The dynamism of the natural world means that it is constantly changing, sometimes rapidly, sometimes gradually. By mathematically interpreting the continuous change that characterizes so many natural processes, analysis and calculus have become indispensable to bridging the divide between mathematics and the sciences. This comprehensive volume examines the key concepts of calculus, providing students with a robust understanding of integration and differentiation. Biographies of important figures will leave readers with an increased appreciation for the sometimes competing theories that informe.;BOOK COVER; TITLE; COPYRIGHT; CONTENTS; INTRODUCTION; CHAPTER 1 MEASURING CONTINUOUS CHANGE; CHAPTER 2 CALCULUS; CHAPTER 3 DIFFERENTIAL EQUATIONS; CHAPTER 4 OTHER AREAS OF ANALYSIS; CHAPTER 5 HISTORY OF ANALYSIS; CHAPTER 6 GREAT FIGURES IN THE HISTORY OF ANALYSIS; CHAPTER 7 CONCEPTS IN ANALYSIS AND CALCULUS; GLOSSARY; BIBLIOGRAPHY; INDEX; BACK COVER.