Chapter 1: Introduction to Calculus -- Chapter 2: Derivatives -- Chapter 3: Applications of the Derivative -- Chapter 4: The Chain Rule -- Chapter 5: Integrals -- Chapter 6: Exponentials and Logarithms -- Chapter 7: Techniques of Integration -- Chapter 8: Applications of the Integral -- Chapter 9: Polar Coordinates and Complex Numbers -- Chapter 10: Infinite Series -- Chapter 11: Vectors and Matrices -- Chapter 12: Motion along a Curve -- Chapter 13: Partial Derivatives -- Chapter 14: Multiple Integrals -- Chapter 15: Vector Calculus -- Chapter 16: Mathematics after Calculus
Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.