Calculus : one and several variables /
Saturnino L. Salas, Einar Hille, and Garret J. Etgen.
- Tenth edition.
- x, 1039 [A-90, I-9] pages : illustrations ; 28 cm.
Includes index. "International Adaptation."
Limits and continuity -- The derivate; the process of differentiation -- The mean-value theorem; applications of the first and second derivatives -- Integration -- Some applications of the integral -- The transcendental functions -- Techniques of integration -- Some differential equations -- The conic sections; polar coordinates; parametric equations -- Sequences; indeterminate forms; improper integrals -- Infinite series -- Vectors in three-dimensional space -- Vector calculus -- Functions of several variables -- Gradients; extreme values; differentials -- Double and triple integrals -- Line integrals and surface integrals -- Additional differential equations.
"Calculus: One and Several Variables is a classic book known for its elegant writing style, precision, and perfect balance of theory and applications. The book explores the concepts, properties, and applications of the differential and integral calculus. Starting with limits and continuity, the book focuses on derivatives and indefinite integrals of various algebraic and transcendental functions. The book utilizes the fundamental theorem of calculus and the techniques of integration to calculate the area of regions in the plane and the volume and surface area of solids of revolution. It then introduces first-and second-order linear equations including a variety of applications. The book finally covers the basic concepts and techniques to calculate gradients, directional derivatives, curl, arc length of curves, extreme values, line and surface integrals, areas of surfaces, and volumes of solids. This International adaptation includes a wealth of updated problem sets which make calculus relevant for students." --Back cover