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Single Variable Essential Calculus: Early Transcendentals, 2nd Edition

James Stewart

  • Copyright 2013
  • {{checkPublicationMessage('Published', '2012-01-05T00:00:00+0000')}}
Starting At $49.95 See pricing and ISBN options
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Single Variable Essential Calculus: Early Transcendentals 2nd Edition by James Stewart
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Overview

This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. The book is only 600 pages--less than half the size of Stewart's other calculus texts (CALCULUS, Seventh Edition and CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition) and yet it contains almost all of the same topics. The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www.StewartCalculus.com. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books. SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world.

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Meet the Authors

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James Stewart

The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He conducted research at the University of London and was influenced by the famous mathematician, George Polya, at Stanford University. Dr. Stewart most recently served as a professor of mathematics at McMaster University and the University of Toronto. His research focused on harmonic analysis. Dr. Stewart authored the best-selling calculus textbook series, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of successful precalculus texts and college algebra and trigonometry texts.

What's New

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  • The book begins with four diagnostic tests--in Basic Algebra, Analytic Geometry, Functions, and Trigonometry--addressing the gaps in many students' prerequisite skills by giving them opportunities to get up to speed at the beginning of the Calculus course.
  • Some material has been rewritten for greater clarity or for better motivation.
  • Based on reviewers' suggestions, a new section on surface area has been added to Chapter 7, "Applications of Integration."
  • Updated data in examples and exercises assures that the book maintains its currency and relevance.
  • More than 35% of the exercises are new, providing instructors with new assignment options, and students with an abundance of practice opportunities.
  • Enhanced WebAssign® for Stewart's ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS, 2nd Edition--which combines the mathematics content in this text with the most powerful online homework solution, WebAssign--is enhanced with new features and functions. These include Enhanced Feedback for incorrect problems, Visualizing Calculus modules and animations, Lecture Video Problems, and a Show Your Work feature that gives you the option of seeing students' detailed solutions. Plus, Cengage YouBook, a Flash-based eBook version of the text that is interactive and customizable, is fully integrated into Enhanced WebAssign.

Features

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  • The text presents a concise approach to calculus for instructors who want to focus on essential principles and who feel no need for frills.
  • Brevity is achieved through condensed exposition, fewer examples in some sections, fewer technology and conceptual problems, and fewer appendixes. Problems Plus and Projects have been moved to the author's website at www.stewartcalculus.com.
  • Certain topics, or example, the treatment of the integral and the remainder term in Taylor Series, are presented in a manner that is more traditional than Stewart's other books.
  • This version of the text presents exponential, logarithmic, and inverse trigonometric functions in Chapter Three. Those who wish to cover such functions later, with the logarithm defined as an integral, should consider the book entitled simply, ESSENTIAL CALCULUS.
  • Margin notes clarify and expand on topics presented in the main body of the text by providing cautions, historical background, and references to Tools for Enriching Calculus and the author's website.
  • Each chapter ends with a comprehensive review that includes a true/false quiz, "Concept Check Questions," and exercises for every topic covered in the chapter.
  • Tools for Enriching Calculus--a free, online, interactive resource that allows Calculus students to work with animations that deepen their understanding by helping them visualize the concepts they are learning--has been updated with new problems and a new Flash design that is more visually appealing and engaging. Written and narrated by James Stewart, these assignable animations are also integrated into Cengage YouBook, and many are available directly to students at www.stewartcalculus.com.
  • For the convenience of instructors who wish to cover additional material, the www.stewartcalculus.com website contains: Review of Algebra, Trigonometry, Analytic Geometry, and Conic Sections; Additional Examples; Projects; Archived Problems (drill exercises from Stewart's other books) with solutions; Challenge Problems; Lies My Calculator and Computer Told Me, and more.
  • Additional topics (with exercises) available at www.stewartcalculus.com include Principles of Problem Solving, Strategy for Integration, Strategy for Testing Series, Fourier Series, Area of a Surface of Revolution, Linear Differential Equations, Second Order Linear Differential Equations, Nonhomogeneous Linear Equations, Applications of Second Order Differential Equations, Using Series to Solve Differential Equations, Complex Numbers, and Rotation of Axes. Links to outside web resources and the History of Mathematics, with links to historical websites, are also available at the site.

Table of Contents

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1. FUNCTIONS AND LIMITS.
Functions and Their Representations. A Catalog of Essential Functions. The Limit of a Function. Calculating Limits. Continuity. Limits Involving Infinity.
2. DERIVATIVES.
Derivatives and Rates of Change. The Derivative as a Function. Basic Differentiation Formulas. The Product and Quotient Rules. The Chain Rule. Implicit Differentiation. Related Rates. Linear Approximations and Differentials.
3. INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS.
Exponential Functions. Inverse Functions and Logarithms. Derivatives of Logarithmic and Exponential Functions. Exponential Growth and Decay. Inverse Trigonometric Functions. Hyperbolic Functions.
3.7 Indeterminate Forms and l'Hospital's Rule
4. APPLICATIONS OF DIFFERENTIATION.
Maximum and Minimum Values. The Mean Value Theorem. Derivatives and the Shapes of Graphs. Curve Sketching. Optimization Problems. Newton's Method. Antiderivatives.
5. INTEGRALS.
Areas and Distances. The Definite Integral. Evaluating Definite Integrals. The Fundamental Theorem of Calculus. The Substitution Rule.
6. TECHNIQUES OF INTEGRATION.
Integration by Parts. Trigonometric Integrals and Substitutions. Partial Fractions. Integration with Tables and Computer Algebra Systems. Approximate Integration. Improper Integrals.
7. APPLICATIONS OF INTEGRATION.
Areas between Curves. Volumes. Volumes by Cylindrical Shells. Arc Length. Area of a Surface of Revolution. Applications to Physics and Engineering. Differential Equations.
8. SERIES.
Sequences. Series. The Integral and Comparison Tests. Other Convergence Tests. Power Series. Representing Functions as Power Series. Taylor and Maclaurin Series. Applications of Taylor Polynomials.
9. PARAMETRIC EQUATIONS AND POLAR COORDINATES.
Parametric Curves. Calculus with Parametric Curves. Polar Coordinates. Areas and Lengths in Polar Coordinates. Conic Sections in Polar Coordinates.
Appendix A. Trigonometry
Appendix B. Proofs
Appendix C. Sigma Notation
Appendix D. The Logarithm Defined as an Integral

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  • ISBN-10: 0495384798
  • ISBN-13: 9780495384793
  • RETAIL $49.95

  • ISBN-10: 1133981208
  • ISBN-13: 9781133981206
  • RETAIL $77.95

  • ISBN-10: 1133490972
  • ISBN-13: 9781133490975
  • RETAIL $82.95

  • ISBN-10: 1133112781
  • ISBN-13: 9781133112785
  • RETAIL $158.95

  • ISBN-10: 1305590953
  • ISBN-13: 9781305590953
  • RETAIL $94.95

  • ISBN-10: 1133426107
  • ISBN-13: 9781133426103
  • RETAIL $178.95
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Supplements

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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

WebAssign - Start Smart Guide for Students

ISBN: 9780495384793
This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.

Student Solutions Manual for Stewart's Essential Calculus: Early Transcendentals, 2nd

ISBN: 9781133490975
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

FOR STUDENTS

Student Solutions Manual for Stewart's Essential Calculus: Early Transcendentals, 2nd

ISBN: 9781133490975
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

WebAssign - Start Smart Guide for Students

ISBN: 9780495384793
This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.