Calculus
著者
書誌事項
Calculus
Wiley, c1988
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注記
Includes index
内容説明・目次
内容説明
This book gives a clear presentation of calculus with applications to engineering and the sciences. Emphasis is placed on the methods and applications of the calculus with some coverage of relevant theory, including functions, limits, continuity, differentiation, integrations in higher dimensions, and line and surface integrals. Particular attention is paid to those aspects of calculus that are important in developing effective problem solving methods - often involving estimating errors or constructing numerical approximations. The material is well-organized and comprehensive and features many applications. This book provides more thorough treatment of some major topics than most texts, such as: comparison tests for improper integrals; use of power series representations for functions; and the relation between linear approximations and differentiation. Other topics covered include elementary transcendental functions, infinite series, Taylor's approximation, polar coordinates, and vectors and three dimensional geometry.
目次
- Functions
- Limits and Continuous Functions
- The Derivative
- Application of the Derivative
- Some Geometrical Topics
- The Integral
- Applications of the Integral
- Elementary Transcendental Functions
- Methods of Integration
- First Order Differential Equations
- Indeterminate Forms, L'Hospital's Rule and Improper Integrals
- Infinite Series
- Taylor's Approximation and Power Series
- Polar Coordinates
- Vectors and Three Dimensional Analytic Geometry
- Differentiation of Functions of Several Variables
- Multiple Integrals
- Line and Surface Integrals.
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