Schaum's Outline of Theory and Problems of Differential and Integral Calculus

Ayres, Frank, Jr.

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Language: English

Published by Schaum's Outline Series McGraw-Hill Book Company, 1964

007002653X / 9780070026537

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Previous Owner Markings; Repaired; Light Creasing on Front, Rear Covers, Spine; Front, Rear Covers, Spine Lightly Chipped; Spine Slightly Cocked; Edges Lightly Soiled; Moderate Yellowing Due to Age. Including 1175 Solved Problems. CONTENTS: Chapter 1 Variables and Functions; Chapter 2 Limits; Chapter 3 Continuity; Chapter 4 The Derivative; Chapter 5 Differentiations of Algebraic Functions; Chapter 6 Implicit Differentiation; Chapter 7 Tangents and Normals; Chapter 8 Maximum and Minimum Values; Chapter 9 Applied Problems in Maxima and Minima; Chapter 10 Rectilinear and Circular Motion; Chapter 11 Related Rates; Chapter 12 Differentiation of Trigonometric Functions; Chapter 13 Differentiation of Inverse Trigonometric Functions; Chapter 14 Differentiation of Exponential and Logarithmic Functions; Chapter 15 Differentiation of Hyperbolic Functions; Chapter 16 Parametric Representation of Curves; Chapter 17 Curvature; Chapter 18 Plane Vectors; Chapter 19 Curvilinear Motion; Chapter 20 Polar Coordinates; Chapter 21 The Law of the Mean; Chapter 22 Indeterminate Forms; Chapter 23 Differentials; Chapter 24 Curve Tracing; Chapter 25 Fundamental Integration Formulas; Chapter 26 Integration by Parts; Chapter 27 Trigonometric Integrals; Chapter 28 Trigonometric Substitutions; Chapter 29 Integration by Partial Fractions; Chapter 30 Miscellaneous Substitutions; Chapter 31 Integration of Hyperbolic Functions; Chapter 32 Applications of Indefinite Integrals; Chapter 33 The Definite Integral; Chapter 34 Plane Areas by Integration; Chapter 35 Volumes of Solids of Revolution; Chapter 36 Volumes of Solids with Known Cross Sections; Chapter 37 Centroids - Plane Areas and Solids of Revolution; Chapter 38 Moments of Inertia - Plane Areas and Solids of Revolution; Chapter 39 Fluid Pressure; Chapter 40 Work; Chapter 41 Length of Arc; Chapter 42 Area of Surface of Revolution; Chapter 43 Centroid and Moment of Inertia - Arcs and Surfaces of Revolution; Chapter 44 Plane Area and Centroid of Area - Polar Coordinates; Chapter 45 Length and Centroid of Arc, Area of Surface of Revolution, Polar Coordinates; Chapter 46 Improper Integrals; Chapter 47 Infinite Sequences and Series; Chapter 48 Tests for Convergence and Divergence of Positive Series; Chapter 49 Series with Negative Terms; Chapter 50 Computations with Series; Chapter 51 Power Series; Chapter 52 Series Expansion of Functions; Chapter 53 Maclaurin's and Taylor's Formulas with Remainders; Chapter 54 Computations Using Power Series; Chapter 55 Approximate Integration; Chapter 56 Partial Derivatives; Chapter 57 Total Differentials and Total Derivatives; Chapter 58 Implicit Functions; Chapter 59 Space Curves and Surfaces; Chapter 60 Directional Derivatives; Chapter 61 Space Vectors; Chapter 62 Vector Differentiation and Integration; Chapter 63 Double and Iterated Integrals; Chapter 64 Centroids and Moments of Inertia of Plane Areas - Double Integration; Chapter 65 Volume Under a Surface - Double Integration; Chapter 66 Are of Curve Surface - Double Integration; Chapter 67 Triple Integrals; Chapter 68 Masses of Variable Density; Chapter 69 Differential Equations; Chapter 70 Differential Equations of Order Two; Index. EXCERPT: Preface - The purpose of this book, as in the case of the first edition, is to provide the beginning student of elementary calculus with a collection of carefully solved representative problems. The book will also be found helpful to students of science and engineering who feel the need for a review of fundamental theory and problem work in the subject. Moreover, since this edition includes proofs of theorems, derivations of differentiation and integration formulas, and an ample supply of supplementary problems it may be used as a text for a formal course. The plan of the book is essentially that of the previous edition. Each chapter begins with statements of pertinent definitions, principles, and theorems. The illustrative material and solved problems which follow have been . . . Si.

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Title
Schaum's Outline of Theory and Problems of Differential and Integral Calculus
Author
Ayres, Frank, Jr.
Publisher
Schaum's Outline Series McGraw-Hill Book Company
Publication year
1964
Condition
Very Good
Binding
Paperback
Language
English
ISBN 10
007002653X
ISBN 13
9780070026537
Edition
Second Edition 39th Printing.
Seller catalogs
Mathematics - Calculus

Past Pages

Oshawa, ON, Canada

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