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# Calculus: Late Transcendentals Multivariable

## Third EditionJon Rogawski; Colin Adams

©2015
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ISBN:9781464186899

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**This alternative version of Rogawski and Adams’**The most successful calculus book of its generation, Jon Rogawski’s

*Calculus*includes chapters 11-18 of the Third Edition, and is ideal for instructors who just want coverage of topics in multivariable calculus.*Calculus*offers an ideal balance of formal precision and dedicated conceptual focus, helping students build strong computational skills while continually reinforcing the relevance of calculus to their future studies and their lives.Guided by new author Colin Adams, the new edition stays true to the late Jon Rogawski’s refreshing and highly effective approach, while drawing on extensive instructor and student feedback, and Adams’ three decades as a calculus teacher and author of math books for general audiences.The Third Edition is also a fully integrated text/media package, with its own dedicated version of WebAssign

*Premium*that boasts a robust collection of interactive learning aids.

## Table of Contents

**Rogawski/Adams: Calculus 3e Multivariable Table of Contents**

**Chapter 11: Infinite Series**11.1 Sequences

11.2 Summing an Infinite Series

11.3 Convergence of Series with Positive Terms

11.4 Absolute and Conditional Convergence

11.5 The Ratio and Root Tests

11.6 Power Series

11.7 Taylor Series

Chapter Review Exercises

**Chapter 12: Parametric Equations, Polar Coordinates, and Conic Sections **12.1 Parametric Equations

12.2 Arc Length and Speed

12.3 Polar Coordinates

12.4 Area and Arc Length in Polar Coordinates

12.5 Conic Sections

Chapter Review Exercises

**Chapter 13: Vector Geometry**13.1 Vectors in the Plane

13.2 Vectors in Three Dimensions

13.3 Dot Product and the Angle Between Two Vectors

13.4 The Cross Product

13.5 Planes in Three-Space

13.6 A Survey of Quadric Surfaces

13.7 Cylindrical and Spherical Coordinates

Chapter Review Exercises

**Chapter 14: Calculus of Vector-Valued Functions **14.1 Vector-Valued Functions

14.2 Calculus of Vector-Valued Functions

14.3 Arc Length and Speed

14.4 Curvature

14.5 Motion in Three-Space

14.6 Planetary Motion According to Kepler and Newton

Chapter Review Exercises

**Chapter 15: Differentiation in Several Variables**15.1 Functions of Two or More Variables

15.2 Limits and Continuity in Several Variables

15.3 Partial Derivatives

15.4 Differentiability and Tangent Planes

15.5 The Gradient and Directional Derivatives

15.6 The Chain Rule

15.7 Optimization in Several Variables

15.8 Lagrange Multipliers: Optimizing with a Constraint

Chapter Review Exercises

**Chapter 16: Multiple Integration**16.1 Integration in Variables

16.2 Double Integrals over More General Regions

16.3 Triple Integrals

16.4 Integration in Polar, Cylindrical, and Spherical Coordinates

16.5 Applications of Multiplying Integrals

16.6 Change of Variables

Chapter Review Exercises

**Chapter 17: Line and Surface Integrals**17.1 Vector Fields

17.2 Line Integrals

17.3 Conservative Vector Fields

17.4 Parametrized Surfaces and Surface Integrals

17.5 Surface Integrals of Vector Fields

Chapter Review Exercises

**Chapter 18: Fundamental Theorems of Vector Analysis**18.1 Green’s Theorem

18.2 Stokes’ Theorem

18.3 Divergence Theorem

**Appendices**A. The Language of Mathematics

B. Properties of Real Numbers

C. Mathematical Induction and the Binomial Theorem

D. Additional Proofs of Theorems

Answers to Odd-Numbered Exercises

References

Index