Volume 1: Chapter 1. Mathematical expression of the main categories of philosophy and logic. Chapter 2. Kinematics and dynamics of exchange.

Volume 2: Chapter 3. Structure of Space of the Universe. Chapter 4. Electrostatic and electromagnetic fields. Chapter 5. Particles and exchange in an electromagnetic field.

Volume 3: Chapter 6. Atomic structure of matter-space-time and physical properties of substance. Chapter 7. Physics and philosophy.

Vol.1. As is known, the main characteristic feature of dialectics is a juncture of the material and ideal Worlds, which is the most important contradiction of the Universe. This contradiction joins all the other contradictions of the Universe. Of all philosophic systems, dialectics alone expresses the objective contradictions most completely by considering them as a basis for everything that exists in the Universe. Translating the concept of contradictions and noncontradictions into the language of mathematics, the authors have constructed a mathematical description based on the mathematics of the material-ideal numerical field, which allows sufficiently accurate expression of the laws of dialectics in mathematical form and, preceeding from them, a description of axioms of physics. Herein, a theory of discrete derivatives is considered. Notions of multiplicatives derivatives and multiplicative integrals are introduced.

The language of the main notions and axioms of physics is extended substantially. Against to classical tradition, motion and rest are concerned in close nonseparable contradictory relation. This dialectical bond are expressed by the dialectical material-ideal field of numbers and a binary set of notions. Every binary pair of the notions describes corresponding aspects of motion and rest giving opportunity to see both kinetic and potential sides of kinematics and dynamics of real processes. The nonforce description of relations between objects, called exchange, is used here. It differs in principle from the classical approach based on the notion of force interaction.

Vol.2. A new approach, based on direct solutions of the wave equation of space, was used here for description of internal spatial structure of atoms. It was shown that an atom has a quasispherical shell structure with the kinetic and potential extremes-nodes. The potential nodes are completed at most than by two neutrons, i.e., atoms are actually elementary neutron (H-atom) molecules. Herein, the relation of geometry of such H-atom molecules ("mulinuclear" atoms) with the crystal structure of substances was found.

In the framework of the theory of exchange, the nature of mass and charge is revealed and the formulae of mass and charge of elementary particles (including an electron, proton, etc.) are derived. With that, the nature of two qualitatively different charges, electric and magnetic, is elucidated. The formula, reflecting natural relations between masses and charges of elementary particles, is presented. As follows from the data obtained, the electrostatic field is actually an exafrequency field. New calculated formulae for some mass exchange parameters, including the Planck constant, are given. All constants and variables are expressed in a system of units that does not contain fractional powers in the formulae of dimensionalities.

Vol.3. The interrelation between micro- and megaspaces of microparticles (elementary particles) is considered here at the beginning. It has been shown that the structure of the calculated gravitational shells of microparticles correlates with the structure of the wave shells of the Solar system.

The theory of wave motion-rest, developed in this book, allowed authors harmoniously to describe the classical phenomena of transfer. Namely, the coefficients of diffusion, viscosity, and thermal conductivity have been obtained on the basis of nucleonic characteristics of mater-space.

Wave thermodynamics of energy exchange revealed the relation between heat capacity, two-dimensional energy density (the coefficient of surface tension), the energy of phase transitions, and the nucleon structure of atoms and molecules.

The general wave description of motion on the subatomic and atomic levels allowed the authors to determine the specific "electrical" and diffusion resistances for electrons and nucleons. It has been proven that motion of "holes" is the motion of nucleons (protons and neutrons) in the atomic wave space-field.

The Hall constant is, actually, the specific nucleon resistance of atomic space. Corresponding formulae, obtained here in terms of the accepted concept, indicate that the Hall constant depends only on the atomic parameters of matter-space. These parameters do not include such a classical parameter of the Hall constant as the concentration of carriers of a current.

The wave theory of mobility of electrons and nucleons presented here is in perfect agreement with the experimental data. It has been revealed that the features of the semiconductor conductivity are connected with the metastable nucleon nodes (collateral extremes-nodes) of atomic shells of semiconductor materials. It has also been shown that the thermoelectric phenomena are mainly related with the nucleon structure of matter.

The theory of wave scattering on nucleons, contained in an atom (following the developed new atomic model), has been expounded. Scattering cross-sections of nucleons, which are considered in contemporary physics as scattering cross-sections of atomic nuclei, have been calculated herein.

The correlation between the geometry of nucleon shells of atoms and the wave geometry of matter-space of substance has been investigated. On the basis of the polar-azimuth distribution of nucleon nodes in atoms, the characteristic angles of crystal structures have been determined. It has been found that the nucleon geometry of an atom defines the form of crystals.

In terms of the alternative theory, developed in the book, the spectra of a hydrogen atom, the nucleon spectra of atoms (optical spectra), X-ray spectra (spectra of nucleon clusters), and spectra of nucleon transitions (atomic spectra) have been described.

The theory of super-low negative absolute temperatures, which occur in the cores of stars under the influence of superhigh pressures, has been put forwarded here.

Some important features of the discrete structure of atoms are summarized in generalized table of the elements. It represents a sequential series of the periodically recurring-nonrecurring solutions of the wave equation in the traditional form of the periodic table and show the nature of quasiperiodicity of atomic structures.

The new system of units based on fundamental units of matter, space, and time with integer powers forms a significant part of the volume. Some dialectical aspects of the Universe, main postulates of dialectical philosophy and logic, elements of the theory of sets and concrete dialectics are touched upon here briefly.