Preface

Preface
This textbook supports a three-semester or four-quarter calculus sequence typically taken by
students in mathematics, engineering, and the natural sciences. Our approach is based on many
years of teaching calculus at diverse institutions using the best teaching practices we know.
This book is an extended version of Calculus: Early Transcendentals by the same
authors. It contains an entire chapter devoted to differential equations and complete sections
on Newton’s method, surface area of solids of revolution, hyperbolic functions, and
integration strategies. Most sections of the book contain additional exercises; in fact, 19%
of the exercises are new to this series.
Throughout this book, like its predecessor, a concise and lively narrative motivates
the ideas of calculus. All topics are introduced through concrete examples, applications,
and analogies rather than through abstract arguments. We appeal to students’ intuition and
geometric instincts to make calculus natural and believable. Once this intuitive foundation
is established, generalizations and abstractions follow. Our coverage of proofs is typical
of books at this level. Users of the initial version tell us that the text’s exposition mirrors
their lectures. Instructors also find that their students actually read the book. Reviewers of
the new topics report that the narrative is just as clear and engaging