Simmons G.F. Calculus with analytic geometry

Учебник на английском языке, 1985 г.- 950 с.Numbers, functions, and graphs.
The derivative of a function.
The computation of derivatives.
Applications of derivatives.
Indefinite integrals and differential equations.
Definite integrals.
Applications of integration.
Exponential and logarithm functions.
Trigonometric functions.
Methods of integration.
Further applications of integration.
Indeterminate forms and improper integrals.
Introduction to infinite series.
The theory of infinite series.
Conic section.
Polar coordinates.
Parametric equations. Vectors in the plane.
Vectors in three-dimensional space. Surfaces.
Partial derivatives.
Multiple integrals.
Line integrals and Green's theorem.Appendixes.
A. A variety of additional topics.
B. Biographical notes.
C. The theory of calculus.
D. A few review torpics.
E. Numerical tables.