Calculus and Analytic Geometry

Calculus and Analytic Geometry

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Description

This mathematically challenging and precise text covers trigonometric and logarithmic functions, and differential equations early, with Numerical methods gathered in a single chapter. Applications of the integral precede techniques of integration and include probability distributions, areas, volumes and length, areas of surfaces of rotation, work and fluid pressure. Problem sets are large, well-graded and cover a wide range of applications, including optional computer exercises. Coverage of moments of continuously distributed masses is delayed until the multivariable chapter, where multivariable differential calculus is divided into two and three variables, and one primarily with differentiability and its consequences. Tables of integration and their use has a special section in the coverage of techniques of integration, and the coverage of vector field theory is thoroughly and carefully presented. This book should be of interest to degree and diploma students on calculus courses in departments of mathematics, engineering or physical sciences; a background in algebra and trigonometry is a prerequisite.show more

Product details

  • Hardback | 1024 pages
  • 208.28 x 259.08 x 10.16mm | 2,063.83g
  • Cengage Learning, Inc
  • Wadsworth Publishing Co Inc
  • Belmont, CA, United States
  • English
  • Teacher’s edition
  • Instructor's ed.
  • 0534082025
  • 9780534082024

Table of contents

Functions, limits and continuity. The derivative. Applications of the derivatives. The integral. Applications of the integral. Logarithmic and exponential functions. Inverse trigonometric functions and hyperbolic functions. Techniques of integration. Numerical methods. Indeterminate forms and improper integrals. Infinite series. The conic sections. Parametric equations and polar coordinates. Vectors in two and three dimensions. Vector-valued functions. Functions of several variables. Multivariable differential calculus. Multiple integrals. Vector field theory. Differential equations.show more