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Stewart's CALCULUS: EARLY TRANSCENDENTALS, 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. The structure of CALCULUS: EARLY TRANSCENDENTALS, Fifth Edition, remains largely unchanged, the sole exception being that the review of inverse trigonometric functions has been moved from an appendix to Section 1.6. Stewart has made hundreds of small improvements: new examples,… More 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 using this text are using the best resource available. The number of pages in the book, however, remains unchanged from the 4th edition. This edition is complemented with and expanded array of supplementary material for both students and instructors. These best-selling texts differ from CALCULUS, Fifth Edition in that the exponential and logarithmic functions are covered earlier. In the Fifth Edition of CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions.Less

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Book details

List price: $337.95 Edition: 5th Copyright year: 2003 Publisher: Brooks/Cole Publication date: 12/16/2002 Binding: Hardcover Pages: 850 Size: 8.75" wide x 10.00" long x 1.25" tall Weight: 4.796 Language: English

AuthorTable of Contents

Functions And Models

Four Ways to Represent a Function

Mathematical Models: A Catalog of Essential Functions

New Functions from Old Functions

Graphing Calculators and Computers

Exponential Functions

Inverse Functions and Logarithms

Review

Principles of Problem Solving

Limits And Derivatives

The Tangent and Velocity Problems

The Limit of a Function

Calculating Limits Using the Limit Laws

The Precise Definition of a Limit

Continuity

Limits at Infinity; Horizontal Asymptotes

Tangents, Velocities, and Other Rates of Change

Derivatives

Writing Project: Early Methods for Finding Tangents

The Derivative as a Function

Review

Problems Plus

Differentiation Rules

Derivatives of Polynomials and Exponential Functions

The Product and Quotient Rules

Rates of Change in the Natural and Social Sciences

Derivatives of Trigonometric Functions

The Chain Rule

Implicit Differentiation

Higher Derivatives, Applied Project: Where Should a Pilot Start Descent? , Applied Project: Building a Better Roller Coaster

Derivatives of Logarithmic Functions

Hyperbolic Functions

Related Rates

Linear Approximations and Differentials, Laboratory Project: Taylor Polynomials

Review

Problems Plus

Applications Of Differentiation

Maximum and Minimum Values, Applied Project: The Calculus of Rainbows

The Mean Value Theorem

How Derivatives Affect the Shape of a Graph

Indeterminate Forms and L''Hospital''s Rule, Writing Project: The Origins of L''Hospital''s Rule

Summary of Curve Sketching

Graphing with Calculus and Calculators

Optimization Problems, Applied Project: The Shape of a Can

Applications to Business and Economics

Newton''s Method

Antiderivatives

Review

Problems Plus

Integrals

Areas and Distances

The Definite Integral, Discovery Project: Area Functions

The Fundamental Theorem of Calculus

Indefinite Integrals and the Net Change Theorem, Writing Project: Newton, Leibniz and the Invention of Calculus

The Substitution Rule

The Logarithm Defined as an Integral

Review

Problems Plus

Applications Of Integration

Areas between Curves

Volume

Volumes by Cylindrical Shells

Work

Average Value of a Function, Applied Project: Where to Sit at the Movie

Review

Problems Plus

Techniques Of Integration

Integration by Parts

Trigonometric Integrals

Trigonometric Substitution

Integration of Rational Functions by Partial Fractions

Strategy for Integration

Integration Using Tables and Computer Algebra Systems, Discovery Project: Patterns in Integrals

Approximate Integration

Improper Integrals

Review

Problems Plus

Further Applications Of Integration

Arc Length

Discovery Project: Arc Length Contest .Area of a Surface of Revolution, Discovery Project: Rotating on a Slant

Applications to Physics and Engineering

Applications to Economics and Biology

Probability

Review

Problems Plus

Differential Equations

Modeling with Differential Equations

Direction Fields and Euler''s Method

Separable Equations, Applied Project: How Fast Does a Tank Drain?, Applied Project: Which is Faster, Going Up or Coming Down? Exponential Growth and Decay, Applied Project: Calculus and Baseball

The Logistic Equation

Linear Equations

Predator-Prey Systems

Review

Problems Plus

Parametric Equations And Polar Coordinates

Curves Defined by Parametric Equations, Laboratory Project: Families of Hypocycloids

Calculus with Parametric Curves, Laboratory Project: Bezier Curves

Polar Coordinates

Areas and Lengths in Polar Coordinates

Conic Sections

Conic Sections in Polar Coordinates

Review

Problems Plus

Infinite Sequences And Series

Sequences, Laboratory Project: Logistic Sequences

Series

The Integral Test and Estimates of Sums

The Comparison Tests

Alternating Series

Absolute Convergence and the Ratio and Root Tests

Strategy for Testing Series

Power Series

Representation of Functions as Power Series

Taylor and Maclaurin Series

Laboratory Project: An Ellusive Limit

The Binomial Series, Writ

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