微積分(偏理工)

Calculus 8/e Metric Version

+作者:

Stewart

+年份:
2016 年8 版
+ISBN:
9781305266728
+書號:
MA0384HC
+規格:
精裝/彩色
+頁數:
1456
+出版商:
Cengage
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●The data in examples and exercises have been updated. New examples have been added and the solutions to some of the existing examples have been amplified.

●Several new application based problems in the book have been added to help the students strengthen the understanding of concepts and make the leap to discovering the impact of Calculus in its various applications.

●Three new projects have been added: the project, Controlling Red Blood Cell Loss During Surgery describes the ANH procedure, in which blood is extracted from the patient before an operation and is replaced by saline solution. This dilutes the patient’s blood so that fewer red blood cells are lost during bleeding and the extracted blood is returned to the patient after surgery. The project, Planes and Birds: Minimizing Energy asks how birds can minimize power and energy by flapping their wings versus gliding. In the project, The Speedo LZR Racer Suit, it is explained that this suit reduces drag in the water and, as a result, many swimming records were broken. Students are asked why a small decrease in drag can have a big effect on performance.

●A wealth of engaging projects reinforces concepts. "Writing Projects" ask students to compare present-day methods with those of the founders of calculus. "Discovery Projects" anticipate results to be discussed later. "Applied Projects" feature content that engages student interest and demonstrates the real-world use of mathematics. "Laboratory Projects" anticipate results to be discussed later or encourage discovery through pattern recognition.

●Comprehensive review sections follow each chapter and further support conceptual understanding. A "Concept Check" and "True/False Quiz" allow students to prepare for upcoming tests through ideas and skill-building.

●Historical and biographical margin notes enliven the course and show students that mathematics was developed to help explain and represent natural phenomena.

●More challenging exercises called "Problems Plus" follow the end-of-chapter exercises. These sections 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.

●Four carefully crafted diagnostic tests in algebra, analytic geometry, functions, and trigonometry appear at the beginning of the text. These provide students with a convenient way to test their pre-existing knowledge and brush up on skill techniques they need to successfully begin the course. Answers are included, and students who need to improve will be referred to points in the text or on the book’s website where they can seek help.

●Every concept is supported by thoughtfully worked examples—many with step-by-step explanations—and carefully chosen exercises. The quality of this pedagogical system is what sets Stewart’s texts above others.

●Examples are not only models for problem solving or a means of demonstrating techniques; they also encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many of these detailed examples display solutions that are presented graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.

●The text’s clean, user-friendly design provides a clear presentation of calculus. The art program, with its functional and consistent use of color, helps students identify and review mathematical concepts more easily.

●The topic of Differential Equations is unified by the theme of modeling. Qualitative, numerical, and analytic approaches are given equal consideration.

●Stewart’s text offers an extensive collection of more than 8,000 quality exercises. Each exercise set is carefully graded, progressing from skill-development problems to more challenging problems involving applications and proofs. The wide variety of types of exercises includes many technology-oriented, thought-provoking, real, and engaging problems.

The late 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 was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

1. FUNCTIONS AND LIMITS.
2. DERIVATIVES.
3. APPLICATION OF DIFFERENTIATION.
4. INTEGRALS.
5. APPLICATIONS OF INTEGRATION.
6. INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS.
7. TECHNIQUES OF INTEGRATION.
8. FURTHER APPLICATIONS OF INTEGRATION.
9. DIFFERENTIAL EQUATIONS.
10. PARAMETRIC EQUATIONS AND POLAR COORDINATES.
11. INFINITE SEQUENCES AND SERIES.
12. VECTORS AND THE GEOMETRY OF SPACE.
13. VECTOR FUNCTIONS.
14. PARTIAL DERIVATIVES.
15. MULTIPLE INTEGRALS.
16. VECTOR CALCULUS.
17. SECOND-ORDER DIFFERENTIAL EQUATIONS.
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 Complex Numbers.
H Answers to Odd-Numbered Exercises.