Borisenko A.I., Tarapov I.E. — Vector and Tensor Analysis with Applications :: Электронная библиотека попечительского совета мехмата МГУ

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Borisenko A.I., Tarapov I.E. — Vector and Tensor Analysis with Applications

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Название: Vector and Tensor Analysis with Applications

Авторы: Borisenko A.I., Tarapov I.E.

Аннотация:

The present book is a freely revised and restyled version of the third edition of the Russian original (Moscow, 1966). As in other volumes of this series, I have not hesitated to introduce a number of pedagogical and mathematical improvements that occurred to me in the course of doing the translation. I have also added a brief Bibliography, confined to books in English dealing with approximately the same topics, at about the same level.

Язык:

Рубрика: Математика/Алгебра/Линейная алгебра/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: revised English edition

Год издания: 1968

Количество страниц: 257

Добавлена в каталог: 02.12.2004

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Предметный указатель

Trajectory      151
Tube of flow      153
Unit tensor      70
Unit vector(s)      6 11
Vector analysis      134ff
Vector analysis, fundamental theorem of      223
Vector field(s)      151ff
Vector field(s), flux of      152
Vector field(s), homogeneous      186
Vector field(s), trajectories of      151
Vector function(s) of a scalar argument      35
Vector function(s) of a scalar argument, derivative of      36
Vector function(s) of a scalar argument, integral of      37
Vector function(s) of a scalar argument, rules for differentiating      37
Vector function(s) of a vector argument      65
Vector function(s) of a vector argument, linear      65
Vector potential      216 228
Vector product      16
Vector product, distributivity of      16
Vector triple product      21
Vector tube      218
Vector tube, intensity of      218
Vector(s) as first-order tensors      61—63
Vector(s), addition of      3
Vector(s), addition of, associativity of      4
Vector(s), addition of, commutativity of      4
Vector(s), axial      18 109
Vector(s), basis      9
Vector(s), bound      3
Vector(s), collinear      7 8
Vector(s), components of      15 62
Vector(s), components of, transformation law of      62
Vector(s), contravariant components of      28
Vector(s), coplanar      8

Vector(s), covariant components of      28
Vector(s), expansion of, with respect to vectors      8—9
Vector(s), free      2
Vector(s), linearly dependent      7
Vector(s), linearly independent      7
Vector(s), multiplication of, by a scalar      7
Vector(s), orthonormal      10
Vector(s), physical components of      30
Vector(s), polar      18
Vector(s), projection of, onto an axis      6
Vector(s), radial component of      178
Vector(s), radius      10
Vector(s), scalar product of      14
Vector(s), scalar triple product of      20
Vector(s), sliding      3
Vector(s), subtraction of      5
Vector(s), tangential component of      178
Vector(s), unit      6 11
Vector(s), variable      35
Vector(s), vector product of      16
Vector(s), vector triple product of      20
Vector(s), zero      2
Vector(s), “division” of      23
Velocity potential      222
Viscosity coefficients      97
Viscous compressible fluid      207
Viscous incompressible fluid      207
Viscous stress tensor      92
Vortex line      242
Vortex tube      242
Wave equation      244
Wave vector      245
Wavelength      245
Work      19
Zero vector      2

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