Application of tensor analysis / A. J. McConnell.
By: McConnell, A. J. (Albert Joseph)
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Material type:
BookPublisher: New York : Dover Publications, [1957]Description: xii, 318 p. : ill. ; 21 cm. + pbk.ISBN: 0486603733.Subject(s): Calculus of tensors| Item type | Current library | Call number | Copy number | Status | Barcode | |
|---|---|---|---|---|---|---|
| General lending | MTU Bishopstown Library Lending | 515.63 (Browse shelf(Opens below)) | 1 | Available | 00039149 | |
| General lending | MTU Bishopstown Library Store | 515.63 (Browse shelf(Opens below)) | 1 | Available | 00039155 |
Enhanced descriptions from Syndetics:
This standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions, it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity, and hydrodynamics.
Partial contents: algebraic preliminaries (notation, definitions, determinants, tensor analysis); algebraic geometry (rectilinear coordinates, the plane, the straight line, the quadric cone and the conic, systems of cones and conics, central quadrics, the general quadric, affine transformations); differential geometry (curvilinear coordinates, covariant differentiation, curves in a space, intrinsic geometry of a surface, fundamental formulae of a surface, curves on a surface); applied mathematics (dynamics of a particles, dynamics of rigid bodies, electricity and magnetism, mechanics of continuous media, special theory of relativity).
"An unabridged and unaltered reproduction of the work originally published under the title: Applications of the absolute differential calculus."
Bibliography: (page 314).
Part I: Algebraic preliminaries -- Part II: Algebraic geometry -- Part III: Differential geometry -- Part IV: Applied mathematics.