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Нинул А. С.
   Тензорная тригонометрия = Tensor Trigonometry / Нинул А. С. - 3-е изд., обновлённое и доп. - М. : Физматкнига, 2025. - 320 с. : ил. - Библиогр.: с. 309-312. - Книга на английском языке. - ISBN 978-5-89155-429-0.

The Tensor Trigonometry, with revealing a tensor nature of the angles and their functions and added by differential trigonometry, is developed for wide applications in various fields.
Planimetry includes metric part and trigonometry. In geometries of metric spaces from the end of XIX age their tensor forms are widely used. Trigonometry was remaining in its scalar flat forms. Tensor Trigonometry is its development from Leonard Euler classic forms into spatial /с-dimensional (at к > 2) tensor forms with vector and scalar orthoprojections, with step by step increasing a complexity and opportunities. Described in the book are fundamentals of this new mathematical subject with many initial examples of applications.
In theoretic plan, Tensor Trigonometry complements naturally Analytic Geometry and Linear Algebra. In practical plan, it gives the clear tools for analysis and solutions of various geometric and physical problems in homogeneous isotropic spaces, as Euclidean, quasi- and pseudo-Euclidean ones, on perfect surfaces of constant radius embedded into them with n-D non-Euclidean Geometries, and in Theory of Relativity. So, it gives classic projective models of non-Euclidean Geometries as trigonometric ones, general laws of summing two-steps and polysteps motions in complete differential and integral forms with polar decomposition of the sum into principal and induced orthospherical motions. The applications were developed till the differential tensor trigonometry of world lines and curves in 3D and 4D pseudo- and quasi-Euclidean spaces, in addition, to the classic Frenet-Serret theory, with absolute and relative differential-geometric parameters of curves, main kinematic and dynamical characteristics of a body moving in space-time along a world line with 4-velocity of Poincare. Due to our tensor trigonometric approach, clear explanations of all well-known and new STR and GR relativistic effects are given with physical interpretations in full agreement with the Law of Energy-Momentum conservation, Quantum Mechanics, Noether Theorem and Higgs Theory.
The Tensor Trigonometry can be useful in various domains of mathematics and physics. It is intended to researchers in the fields of analytic geometry of any dimension, linear algebra with matrix theory, non-Euclidean geometries, theory of relativity, quantum mechanics and to all those who is interested in new knowledges and applications, given by exact sciences. It may be useful for educational purposes with this new math subject in the university and graduate schools departments of algebra, geometry and physics - relativistic and classical.