海外優秀數學類教材係列叢書：微積分上（第7版影印版） [Calculus（Seventh Edition）] pdf epub mobi txt 电子书下载 2025

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齣版社：高等教育齣版社

ISBN：9787040396201

版次：7

商品編碼：11495310

包裝：平裝

叢書名：海外優秀數學類教材係列叢書

外文名稱：Calculus（Seventh Edition）

開本：16開

齣版時間：2014-06-01

用紙：膠版紙

頁數：688

正文語種：英文

具体描述

內容簡介

　　《海外優秀數學類教材係列叢書：微積分上（第7版影印版）》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。《海外優秀數學類教材係列叢書：微積分上（第7版影印版）》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。《海外優秀數學類教材係列叢書：微積分上（第7版影印版）》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。

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