# Essential Calculus: Early Transcendentals 2nd Edition

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Book Preface

This book is a response to those instructors who feel that calculus textbooks are too big. In writing the book I asked myself: What is essential for a three-semester calculus course for scientists and engineers?

The book is about two-thirds the size of my other calculus books (Calculus, Seventh Edition and Calculus, Early Transcendentals, Seventh Edition) and yet it contains almost all of the same topics. I have achieved relative brevity mainly by condensing the exposition and by putting some of the features on the website www.stewartcalculus. com. Here, in more detail are some of the ways I have reduced the bulk:
■ I have organized topics in an efficient way and rewritten some sections with briefer exposition.
■ The design saves space. In particular, chapter opening spreads and photographs have been eliminated.
■ The number of examples is slightly reduced. Additional examples are provided online.
■ The number of exercises is somewhat reduced, though most instructors will find that there are plenty. In addition, instructors have access to the archived problems on the website.
■ Although I think projects can be a very valuable experience for students, I have removed them from the book and placed them on the website.
■ A discussion of the principles of problem solving and a collection of challenging problems for each chapter have been moved to the website. Despite the reduced size of the book, there is still a modern flavor: Conceptual understanding and technology are not neglected, though they are not as prominent as in my other books.

ALTERNATE VERSIONS

I have written several other calculus textbooks that might be preferable for some instructors. Most of them also come in single variable and multivariable versions.
■ Essential Calculus, Second Edition, is similar to the present textbook except that the logarithm is defined as an integral and so the exponential, logarithmic, and inverse trigonometric functions are covered later than in the present book.
■ Calculus: Early Transcendentals, Seventh Edition, has more complete coverage of calculus than the present book, with somewhat more examples and exercises.
■ Calculus: Early Transcendentals, Seventh Edition, Hybrid Version, is similar to Calculus: Early Transcendentals, Seventh Edition, in content and coverage except that all of the end-of-section exercises are available only in Enhanced WebAssign. The printed text includes all end-of-chapter review material.
■ Calculus, Seventh Edition, is similar to Calculus: Early Transcendentals, Seventh Edition, except that the exponential, logarithmic, and inverse trigonometric functions are covered in the second semester. It is also available in a Hybrid Version.
■ Calculus: Concepts and Contexts, Fourth Edition, emphasizes conceptual understanding. The coverage of topics is not encyclopedic and the material on transcendental functions and on parametric equations is woven throughout the book instead of being treated in separate chapters. It is also available in a Hybrid Version.
■ Calculus: Early Vectors introduces vectors and vector functions in the first semester and integrates them throughout the book. It is suitable for students taking Engineering and Physics courses concurrently with calculus.
■ Brief Applied Calculus is intended for students in business, the social sciences, and the life sciences. It is also available in a Hybrid Version.