Training. allowance. — Ukhta: UGTU, 2006. — 48 s. — ISBN 5-88179-389-7 . The manual describes the basic information from vector and tensor algebra; contains a number of solved examples and problems of vector algebra and tensor calculus. The manual is intended for students of aerodynamics, elasticity theory and other subjects using the tensor apparatus, as well as for students of technological and construction specialties both full-time and part-time forms of education. Tensors and mechanics of continuous medium. Scalars and vectors. Coordinate systems. Base vectors. Tasks with solutions. Diades and Diadices . Tasks with solutions. Index designations. Index change interval and summation agreement. Tasks with solutions. Conversion of coordinates. Metric tensor . Tasks with solutions. The Law of Transformation of Cartesian Tensors . Delta Kronecker . Conditions of orthogonality. Tasks with solutions. Actions with tensors. Linear vector functions. Levy-Civita Tensor . Tasks with solutions. Main value and main direction of the symmetric tensor of the second rank. Tasks with solutions. Spatial derivatives. Tasks with solutions.