Advanced Calculus - Fundamentals of Mathematics

Author(s): Carlos Polanco

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Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and ...
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Foreword I  promotion: free to download

Pp. i

Vladimir N. Uversky



Foreword II  promotion: free to download

Pp. ii

Thomas Buhse



Preface  promotion: free to download

Pp. iii-iv (2)

Carlos Polanco



Acknowledgements  promotion: free to download

Pp. v

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List of Credits  promotion: free to download

Pp. vi-viii (3)

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List of Symbols  promotion: free to download

Pp. ix-xiii (5)

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Vector Algebra

Pp. 1-20 (20)

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Real–Valued Functions

Pp. 21-45 (25)

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Critical Points

Pp. 46-63 (18)

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Vector-Valued Functions

Pp. 64-74 (11)

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Integration Over Bounded Regions

Pp. 75-94 (20)

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Integration Over Unbounded Regions

Pp. 95-102 (8)

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Integration Over Curves and Surfaces

Pp. 103-112 (10)

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Theorems of Vector Calculus

Pp. 113-123 (11)

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Geometric Algebra

Pp. 124-138 (15)

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Theorems of Differential Forms

Pp. 139-148 (10)

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Solutions for Chapters

Pp. 149-176 (28)

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References  promotion: free to download

Pp. 177-179 (3)

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Subject Index  promotion: free to download

Pp. 180-183 (4)

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