Multivariable Calculus: Early Transcendentals (Available 2010 Titles Enhanced W

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Specifiche dell'oggetto

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Book Title
Multivariable Calculus: Early Transcendentals (Available 2010 Tit
ISBN
9780495011729
Categoria

Informazioni su questo prodotto

Product Identifiers

Publisher
Brooks/Cole
ISBN-10
049501172X
ISBN-13
9780495011729
eBay Product ID (ePID)
11038307571

Product Key Features

Number of Pages
600 Pages
Publication Name
Multivariable Calculus : Early Transcendentals
Language
English
Subject
Geometry / Analytic, General, Calculus, Algebra / Elementary
Publication Year
2007
Type
Textbook
Subject Area
Mathematics
Author
James Stewart
Series
Available 2010 Titles Enhanced Web Assign Ser.
Format
Hardcover

Dimensions

Item Height
1 in
Item Weight
47.3 Oz
Item Length
9.9 in
Item Width
8.4 in

Additional Product Features

Edition Number
6
Intended Audience
College Audience
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
515
Table Of Content
10. Parametric Equations and Polar Coordinates.Curves Defined by Parametric Equations. Laboratory Project: Families of Hypocycloids. Tangents and Areas. Laboratory Project: Bezier 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 SeriesThe 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: Keplers Laws. Review. Problems Plus.14. Partial DerivativesFunctions 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 Project: Rocket Science. Applied Project: 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. Greens 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.Appendixes.A: Numbers, Inequalities, and Absolute Values. B: Coordinate Geometry and Lines. C: Graphs of Second-Degree Equations. D: Trigonometry. E: Sigma Notation. F: Proofs of Theorems. G: The Logarithm Defined as an Integral. H: Complex Numbers. I: Answers to Odd-Numbered Exercises.
Synopsis
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!

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