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Price: 1179.00 RUB
This monograph by Dmitry and Andrey Polishchuk introduces integration mechanics, a new domain unifying mathematics, physics, and applied philosophy to solve interconnected nonlinear problems. The work presents a synthesis of Newtonian and Eulerian mechanics, a unified theory of spatial vibrations for helical thin beams, and a consolidated approach to various types of stability loss. It covers nonlinear statics, new impact theories, and critical speeds in spring mechanisms with inertial coil collision.
The authors propose system-operator mechanics and a physical-mathematical testing ground for verifying numerical methods. They advocate for compact, accessible education and applied philosophy to reduce dimensions and increase durability in spring mechanisms. A "nature gene" is developed for qualitative assessment of natural principles. Classical mechanics serves as a learning step, demonstrating the effectiveness of special information operators to compress axioms, theorems, and laws. These operators extend beyond technical disciplines to art and culture.
Integration mechanics yields numerous new scientific results and challenges the foundations of natural sciences (mathematics, physics, mechanics, quantum mechanics, electrodynamics) built on linear problems. This field is rich in new physical ideas, advancing the "frontier" of science.
Price: 1179.00 RUR