Calculus
著者
書誌事項
Calculus
（Teach yourself books）
[Hodder & Stoughton], c2003
- : pbk
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内容説明・目次
内容説明
"Teach Yourself Calculus" gives a comprehensive coverage of the subject and is suitable for those studying pure and applied mathematics, engineering and allied sciences. It gives you the essential mathematical background to understand and apply the calculus required in these areas. Ideal for beginners, "Teach Yourself Calculus" provides a carefully graded series of lessons which introduce the basic concepts of differentiation and integration. Each chapter includes many clearly worked examples, diagrams and exercises with full answers.
目次
- Functions
- variations in functions - limits
- gradient
- rate of change
- differentiation
- some rules for differentiation
- maxima, minima and points of inflexion
- differentiating the trigonometric functions
- exponential and logarithmic functions
- hyperbolic functions
- integration - standard integrals
- methods of integration
- integration of algebraic fractions
- areas and definite integrals
- the integral as a sum - areas
- approximate integration
- volumes of revolution
- lengths of curves
- Taylor's and Maclaurin's series
- differential equations
- applications of differential equations.
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