Vector Analysis: A Physicist's Guide to the Mathematics of Fields in Three Dimensions

Vector Analysis: A Physicist's Guide to the Mathematics of Fields in Three Dimensions book cover

Vector Analysis: A Physicist's Guide to the Mathematics of Fields in Three Dimensions

Author(s): N. Kemmer (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 9 Mar. 2009
  • Edition: Illustrated
  • Language: English
  • Print length: 272 pages
  • ISBN-10: 1557534640
  • ISBN-13: 9780521290647

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.

Editorial Reviews

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.

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