Applications of Vector Calculus

  • Paul C. Matthews
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


This chapter provides a brief introduction to some of the many applications of vector calculus to physics. Each of these is a vast topic in itself and is the subject of numerous books and a great deal of current research, so it is not possible to go into any detail in this book. However, a number of important governing equations and results can be obtained using the methods described in the previous chapters. In particular, it will be seen that the equations describing the behaviour of physical quantities such as electric fields and the velocity of a fluid are written in terms of the gradient, divergence and curl operators.


Stress Tensor Volume Versus Body Force Total Force Divergence Theorem 
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Copyright information

© Springer-Verlag London 1998

Authors and Affiliations

  • Paul C. Matthews
    • 1
  1. 1.School of Mathematical SciencesUniversity of NottinghamUniversity ParkUK

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