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Vector Calculus (Springer Undergraduate Mathematics Series)by Paul C. Matthews
Synopses & Reviews
Vector calculus is the foundation stone on which a vast amount of applied mathematics is based. Topics such as fluid dynamics, solid mechanics and electromagnetism depend heavily on the calculus of vector quantities in three dimensions. This book covers the material in a comprehensive but concise manner, combining mathematical rigour with physical insight. There are many diagrams to illustrate the physical meaning of the mathematical concepts, which is essential for a full understanding of the subject. Each chapter concludes with a summary of the most important points, and there are worked examples that cover all of the material. The final chapter introduces some of the most important applications of vector calculus, including mechanics and electromagnetism.
This textbook examines vector calculus in a comprehensive, concise manner, using diagrams to illustrate the meaning of the mathematical concepts. Each chapter concludes with a summary of the most important points, and there are worked examples.
Table of Contents
Preface.- Vector Algebra.- Line, Surface and Volume Integrals.- Gradient, Divergence and Curl.- Suffix Notation.- Integral Theorems.- Curvilinear Coordinates.- Cartesian Tensors.- Applications of Vector Calculus.- Index.
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