James Stewart Calculus Concepts 4th Edition Pdf

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About This Product. Stewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems.

Book Preface

James Stewart Calculus Concepts 4th Edition Pdf File

When the first edition of this book appeared twelve years ago, a heated debate about calculus reform was taking place. Such issues as the use of technology, the relevance of rigor, and the role of discovery versus that of drill were causing deep splits in mathematics departments. Since then the rhetoric has calmed down somewhat as reformers and traditionalists have realized that they have a common goal: to enable students to understand and appreciate calculus.

Stewart

James Stewart Calculus Textbook Pdf

The first three editions were intended to be a synthesis of reform and traditional approaches to calculus instruction. In this fourth edition I continue to follow that path by emphasizing conceptual understanding through visual, verbal, numerical, and algebraic approaches. I aim to convey to the student both the practical power of calculus and the intrinsic beauty of the subject.

The principal way in which this book differs from my more traditional calculus textbooks is that it is more streamlined. For instance, there is no complete chapter on techniques of integration; I don’t prove as many theorems (see the discussion on rigor on page xv); and the material on transcendental functions and on parametric equations is interwoven throughout the book instead of being treated in separate chapters. Instructors who prefer fuller coverage of traditional calculus topics should look at my books Calculus, Sixth Edition, and Calculus: Early Transcendentals, Sixth Edition.

What’s New In the Fourth Edition?

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 stewartcalculus.com).
■ The majority of examples now have titles.
■ Some material has been rewritten for greater clarity or for better motivation. See, for instance, the introduction to maximum and minimum values on pages 262–63and the introduction to series on page 565.
■ New examples have been added and the solutions to some of the existing examples have been amplified. For instance, I added details to the solution of Example 2.3.10 because when I taught Section 2.3 last year I realized that students need more guidance when setting up inequalities for the Squeeze Theorem.
■ A number of pieces of art have been redrawn.
■ The data in examples and exercises have been updated to be more timely.
■ In response to requests of several users, the material motivating the derivative is briefer: The former sections 2.6 and 2.7 have been combined into a single section called Derivatives and Rates of Change.
■ The section on Rates of Change in the Natural and Social Sciences has been moved later in Chapter 3 (Section 3.8) in order to incorporate more differentiation rules.
■ Coverage of inverse trigonometric functions has been consolidated in a single dedicated section (3.6).
■ The former sections 4.6 and 4.7 have been merged into a single section, with a briefer treatment of optimization problems in business and economics.
■ There is now a full section on volumes by cylindrical shells (6.3).
■ Sections 8.7 and 8.8 have been merged into a single section. I had previously featured the binomial series in its own section to emphasize its importance. But I learned that some instructors were omitting that section, so I decided to incorporate binomial series into 8.7.
■ More than 25% of the exercises in each chapter are new. Here are a few of my favorites: 2.5.46, 2.5.49, 2.8.6 –7, 3.3.50, 3.5.45– 48, 4.3.49–50, 5.2.47– 49, 8.2.35, 9.1.42, and 11.8.20–21.
■ There are also some good new problems in the Focus on Problem Solving sections. See, for instance, Problem 5 on page 252, Problems 17 and 18 on page 429, Problem 15 on page 492, Problem 13 on page 632, and Problem 9 on page 736.
■ The new project on page 475, Complementary Coffee Cups, comes from an article by Thomas Banchoff in which he wondered which of two coffee cups, whose convex and concave profiles fit together snugly, would hold more coffee.

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