan substitution
- Integration by parts
- Numerical integration
- Areas under and between curves
- Mean and root mean square values
- Volumes of solids of revolution
- Centroids of simple shapes
- Second moments of area
- Further number and algebra:
- Boolean algebra and logic circuits
- The theory of matrices and determinants
- The solution of simultaneous equations by matrices and determinants
- Differential equations:
- Introduction to differential equations
- Index