ISBN:9781319055844

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ISBN:9781319055837

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ISBN:9781319050733

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ISBN:9781319406967

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We see teaching mathematics as a form of story-telling, both when we present in a classroom and when we write materials for exploration and learning. The goal is to explain to you in a captivating manner, at the right pace, and in as clear a way as possible, how mathematics works and what it can do for you. We find mathematics to be intriguing and immensely beautiful. We want you to feel that way, too.

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Learn More## Table of Contents

Chapter 1: Precalculus Review

Chapter 2: Limits

Chapter 3: Differentiation

Chapter 4: Applications of the Derivative

Chapter 5: Integration

Chapter 6: Applications of the Integral

Chapter 7: Exponential and Logarithmic Functions

Chapter 8: Techniques of Integration

Chapter 9: Further Applications of the Integral

Chapter 10: Introduction to Differential Equations

Chapter 11: Infinite Series

Chapter 12: Parametric Equations, Polar Coordinates, and Conic Sections

Chapter 13: Vector Geometry

Chapter 14: Calculus of Vector-Valued Functions

Chapter 15: Differentiation in Several Variables

Chapter 16: Multiple Integration

Chapter 17: Line and Surface Integrals

Chapter 18: Fundamental Theorems of Vector Analysis