Calculus, 3rd Edition

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 third edition is a chapter on the 'Highlights of calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare. These can be accessed from math.mit.edu/~gs. Highlights of calculus -- Introduction to calculus -- Derivatives -- Applications of the derivative -- Derivatives by the chain rule -- Integrals -- Exponentials and logarithms -- Techniques of integration -- Applications of the integral -- Polar coordinates and complex numbers -- Infinite series -- Vectors and matrices -- Motion along a curve -- Partial derivatives -- Multiple integrals -- Vector calculus -- Mathematics after calculus