简介
The mere thought of having to take a required calculus courseis enough to make legions of students break out in a cold sweat.Others who have no intention of ever studying the subject have thisnotion that calculus is impossibly difficult unless you happen tobe a direct descendant of Einstein. Well, the good news is that youcan master calculus. It's not nearly as tough as its mystique wouldlead you to think. Much of calculus is really just very advancedalgebra, geometry, and trig. It builds upon and is a logicalextension of those subjects. If you can do algebra, geometry, andtrig, you can do calculus. Calculus For Dummies is intended forthree groups of readers: Students taking their first calculuscourse -- If you're enrolled in a calculus course and you find yourtextbook less than crystal clear, this is the book for you. Itcovers the most important topics in the first year of calculus:differentiation, integration, and infinite series. Students whoneed to brush up on their calculus to prepare for other studies --If you've had elementary calculus, but it's been a couple of yearsand you want to review the concepts to prepare for, say, somegraduate program, Calculus For Dummies will give you a thorough,no-nonsense refresher course. Adults of all ages who'd like a goodintroduction to the subject -- Non-student readers will find thebook's exposition clear and accessible. Calculus For Dummies takescalculus out of the ivory tower and brings it down to earth. Thisis a user-friendly math book. Whenever possible, the authorexplains the calculus concepts by showing you connections betweenthe calculus ideas and easier ideas from algebra and geometry.Then, you'll see how the calculus concepts work in concreteexamples. All explanations are in plain English, not math-speak.Calculus For Dummies covers the following topics and more: *Real-world examples of calculus * The two big ideas of calculus:differentiation and integration * Why calculus works * Pre-algebraand algebra review * Common functions and their graphs * Limits andcontinuity * Integration and approximating area * Sequences andseries Don't buy the misconception. Sure calculus is difficult --but it's manageable, doable. You made it through algebra, geometry,and trigonometry. Well, calculus just picks up where they leave off-- it's simply the next step in a logical progression.
目录
Introduction.
Part I: An Overview of Calculus.Chapter 1: What Is Calculus?Chapter2: The Two Big Ideas of Calculus: Differentiation andIntegration.Chapter 3: Why Calculus Works.
Part II: Warming Up with Calculus Prerequisites.Chapter 4:Pre-Algebra and Algebra Review.Chapter 5: Funky Functions and TheirGroovy Graphs.Chapter 6: The Trig Tango.
Part III: Limits.Chapter 7: Limits and Continuity.Chapter 8:Evaluating Limits.
Part IV: Differentiation.Chapter 9: DifferentiationOrientation.Chapter 10: Differentiation Rules - Yeah, Man, ItRules.Chapter 11: Differentiation and the Shape of Curves.Chapter12: Your Problems Are Solved: Differentiation to the Rescue!
Part V: Integration and Infinite Series.Chapter 13: Intro toIntegration and Approximating Area.Chapter 14: Integration: It'sBackwards Differentiation.Chapter 15: Integration Techniques forExperts.Chapter 16: Forget Dr. Phil: Use the Integral to SolveProblems.Chapter 17: Infinite Series.
Part VI: The
Part of Tens.Chapter 18: Ten Things to Remember.Chapter 19: TenThings to Forget.Chapter 20: Ten Things You Can't Get AwayWith.Index.
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