CONTENTS
CONTENTS...........................................................................................................................................2
ANNOTATION
.....................................................................................................................................4
ABSTRACTS OF THE CHAPTERS
...................................................................................................4
EXTENDED
SUMMARY......................................................................................................................6
STRUCTURE
AND PECULIARITIES OF THE MONOGRAPH
...................................................6
METHODS
AND
INSTRUMENTS..................................................................................................8
REVIEW
OF THE MAIN IDEAS IN THE FIRST TWO STRATA
.........................................8
OUTLINING
THE WAY OF THE CHEMISTRY GEOMETRIZATION.................................10
LOGICAL
STRUCTURE OF CHEMISTRY FUNDAMENTALS .............................................10
CONCEPTIONAL
SCHEMES AND MATHEMATICAL MODELS .........................................13
I.
GEOMETRIZATION OF THE SIMPLE CHEMICAL OBJECTS STATICS.......................14
1.
APPROXIMATE SPATIAL MATHEMATICAL MODEL OF DIFFERENT SPECIES OF
ATOMS
.................................................................................................................................14
2.
TWO MORE PRECISE MATHEMATICAL MODELS OF DIFFERENT SPECIES OF
ATOMS
.................................................................................................................................16
3.
MATHEMATICAL MODELS OF DIFFERENT SPECIES OF MONATOMIC IONS....17
CONCEPTIONAL
SCHEMES FOR GEOMETRIZATION OF THE OTHER PARTS OF THE
CHEMISTRY
FUNDAMENTALS .................................................................................................19
II.
DYNAMICS OF SIMPLE CHEMICAL
OBJECTS..............................................................19
III.
STATICS OF COMPLEX CHEMICAL OBJECTS ............................................................20
IV.
DYNAMICS OF COMPLEX CHEMICAL
OBJECTS.......................................................20
CONCLUSION
...............................................................................................................................21
DESCRIPTION
OF
FIGURES.........................................................................................................21
THE
REMAINING..........................................................................................................................22
FIGURES
.............................................................................................................................................23
FIG. 1. SIMPLIFIED SHORT FORM OF THE PERIODIC SYSTEM, DENOTED AS
STARTING TABLE T0. .........23
FIG. 2.1. LONG FORM OF THE PERIODIC SYSTEM, DENOTED AS
STARTING TABLE T1. .........................24
FIG. 2.2. LONG FORM OF THE PERIODIC SYSTEM, DENOTED AS
STARTING TABLE T2. .........................25
FIG. 3. CILINDRYCAL COORDINATES OF THE POINTS P=(Z,ñ,ϕ) WITH RESPECT
TO MENDELEEV’S
COORDINATE SYSTEM KM IN THE MENDELEEV’S SPACE VM(3) .
.........................................................26
FIG. 4. MATHEMATICAL REPRESENTATION OF DIFFERENT SPECIES
OF ATOMS (ISOTOPES) OF THE
CHEMICAL ELEMENT WITH ATOMIC NUMBER I=1...............................................................................27
3
FIG. 5. THE SEMIPLANES ZOϕ(J) (J=1,2,...,8) IN
VM(3).......................................................................28
FIG. 6.1. CONSTRUCTION OF THE AUXILIARY LINE P IN THE PLANE Z=0 OF VM(3). ..........................29
FIG. 6.2. CONSTRUCTION OF THE AUXILIARY LINE P IN THE PLANE Z=0 OF VM(3). ...........................30
FIG. 7.1. CONSTRUCTION OF THE AUXILIARY SURFACE B IN VM(3). .................................................31
FIG. 7.2. AUXILIARY SURFACE B IN VM(3)........................................................................................31
FIG. 8.1. TWO-DIMENSIONAL MATHEMATICAL IMAGES IN THE PLANE Z=0 OF THE
FIRST 11 CHEMICAL
ELEMENTS IN THE MORE PRECISE MATHEMATICAL MODEL Q=ƒ1(S,T1)...............................................32
FIG. 8.2. TWO-DIMENSIONAL MATHEMATICAL IMAGES IN THE PLANE
Z=0 OF THE FIRST 11 CHEMICAL
ELEMENTS IN THE MORE PRECISE MATHEMATICAL MODEL G=ƒ1(S,T2)...............................................33
FIG. 9.1. TWO-DIMENSIONAL MATHEMATICAL IMAGES IN THE PLANE
Z=0 OF ATOMS AND MONATOMIC
IONS IN THE GENERALIZED MATHEMATICAL MODEL Q=F1(S,T1).
..................................................34
FIG. 9.2. TWO-DIMENSIONAL MATHEMATICAL IMAGES IN THE PLANE
Z=0 OF ATOMS AND MONATOMIC
IONS IN THE GENERALIZED MATHEMATICAL MODEL G=F1(S,T2).
.................................................35
4
ANNOTATION
In
the monograph the problem of geometrization of the chemical language is
formulated, grounded
and
partially solved. This monograph sets the begining of a qualitatively new
evolutionary stage in the
chemistry
development - the stage of its geometrization. The concept of geometrization
of chemistry
should
be regarded in the most general sense of the term geometry. By this term
we signify shortly the
main
trend in the development of each science during a given evolutionary stage. The
geometrization
can
be qualified most generally as a gradual transformation of the language of
corresponding science
into a system of such axiomatic formulations of different
logically coherent and non-contradictory
veracious statements of this science, which are
characterized by a large-scale use of spatial
mathematical concepts.
As examples for a quite advanced process of geometrization one can mention
the
mathematical formulations of the classic and quantum mechanics,
electrodynamics, the theory of
relativity,
etc. In addition, the monograph presents an original view on the main point and
purpose of
the
scientific knowledge and an original conception about existence of different
evolutionary stages in
sciences’
development. All this makes the book interesting reading for a wide circle of
readers (from
students
to highly qualified scientists) of different scientific subjects - chemists,
mathematicians,
physicists,
mineralogists, philosophers etc.
ABSTRACTS OF THE CHAPTERS
Structure and peculiarities of the monograph: The basic peculiarity of the monograph, its
complicate
conceptual structure, is presented. Thus the reader is provided by "a
relief map of
conceptual
places" which he will visit during the reading. We comment briefly some
additional
peculiarities
of the monograph related with the notions, ideas, and "instruments of
production" used in
the
book.
Introduction: The main
points of an original view on the essence and purpose of the scientific
knowledge,
which is both the philosophical frame and core of the monograph are presented.
On the
basis
of this view one of the basic aims of the investigation, concerning the
searching and revealing the
connections
between the scientific and philosophical-mystic knowledge is formulated and
grounded.
