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Problem Book in Mathematical Analysis
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3 · Functions of Several Variables
Chapter 3.1
Differential Calculus of Functions of Several Variables
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On this page
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3.1 · Various Types of Sets in
n
n
n
-Dimensional Space
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3.2 · Functions of Several Variables. Limit and Continuity of Several Variables. Mappings
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3.3 · Partial Derivatives. The Differential of a Function of Several Variables. Differentiable Mappings
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3.4 · Higher-Order Partial Derivatives and Differentials. Taylor's Formula and Taylor Series
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3.5 · Extrema of Functions
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3.6 · Geometric Applications
Section 3.1
Various Types of Sets in
n
n
n
-Dimensional Space
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83
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30%
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Subsection 3.1.1
Worked Examples
Subsection 3.1.2
Problems
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83
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30%
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Section 3.2
Functions of Several Variables. Limit and Continuity of Several Variables. Mappings
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71%
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Subsection 3.2.1
Worked Examples
Subsection 3.2.2
Problems
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112
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71%
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Section 3.3
Partial Derivatives. The Differential of a Function of Several Variables. Differentiable Mappings
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111
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79%
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Subsection 3.3.1
Worked Examples
Subsection 3.3.2
Problems
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111
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79%
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Section 3.4
Higher-Order Partial Derivatives and Differentials. Taylor's Formula and Taylor Series
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86
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Subsection 3.4.1
Worked Examples
Subsection 3.4.2
Problems
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86
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84%
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Section 3.5
Extrema of Functions
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97%
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Subsection 3.5.1
Worked Examples
Subsection 3.5.2
Problems
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62
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Section 3.6
Geometric Applications
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87%
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Subsection 3.6.1
Worked Examples
Subsection 3.6.2
Problems
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53
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87%
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