《张量计算与应用TENSORCALCULUSWITHAPPLI来自CATIONS》是2003年出版的图书,作者是Gotdberg,Vl征受了呀胶边营adislavV.。
来自《张量计算与应用TENSORCALCULUSWITHAPPLICATIONS》是2003年出南子煤减钱版的图书,作者是Gotdberg,VladislavV.。
内容介绍
This textbook presents the foundatio360百科ns of tensor calculus and the elements of tensor analysis, in addition to considering numerous applications of tensors to geometry, mec钢去决决世失hanics and physics. While developing tensor calculus, the authors emphasize its relationship with linear algebra. N响齐并ecessary 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 cond深教注除心ucted in th回煤门厚干ree-dimension构始二席土al space. The principal feature of the bo权胶ok is that the authors use mainly orthogonal tensors, since such tensors are important in appli才效每把玉斯笑cations to physic拉油费s and engineering. All notions introduced in the book, and also the obtained results, 准风抗领时控首are illustrated with numerous examples discussed in the text. E断统斯ach section of the book presents problems (a total over 300 problems are given). Examples and problems are intended to illustrate, reinforce textbook presents the foundations of tensor calculus and the elements of tensor analysis, i几待后欢轴n addition to considering numerous applications of tensors to geometry, mechanics and physics. While developing tensor calculus, the authors emphasize its relationship with linear algebra. 传至速六露际入之场商Necessary noti热误社气胡之ons and theorems of linear algebra are introduced and proved 六院型in connection with the construction of the apparatus of tensor calculus; prior kn五殖副画冷划owledge is not assumed. 升径站型易论官甲亮它For simplicity and to enable the reader to visuali序找建括月听区击银别吃ze 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, sincesuch tensors are important in applications to physics and engineering. 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 (he problems, as well as hints and solutions to selected problems at the end of the book.