Single Variable Calculus: Early Transcendentals (with Tools for Enriching Calculus, Video Skillbuilder CD-ROM, iLrn(TM) Homework, and Personal Tutor) [Hardcover]

James Stewart (Author)

Book Description

ISBN-10: 0534393306 | ISBN-13: 978-0534393304 | Publication Date: December 16, 2002 | Edition: 5

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.

Editorial Reviews

Review

Diagnostic Tests. A Preview of Calculus. 1. 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. 2. 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. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Review. 3. DIFFERENTIATION RULES. Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Derivatives of Logarithmic Functions. Rates of Change in the Natural and Social Sciences. Exponential Growth and Decay. Related Rates. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Hyperbolic Functions. Review. 4. 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. Newton's Method. Antiderivatives. Review. 5. 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. Review. 6. APPLICATIONS OF INTEGRATION. Areas between Curves. Volume. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Where to Sit at the Movies. Review. 7. 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. 8. 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. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. 9. DIFFERENTIAL EQUATIONS. Modeling with Differential Equations. Direction Fields and Euler's Method. Separable Equations. Applied Project: Which is Faster, Going Up or Coming Down? Models for Population Growth. Applied Project: Calculus and Baseball. Linear Equations. Predator-Prey Systems. Review. 10. 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. 11. 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. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the . Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. APPENDIXES. A. Numbers, Inequalities, and Absolute Values. B. Coordinate Geometry and Lines. C. Graphs of Second-Degree Equations. D. Trigonometry. E. Sigma Notation. F. Proofs of Theorems. G. The Logarithm Defined as an Integral. H. Complex Numbers. I. Answers to Odd-Numbered Exercises. --This text refers to the Paperback edition.

About the Author

James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford. Stewart is currently a Professor of Mathematics at McMaster University. His research field is harmonic analysis. James Stewart is the author of a best-selling calculus textbook series published by Brooks/Cole, including CALCULUS, Fifth Edition and CALCULUS: EARLY TRANSCENDENTALS, Fifth Edition, as well as a series of precalculus texts.

Product Details

• Hardcover: 850 pages
• Publisher: Brooks Cole; 5 edition (December 16, 2002)
• Language: English
• ISBN-10: 0534393306
• ISBN-13: 978-0534393304
• Product Dimensions: 9.9 x 8.6 x 1.4 inches
• Shipping Weight: 4.1 pounds (View shipping rates and policies)
• Average Customer Review: 3.7 out of 5 stars  See all reviews (3 customer reviews)
• Amazon Best Sellers Rank: #359,000 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

52 of 61 people found the following review helpful:

5.0 out of 5 stars DO NOT buy earlier editions for class--NOT same problems., October 23, 2004

By 

Rachel Garrett (La Mesa, CA) - See all my reviews
(REAL NAME)   

This review is from: Single Variable Calculus: Early Transcendentals (with Tools for Enriching Calculus, Video Skillbuilder CD-ROM, iLrn(TM) Homework, and Personal Tutor) (Hardcover)

Hey, this isn't a review. I just want to let you know that the people who claim that the fourth edition is the "same content" are trying to rip you off. The fourth edition is NOT the same as the fifth edition. The homework problems are NOT the same. If you get the fourth edition, you will not be able to complete your assignments for class if the instructor gives assignments out of the book.

These dishonest people are just trying to get you to pay lots of money for an old edition of a textbook they can't resell at their campus bookstore anymore. If you want the fourth edition, you can get it a lot cheaper under the actual listing for the fourth edition.

Don't be fooled!

18 of 19 people found the following review helpful:

3.0 out of 5 stars this coming from a student, October 22, 2004

By 

happysushi (San Diego, CA) - See all my reviews

This review is from: Single Variable Calculus: Early Transcendentals (with Tools for Enriching Calculus, Video Skillbuilder CD-ROM, iLrn(TM) Homework, and Personal Tutor) (Hardcover)

Having taken 3 Calculus classes in sequence at my university with this book and having used one chapter of this book in my 4th math class that I am currently in (differential equations), I would say that I've used most of this book. Let's just say that this book needs a professor to go along with it. There's really not much of a chance, unless you're really smart, that you can only use this book with no other study aids and understand all of the concepts presented. This book really is made for your math professor to more fully explain. Having said that, I must add that the CD-ROM enclosed is GREAT. I guess if you don't have your professor to go over the finer details of some of the more vague concepts, then this is the next best thing. The sounds-like-a-grad-student voice that explains each chapter in great detail is easy to understand and makes most concepts pretty clear. I have to say that this CD-ROM is saving me on my midterm.

3 of 4 people found the following review helpful:

3.0 out of 5 stars Inconsistent, December 9, 2004

By 

Ruoke Hu "Rocky" (Gainesville, FL USA) - See all my reviews
(REAL NAME)   

This review is from: Single Variable Calculus: Early Transcendentals (with Tools for Enriching Calculus, Video Skillbuilder CD-ROM, iLrn(TM) Homework, and Personal Tutor) (Hardcover)

This text, though very readable, teaches too much through example problems as opposed to actually explaining the information in the text. Presentation of some topics (chapter 6 particularly) was very poor. Some chapters were out of place (chapter 9 on differential equations, which should have been placed right before the last chapter).