Calculus : one and several variables, with analytic geometry
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Bibliographic Information
Calculus : one and several variables, with analytic geometry
Wiley, c1986
5th ed
- pt. 1
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Includes indexes
Description and Table of Contents
Description
A revised and updated presentation of calculus with applications to engineering and the sciences. Changes include an early treatment of the calculus of the trigonometric functions, an increased use of Riemann definition of the integral, the introduction of several numerical techniques, an early chapter on mathematical modeling, expanded and balanced exercise sets, suggested procedures for problem solving, revised proofs, and additional examples. Chapter 13 is contained in both Part I and Part II.
Table of Contents
- Introduction
- Limits and Continuity
- Differentiation
- The Mean-Value Theorem and Applications
- Integration
- Some Applications of the Integral
- The Transcendental Functions
- An Introduction to Differential Equations
- Techniques of Integration
- The Conic Sections
- Polar Coordinates
- Parametric Equations
- Sequences
- Indeterminate Forms
- Improper Integrals
- Infinite Series
- Vectors
- Vector Calculus
- Functions of Several Variables
- Gradients
- Extreme Values
- Differentials
- Double and Triple Integrals
- Line Integrals and Surface Integrals.
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