Details

Calculus with Curvilinear Coordinates


Calculus with Curvilinear Coordinates

Problems and Solutions

von: Markus Antoni

118,99 €

Verlag: Springer
Format: PDF
Veröffentl.: 05.12.2018
ISBN/EAN: 9783030004163
Sprache: englisch

DRM-geschütztes eBook, Sie benötigen z.B. Adobe Digital Editions und eine Adobe ID zum Lesen.

Beschreibungen

This book presents problems and solutions in calculus with curvilinear coordinates. Vector analysis can be performed in different coordinate systems, an optimal system considers the symmetry of the problem in order to reduce calculatory difficulty. The book presents the material in arbitrary orthogonal coordinates, and includes the discussion of parametrization methods as well as topics such as potential theory and integral theorems. The target audience primarily comprises university teachers in engineering mathematics, but the book may also be beneficial for advanced undergraduate and graduate students alike.
Arc Length and Tangent Vector.- Differentiation of Field Quantities.- Work, Line Integral and Potential.- Integral Theorems of Vector Analysis.
This book presents problems and solutions in calculus with curvilinear coordinates. Vector analysis can be performed in different coordinate systems, an optimal system considers the symmetry of the problem in order to reduce calculatory difficulty. The book presents the material in arbitrary orthogonal coordinates, and includes the discussion of parametrization methods as well as topics such as potential theory and integral theorems. The target audience primarily comprises university teachers in engineering mathematics, but the book may also be beneficial for advanced undergraduate and graduate students alike.
Helpful for lecturers in engineering mathematicsPresents many exercises and solutionsContains worked out examples

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