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Solutions Manual for James Stewart's Multivariable Calculus (5th Edition) by Brooks Cole

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About this book :-
Solutions Manual for James Stewart's Multivariable Calculus (5th Edition) written by James Stewart, Dan Clegg .
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 MULTIVARIABLE CALCULUS, Seventh 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!.

Book Detail :-
Title: Solutions Manual for James Stewart s Multivariable Calculus
Edition: 5th
Author(s): James Stewart, Dan Clegg
Publisher: Brooks/Cole
Series:
Year: 2003
Pages: 751
Type: PDF
Language: English
ISBN: 0534393594,9780534393595
Country: Canada
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About Author :- James Drewry Stewart was a Canadian mathematician, violinist, and professor emeritus of mathematics at McMaster University.
He received his M. S. (master of science) at Stanford University and his Ph.D. (doctor of philosophy) from the University of Toronto.
He worked as a postdoctoral fellow at the University of London, where his research focused on harmonic and functional analysis. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best calculus textbook series published by Cengage Learning, including Calculus, Calculus: Early Transcendentals and Calculus: Concepts and Contexts, as well as a series of precalculus texts.


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Book Contents :-
Solutions Manual for James Stewart's Multivariable Calculus (5th Edition) written by James Stewart, Dan Clegg cover the following topics.
10. PARAMETRIC EQUATIONS AND POLAR COORDINATES
10.1 Curves Defined by Parametric Equations, Running Circles Around Circles
10.2 Calculus with Parametric Curves, Bézier Curves
10.3 Polar Coordinates, Families of Polar Curves
10.4 Areas and Lengths in Polar Coordinates
10.5 Conic Sections
10.6 Conic Sections in Polar Coordinates
11. INFINITE SEQUENCES AND SERIES
11.1 Sequences, Logistic Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin , An Elusive Limit
11.11 Applications of Taylor Polynomials, Radiation from the Stars
12. VECTORS AND THE GEOMETRY OF SPACE
12.1 Three-Dimensional Coordinate Systems
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product, The Geometry of a Tetrahedron
12.5 Equations of Lines and Planes, Putting 3D in Perspective
12.6 Cylinders and Quadric Surfaces
13. VECTOR FUNCTIONS
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
13.4 Motion in Space: Velocity and Acceleration, Kepler’s Laws
14. PARTIAL DERIVATIVES
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values, Designing a Dumpster, Quadratic Approximations and Critical Points
14.8 Lagrange Multipliers, Rocket Science, Hydro-Turbine Optimization
15. MULTIPLE INTEGRALS
15.1 Double Integrals over Rectangles
15.2 Iterated Integrals
15.3 Double Integrals over General Regions
15.4 Double Integrals in Polar Coordinates
15.5 Applications of Double Integrals
15.6 Surface Area
15.7 Triple Integrals, Volumes of Hyperspheres
15.8 Triple Integrals in Cylindrical Coordinates, The Intersection of Three Cylinders
15.9 Triple Integrals in Spherical Coordinates, Roller Derby
15.10 Change of Variables in Multiple Integrals
16. VECTOR CALCULUS
16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals
16.4 Green’s Theorem
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals
16.8 Stokes’ Theorem
16.9 The Divergence Theorem
17. SECOND-ORDER DIFFERENTIAL EQUATIONS
17.1 Second-Order Linear Equations
17.2 Nonhomogeneous Linear Equations
17.3 Applications of Second-Order Differential Equations
17.4 Series Solutions


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