Synopses & Reviews
Stewart's CALCULUS: EARLY TRANSCENDENTALS, Fifth Edition, Volume One has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that have characterized the first four editions. In this Fifth Edition, Stewart retains the focus on problem solving and the pedagogical system that has worked so well for students in a wide variety of colleges and universities throughout the world. He has made refinements to the exposition and examples to ensure that students have the best materials available. Further support for students and instructors is now available through a vast array of supplementary material. This new one-term version of the text provides more options for choosing a text to fit the course needs, along with the flexibility to select the resources that you want with the text.
Synopsis
Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANCENDENTALS, Sixth 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!
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 LearningÂ--Brooks/Cole, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.
Table of Contents
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. Tangents, Velocities, and Other Rates of Change. Derivatives. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Review. Problems Plus. 3. 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. 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. Applications to Business and Economics. 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. The Logarithm Defined as an Integral. 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 Movie. Review. Problems Plus. Appendixes. Answers To Odd-Numbered Exercises. Index.