Gilbert Strang’s clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study.

Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students’ understanding.

New to the second edition is a chapter on the ‘Highlights of Calculus’, which accompanies the popular video lectures by the author on MIT’s OpenCourseWare.

Chapter 0: Highlights of Calculus

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

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

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