Schaum's outline of theory and problems of differential and integral calculus

Ayres, Frank, 1901-1994.

ISBN 10: 007002653X / ISBN 13: 9780070026537

Published by New York : McGraw Hill, 1978, 1978

About this Item

2nd ed. ; 345 p. : ill. ; 28 cm. ; ISBN: 007002653X (pbk.) :; 9780070026537 (pbk.) ; LC: QA303; Dewey: 517.1 ; OCLC: 7833130 ; LC: QA303; Dewey: 517.1 ; paper wrappers ; "Including 1175 solved problems." ; Contents: Variables and functions -- Limits -- Continuity -- The derivative -- Differentiation of algebraic functions -- Implicit differentiation -- Tangents and normals -- Maximum and minimum values -- Applied problems in maxima and minima -- Rectilinear and circular motion -- Related rates -- Differentiation of trigonometric functions -- Differentiation of inverse trigonometric functions -- Differentiation of exponential and logarithmic functions -- Differentiation of hyperbolic functions -- Parametric representation of curves -- Curvature -- Plane vectors -- Curvilinear motion -- Polar coordinates -- The law of the mean -- Indeterminate forms -- Differentials -- Curve tracing -- Fundamental integration formulas -- Integration by parts -- Trigonometric integrals -- Trigonometric substitutions -- Integration by partial fractions -- Miscellaneous substitutions -- Integration of hyperbolic functions -- Applications of indefinite integrals -- The definite integral -- Plane areas by integration -- Volumes of solids of revolution -- VOlumes of solids with known cross sections -- Centroids, plane areas and solids of revolutions -- Moments of inertia, plane areas and solids of revolution -- FLuid pressure -- Work -- Length of arc -- Area of surface of revolution -- Controid and moment of inertia, arcs and surfaces of revolution -- Plane area and centroid of area, polar coordinates -- Length and centroid or arc, area of surface af revolution, polar coordinates -- Improper integrals -- Infinite sequences and series -- Tests for convergence and divergence of positive series -- Series with negative terms -- Computations with series -- Power series -- Series expansion of fuctions -- MacLaurin's and Taylor's formulas with remainders -- Computations using power series -- Approximate integration -- Partial derivatives -- Total differentials and total derivatives -- Implicit functions -- Space curves and surfaces -- Directional derivatives -- Space vectors -- Vector differentiation and integration -- Double and iterated intregrals -- Centroids and moments of inertia of plane areas, double integration -- Volume under a surface, double integration -- Area of a curved surface, double integration -- Triple integrals -- Masses of variable density -- Differential equations -- Differential equations of order two -- Index ; VG.

Seller Inventory # 005756

Bibliographic Details

• Title: Schaum's outline of theory and problems of differential and integral calculus
• Publisher: New York : McGraw Hill, 1978
• Publication Date: 1978
• Language: English
• ISBN 10: 007002653X
• ISBN 13: 9780070026537
• Binding: Soft cover
• Edition: 2nd Edition
• Condition: Very Good
• Book Type: Book
• Seller catalogs:
  • Catalog 78 - Sciences

About this title

Synopsis

Schaum's Outlines contain hundreds of solutions to problems covered in any college course. This guide, which can be used with any text book or can stand alone, contains a list of key definitions, a summary of major concepts, and step by step solutions.