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Multivariable Calculus Early Transcendentals

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ISBN-10: 0534417787

ISBN-13: 9780534417789

Edition: 5th 2003

Authors: James Stewart

List price: $238.95
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Stewart's CALCULUS: EARLY TRANSCENDENTALS, Fifth Edition has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that have characterized the first four editions. Stewart retains the focus on problem solving and the pedagogical system that has made the book a favorite of students and instructors in a wide variety of colleges and universities throughout the world. The structure of CALCULUS: EARLY TRANSCENDENTALS, Fifth Edition, remains largely unchanged, the sole exception being that the review of inverse trigonometric functions has been moved from an appendix to Section 1.6. Stewart has made hundreds of small improvements: new examples,…    
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Book details

List price: $238.95
Edition: 5th
Copyright year: 2003
Publisher: Brooks/Cole
Publication date: 12/26/2002
Binding: Hardcover
Pages: 576
Size: 8.75" wide x 10.00" long x 1.25" tall
Weight: 3.080
Language: English

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
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
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
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
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 Project: Rocket Science
Applied Project: Hydro-Turbine Optimization
Review
Problems Plus
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
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
Second-Order Differential Equations
Second-Order Linear Equations
Nonhomogeneous Linear Equations
Applications of Second-Order Differential Equations
Series Solutions
Review
Problems Plus
Appendixes
Numbers, Inequalities, and Absolute Values
Coordinate Geometry and Lines
Graphs of Second-Degree Equations
Trigonometry
Sigma Notation
Proofs of Theorems
The Logarithm Defined as an Integral
Complex Numbers
Answers to Odd-Numbered Exercises