An account of the essentials of calculus, presented in a style that is designed to be both readable and mathematically precise. Concepts and central ideas are emphasized throughout. Physical examples and interpretations play a leading role, and alternative approaches to fundamental ways of thinking are provided to help the student develop the intuitive understanding so important in science and engineering. Many questions and problems, with detailed solutions, are offered to encourage active reading and independent thought. The volume can either be used as a basic classroom text, as a self-study text, or as a supplement that will give the reader a grasp of calculus as a whole.