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Multivariable Calculus : Early Transcendentalsby Stewart, James
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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!
Table of Contents
|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|
|Areas and Lengths in Polar Coordinates|
|Conic Sections in Polar Coordinates|
|Applied Project: Transfer Orbits|
|Infinite Sequences and Series|
|Laboratory Project: Logistic Sequences|
|The Integral Test and Estimates of Sums|
|The Comparison Tests|
|Absolute Convergence and the Ratio and Root Tests|
|Strategy for Testing 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|
|Vectors and the Geometry of Space|
|Three-Dimensional Coordinate Systems|
|The Dot Product|
|The Cross Product|
|Discovery Project: The Geometry of a Tetrahedron|
|Equations of Lines and Planes|
|Cylindrical and Spherical Coordinates|
|Laboratory Project: Families of Surfaces|
|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|
|Partial Derivatives Functions of Several Variables|
|Limits and Continuity|
|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|
|Applied Project: Rocket Science|
|Applied Project: Hydro-Turbine Optimization|
|Double Integrals Over Rectangles|
|Double Integrals over General Regions|
|Double Integrals in Polar Coordinates|
|Applications of Double 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|
|The Fundamental Theorem for Line Integrals|
|Curl and Divergence|
|Parametric Surfaces and Their Areas|
|Writing Project: Three Men and Two Theorems|
|The Divergence Theorem|
|Second-Order Differential Equations|
|Second-Order Linear Equations|
|Nonhomogeneous Linear Equations|
|Applications of Second-Order Differential Equations|
|Numbers, Inequalities, and Absolute Values|
|Coordinate Geometry and Lines|
|Graphs of Second-Degree Equations|
|Proofs of Theorems|
|The Logarithm Defined as an Integral|
|Answers to Odd-Numbered Exercises|
|Table of Contents provided by Publisher. All Rights Reserved.|