Engineering mathematics
著者
書誌事項
Engineering mathematics
Heinemann Newnes, 1989
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内容説明・目次
内容説明
The aim of this text is to develop the undergraduate student's use of mathematics appropriate for entry to an engineering degree course. Illustrated with exercises and worked problems, the book has been devised primarily as an option in courses leading to a BTEC National Diploma in Engineering.
目次
- Exponential functions and Napierian logarithms
- complex numbers - Cartesian complex numbers, the Argand diagram, De Moivre's theorem
- polar co-ordinates
- partial fractions
- the binomial theorem - Pascal's triangle
- arithmetical and geometric progressions
- the theory of matrices and determinants
- the solution of simultaneous equations by matrices and determinants
- the solution of triangles and their areas
- the solution of three-dimensional triangulation problems
- graphs of sine and cosine functions
- combining periodic waveforms
- compound angles
- vectors, vector addition and subtraction and vector products
- differentiation from first principles
- methods of differentiation
- applications of differentiation
- introduction to integration
- integration using substitutions and partial fractions
- integration by parts
- numerical integration - Simpson's rule
- areas under and between curves
- mean and root mean square values
- volumes of solids of revolution
- centroids of simple shapes - theorem of Pappus
- second moments of areas of regular sections
- introduction to differential equations
- solution of first order differential equations by separation of variables.
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