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Multivariable Calculus Early Transcendentals 6th Edition by James Stewart ISBN 049501172X 9780495011729
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Multivariable Calculus Early Transcendentals 6th Edition James Stewart Digital Instant Download
ISBN(s): 9780495011729, 049501172X
Edition: 6
File Details: PDF, 17.24 MB
Year: 2007
Language: english
Multivariable Calculus Early Transcendentals 6th Edition by James Stewart – Ebook PDF Instant Download/Delivery: 049501172X, 978-0495011729
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Product details:
ISBN 10: 049501172X
ISBN 13: 978-0495011729
Author: James Stewart
Success in your calculus course starts here! James Stewart’s CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANCENDENTALS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!
Multivariable Calculus Early Transcendentals 6th Table of contents:
10. Parametric Equations and Polar Coordinates
- Curves Defined by Parametric Equations
- Laboratory Project: Families of Hypocycloids
- Tangents and Areas
- Laboratory Project: Bézier Curves
- Arc Length and Surface Area
- Polar Coordinates
- Areas and Lengths in Polar Coordinates
- Conic Sections
- Conic Sections in Polar Coordinates
- Applied Project: Transfer Orbits
- Review
- Problems Plus
11. Infinite Sequences and Series
- Sequences
- Laboratory Project: Logistic Sequences
- Series
- The Integral Test and Estimates of Sums
- The Comparison Tests
- Alternating Series
- Absolute Convergence and the Ratio and Root Tests
- Strategy for Testing Series
- Power Series
- Representation of Functions as Power Series
- Taylor and Maclaurin Series
- The Binomial Series
- Writing Project: How Newton Discovered the Binomial Series
- Applications of Taylor Polynomials
- Applied Project: Radiation from the Stars
- Review
- Problems Plus
12. Vectors and the Geometry of Space
- Three-Dimensional Coordinate Systems
- Vectors
- The Dot Product
- The Cross Product
- Discovery Project: The Geometry of a Tetrahedron
- Equations of Lines and Planes
- Quadric Surfaces
- Cylindrical and Spherical Coordinates
- Laboratory Project: Families of Surfaces
- Review
- Problems Plus
13. Vector Functions
- Vector Functions and Space Curves
- Derivatives and Integrals of Vector Functions
- Arc Length and Curvature
- Motion in Space: Velocity and Acceleration
- Applied Project: Kepler’s Laws
- Review
- Problems Plus
14. Partial Derivatives
- Functions of Several Variables
- Limits and Continuity
- Partial Derivatives
- Tangent Planes and Differentials
- The Chain Rule
- Directional Derivatives and the Gradient Vector
- Maximum and Minimum Values
- Applied Project: Designing a Dumpster
- Discovery Project: Quadratic Approximations and Critical Points
- Lagrange Multipliers
- Applied Projects:
- Rocket Science
- Hydro-Turbine Optimization
- Review
- Problems Plus
15. Multiple Integrals
- Double Integrals Over Rectangles
- Iterated Integrals
- Double Integrals over General Regions
- Double Integrals in Polar Coordinates
- Applications of Double Integrals
- Surface Area
- Triple Integrals
- Discovery Project: Volumes of Hyperspheres
- Triple Integrals in Cylindrical and Spherical Coordinates
- Applied Project: Roller Derby
- Discovery Project: The Intersection of Three Cylinders
- Change of Variables in Multiple Integrals
- Review
- Problems Plus
16. Vector Calculus
- Vector Fields
- Line Integrals
- The Fundamental Theorem for Line Integrals
- Green’s Theorem
- Curl and Divergence
- Parametric Surfaces and Their Areas
- Surface Integrals
- Stokes’ Theorem
- Writing Project: Three Men and Two Theorems
- The Divergence Theorem
- Summary
- Review
- Problems Plus
17. Second-Order Differential Equations
- Second-Order Linear Equations
- Nonhomogeneous Linear Equations
- Applications of Second-Order Differential Equations
- Series Solutions
- Review
- Problems Plus
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