商品簡介
作者簡介
序
目次
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.
• 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
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.
• 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
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
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