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Calculus 5th Edition by James Stewart ISBN 0534393217 9780534393212

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Calculus 5th Edition James Stewart Digital Instant Download

Author(s): James Stewart
ISBN(s): 9780534393212, 0534393217
Edition: 5
File Details: PDF, 75.49 MB
Language: english
SKU: EB-1105206 Category: Tag:

Calculus 5th Edition by James Stewart – Ebook PDF Instant Download/Delivery:0534393217, 9780534393212
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Product details: 

ISBN 10: 0534393217 

ISBN 13: 9780534393212

Author: James Stewart

Stewart’s CALCULUS, Fifth Edition has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that have characterized the first four editions. Stewart retains the focus on problem solving and the pedagogical system that has made the book a favorite of students and instructors in a wide variety of colleges and universities throughout the world. In this Fifth Edition, he has made hundreds of small improvements: new examples, additional steps in existing examples, updating of data in existing examples and exercises, new phrases and margin notes to clarify the exposition, references to other sources and web sites, redrawn art, and references to the TEC CD (Tools for Enriching Calculus). These refinements ensure that students and instructors have the best materials available. The number of pages in the book, however, remains unchanged from the 4th edition. Further support for students and instructors is now available through a vast array of supplementary material.

Table of contents: 

Functions and Models

Four Ways to Represent a Function

Mathematical Models: A Catalog of Essential Functions

New Functions from Old Functions

Exponential Functions

Inverse Functions and Logarithms

Parametric Curves

Limits and Derivatives

The Tangent and Velocity Problems

The Limit of a Function

Calculating Limits Using the Limit Laws

Continuity

Limits Involving Infinity

Derivatives and Rates of Change

The Derivative as a Function

Differentiation Rules

Derivatives of Polynomials and Exponential Functions

The Product and Quotient Rules

Derivatives of Trigonometric Functions

The Chain Rule

Implicit Differentiation

Inverse Trigonometric Functions and Their Derivatives

Derivatives of Logarithmic Functions

Rates of Change in the Natural and Social Sciences

Linear Approximations and Differentials

Applications of Differentiation

Related Rates

Maximum and Minimum Values

Derivatives and the Shapes of Curves

Graphing with Calculus and Calculators

Indeterminate Forms and L’Hospital’s Rule

Optimization Problems

Newton’s Method

Antiderivatives

Integrals

Areas and Distances

The Definite Integral

Evaluating Definite Integrals

The Fundamental Theorem of Calculus

The Substitution Rule

Integration by Parts

Additional Techniques of Integration

Integration Using Tables and Computer Algebra Systems

Approximate Integration

Improper Integrals

Applications of Integration

More about Areas

Volumes

Volumes by Cylindrical Shells

Arc Length

Average Value of a Function

Applications to Physics and Engineering

Applications to Economics and Biology

Probability

Differential Equations

Modeling with Differential Equations

Direction Fields and Euler’s Method

Separable Equations

Exponential Growth and Decay

The Logistic Equation

Predator-Prey Systems

Infinite Sequences and Series

Sequences

Series

The Integral and Comparison Tests; Estimating Sums

Other Convergence Tests

Power Series

Representations of Functions as Power Series

Taylor and Maclaurin Series

Applications of Taylor Polynomials

Vectors and the Geometry of Space

Three-Dimensional Coordinate Systems

Vectors

The Dot Product

The Cross Product

Equations of Lines and Planes

Functions and Surfaces

Cylindrical and Spherical Coordinates

Vector Functions

Vector Functions and Space Curves

Derivatives and Integrals of Vector Functions

Arc Length and Curvature

    • Motion in Space: Velocity and Acceleration
    • Parametric Surfaces

  • Partial Derivatives

    • Functions of Several Variables
    • Limits and Continuity
    • Partial Derivatives
    • Tangent Planes and Linear Approximations
    • The Chain Rule
    • Directional Derivatives and the Gradient Vector
    • Maximum and Minimum Values
    • Lagrange Multipliers

  • **Multiple

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