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  3. Vector Analysis
  • Cited by 13
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    • Publisher:
      Cambridge University Press
      Publication date:
      December 2009
      January 1977
      ISBN:
      9780511569524
      9780521290647
      DOI:
      https://doi.org/10.1017/CBO9780511569524
      Dimensions:
      Weight & Pages:
      Dimensions:
      (225 x 150 mm)
      Weight & Pages:
      0.3kg, 272 Pages
      • Subjects:
      Mathematics, Mathematical Modeling and Methods
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    Subjects:
    Mathematics, Mathematical Modeling and Methods
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    Book description

    Vector analysis provides the language that is needed for a precise quantitative statement of the general laws and relationships governing such branches of physics as electromagnetism and fluid dynamics. The account of the subject is aimed principally at physicists but the presentation is equally appropriate for engineers. The justification for adding to the available textbooks on vector analysis stems from Professor Kemmer's novel presentation of the subject developed through many years of teaching, and in relating the mathematics to physical models. While maintaining mathematical precision, the methodology of presentation relies greatly on the visual, geometric aspects of the subject and is supported throughout the text by many beautiful illustrations that are more than just schematic. A unification of the whole body of results developed in the book - from the simple ideas of differentiation and integration of vector fields to the theory of orthogonal curvilinear coordinates and to the treatment of time-dependent integrals over fields - is achieved by the introduction from the outset of a method of general parametrisation of curves and surfaces.

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