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### Multivariable Calculus Fourth Edition by James Stewart

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Calculus eBooks . We hope mathematician or person who’s interested in mathematics like these books. Multivariable Calculus Fourth Edition written by James Stewart . This is an other great mathematics book cover the following topics.

• 8. Infinite Sequence and Series
8.1 Sequences, Laboratory Project, Logistic Sequences
8.2 Series 565
8.3 The Integral and Comparison Tests; Estimating Sums
8.4 Other Convergence Tests
8.5 Power Series
8.6 Representations of Functions as Power Series
8.7 Taylor and Maclaurin Series, Laboratory Project, An Elusive Limit, Writing Project ¦ How Newton Discovered the Binomial Series
8.8 Applications of Taylor Polynomials, Applied Project, Radiation from the Stars, Review

• 9. Vectors and the Geometry of Space
9.1 Three-Dimensional Coordinate Systems
9.2 Vectors
9.3 The Dot Product,
9.4 The Cross Product, Discovery Project, The Geometry of a Tetrahedron
9.5 Equations of Lines and Planes, Laboratory Project ¦ Putting 3D in Perspective
9.6 Functions and Surfaces 673
9.7 Cylindrical and Spherical Coordinates, Laboratory Project, Families of Surfaces, Review

• 10. Vector Functions
10.1 Vector Functions and Space Curves
10.2 Derivatives and Integrals of Vector Functions
10.3 Arc Length and Curvature
10.4 Motion in Space: Velocity and Acceleration, Applied Project, Kepler’s Laws
10.5 Parametric Surfaces, Review

• 11. Partial Derivatives
11.1 Functions of Several Variables
11.2 Limits and Continuity
11.3 Partial Derivatives
11.4 Tangent Planes and Linear Approximations
11.5 The Chain Rule
11.6 Directional Derivatives and the Gradient Vector
11.7 Maximum and Minimum Values, Applied Project ¦ Designing a Dumpster, Discovery Project, Quadratic Approximations and Critical Points
11.8 Lagrange Multipliers, Applied Project ¦ Rocket Science, Applied Project, Hydro-Turbine Optimization
Review

• 12. Multiple Integrals
12.1 Double Integrals over Rectangles
12.2 Iterated Integrals
12.3 Double Integrals over General Regions
12.4 Double Integrals in Polar Coordinates
12.5 Applications of Double Integrals
12.6 Surface Area,
12.7 Triple Integrals, Discovery Project, Volumes of Hyperspheres
12.8 Triple Integrals in Cylindrical and Spherical Coordinates, Applied Project, Roller Derby, Discovery Project, The Intersection of Three Cylinders
12 Multiple Integrals
12.9 Change of Variables in Multiple Integrals
Review 899

• 13. Vector Calculus
13.1 Vector Fields
13.2 Line Integrals
13.3 The Fundamental Theorem for Line Integrals
13.4 Green’s Theorem
13.5 Curl and Divergence
13.6 Surface Integrals, Stokes’ Theorem, Writing Project
13.7 Three Men and Two Theorems
13.8 The Divergence Theorem
13.9 Summary
Review

• Appendex
D Precise Definitions of Limits
E A Few Proofs
H Polar Coordinates
I Complex Numbers
J Answers to Odd-Numbered Exercises
Index
Appendixes

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##### Worksheets (Solved)

###### Integration     