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Multivariable Calculus (9th Edition) by Ron Larson, Bruce H. Edwards

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 (9th Edition) by Ron Larson , The Pennsylvania State University, The Behrend College and Bruce H. Edwards , University of Florida.
Explorations provide students with unique challenges to study concepts that have not yet been formally covered. They allow students to learn by discovery and introduce topics related to ones they are presently studying. By exploring topics in this way, students are encouraged to think outside the box. Historical Notes provide students with background information on the foundations of calculus, and Biographies help humanize calculus and teach students about the people who contributed to its formal creation. Putnam Exam questions appear in selected sections and are drawn from actual Putnam Exams. These exercises will push the limits of students’ understanding of calculus and provide extra challenges for motivated students.
Theorems provide the conceptual framework for calculus. Theorems are clearly stated and separated from the rest of the text by boxes for quick visual reference. Key proofs often follow the theorem, and other proofs are provided in an in-text appendix. As with the theorems, definitions are clearly stated using precise, formal wording and are separated from the text by boxes for quick visual reference.

Multivariable Calculus (9th Edition) by Ron Larson, Bruce H. Edwards cover the following topics.

• 11. Vectors and the Geometry of Space
11.1 Vectors in the Plane
11.2 Space Coordinates and Vectors in Space
11.3 The Dot Product of Two Vectors
11.4 The Cross Product of Two Vectors in Space
11.5 Lines and Planes in Space
11.6 Surfaces in Space
11.7 Cylindrical and Spherical Coordinates

• 12. Vector-Valued Functions
12.1 Vector-Valued Functions
12.2 Differentiation and Integration of Vector-Valued Functions
12.3 Velocity and Acceleration
12.4 Tangent Vectors and Normal Vectors
12.5 Arc Length and Curvature

• 13. Functions of Several Variables
13.1 Introduction to Functions of Several Variables
13.2 Limits and Continuity
13.3 Partial Derivatives
13.4 Differentials
13.5 Chain Rules for Functions of Several Variables
13.7 Tangent Planes and Normal Lines
13.8 Extrema of Functions of Two Variables
13.9 Applications of Extrema of Functions of Two Variables
13.10 Lagrange Multipliers

• 14. Multiple Integration
14.1 Iterated Integrals and Area in the Plane
14.2 Double Integrals and Volume
14.3 Change of Variables: Polar Coordinates
14.4 Center of Mass and Moments of Inertia
14.5 Surface Area
14.6 Triple Integrals and Applications
14.7 Triple Integrals in Cylindrical and Spherical Coordinates
14.8 Change of Variables: Jacobians

• 15. Vector Analysis
15.1 Vector Fields
15.2 Line Integrals
15.3 Conservative Vector Fields and Independence of Path
15.4 Green
s Theorem
15.5 Parametric Surfaces
15.6 Surface Integrals
15.7 Divergence Theorem
15.8 Stokes
s Theorem

• 16. Additional Topics in Differential Equations
16.1 Exact First-Order Equations
16.2 Second-Order Homogeneous Linear Equations
16.3 Second-Order Nonhomogeneous Linear Equations
16.4 Series Solutions of Differential Equations

• Appendix
A.Proofs of Selected Theorems A2
B.Integration Tables A21
C.Precalculus Review(Online)
D.Rotation and the General Second-Degree Equation (Online)
E.Complex Numbers(Online)
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