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Single Variable Calculus: Early Transcendentals [Hardcover]

James Stewart
3.0 out of 5 stars  See all reviews (53 customer reviews)

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Book Description

January 1, 2011 0538498676 978-0538498678 7
Success in your calculus course starts here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

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Single Variable Calculus: Early Transcendentals + Student Solutions Manual, (Chapters 1-11) for Stewart's Single Variable Calculus: Early Transcendentals, 7th + Calculus: Early Transcendentals
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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. Principles of Problem Solving. 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. Problems Plus. 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. Problems Plus. 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. Problems Plus. 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. Problems Plus. 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. Problems Plus. 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. Problems Plus. 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. Problems Plus. 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. Problems Plus. 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. Problems Plus. 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. Problems Plus. 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 an alternate Hardcover 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 University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning Brooks/Cole, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

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Product Details

  • Series: Single Variable Calculus: Early Transcendentals
  • Hardcover: 936 pages
  • Publisher: Cengage Learning; 7 edition (January 1, 2011)
  • Language: English
  • ISBN-10: 0538498676
  • ISBN-13: 978-0538498678
  • Product Dimensions: 9.8 x 8.7 x 1.2 inches
  • Shipping Weight: 4.1 pounds (View shipping rates and policies)
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (53 customer reviews)
  • Amazon Best Sellers Rank: #4,108 in Books (See Top 100 in Books)

More About the Author

James Stewart received the M.S. degree from Stanford University and the Ph.D. from the University of Toronto. After two years as a postdoctoral fellow at the University of London, he became Professor of Mathematics at McMaster University. His research has been in harmonic analysis and functional analysis. Stewart's books include a series of high school textbooks as well as a best-selling series of calculus textbooks. He is also co-author, with Lothar Redlin and Saleem Watson, of a series of college algebra and precalculus textbooks. Translations of his books include those in Spanish, Portuguese, French, Italian, Korean, Chinese, Greek, and Indonesian.

A talented violinst, Stewart was concertmaster of the McMaster Symphony Orchestra for many years and played professionally in the Hamilton Philharmonic Orchestra. Having explored connections between music and mathematics, Stewart has given more than 20 talks worldwide on Mathematics and Music and is planning to write a book that attempts to explain why mathematicians tend to be musical.

Stewart was named a Fellow of the Fields Institute in 2002 and was awarded an honorary D.Sc. in 2003 by McMaster University. The library of the Fields Institute is named after him. The James Stewart Mathematics Centre was opened in October, 2003, at McMaster University.

Customer Reviews

Most Helpful Customer Reviews
40 of 44 people found the following review helpful
1.0 out of 5 stars I feel bad for you if this is your required textbook January 31, 2012
After going through 2 semesters of pre-calculus w/ an excellent textbook (Sullivan), this one was a HUGE let down.

The author designed the textbook with the assumption that your professor will be doing the majority of the explanations (in fact, he even admits this). While this may make sense, it isn't the way to write a textbook.

For instance, when he does his examples in the sections, the author doesn't seem to connect the dots or explain why. He also skips about 95% of the algebra in his explanations. This often leaves the reader saying "wait, how did he get that?!" I can't remember how many times my professor literally had a page or more worth of work on an example that the author skipped in his solution.

My next complaint- In-chapter exercises. My main complaint is the ambush-approach the author uses. He ambushes you with problems right away that you couldn't possibly derive from the examples or explanations, even if you work conceptually through the problem. These problems should be left in the review or toward the end of the exercises, after the student has gotten a firm grasp on the material.

I think that the author has a hard time relating to undergraduate students. In fact, this textbook seems as if he is explaining things to another professor. He should be writing this book to teach undergraduates.
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20 of 20 people found the following review helpful
2.0 out of 5 stars Good text, obscene price May 11, 2013
Re the $200+ list price for the latest editions of James Stewart's Calculus book:

$200 for a calculus book is insane and obscene (as is $191.36, Amazon's current list price.) Other than prettier graphics and a few exercises to show how calculators and computers can mess with you, the subject hasn't changed significantly since the work of Cauchy and Weierstrass almost 200 years ago.

While the architecture of James Stewart's new $24M house is cool and its use as a performance space is to be lauded, it was built on the backs of millions of poor students forced to pay extortionist prices for old news. Granted that the pressure to produce superfluous new editions came mostly from his publisher, he went along in exploiting those students.

Let's hope he sleeps well.
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9 of 10 people found the following review helpful
1.0 out of 5 stars Terrible textbook November 12, 2012
I've never been great at math but I was at least able to understand most things with the help of a textbook. Got an A+ in Pre-Cal thanks mostly to a great textbook, but I'll be lucky if I get a C using this textbook for Calculus. The information is presented in such a way that you're expected to be a master of every previous mathematics subject in order to understand what's happening in this book. Math majors might find this book useful, but as I'm not a math major I get lost easily. The explanations are not thorough, and the example problems are not very helpful in answering the questions at the end of each section. Unfortunately I also got stuck with a terrible professor who required us to use this book. My advice is look for a better calculus textbook, this one is a huge waste of money.
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8 of 9 people found the following review helpful
1.0 out of 5 stars HORRIBLE!!!! August 1, 2012
This book just couldn't be any WORSE. I did in fact get an A+ on both Calc 1 and 2 (the two classes that I used this book for), however I owe everything I learned to my professors. You start reading this book and you'll just get confused right away. If you need it for your class like I did just borrow it from a friend and purchase the mandatory webassign code. Cengage deserves to go out of business for this book seriously-_______-
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7 of 8 people found the following review helpful
1.0 out of 5 stars Terrible Terrible Book October 22, 2012
This textbook was required for my College Calc class. Terrible book, does not explain anything well. I honestly don't know why my college keeps using this book, maybe because of the price tag and some deal they might have who knows. But If you have this book as a requirement to your class, I advise you to buy supplements or other textbooks to help you through the semester. If you need help I recommend Leithold's 7 Edition Calculus. All the practice problems not just the odd are solved, yes solved, not just the answer as in this book.
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4 of 4 people found the following review helpful
1.0 out of 5 stars Congratulations! Your professor hates you. September 11, 2013
To put it simply, I've had a high school Calculus student explain the concepts in this book better. It's useless at best.
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3 of 3 people found the following review helpful
1.0 out of 5 stars A terrible book September 8, 2013
This book is truly awful. Stewart gives poor and incomplete explanations. He also skips numerous algebraic steps in his examples. If you want to teach yourself calculus, then this is not the book for you. If you have a subpar math teacher (as most math teachers are), then this book makes your calculus class that much harder. I'm currently in Calculus II and still using this POS book. I had excellent books for college algebra and precalculus that were so comprehensive that no teacher was needed. This book is definitely not in that category.
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1 of 1 people found the following review helpful
1.0 out of 5 stars Don't Buy this manual! March 7, 2014
By Amy L
Format:Hardcover|Verified Purchase
For 50 cents more you can get what this book has plus 6 more chapters that will get you through Calc III, ISBN 9780538497879. The covers of each book look identical. I thought I was buying the 3 semester text which makes the $200 price pretty decent, but now I find my text won't even get me through Calc II. The companion textbook I had to buy duplicates chapters 10 and 11 from this text, so I don't even get the full benefit of a lighter textbook. If you like throwing away money, buy this book!
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Most Recent Customer Reviews
5.0 out of 5 stars Five Stars
Arrived on time as described.
Published 6 days ago by nyc girl
2.0 out of 5 stars The book does an OK job of explaining...but if it's not paired with a...
One HUGELY HUGELY helpful thing I found was [...]. I was REALLY struggling through Calc 101 (online course), and having a hard time understanding. Read more
Published 27 days ago by C. Foster
5.0 out of 5 stars Loose leafs - binder needed asap
Arrived on time. Although this was on loose leaf (get a binder so you don't lose any pages ASAP!) rather than bounded, it was still in excellent condition :)
Published 1 month ago by JNahNah
3.0 out of 5 stars Reference is missing.
References in the front of book is removed which is the heart of book for students because very few people remember those. I suffered whole week for that. Read more
Published 1 month ago by jaya kafle
1.0 out of 5 stars what?
I had a good teacher, but the book felt like it didn't actually explain anything. I wound up dropping the class, though that was not 100% the book because a recent engagement and... Read more
Published 3 months ago by Daniel C. Wolf
1.0 out of 5 stars I hate it
I really don't like this book. I will never use it again. I feel suffer when I studying this textbook.
Published 3 months ago by zxcv11223300
The seller sent me an international version, but I ordered a non-international version. However, the seller said that the book is same as original, but it is not exactly the same. Read more
Published 3 months ago by Fengting Yen
4.0 out of 5 stars rental
It is a bit worn on arrival but the pages are cleana and the covers are not bent. This book is straight forward
Published 3 months ago by teresa
2.0 out of 5 stars Incomplete
I would say buyer beware, this copy of the text book ended at chapter 11, a whole 3 chapters before the end of my calc ii course! Read more
Published 4 months ago by Ryan
5.0 out of 5 stars It was great!
Of course it had a little wear and tear, but that is expected from a used book. ONLY USED FOR CALCULUS 1 AND 2! This book is not the larger one, it has fewer chapters. Read more
Published 5 months ago by myranda
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