Calculus: One and Several Variables, 10th Edition

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Calculus: One and Several Variables, 10th Edition

By Saturnino L. Salas, Einar Hille, Garret J. Etgen

Calculus: One and Several Variables reviews the difficult concepts of calculus without sacrificing rigor by providing a precise and perfect balance of theory and applications. This course instills in students a clear understanding of calculus as well as a broad insight into mathematics. It includes a wealth of rich problem sets which makes calculus relevant for students in the context of the real world.

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Satunino L. Salas is the author of various Wiley calculus textbooks.

Garret Etgen is a professor of mathematics and the University of Houston.

Chapter 1. Precalculus Review
Chapter 2. Limits and Continuity
Chapter 3. The Derivative; The Process of Differentiation
Chapter 4. The Mean-Value Theorem; Applications of the First and Second Derivatives
Chapter 5. Integration
Chapter 6. Some Applications of the Integral
Chapter 7. The Transcendental Functions
Chapter 8. Techniques of Integration
Chapter 9. Differential Equations
Chapter 10. The Conic Sections; Polar Coordinates; Parametric Equations
Chapter 11. Sequences; Indeterminate Forms; Improper Integrals
Chapter 12. Infinite Series
Chapter 13. Vectors
Chapter 14. Vector Calculus
Chapter 15. Functions of Several Variables
Chapter 16. Gradients; Extreme Values; Differentials
Chapter 17. Multiple Integrals
Chapter 18. Line Integrals and Surface Integrals
Chapter 19. Additional Differential Equations

A. Some Additional Topics
B. Some Additional Proofs