Early engineering mathematics
著者
書誌事項
Early engineering mathematics
Newnes, 1995
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注記
Includes index
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内容説明・目次
内容説明
This book introduces and consolidates basic mathematical principles and promotes awareness of mathematical concepts for students needing a broad basis for further vocational work. It specifically covers the mathematics content of the intermediate and advanced GNVQ in Engineering. Each topic is presented in a way that assumes little previous knowledge. Theory is introduced in each chapter by a brief outline of essential definitions, formulae, laws, procedures and so on, but is kept to a minimum. Problem-solving is used extensively to establish and exemplify the theory. Over 500 worked problems and 900 further questions enhance the understanding of the theory. Wherever possible, the problems mirror practical situations found in engineering and science.
目次
- Revision of basic arithmetic
- indices and standard form
- calculations
- introduction to algebra
- simple equations
- simultaneous equations
- evaluation and transposition of formulae
- quadratic equations
- exponential functions and Naperian logarithms
- straight line graphs
- reduction of non-linear laws to linear form
- graphs with logarithmic scales
- graphical solution of equations
- geometry
- areas and volumes
- irregular areas and volumes and mean values of waveforms
- centroids of simple shapes
- further areas and volumes
- an introduction to trigonometry
- the solution of triangles and their areas
- trigonometric graphs and the combination of waveforms
- trigonometric identities and the solution of equations
- polar co-ordinates
- vectors
- presentation of statistical data
- measures of central tendency and dispersion
- an introduction to normal distribution curves
- probability
- introduction to differentiation
- introduction to integration.
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