微積分(第二版) 內容簡介
James Stewart's well-received CALCULUS: CONCEPTS AND CONTEXTS, Second Edition follows in the path of the other best-selling books by this remarkable author. The First Edition of this book was highly successful because it reconciled two schools of thought: it skillfully merged the best of traditional calculus with the best of the reform movement. This new edition continues to offer the balanced approach along with Stewart's hallmark features: meticulous accuracy, patient explanations, and carefully graded problems. The content has been refined and the examples and exercises have been updated. In addition, the Second Edition now includes a free CD-ROM for students that contains animations, activities, and homework hints. The book integrates the use of the CD throughout by using icons that show students when to use the CD to deepen their understanding of a difficult concept.In CALCULUS: CONCEPTS AND CONTEXTS, this well respected author emphasizes conceptual understanding - motivating students with real world applications and stressing the Rule of Four in numerical, visual, algebraic, and verbal interpretations. All concepts are presented in the classic Stewart style: with simplicity, character, and attention to detail. In addition to his clear exposition, Stewart also creates well thought-out problems and exercises. The definitions are precise and the problems create an ideal balance between conceptual understanding and algebraic skills.
該書在美國大學有廣泛的使用。作者同時擁有其它若干暢銷教材。書中擁有詳盡的解釋和合理的進階。新版配有最新的例題和練習、作業提示。作者強調對基礎概念的理解,同時引導學生輕鬆理解較難的概念。原名《Calculus : Concepts and Contexts, 2nd》。
微積分(第二版) 本書目錄
1. Functions and Models.2. Limits and Derivatives.
3. Differentiation Rules.
4. Applications of Differentiation.
5. Integrals.
6. Applications of Integration.
7. Differential Equations.
8. Infinite Sequences and Series.
9. Vectors and The Geometry of Space.
10. Vector Functions.
11. Partial Derivatives.
12. Multiple Integrals.
13. Vector Calculus.
Appendices.
A: Intervals, Inequalities, And Absolute Values.
B: Coordinate Geometry.
C: Trigonometry.
D: Precise Definitions of Limits.
E: A Few Proofs.
F: Sigma Notation.
G: Integration of Rational Functions by Partial Fractions.
H: Polar Coordinates.
I: Complex Numbers.
J: Answers To Odd-Numbered Exercises. Index.
