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 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