Essential Calculus: Early Transcendentals 2nd Edition
Genres: Mathematics
Book Description
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.
■ 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.
WHAT’S NEW IN THE SECOND EDITION?
The changes have resulted from talking with my colleagues and students at the University of Toronto and from reading journals, as well as suggestions from users and reviewers. Here are some of the many improvements that I’ve incorporated into this edition:
■ At the beginning of the book there are four diagnostic tests, in Basic Algebra, Analytic Geometry, Functions, and Trigonometry. Answers are given and students who don’t do well are referred to where they should seek help (Appendixes, review sections of Chapter 1, and the website).
■ Section 7.5 (Area of a Surface of Revolution) is new. I had asked reviewers if there was any topic missing from the first edition that they regarded as essential. This was the only topic that was mentioned by more than one reviewer.
■ Some material has been rewritten for greater clarity or for better motivation. See, for instance, the introduction to maximum and minimum values on pages 203–04 and the introduction to series on page 436.
■ New examples have been added (see Example 4 on page 725 for instance). And the solutions to some of the existing examples have been amplified. A case in point: I added details to the solution of Example 1.4.9 because when I taught Section 1.4 from the first edition I realized that students need more guidance when setting up inequalities for the Squeeze Theorem.
■ The data in examples and exercises have been updated to be more timely.
■ Several new historical margin notes have been added.
■ About 40% of the exercises are new. Here are some of my favorites: 1.6.43, 2.2.13–14, 2.5.59, 2.6.39– 40, 3.2.70, 4.3.66, 5.3.44–45, 7.6.24, 8.2.29–30, 8.7.67–68, 10.1.38, 10.4.43– 44
■ The animations in Tools for Enriching Calculus (TEC) have been completely redesigned and are accessible in Enhanced WebAssign, CourseMate, and PowerLecture.
■ Section 7.5 (Area of a Surface of Revolution) is new. I had asked reviewers if there was any topic missing from the first edition that they regarded as essential. This was the only topic that was mentioned by more than one reviewer.
■ Some material has been rewritten for greater clarity or for better motivation. See, for instance, the introduction to maximum and minimum values on pages 203–04 and the introduction to series on page 436.
■ New examples have been added (see Example 4 on page 725 for instance). And the solutions to some of the existing examples have been amplified. A case in point: I added details to the solution of Example 1.4.9 because when I taught Section 1.4 from the first edition I realized that students need more guidance when setting up inequalities for the Squeeze Theorem.
■ The data in examples and exercises have been updated to be more timely.
■ Several new historical margin notes have been added.
■ About 40% of the exercises are new. Here are some of my favorites: 1.6.43, 2.2.13–14, 2.5.59, 2.6.39– 40, 3.2.70, 4.3.66, 5.3.44–45, 7.6.24, 8.2.29–30, 8.7.67–68, 10.1.38, 10.4.43– 44
■ The animations in Tools for Enriching Calculus (TEC) have been completely redesigned and are accessible in Enhanced WebAssign, CourseMate, and PowerLecture.
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