Auto boutiques-francophones Simple and secure cloud storage fallcleaning Crocktober Music Deals Store NFL Tools
CDN$ 145.85
  • List Price: CDN$ 156.95
  • You Save: CDN$ 11.10 (7%)
In Stock.
Ships from and sold by Gift-wrap available.
Calculus: Early Transcend... has been added to your Cart
Have one to sell?
Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See this image

Calculus: Early Transcendentals, Hybrid Edition (with Enhanced WebAssign with eBook Printed Access Card for Multi Term Math and Science) Paperback – Jan 19 2011

1 customer review

See all 5 formats and editions Hide other formats and editions
Amazon Price
New from Used from
"Please retry"
CDN$ 145.85
CDN$ 145.85 CDN$ 27.41

No Kindle device required. Download one of the Free Kindle apps to start reading Kindle books on your smartphone, tablet, and computer.

  • Apple
  • Android
  • Windows Phone
  • Android

To get the free app, enter your e-mail address or mobile phone number.

Product Details

  • Paperback: 1056 pages
  • Publisher: Brooks Cole; 7 edition (Jan. 19 2011)
  • Language: English
  • ISBN-10: 1111426686
  • ISBN-13: 978-1111426682
  • Product Dimensions: 25.1 x 21.3 x 3.6 cm
  • Shipping Weight: 1.8 Kg
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: #132,341 in Books (See Top 100 in Books)
  • See Complete Table of Contents

Product Description


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 Metho. 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. 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. 12. 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. 13. 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. 14. 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. 15. 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. 16. 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. 17. SECOND-ORDER DIFFERENTIAL EQUATIONS. Second-Order Linear Equations. Nonhomogeneous Linear Equations. Applications of Second-Order Differential Equations. Series Solutions. 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.

About the Author

The late 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 University. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

Inside This Book

(Learn More)
Browse and search another edition of this book.
Browse Sample Pages
Front Cover | Copyright | Table of Contents | Excerpt | Index
Search inside this book:

What Other Items Do Customers Buy After Viewing This Item?

Customer Reviews

5.0 out of 5 stars
5 star
4 star
3 star
2 star
1 star
See the customer review
Share your thoughts with other customers

Most helpful customer reviews

By Stacey Noddin on June 24 2015
Format: Hardcover Verified Purchase
Very happy with the book. It was excellent for my daughters course.
Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again.

Most Helpful Customer Reviews on (beta) 568 reviews
149 of 159 people found the following review helpful
Excellent but Dense: A comparative Review Jan. 24 2006
By R. Markham - Published on
Format: Hardcover
I took calculus over 20 years ago using a book by Howard Anton. Wanting to brush up on my skills, I recently took a Calc II and Calc III course for review. The book I used this time around was Stewart's "Calculus", 5th edition. I thought it would be a breeze, but trust me, after 20 years, it wasn't. Thinking there might be a more helpful calculus book out there I decided to see what else might be available. In my search I came across several other excellent calculus books, but after all was said and done, I have to say that the Stewart textbook is really one of the best.

One of the of the calculus books that almost always received a lot of praise was "Calculus With Analytic Geometry", by Ron Larson. In fact it received such high praises, I found a good deal on a used copy of the seventh edition and bought it to supplement the Stewart text. And I have to admit, I found the layout in the Larson text to be much better than the Stewart text. With Stewart, I was constantly having to highlight things and draw in boxes or add notes to show where examples ended and text began, or what an example was supposed to be teaching, or what specific step in an example was key. In the Larson text, all of this is nicely laid out. Each example is labeled to indicate what it is about, and colored text, annotations, arrows, etc. are used to clearly show where the important points are. When it came to explanations though, I did not find the Larson text to give any better explanations than the Stewart text. In fact, I often felt the Stewart text provided slightly better explanations. I would read the Stewart text and then read the Larson text and think, "Gee, I'm glad Stewart pointed this or that out". Overall though, the differences were minor. In fact, sometimes it seemed that the text was almost identical, and it was only after careful reading that the differences could be noted.

In at least one case, Larson presents material I haven't seen anywhere else that really simplifies some integrals, and that is the tablature method, which is just a short hand way of doing multiple integration by parts, but it can really save you a lot of time.

As a main text for a multi-semester course in calculus, either the Stewart or the Larson text would be excellent. I found the Stewart text to be less inviting and slightly more difficult to read, but generally, (with a few exceptions), a little more thorough overall.

Another excellent book to supplement any calculus text is "The Calculus Tutoring Book" by Carol and Robert Ash. This book covers most of the material covered in a standard text like Stewart's or Larson's, but in a much friendlier style. It strips away a lot of the formalism found in a standard text so that what you are left with is a practical guide to doing calculus problems. It is not packaged with a bunch of computer generated graphs and figures. Instead everything is hand sketched. At first this may seem like a drawback, but once you get used to it, you realize how much you can do with your own pencil and paper. In my opinion, this is one of the best supplemental calculus texts you can buy. It would even serve as an excellent review book in its own right.

One other calculus text that I came across and really liked was "Calculus: An Intuitive and Physical Approach" by Morris Kline. It does not follow along quite as nicely with a standard calculus sequence and so isn't quite as easy to use as a supplement, but when I did use this book, I found the explanations to be very clear and useful.

So there it is. Stewart's Calculus, 5th edition, is an excellent text even though it is a little difficult to read sometimes. Larson's "Calculus With Analytic Geometry", seventh edition, runs a very close second, with some advantages not found in the Stewart text. Since both of these are very formal calculus texts though, "The Calculus Tutoring Book" by Carol and Robert Ash is an excellent supplemental book to consider as it offers a friendlier, more practical perspective. And if you still haven't had enough, "Calculus: An Intuitive and Physical Approach" by Morris Kline is well written and provides additional insight and perspective.

As a footnote, though I imagine the review about the cover of Stewart's text was meant to be tongue in cheek, I personally like the cover and find that it works well on several levels. Although the f-hole of a violin and the integration symbol of calculus have nothing to do with each other, it is a nice visual image, and if one thinks of the violin as an instrument used in performing some of the greatest works in the world of music, calculus may be thought of as an instrument used in performing some of the greatest calculations in the world of math. Finally, the image was mathematically generated, so all in all, I don't think it's a bad choice for the cover of this text.
129 of 138 people found the following review helpful
Why Such Varied Reviews? Feb. 26 2004
By A Customer - Published on
Format: Hardcover
There is a reason why the reviews of Stewart's Calculus textbook vary so widely. It's because Stewart is challenging. Some instructors favor Stewart because they are steeped enough in the Math to appreciate Stewart's applications and explanations of Calculus's uses in so many fields of study. But students who struggle with Math may have a difficult time with Stewart's rigor, and his algebraic/conceptual jumps. Let's review some specific qualities of this book:
o Text: The text is pretty clearly written, with no errors I know of, but makes some conceptual leaps periodically.
o Layout: The layout is excellent. It makes great use of consistent color coding and typographical conventions to identify classes of concepts. (I.e., It's always easy to spot and distinguish Examples, Proofs, Rules, and New Sections.)
However, there are some algebraic manipulations that are sometimes combined into one line that should probably be expanded out and explained better. Even though students are expected to understand the algebra at this point, it's often crucial to explain _why_ certain algebraic manipulations are being done. Usually there is a certain form of an expression or equation that is useful or desirable for a specific reason. Such reasons need to be explicated side-by-side with the steps to reach the desired form, instead of just skipping to the desired form (as sometimes is done).
o Terminology: In some places Stewart talks about "constants" when what he really means are "scalars." There is a distinction between these two concepts that is important in other fields of math that could be confused. He also uses different letters to identify "any real number" or "a particular real number" than is standard in many other texts. This also could lead to confusion.
o Graphics: The integration (pun intended :) of graphs and diagrams to supplement functions, step-by-step processes, and proof descriptions in this text is frequent, helpful, and very well done.
o Exercises: The exercises for each section start off easy and in close step with the concepts and example problems that have been demonstrated in the preceding section. However, Stewart's problems ramp up in difficulty quickly. Exercises in the the middle or near the end of a set often have no direct prototypes in the preceding text for students to lean on. Some instructors might consider this an asset, but when assigned carelessly can be a frustration to students. One improvement from Fourth Edition to Fifth Edition was the "red flagging" of many exercises of especial difficulty.
o Proofs: Simple theorems and rules are proved in the text as they are introduced. More complicated proofs are provided in appendices in the back. The text is pretty thorough about proofs.
o Worst section: I think the hardest section for students to understand (and unfortunately one of the most important in Calculus) is the section titled "The Precise Definition of a Limit". Stewart has a habit in this section, when manipulating an absolute value of epsilon expression, to abbreviate it all on one line without explaining _why_ he is performing the operations that he is. He should expand these out to multiple algrebraic lines, possibly with some text explaining that he is trying to get the epsilon expression to match the delta expression. It is impossible to be too verbose, explicit, and careful with this section. And certainly more of each of these could be used in Stewart's rendition.
Other reviewers mentioned the sections on the Chain Rule, Integration by Substitution, and Integration by Parts -- all of which could be improved. Substitution and Parts could be improved by drawing the little grids of what u and du represent (that many instructors write underneath these kind of exercises before substituting).
To summarize, if you're good at math this is probably a good text for you. If you (or your students) have weaknesses, stick with something simpler -- Larson's Calculus text is excellent and good to compare against this one.
216 of 246 people found the following review helpful
The best there is - and I'm familiar with the others May 12 2000
By Stan Vernooy - Published on
Format: Hardcover
I was one of the pre-publication reviewers for the second edition of this book. I have not been shy about telling a publisher that their book stinks if that's my opinion. But the Stewart book was then, and remains now, IMHO, the best introductory calculus text available. Please note that the majority of negative reviews came from people who have seen exactly one calculus book, and they clearly don't like calculus! But I have taught from three of the most popular books, and I've read most of the others. There may be other books which take a radically entertaining, non-traditional, and more superficial approach to the subject, and those books may meet with approval from people who really don't want to learn calculus. But of those (many) books which cover the traditional topics in an introductory calculus course, no other author has written a text as learnable as Stewart's. On every topic, Stewart is clearly conscious of the fact that his reader doesn't already know the subject, and he has given some thought to exactly what has to be explained in order for the student to learn successfully. Remember, most textbooks are not written for students: they are written for the professors who are going to choose the books. Professors are not generally impressed with a book which spends a half page clearly describing the meaning of a theorem which can be written with a one-line equation. But students will appreciate the effort Stewart has exerted to help them learn. Stewart does not sugar-coat or resort to gimmicks or superficiality in order to make the material learnable. All the material is there, it's just presented with an awareness that the reader is trying to learn calculus for the first time. If you are taking a calculus course with any other book, try to get a cheap used copy of the Stewart to use as a supplement. It will help!
114 of 133 people found the following review helpful
Horrible for the first-time Calculus student April 17 2008
By Scott - Published on
Format: Hardcover
I am a college Calculus instructor, and I find this book terrible for many reasons. For students looking for a solid but much more inviting introduction to Calculus, I highly recommend Larson's book over Stewart's.

Here is a point-by-point breakdown of the faults I find in Stewart's text:

Clarity of Explanation and Content Level

Stewart's explanations are often verbose, unclear, and written at a
level too high for the average Calculus student. Several of my students
have told me reading the book only confused them and did not
clarify the concepts. An introductory text should offer simpler, clearer, and more concise explanations more appropriate to the typical Calculus student.


In this day and age, students expect visually engaging presentations that will hold their attention. Stewart's presentations are drab and uninteresting. His book is everywhere packed with dense plain text and
formulas, giving the impression that Calculus is hard, dull, and very
complex, further intimidating students who are already scared of the
subject. Students are much more likely to carefully read a text that is
visually appealing and makes Calculus seem interesting and less
intimidating. This will also help reduce their anxiety over what many
already consider a very difficult course.


Another important aspect of presentation is layout and readability. Here
Stewart's text is again dismal: His pages are overstuffed with text and
graphics throughout the book, making it difficult to reference a
theorem, particular type of example, etc. It is hard to see where one
example or proof ends and another begins. The average student is not
going to read the entire contents of a section in full detail, but will
rather reference the topics s/he is having trouble with, in order to get
the details on a theorem or to find an example problem to help with a
homework exercise. This is very difficult to do in Stewart's text due to
the crowded and confusing layout.

Homework Exercises

Stewart's text is again particularly poor in terms of his homework sets in that he tends to offer a few low-level problems and then suddenly jump into extraordinarily difficult problems with no warning or transition. Stewart also tends to couch exceedingly difficult problems between a series of relatively straightforward ones, again without warning, which is very frustrating for students who find themselves struggling over what they think is an easy problem.

All in all, I strongly advise against this text, and would urge other Calculus instructors and mathematics departments to choose another Calculus book for their classes.
22 of 23 people found the following review helpful
Unimpressed Sept. 7 1999
By A Customer - Published on
Format: Hardcover
I am a beginning calculus student at the local JC and have found this book to be a bit frustrating. While Stewart is very fluent, his explanations can be sterile and long-winded. At the same time Stewart's definitions, typically lacking a symbol explanation, are too abbreviated for my particular learning style. As I have progressed through the course I can see why Stewart chose to leave these symbols out, many are used repeatedly and to a professional it would seem redundant to include an explanation. However, as a student I find that this repetition is an important part of the learning process. A foreign language text makes a good analogue. Like a foreign language, math has a vocabulary and one can not simply be given a few words in the first chapter and then be expected to regurgitate them at will. While the overall organization of the book is very good, it is lacking in the specifics. Any one who uses this book will inevitably spend a lot of time performing unnecessary page turning, as the author often neglects to include the page numbers along with references to specific parts of the text. Stewart doesn't even provide the reader with an adequate convention by which the definitions could be found, numbering his definitions simply 1, 2, 3...etc. for each section. If I already knew calculus and were using this book as a reference I would probably give it a higher rating and perhaps even recommend it to you. As a student however, I feel it really doesn't work for me and I couldn't recommend it to anyone else.