Calculus Early Transcendentals

ISBN-10: 0534393217
ISBN-13: 9780534393212
Edition: 5th 2003
Authors: James Stewart
List price: $255.95
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Description: 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  More...

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Book details

List price: $255.95
Edition: 5th
Copyright year: 2003
Publisher: Brooks/Cole
Publication date: 12/24/2002
Binding: Hardcover
Pages: 1320
Size: 8.50" wide x 10.00" long x 2.00" tall
Weight: 6.380
Language: English

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, 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.

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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