Short calculus简明微积分："微积分初级课程"原版
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作者： Serge Lang著
出 版 社：
出版时间： 2001-11-1字数：版次： 1页数： 257印刷时间： 2001/11/01开本： 32开印次： 1纸张： 胶版纸I S B N ： 9780387953274包装： 平装内容简介
This is a reprint of A First Course in Calculus, which has gone through five editions since the early sixties. It covers all the topics traditionally taught in the first-year calculus sequence in a brief and elementary fashion. As sociological and educational conditions have evolved in various ways over the past four decades, it has been found worthwhile to make the original edition available again. The audience consists of those taking the first calculus course, in high school or college. The approach is the one which was successful decades ago, involving clarity, and adjusted to a time when the students¿ background was not as substantial as it might be. We are now back to those times, so it¿s time to start over again. There are no epsilon-deltas, but this does not imply that the book is not rigorous. Lang learned this attitude from Emil Artin, around 1950.
目录
CHAPTER 1 Numbers and Functions
CHAPTER 2 Graphs and Curves
CHAPTER 3 The Derivative
CHAPTER 4 Sine and Cosine
CHAPTER 5 The Mean Value Theorem
CHAPTER 6 Sketching Curves
CHAPTER 7 Inverse Functions
CHAPTER 8 Exponents and Logarithms
CHAPTER 9 Integration
CHAPTER 10 Properties of the Integral
CHAPTER 11 Techniques of Integration
CHAPTER 12 Some Substantial Exercises
CHAPTER 13 Applications of Integration
CHAPTER 14 Taylor's Formula
CHAPTER 15 Series
Appendix 1. Epsilon and Delta
Appendix 2. Physics and Mathematics
Answers
Index.
