Calculus has two main sub-disciplines: differential calculus and integral calculus. Differential calculus concerns itself with rates of change
described by mathematical quantity called the derivative. Integral calculus is concerned with a generalised type of addition of quantities described by a mathematical quantity called the integral.
This self-teaching guide will explain this panorama of ideas in a step-by-step and accessible manner. Well-chosen examples and exercises will reinforce the ideas being presented. Frequent review, assessment, and application of the ideas will help students to retain and to internalise all of the important concepts
Steven G. Krantz is the Chairman of the Mathematics Department at Washington University in St. Louis. An award-winning teacher and author, Dr. Krantz has written more than 30 books on mathematics including a best-seller.
Preface Chapter 1: Basics Chapter 2: Foundations of Calculus Chapter 3: Applications of the Derivative Chapter 4: The Integral Chapter 5: Indeterminate Forms Chapter 6: Transcendental Functions Chapter 7: Methods of Integration Chapter 8: Applications of the Integral Bibliography Solutions to Exercises Final Exam Index