Calculus and Analytic Geometry

Calculus and Analytic Geometry

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Description

This book is designed to reinforce ideas - new functions are not introduced and then abandoned; intstead, the authors have the ability to refer back to previously learned concepts and apply those ideas throughout the text. Mizrahi and Sullivan also excel at motivating new concepts. Motivation through concrete examples precedes theory and, wherever posible, the authors present geometric interpretations of difficult ideas (particularly in multivariable calculus). A new Differential Equations chapter meets the needs of instructors who include this material in their course. This book should be of interest to undergraduate students in engineering, physics, science, economics or mathematics who are studying calculus.show more

Product details

  • Hardback | 1276 pages
  • 203.2 x 259.08 x 55.88mm | 2,721.54g
  • Cengage Learning, Inc
  • Wadsworth Publishing Co Inc
  • Belmont, CA, United States
  • English
  • Revised
  • 3rd Revised edition
  • 0534116469
  • 9780534116460

Table of contents

Introduction. The limit of a function. The derivative. Applications of the derivative. The definite integral. Applications of the integral. Exponential and logarithmic functions. Trigonometric and hyberbolic functions. Techniques of integration. Indeterminate forms: improper integrals; taylor polynomials. Indefinite series. Conics. Polar coordinates; parametric equations. Vectors; analytical geometry in space. Vector functions. Partial derivatives. Directional derivative, gradient, and extrema. Multiple integrals. Topics in vector calculus. Differential equations.show more

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