Multivariable Calculus 8Th Edition

Hardcover Edition Number: 8 Published: 30th September 2015 ISBN: 9781305266735 Number Of Pages: 624


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Success in your calculus course starts here! James Stewart"s CALCULUS, INTERNATIONAL METRIC EDITION texts are world-wide best-sellers for a reason: they are clear, exact, and filled via appropriate, real-world examples. With MULTIVARIABLE CALCULUS, 8E, INTERNATIONAL METRIC EDITION, Stewart conveys not just the utility of calculus to aid you construct technological alwaei.competence, but additionally gives you an appreciation for the intrinsic beauty of the topic. His patient examples and also integrated finding out aids will certainly aid you construct your mathematical confidence and attain your objectives in the course.


Preconfront.To the Student.Diagnostic Tests.A Ptestimonial of Calculus.10. PARAMETRIC EQUATIONS AND POLAR COORDINATES.Curves Defined by Parametric Equations.Laboratory Project: Families of Hypocycloids.Calculus through Parametric Curves.Laboratory Project: Bï½zier Curves.Polar Coordinates.Laboratory Project: Families of Polar Curves.Areas and Lengths in Polar Coordinates.Conic Sections.Conic Sections in Polar Coordinates.Rewatch.Problems Plus.11. INFINITE SEQUENCES AND SERIES.Sequences.Laboratory Project: Logistic Sequences.Series.The Integral Test and also Estimates of Sums.The alwaei.compariboy Tests.Alternating Series.Absolute Convergence and also the Ratio and Root Tests.Strategy for Testing Series.Power Series.Representations of Functions as Power Series.Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit.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 Solution.Vectors.The Dot Product.The Cross Product.Discoincredibly Project: The Geometry of a Tetrahedron.Equations of Lines and Planes.Cylinders and Quadric Surencounters.Recheck out.Problems Plus.13. VECTOR FUNCTIONS.Vector Functions and also Void Curves.Derivatives and also Integrals of Vector Functions.Arc Length and Curvature.Motion in Space: Velocity and also Acceleration.Applied Project: Kepler"s Laws.Rewatch.Problems Plus.14. PARTIAL DERIVATIVES.Functions of Several Variables.Limits and Continuity.Partial Derivatives.Tangent Planes and also Liclose to Approximation.Applied Project: The Speedo LZR Race Suit.The Chain Rule.Directional Derivatives and the Gradient Vector.Maximum and also Minimum Values.Applied Project: Designing a Dumpster.Discoextremely Project: Quadratic Approximations and also Critical Points. Lagrange Multipliers.Applied Project: Rocket Science.Applied Project: Hydro-Turbine Optimization. Rewatch.Problems Plus.15. Multiple Integrals.Double Integrals over Rectangles.Double Integrals over General Regions.Double Integrals in Polar Coordinates.Applications of Double Integrals.Surconfront Area.Triple Integrals.Discovery Project: Volumes of Hyperspheres.Triple Integrals in Cylindrical Coordinates.Discoextremely Project: The Interarea of Three Cylinders.Triple Integrals in Spherical Coordinates.Applied Project: Roller Derby.Change of Variables in Multiple Integrals.Rewatch.Problems Plus.16. Vector Calculus.Vector Fields.Line Integrals.The Fundamental Theorem for Line Integrals.Green"s Theorem.Curl and Divergence.Parametric Surdeals with and Their Areas.Surface Integrals.Stokes" Theorem.Writing Project: Three Men and also Two Theorems.The Divergence Theorem.Synopsis.Resee.Problems Plus.17. Second-Order Differential Equations.Second-Order Linear Equations.Nonhomogeneous Liclose to Equations.Applications of Second-Order Differential Equations.Series Solutions.Review.Problems Plus.APPENDIXES.F Proofs of Theorems.G The Logarithm Defined as an Integral.H alwaei.complex Numbers.I Answers to Odd-Numbered Exercises.INDEX.

ISBN: 9781305266735 ISBN-10: 1305266730 Audience: Tertiary; College or College Format: Hardcover Language: English Number Of Pages: 624 Published: 30th September 2015 Publisher: Cconnect Learning, Inc Counattempt of Publication: US Dimensions (cm): 26.2x22.2 x2.8 Weight (kg): 1.36 Edition Number: 8 Edition Type: Revised