000 02741cam a2200361Ia 4500
001 0000069706
003 0001
005 20240612121633.0
008 160922s2003 njua b 001 0 eng d
020 _a9812385053 (hardback.)
020 _a9812385061 (pbk.)
020 _a9789812385053
040 _aZQP
_cZQP
_dZCU
_dOCLCQ
_dCIN
082 _a515.63
084 _a515.63
_bAKI-T
100 1 _aAkivis, Maks A.
_q(Maks Aizikovich)
245 1 0 _aTensor calculus with applications /
_h[Book] /
_ctranslated from Russian by Vladislav V. Goldberg.
260 _aToh Tuck Link ; :
_bWorld Scientific Publishing Co. Pte. Ltd. ;,
_c2003.
300 _axii, 367 pages :
_billustrations. ;
_c23 cm.
500 _aTranslation of: Tenzornoe ischislenie
520 _aThis textbook presents the foundations of tensor calculus and the elements of tensor analysis. In addition, the authors consider numerous applications of tensors to geometry, mechanics and physics.While developing tensor calculus, the authors emphasize its relationship with linear algebra. Necessary notions and theorems of linear algebra are introduced and proved in connection with the construction of the apparatus of tensor calculus; prior knowledge is not assumed. For simplicity and to enable the reader to visualize concepts more clearly, all exposition is conducted in three-dimensional space. The principal feature of the book is that the authors use mainly orthogonal tensors, since such tensors are important in applications to physics and engineering.With regard to applications, the authors construct the general theory of second-degree surfaces, study the inertia tensor as well as the stress and strain tensors, and consider some problems of crystallophysics. The last chapter introduces the elements of tensor analysis.All notions introduced in the book, and also the obtained results, are illustrated with numerous examples discussed in the text. Each section of the book presents problems (a total over 300 problems are given). Examples and problems are intended to illustrate, reinforce and deepen the presented material. There are answers to most of the problems, as well as hints and solutions to selected problems at the end of the book.
521 _aAll.
521 _aAll
650 0 _aCalculus of tensors.
650 0 _aAlgebras, Linear.
650 0 _aManagement Sciences--
_vProject Management--
650 0 _aProject Management--
650 0 _aProject success
_xCohesiveness
_xCollaboration.
650 0 _aGoal clarity
_xCommunication
_xTeamwork.
700 _aGol'dberg, V. V.
_q(Vladislav Viktorovich)
852 _p53954
_h515.63 AKI-T
_bGround Floor
_dBooks
_t1
_q2-Good
_aJZL-CUI
942 _2ddc
_cBK
999 _c76031
_d76031