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  • Calculus Essentials for dummies
  • 點閱:30
  • 作者: by Mark Ryan
  • 出版社:Wiley Publishing, Inc.
  • 出版年:c2010
  • 集叢名:--For dummies
  • ISBN:9780470618356; 9780470642672;
  • 格式:PDF

A new series extension of the For Dummies brand, The Essentials For Dummies will appeal to the huge number of readers who seek out focused, short form consumer reference books at the $9.99 price point. Positioned for students (and parents) who just want the key concepts and a few examples without the review, ramp-up, and anecdotal content The Essentials For Dummies series is a perfect solution for exam-cramming, homework help, and reference.

  • Introduction(第1頁)
    • About This Book(第1頁)
    • Conventions Used in This Book(第2頁)
    • Foolish Assumptions(第2頁)
    • Icons Used in This Book(第3頁)
    • Where to Go from Here(第3頁)
  • Chapter 1: Calculus: No Big Deal(第5頁)
    • So What Is Calculus Already?(第5頁)
    • Real-World Examples of Calculus(第7頁)
    • Differentiation(第8頁)
    • Integration(第9頁)
    • Why Calculus Works(第11頁)
  • Chapter 2: Limits and Continuity(第15頁)
    • Taking It to the Limit(第15頁)
    • Limits and Continuity(第22頁)
  • Chapter 3: Evaluating Limits(第25頁)
    • Easy Limits(第25頁)
    • “Real” Limit Problems(第26頁)
    • Limits at Infinity(第29頁)
  • Chapter 4: Differentiation Orientation(第33頁)
    • The Derivative: It’s Just Slope(第34頁)
    • The Derivative: It’s Just a Rate(第36頁)
    • The Derivative of a Curve(第39頁)
    • The Difference Quotient(第41頁)
    • Average and Instantaneous Rate(第47頁)
    • Three Cases Where the Derivative Does Not Exist(第48頁)
  • Chapter 5: Differentiation Rules(第49頁)
    • Basic Differentiation Rules(第49頁)
    • Derivative Rules for Experts(第53頁)
    • Differentiating Implicitly(第59頁)
  • Chapter 6: Differentiation and the Shape of Curves(第61頁)
    • A Calculus Road Trip(第61頁)
    • Local Extrema(第63頁)
    • Finding Absolute Extrema on a Closed Interval(第69頁)
    • Finding Absolute Extrema over a Function’s Entire Domain(第71頁)
    • Concavity and Inflection Points(第73頁)
    • Graphs of Derivatives(第75頁)
    • The Mean Value Theorem(第78頁)
  • Chapter 7: Differentiation Problems(第81頁)
    • Optimization Problems(第81頁)
    • Position, Velocity, and Acceleration(第83頁)
    • Acceleration(第89頁)
    • Related Rates(第91頁)
    • Linear Approximation(第96頁)
  • Chapter 8: Introduction to Integration(第101頁)
    • Integration: Just Fancy Addition(第101頁)
    • Finding the Area under a Curve(第103頁)
    • Approximating Area(第105頁)
    • Summation Notation(第113頁)
    • Finding Exact Area with the Definite Integral(第117頁)
  • Chapter 9: Integration: Backwards Differentiation(第119頁)
    • Antidifferentiation: Reverse Differentiation(第119頁)
    • The Annoying Area Function(第121頁)
    • The Fundamental Theorem(第124頁)
    • Fundamental Theorem: Take Two(第126頁)
    • Antiderivatives: Basic Techniques(第128頁)
  • Chapter 10: Integration for Experts(第137頁)
    • Integration by Parts(第137頁)
    • Tricky Trig Integrals(第141頁)
    • Trigonometric Substitution(第147頁)
    • Partial Fractions(第152頁)
  • Chapter 11: Using the Integral to Solve Problems(第157頁)
    • The Mean Value Theorem for Integrals and Average Value(第158頁)
    • The Area between Two Curves(第160頁)
    • Volumes of Weird Solids(第162頁)
    • Arc Length(第170頁)
    • Improper Integrals(第172頁)
  • Chapter 12: Eight Things to Remember(第177頁)
  • Index(第179頁)
紙本書 NT$ 320
單本電子書
NT$ 224

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