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Multivariable Calculus
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Located in: Somers, Connecticut, United States
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eBay item number:186389439989
Item specifics
- Condition
- Release Year
- 2002
- Book Title
- Multivariable Calculus
- ISBN
- 9780130339676
- Publication Name
- Multivariable Calculus
- Item Length
- 10.8in
- Publisher
- Pearson Education
- Publication Year
- 2002
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 1.3in
- Features
- Revised
- Item Width
- 8.4in
- Item Weight
- 46.4 Oz
- Number of Pages
- 560 Pages
About this product
Product Information
For one-semester undergraduate-level courses in Multivariable Calculus. This text combines traditional mainstream calculus with the most flexible approach to new ideas and calculator/computer technology. It contains superb problem sets and a fresh conceptual emphasis flavored by new technological possibilities.
Product Identifiers
Publisher
Pearson Education
ISBN-10
0130339679
ISBN-13
9780130339676
eBay Product ID (ePID)
2218014
Product Key Features
Publication Name
Multivariable Calculus
Format
Trade Paperback
Language
English
Features
Revised
Publication Year
2002
Type
Textbook
Number of Pages
560 Pages
Dimensions
Item Length
10.8in
Item Height
1.3in
Item Width
8.4in
Item Weight
46.4 Oz
Additional Product Features
Lc Classification Number
Qa303.2.E47 2001
Edition Description
Revised Edition
Edition Number
6
Table of Content
1. Functions, Graphs, and Models. Functions and Mathematical Modeling. Graphs of Equations and Functions. Polynomials and Algebraic Functions. Transcendental Functions. Preview: What Is Calculus? 2. Prelude to Calculus. Tangent Lines and Slope Predictors. The Limit Concept. More about Limits. The Concept of Continuity. 3. The Derivative. The Derivative and Rates of Change. Basic Differentiation Rules. The Chain Rule. Derivatives of Algebraic Functions. Maxima and Minima of Functions on Closed Intervals. Applied Optimization Problems. Derivatives of Trigonometric Functions. Successive Approximations and Newton''s Method. 4. Additional Applications of the Derivative. Implicit Functions and Related Rates. Increments, Differentials, and Linear Approximation. Increasing and Decreasing Functions and the Mean Value Theorem. The First Derivative Test and Applications. Simple Curve Sketching. Higher Derivatives and Concavity. Curve Sketching and Asymptotes. 5. The Integral. Introduction. Antiderivatives and Initial Value Problems. Elementary Area Computations. Riemann Sums and the Integral. Evaluation of Integrals. The Fundamental Theorem of Calculus. Integration by Substitution. Areas of Plane Regions. Numerical Integration. 6. Applications of the Integral. Riemann Sum Approximations. Volumes by the Method of Cross Sections. Volumes by the Method of Cylindrical Shells. Arc Length and Surface Area of Revolution. Force and Work. Centroids of Plane Regions and Curves. 7. Calculus of Transcendental Functions. Exponential and Logarithmic Functions. Indeterminate Forms and L''Hopîtal''s Rule. More Indeterminate Forms. The Logarithm as an Integral. Inverse Trigonometric Functions. Hyperbolic Functions. 8. Techniques of Integration. Introduction. Integral Tables and Simple Substitutions. Integration by Parts. Trigonometric Integrals. Rational Functions and Partial Fractions. Trigonometric Substitutions. Integrals Involving Quadratic Polynomials. Improper Integrals. 9. Differential Equations. Simple Equations and Models. Slope Fields and Euler''s Method. Separable Equations and Applications. Linear Equations and Applications. Population Models. Linear Second-Order Equations. Mechanical Vibrations. 10. Polar Coordinates and Parametric Curves. Analytic Geometry and the Conic Sections. Polar Coordinates. Area Computations in Polar Coordinates. Parametric Curves. Integral Computations with Parametric Curves. Conic Sections and Applications. 11. Infinite Series. Introduction. Infinite Sequences. Infinite Series and Convergence. Taylor Series and Taylor Polynomials. The Integral Test. Comparison Tests for Positive-Term Series. Alternating Series and Absolute Convergence. Power Series. Power Series Computations. Series Solutions of Differential Equations. 12. Vectors, Curves, and Surfaces in Space. Vectors in the Plane. Three-Dimensional Vectors. The Cross Product of Vectors. Lines and Planes in Space. Curves and Motions in Space. Curvature and Acceleration. Cylinders and Quadric Surfaces. Cylindrical and Spherical Coordinates. 13. Partial Differentiation. Introduction. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Multivariable Optimization Problems. Increments and Linear Approximation. The Multivariable Chain Rule. Directional Derivatives and the Gradient Vector. Lagrange Multipliers and Constrained Optimization. Critical Points of Functions of Two Variables. 14. Multiple Integrals. Double Integrals. Double Integrals over More General Regions. Area and Volume by Double Integration. Double Integrals in Polar Coordinates. Applications of Double Integrals. Triple Integrals. Integration in Cylindrical and Spherical Coordinates. Surface Area. Change of Variables in Multiple Integrals. 15. Vector Calculus. Vector Fields. Line Integrals. The Fundamental Theorem and Independence of Path. Green''s Theorem. Surface Integrals. The Divergence Theorem. Stokes'' Theorem. Appendices. Answers. Index.
Copyright Date
2002
Topic
Calculus, Complex Analysis
Lccn
2003-270724
Intended Audience
College Audience
Illustrated
Yes
Genre
Mathematics
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eBay item number:186389439989
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