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  3. An Introduction to Vectors, Vector Operators and Vector Analysis
  • Cited by 2
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    • Publisher:
      Cambridge University Press
      Publication date:
      July 2017
      May 2016
      ISBN:
      9781316650578
      9781107154438
      DOI:
      https://doi.org/10.1017/9781316650578
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      1.08kg, 544 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Physics and Astronomy, Mathematical Methods, Theoretical Physics and Mathematical Physics
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    Subjects:
    Physics and Astronomy, Mathematical Methods, Theoretical Physics and Mathematical Physics
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    Book description

    Ideal for undergraduate and graduate students of science and engineering, this book covers fundamental concepts of vectors and their applications in a single volume. The first unit deals with basic formulation, both conceptual and theoretical. It discusses applications of algebraic operations, Levi-Civita notation, and curvilinear coordinate systems like spherical polar and parabolic systems and structures, and analytical geometry of curves and surfaces. The second unit delves into the algebra of operators and their types and also explains the equivalence between the algebra of vector operators and the algebra of matrices. Formulation of eigen vectors and eigen values of a linear vector operator are elaborated using vector algebra. The third unit deals with vector analysis, discussing vector valued functions of a scalar variable and functions of vector argument (both scalar valued and vector valued), thus covering both the scalar vector fields and vector integration.

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