Calculus, 9/e (Metric Version)(Hardcover)
內容描述
本書序言
●NEW SCAFFOLDED EXERCISES: At the beginning of problem sets, new basic exercises reinforce key skills and build student confidence to prepare them for more rigorous exercises and conceptual understanding.
●NEW EXPLANATIONS AND EXAMPLES: Careful refinements throughout provide even greater clarity on key concepts such as computing volumes of revolution and setting up triple integrals.
●NEW SUBHEADINGS: Additional subsections within chapters help instructors and students find key content more easily to make the text an even more helpful teaching and learning tool.
●NEW WEBASSIGN RESOURCES: New digital resources in WebAssign include Explore It interactive learning modules, the MindTap reader for interactive and mobile ebook access, enhanced remediation support, and improved problem types.
本書特色
●NEW SUBHEADINGS: Additional subsections within chapters help instructors and students find key content more easily to make the text an even more helpful teaching and learning tool.
●NEW EXPLANATIONS AND EXAMPLES: Careful refinements throughout provide even greater clarity on key concepts such as computing volumes of revolution and setting up triple integrals.
●PREREQUISITE SUPPORT: Four diagnostic tests in algebra, analytic geometry, functions, and trigonometry enable students to test their preexisting knowledge and brush up on skills. Quick Prep and Just-in-Time exercises in WebAssign refresh and reinforce prerequisite knowledge.
●HELPFUL EXAMPLES: Every concept is supported by thoughtfully worked examples that encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many detailed examples display solutions graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.
●QUALITY EXERCISES: With over 8000 exercises in all, each exercise set carefully progresses from skill-development problems to more challenging problems involving applications and proofs. Conceptual exercises encourage the development of communication skills by explicitly requesting descriptions, conjectures, and explanations. More challenging “Problems Plus” exercises reinforce concepts by requiring students to apply techniques from more than one chapter of the text, and by patiently showing them how to approach a challenging problem.
●NEW WEBASSIGN RESOURCES: New digital resources in WebAssign include Explore It interactive learning modules, the MindTap reader for interactive and mobile ebook access, enhanced remediation support, and improved problem types.
●STEM APPLICATIONS: Stewart/Clegg/Watson answers the question, "When will I use this?" by showing how Calculus is used as a problem-solving tool in fields such as physics, engineering, chemistry, biology, medicine, and the social sciences.
●NEW SCAFFOLDED EXERCISES: At the beginning of problem sets, new basic exercises reinforce key skills and build student confidence to prepare them for more rigorous exercises and conceptual understanding.
●PROBLEM-SOLVING EMPHASIS: George Polya’s problem-solving methodology is introduced at the beginning and reinforced throughout. "Strategies" sections help students select what techniques they'll need to solve problems in situations where the choice is not obvious and help them develop true problem-solving skills and intuition.
●HELPFUL EXAMPLES: Every concept is supported by thoughtfully worked examples that encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many detailed examples display solutions graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.
●CLEAR EXPOSITION: Dan Clegg and Saleem Watson have remained true to James Stewart's writing style speaking clearly and directly to students, guiding them through key ideas, theorems and problem-solving steps, and encouraging them to think as they read and learn calculus.
目錄大綱
- FUNCTIONS AND LIMITS.
- DERIVATIVES.
- APPLICATIONS OF DIFFERENTIATION.
- INTEGRALS.
- APPLICATIONS OF INTEGRATION.
- INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS.
- TECHNIQUES OF INTEGRATION.
- FURTHER APPLICATIONS OF INTEGRATION.
- DIFFERENTIAL EQUATIONS.
- PARAMETRIC EQUATIONS AND POLAR COORDINATES.
- SEQUENCES, SERIES, AND POWER SERIES.
- VECTORS AND THE GEOMETRY OF SPACE.
- VECTOR FUNCTIONS.
- PARTIAL DERIVATIVES.
- MULTIPLE INTEGRALS.
- VECTOR CALCULUS.
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 Answers to Odd-Numbered Exercises.
