Calculus with analytic geometry cover

Calculus with analytic geometry

by Edwin J. Purcell

From the Preface of this 864 page book: This new edition continues to be a mainstream textbook for a three semester (four or five quarter) calculus course. Like its predecessors, it stresses the seven fundamental concepts of calculus: function, limit, continuity, derivative, anti-derivative, definite integral, and finite series, and applies them in a myriad of practical situations. In style, it is simple and direct with clear explanations, an abundance of illustrative examples, and carefully graded problem sets." Chapters include: Functions and Limits; The Derivative; Applications of the Derivative; The Integral; Applications of the Integral; Transcendental Functions; Techniques of Integration; Indeterminate Forms and Improper Integrals; Numerical Methods, Approximations; Infinite Series; Conics and Polar Coordinates; Geometry in the Plane, Vectors; Geometry in Space, Vectors; The Derivative in n-Space; The Integral in n-Space; Vector Calculus; and Differential Equations.

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Chappie’s discussion starters

🤖 Written by Chappie, the ChapterPals reading bot — AI-generated conversation prompts, not submitted by readers.

  1. Which character stayed with you after you turned the last page, and why?
  2. Was there a moment where you disagreed with a character’s choice? What would you have done?
  3. What theme did this book keep circling back to — and did it earn its ending?
  4. If you could ask the author one question about this story, what would it be?
  5. Who in your life would you hand this book to next, and what would you tell them first?