商品簡介
• Shorter book = smaller price tag
• Perfectly paced — The economical presentation enables instructors to move through the book at a reasonable pace, covering one section per lecture easily.
• Rigor is emphasized, while also developing conceptual understanding — Helps students to devise a mental picture before getting a formal definition.
• Student development of “number sense” is encouraged — Emphasizes estimation as a technique to learn number sense, which helps students to catch their numerical mistakes by recognizing answers that don’t make sense.
• Moderate and reasonable integration of technology — Technology is carefully incorporated in exercises (and marked as such). Each chapter has 2 technology projects divided into 3 parts: (1) Preparation (think about the question before diving into technology) (2) Using Technology (3) Reflection (think a little deeper).
• Clear connections are drawn between algebra and geometry in the text and in figures — For example,geometric reasoning is used to understand a difficult concept in Figure 2 and Example on p.437 of the eighth edition.
• Huge number of high quality exercises that have benefited from years of development:
— Makes creating varied assignments easy.
— Every section exercise set begins with a Concepts Review, ensuring students get the big picture before sharpening his/her skills.
• Figures convey, not hide, mathematical ideas — Figures are intentionally drawn simply, to reflect a sketch a student might draw, unlike the overly elaborate figures in other books.
作者簡介
Dale Varberg, Hamline University
Edwin Purcell
Steve Rigdon, Southern Illinois University, Edwardsville
序
New To This Edition
• New Chapter Openers now appear throughout the book:
— Each chapter begins with a set of “Review and Preview Problems” that serve as a necessary review of previous material or a preview of things to come.
• MyMathLab, the online course designed to accompany the text — Includes an online tutorial, assessment, text, videos, Student Solutions Manual, and access to Prentice Hall Tutor Center.
• Maple, Student Version Software
• Numerical methods rearranged to the appropriate chapters:
— Newton’s method in “Applications of the Derivative”
— numerical integration in “The Definite Integral”
— Taylor polynomial approximation in “Infinite Series”
— Euler’s method in “Transcendental Functions” or “Techniques of Integration and Differential Equations.”
• Single-chapter coverage of two- and three-dimensional vectors rather than in separate chapters.
• Streamlined material on conic sections — from five sections to three.
• New section on “Strategies for Integration” in the chapter on Techniques of Integration — Includes a summary of the methods of integration and a comparison of exact and numerical integration.
• New section on “Change of Variables in Multiple Integrals” in the chapter on Multiple Integration.
• New section on “Probability and Random Variables” in the chapter on Applications of the Integral.
目次
1 LIMITS
2 THE DERIVATIVE
3 APPLICATIONS OF THE DERIVATIVE
4 THE DEFINITE INTEGRAL
5 APPLICATIONS OF THE INTEGRAL
6 TRANSCENDENTAL FUNCTIONS
7 TECHNIQUES OF INTEGRATION
8 INDETERMINATE FORMS & IMPROPER INTEGRALS
9 INFINITE SERIES10 CONICS AND POLAR COORDINATES
11 GEOMETRY IN SPACE, VECTORS
12 DERIVATIVES OF FUNCTIONS OF TWO OR MORE VARIABLES
13 MULTIPLE INTEGRATION
14 VECTOR CALCULUS
