Calculus : one and several variables, with analytic geometry
著者
書誌事項
Calculus : one and several variables, with analytic geometry
Wiley, c1986
5th ed
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注記
Includes index
内容説明・目次
内容説明
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.
目次
- 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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