A First Course in Calculus
The purpose of a first course in calculus is to teach the student the basic notions of derivative and integral, and the basic techniques and applica tions which accompany them. The very talented students, with an ob vious aptitude for mathematics, will rapidly require a course in functions of one...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1986, 1986
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| Edition: | 5th ed. 1986 |
| Series: | Undergraduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- One Review of Basic Material
- I Numbers and Functions
- II Graphs and Curves
- Two Differentiation and Elementary Functions
- III The Derivative
- IV Sine and Cosine
- V The Mean Value Theorem
- VI Sketching Curves
- VII Inverse Functions
- VIII Exponents and Logarithms
- Three Integration
- IX Integration
- X Properties of the Integral
- XI Techniques of Integration
- XII Applications of Integration
- Four Taylor’s Formula and Series
- XIII Taylor's Formula
- XIV Series
- Five Functions of Several Variables
- XV Vectors
- XVI Differentiation of Vectors
- XVII Functions of Several Variables
- XVIII The Chain Rule and the Gradient
- Answer