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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: $238.95 Edition: 5th Copyright year: 2003 Publisher: Brooks/Cole Publication date: 12/26/2002 Binding: Hardcover Pages: 576 Size: 8.75" wide x 10.00" long x 1.25" tall Weight: 3.080 Language: English

AuthorTable of Contents

Parametric Equations and Polar Coordinates

Curves Defined by Parametric Equations

Laboratory Project: Families of Hypocycloids

Tangents and Areas

Laboratory Project: Bezier Curves

Arc Length and Surface Area

Polar Coordinates

Areas and Lengths in Polar Coordinates

Conic Sections

Conic Sections in Polar Coordinates

Applied Project: Transfer Orbits

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 The Binomial Series

Writing Project: How Newton Discovered the Binomial Series

Applications of Taylor Polynomials

Applied Project: Radiation from the Stars

Review

Problems Plus

Vectors and the Geometry of Space

Three-Dimensional Coordinate Systems

Vectors

The Dot Product

The Cross Product

Discovery Project: The Geometry of a Tetrahedron

Equations of Lines and Planes

Quadric Surfaces

Cylindrical and Spherical Coordinates

Laboratory Project: Families of Surfaces

Review

Problems Plus

Vector Functions

Vector Functions and Space Curves

Derivatives and Integrals of Vector Functions

Arc Length and Curvature

Motion in Space: Velocity and Acceleration

Applied Project: Kepler?s Laws

Review

Problems Plus

Partial Derivatives Functions of Several Variables

Limits and Continuity

Partial Derivatives

Tangent Planes and Differentials

The Chain Rule

Directional Derivatives and the Gradient Vector

Maximum and Minimum Values

Applied Project: Designing a Dumpster

Discovery Project: Quadratic Approximations and Critical Points

Lagrange Multipliers

Applied Project: Rocket Science

Applied Project: Hydro-Turbine Optimization

Review

Problems Plus

Multiple Integrals

Double Integrals Over Rectangles

Iterated Integrals

Double Integrals over General Regions

Double Integrals in Polar Coordinates

Applications of Double Integrals

Surface Area

Triple Integrals

Discovery Project: Volumes of Hyperspheres

Triple Integrals in Cylindrical and Spherical Coordinates

Applied Project: Roller Derby

Discovery Project: The Intersection of Three Cylinders

Change of Variables in Multiple Integrals

Review

Problems Plus

Vector Calculus

Vector Fields

Line Integrals

The Fundamental Theorem for Line Integrals

Green?s Theorem

Curl and Divergence

Parametric Surfaces and Their Areas

Surface Integrals

Stokes? Theorem

Writing Project: Three Men and Two Theorems

The Divergence Theorem

Summary

Review

Problems Plus

Second-Order Differential Equations

Second-Order Linear Equations

Nonhomogeneous Linear Equations

Applications of Second-Order Differential Equations

Series Solutions

Review

Problems Plus

Appendixes

Numbers, Inequalities, and Absolute Values

Coordinate Geometry and Lines

Graphs of Second-Degree Equations

Trigonometry

Sigma Notation

Proofs of Theorems

The Logarithm Defined as an Integral

Complex Numbers

Answers to Odd-Numbered Exercises

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