Calculus in the First Three Dimensions (First Edition, First) (Dover Books on Mathematics) (1ST ed.) (Spiral Bound)

Brief Description:
Originally published: New York: McGraw-Hill, 1967.

Table of Contents:
PrefacePart I: The Core of the Calculus1. The Definite Integral2. The Derivative3. Limits and Continuous Functions4. The Computation of Derivatives5. The Law of the Mean6. The Fundamental Theorem of Calculus7. Computing Antiderivatives8. Computing and Applying Definite Integrals over intervals9. Computing and Applying Difinite Integrals Over Plane and Solid SetsPartII: Topics in the Calculus10. The Higher Derivatives11. The Maximum and Minimum of a Function12. Series13. Taylor's Series14. Estimating the Definite Integral15. Further Applications of Partial Derivatives16. Algebra Operations on Vectors17. The Derivative of a Vector Function18. Cueve Integrals19. Green's Theorem in the Plane20. The Interchange of LimitsPart III: Further Applications of the Calculus21. Growth in the Natural World22. Business Management and Economics23. Psychology24. Traffic25. Rockets26. Gravity A: Analytic GeometryB: The Real NumbersC: FunctionsD: Summation NotationE: Length, Area, and VolumeF: Limits and Continuous Functions (Proofs)GL: Partial FractionsH: Short Tables of FunctionsIndex

Jacket Description/Back:

This introduction to calculus is designed for beginning college undergraduates majoring in mathematics as well as undergraduates pursuing other areas of science and engineering for whom calculus will be a vital tool.
The three-part treatment begins by exploring the core of the calculus, concentrating on three basic ideas: the definite integral, the derivative, and the fundamental theorem of calculus. Part Two takes up topics such as the maximum and minimum of a function, Taylor's series, partial derivatives, differentiation of vectors, and Green's theorem in the plane. Part Three, which contains no further mathematical development, applies the techniques developed earlier to significant problems in the natural, social, and physical sciences. Appendixes supplement the treatment, offering helpful information on the rudiments of analytic geometry, real numbers, and functions. Numerous examples and exercises appear throughout the text, and solutions to the problems are available as free downloads from the Dover website.
Dover (2016) republication of the edition originally published by McGraw-Hill, New York, 1967.
See every Dover book in print at
www.doverpublications.com