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Calculus and Analytic Geometry Hardcover Sherman K., Barcellos, A

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Item specifics

Condition
Good
A book that has been read, but is in good condition. Minimal damage to the book cover eg. scuff marks, but no holes or tears. If this is a hard cover, the dust jacket may be missing. Binding has minimal wear. The majority of pages are undamaged with some creasing or tearing, and pencil underlining of text, but this is minimal. No highlighting of text, no writing in the margins, and no missing pages. See the seller’s listing for full details and description of any imperfections. See all condition definitionsopens in a new window or tab
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“Used book that is in clean, average condition without any missing pages. 100% Money-Back Guarantee.”
Book Title
Calculus and Analytic Geometry Hardcover Sherman K., Barcellos, A
ISBN
9780070611757

About this product

Product Identifiers

Publisher
McGraw-Hill Higher Education
ISBN-10
0070611750
ISBN-13
9780070611757
eBay Product ID (ePID)
32666

Product Key Features

Number of Pages
1232 Pages
Language
English
Publication Name
Calculus and Analytic Geometry
Publication Year
1992
Subject
Geometry / Analytic, Calculus
Features
Revised
Type
Textbook
Author
Sherman K. Stein, Anthony Barcellos
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1.8 in
Item Weight
5.3 Oz
Item Length
10.1 in
Item Width
8.3 in

Additional Product Features

Edition Number
5
Intended Audience
College Audience
LCCN
91-011421
Dewey Edition
20
Dewey Decimal
515/.15
Edition Description
Revised edition
Table Of Content
Calculus and Analytic Geometry 1. An Overview of Calculus. 1.1 The Derivative 1.2 The Integral 1.3 Survey of the Text 2. Functions, Limits, and Continuity. 2.1 Functions 2.2 Composite Functions 2.3 The Limit of a Function 2.4 Computations of Limits 2.5 Some Tools for Graphing 2.6 A Review of Trigonometry 2.7 The Limit of (sin Ø)/Ø as Ø Approaches 0 2.8 Continuous Functions 2.9 Precise Definitions of "lim(x->infinity)f(x)=infinity" and "lim(x->infinity)f(x)=L" 2.10 Precise Definition of "lim(x->a)f(x)=L" 2.S Summary 3. The Derivative. 3.1 Four Problems with One Theme 3.2 The Derivative 3.3 The Derivative and Continuity 3.4 The Derivative of the Sum, Difference, Product, and Quotient 3.5 The Derivatives of the Trigonometric Functions 3.6 The Derivative of a Composite Function 3.S Summary 4. Applications of the Derivative. 4.1 Three Theorems about the Derivative 4.2 The First Derivative and Graphing 4.3 Motion and the Second Derivative 4.4 Related Rates 4.5 The Second Derivative and Graphing 4.6 Newton's Method for Solving an Equation 4.7 Applied Maximum and Minimum Problems 4.9 The Differential and Linearization 4.10 The Second Derivative and Growth of a Function 4.S Summary 5. The Definite Integral. 5.1 Estimates in Four Problems 5.2 Summation Notation and Approximating Sums 5.3 The Definite Integral 5.4 Estimating the Definite Integral 5.5 Properties of the Antiderivative and the Definite Integral 5.6 Background for the Fundamental Theorems of Calculus 5.7 The Fundamental Theorems of Calculus 5.S Summary 6. Topics in Differential Calculus. 6.1 Logarithms 6.2 The Number e 6.3 The Derivative of a Logarithmic Function 6.4 One-to-One Functions and Their Inverses 6.5 The Derivative of b^x 6.6 The Derivatives of the Inverse Trigonometric Functions 6.7 The Differential Equation of Natural Growth and Decay 6.8 l'Hopital's Rule 6.9 The Hyperbolic Functions and Their Inverses 6.S Summary 7. Computing Antiderivatives. 7.1 Shortcuts, Integral Tables, and Machines 7.2 The Substitution Method 7.3 Integration by Parts 7.4 How to Integrate Certain Rational Functions 7.5 Integration of Rational Functions by Partial Fractions 7.6 Special Techniques 7.7 What to Do in the Face of an Integral 7.S Summary 8. Applications of the Definite Integral. 8.1 Computing Area by Parallel Cross Sections 8.2 Some Pointers on Drawing 8.3 Setting Up a Definite Integral 8.4 Computing Volumes 8.5 The Shell Method 8.6 The Centroid of a Plane Region 8.7 Work 8.8 Improper Integrals 8.S Summary 9. Plane Curves and Polar Coordinates. 9.1 Polar Coordinates 9.2 Area in Polar Coordinates 9.3 Parametric Equations 9.4 Arc Length and Speed on a Curve 9.5 The Area of a Surface of Revolution 9.6 Curvature 9.7 The Reflection Properties of the Conic Sections 9.S Summary 10. Series. 10.1 An Informal Introduction to Series 10.2 Sequences 10.3 Series 10.4 The Integral Test 10.5 Comparison Tests 10.6 Ratio Tests 10.7 Tests for Series with Both Positive and Negative Terms 10.S Summary 11. Power Series and Complex Numbers. 11.1 Taylor Series 11.2 The Error in Taylor Series 11.3 Why the Error in Taylor Series Is Controlled by a Derivative 11.4 Power Series and Radius of Convergence 11.5 Manipulating Power Series 11.6 Complex Numbers 11.7 The Relation between the Exponential and the Trigonometric Functions 11.S Summary 12. Vectors. 12.1 The Algebra of Vectors 12.2 Projections 12.3 The Dot Product of Two Vectors 12.4 Lines and Planes 12.5 Determinants 12.6 The Cross Product of Two Vectors 12.7 More on Lines and Planes 12.S Summary
Synopsis
Calculus and Analytic Geometry is designed for the standard 3-term calculus sequence taken by maths, engineering, and science students. The fifth edition was developed in response to the needs of today's students and instructors. It offers more explanation, an enhanced four-colour design with many new or redrawn illustrations, an expanded range of problem sets, and increased coverage of multivariable calculus.
LC Classification Number
QA303.S857 1992

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