《Partial Differentiation Second Edition》求取 ⇩

CHAPTER ⅠPARTIAL DERIVATIVES1

1.Functions of Two Variables1

2.Functions of Three or More Variables6

3.Higher Partial Derivatives8

CHAPTER ⅡCHANGE OF VARIABLE IN PARTIAL DIFFERENTIATION13

4.Total Derivatives13

5.Second Derivatives17

6.Derivatives in Any Direction26

7.Euler's Theorems on Homogeneous Functions28

8.Jacobians31

9.Differentials86

10.Functional Dependence43

11.Problems on Change of Variable46

Examples50

CHAPTER ⅢTAYLOR'S THEOREM AND GEOMETRICAL APPLICATIONS57

12.Taylor's Theorem for a Function of Several Variables57

13.Applications to the Theory of Plane Curves61

14.Applications to Curves and Surfaces in Space68

15.Curvilinear Coordinates73

16.Vectors76

CHAPTER ⅣMAXIMA AND MINIMA80

17.Functions of a Single Variable80

18.Functions of Two Variables81

19.Functions of n Variables88

20.Lagrange's Method of Undetermined Multipliers89

Examples101

APPENDIXIMPLICIT FUNCTIONS104

Index107

1954《Partial Differentiation Second Edition》由于是年代较久的资料都绝版了,几乎不可能购买到实物。如果大家为了学习确实需要,可向博主求助其电子版PDF文件(由 1954 Oliver and Boyd 出版的版本) 。对合法合规的求助,我会当即受理并将下载地址发送给你。