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基本信息

齣版社: 7-04; 第1版 (2014年6月1日)

外文書名: Calculus(Seventh Edition)

叢書名: 海外優秀數學類教材係列叢書

平裝: 688頁

語種： 英語

開本: 16

ISBN: 9787040396201

條形碼: 9787040396201

商品尺寸: 25.3 x 21.4 x 3.1 cm

商品重量: 1.4 Kg

ASIN: B00LH8RZZC

內容簡介

本書（即影印版）從Cengage Learning齣版公司引進中國，原版書在北美大學中被廣泛采用，暢銷多年。影印版保留瞭原版書的全部內容，將其原原本本地呈獻給國內教師和學生。該書詳細介紹瞭微積分的概念、理論和方法，語言樸實、流暢、通俗易懂，書中的例題、習題貼近生活實際，能充分調動學生學習的興趣。

本書分上、下兩冊，上冊內容包括：函數和模型、極限和變化率、微分法則、微分的應用、積分、積分的應用、積分法、積分的進一步應用、微分方程、參數方程和極坐標；下冊內容包括：無窮序列和級數、嚮量和解析幾何、嚮量函數、偏導數、多重積分、嚮量微積分、二階微分方程。

本書可作為高等學校非數學類專業微積分、高等數學課程雙語教學的教材，也可供廣大師生教學參考之用。

目錄

Preface xi

To the Student xxiii

Diagnostic Tests xxiv

A PREVIEW OF CALCULUS 

Functions and Models

1.1 Four Ways to Represent a Function

1.2 Mathematical Models: A Catalog of Essential Functions

1.3 New Functions from Old Functions

1.4 Graphing Calculators and Computers

1.5 Exponential Functions

1.6 Inverse Functions and Logarithms Review

Principles of Problem Solving

Limits and Derivatives

2.1 The Tangent and Velocity Problems

2.2 The Limit of a Function

2.3 Calculating Limits Using the Limit Laws

2.4 The Precise Definition of a Limit

2.5 Continuity

2.6 Limits at Infinity; Horizontal Asymptotes

2.7 Derivatives and Rates of Change 143

Writing Project - Early Methods for Finding Tangents

2.8 The Derivative as a Function

Review 

Problems Plus

3 Differentiation Rules

4 Applications of Differentiation

5 Integrals

6 Applications of Integration

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

Index