%   Filename:	 0-book0.tex ()
%   Last update: , 2006
%   Purpose:	 Front matter (material preceding the main text) of the book
%		 BOOK'S TITLE

%	Author (and responsible for all, errors):

%***************************************************************************%
%**                                                                       **%
%**	 Book style of BOZHIDAR ZAKHARIEV ILIEV: 		 	  **%
%**                                                                       **%
%**	 Laboratory of Mathematical Modeling in Physics			  **%
%**	 Institute for Nuclear Research and Nuclear Energy                **%
%**	 Bulgarian Academy of Sciences                                    **%
%**	 Boul. Tzarigradsko chauss\'ee~72, 1784 Sofia, Bulgaria           **%
%**	 E-mail address: bozho@inrne.bas.bg				  **%
%**      URL: http://theo.inrne.bas.bg/~bozho/ 		       		  **%
%**                                                                       **%
%**                                                                       **%
%**			(May be used freely by everybody)                 **%
%**                                                                       **%
%***************************************************************************%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%                                                                       %%
%% 		Beginning of \CharacterTable                             %%
%%                                                                       %%
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z  %%
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z  %%
%%   Digits        \0\1\2\3\4\5\6\7\8\9                                  %%
%%   Exclamation   \!     Double quote  \"     Hash (number) \#          %%
%%   Dollar        \$     Percent       \%     Ampersand     \&          %%
%%   Acute accent  \'     Left paren    \(     Right paren   \)          %%
%%   Asterisk      \*     Plus          \+     Comma         \,          %%
%%   Minus         \-     Point         \.     Solidus       \/          %%
%%   Colon         \:     Semicolon     \;     Less than     \<          %%
%%   Equals        \=     Greater than  \>     Question mark \?          %%
%%   Commercial at \@     Left bracket  \[     Backslash     \\          %%
%%   Right bracket \]     Circumflex    \^     Underscore    \_          %%
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|          %%
%%   Right brace   \}     Tilde         \~}                              %%
%%                                                                       %%
%% 		End of \CharacterTable                                   %%
%%                                                                       %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


% Preliminary pages numbered in lower case Roman numerals
\pagenumbering{roman}


\renewcommand{\thefootnote}{\fnsymbol{footnote}} % special footnote symbols
\maketitle				% the title (page) is put here
\renewcommand{\thefootnote}{\arabic{footnote}}   % usual footnote symbols


\setcounter{page}{4}		% Kluwer prepares the first 4 pages!!!




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%									%%%%%
%%%%%		actual beginning of the document			%%%%%
%%%%%									%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
%	Front matter of the book: BEGINNING

\typeout{}
\typeout{????????????????????????????????????????????????????????????????}
\typeout{}
\typeout{This is the front matter of the book }
\typeout{"BOOK'S TITLE" }
\typeout{by Bozhidar Zakhariev Iliev}
\typeout{Its initial draft version was written during the period}
\typeout{???-- ???}
\typeout{}
\typeout{vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv}
\typeout{}


\chapter*{Dedication}	\Label{Dedication}
\addcontentsline{toc}{chapter}{Dedication}


\renewcommand{\contentsname}{Table of Contents}
\tableofcontents		% the table of contents is put here



\chapter*{List of conventions}
\addcontentsline{toc}{chapter}{List of conventions}
\thispagestyle{myheadings}
\markboth{\slshape LIST  OF CONVENTIONS}{\slshape LIST  OF CONVENTIONS}


\paragraph*{References.}

The book is divided into chapters which have a sequential Roman
enumeration. The chapters are divided into sections with a sequential Arabic
enumeration, which is independent in each chapter. Some section are divided
into subsection,

	In each chapter the subsections, equations, propositions, theorems,
lemmas, and so on have a double independent enumeration of the
form~\textbf{m.n} or~\textbf{(m.n)} for the equations,
\textbf{m,n=1,2,$\boldsymbol{\ldots}$}\ where~\textbf{m} is the number of the
section in which the designated item appears and~\textbf{n} is its sequential
number in it. So, proposition~4.7 and~(3.12) (or equation~(3.12)) mean
respectively proposition~7 in section~4 and equation~12 in section~3 of the
current chapter. A suitable item from a chapter different from the current
one is referred as~\textbf{R.m}, or~\textbf{R.m.n} or~\textbf{(R.m.n)} for
equations, where \textbf{R=I,II,$\boldsymbol{\ldots}$}\ is the Roman number
of the chapter in which the item appears; \eg remark~II.5.3 and IV.4 (or
section~IV.4) mean respectively remark~3 in section~5 of chapter~II and
section~4 in chapter~IV.

	The footnotes are indicated as superscripts in the main text and have
independent Arabic enumeration in each section. When we refer to a footnote,
it is on the current page if the page on which it appears is not explicitly
indicated.

\paragraph*{Citations.}
An Arabic number in square brackets, e.g.~[27], directs the reader to the
list of references, \ie in this example~[27] means the~27$^\mathrm{th}$ item
from the Bibliography list beginning on page~\pageref{Bibliography}.

\paragraph*{The ends of the proofs} are marked by empty square sign,
viz.\ with \QEDsymbol.

\paragraph*{Indices.}	\label{indices}
The Latin indices refer to an arbitrary linear (vector) space, in
particular to the tangent and cotangent spaces. If in a given problem are
presented the tangent and cotangent spaces to a manifold and other vector
space(s), then the indices referring to the first two spaces are denoted with
small Greek letters; for the rest one(s) the Latin letters will be used.

\paragraph*{Einstein's summation convention:}	\Label{Einstein}
in a product of quantities or in a single expression, a summation over indices
repeated on different levels is assumed over the whole range in which they
change. Any exception of this rule is explicitly stated.

\paragraph*{Symmetrization and antisymmetrization.}
	\Label{(anti)symmetrization}%
On indices included in (or surrounded by) round (resp.\ square) brackets a
symmetrization (resp.\ antisymmetrization) with coefficient one over the
factorial of their number is assumed. If some indices in such a group have to
be excluded from this operation, they are included in (surrounded by) vertical
bars.

\paragraph*{Matrix of linear mapping}
with respect to a given basis, or bases, or field of, possibly local,
bases:  the same symbol but the kernel letter is in
\textbf{boldface}. Exception: the matrix of a derivation (derivative
operator) is denoted by boldface capital Greek letter gamma, \ie by
$\bs{\Gamma}$, possibly with some indices.

\paragraph*{Matrix elements.}	\label{MatrixElements}
When the elements of a (two-dimensional) matrix
are labeled by superscript and subscript, the superscript is considered as a
first index, numbering the matrix's rows, and the subscript as a second one,
numbering the matrix's columns. In this way the matrix of composition of
linear mappings is equal to the product of the matrices of the operators in
the same order in which they appear in the composition and this does not
depend on the way the matrix's indices are situated.

\paragraph*{Free arguments.}	\label{FreeArguments}
If we want to show explicitly the argument(s) of some mapping or to single
out it (them) as arbitrary while the other arguments, if any, are
considered as fixed ones, we denote it (them) by (centered) dot, \ie by
$\cdot$. E.g., if $f\colon A\to C$ and $g\colon A\times B\to C$, then
$f(\cdot)\equiv f$, $g(\cdot,\cdot)\equiv g$, and $g(\cdot,b)$,
$b\in B$, means $g(\cdot,b)\colon A\to C$ with
$g(\cdot,b)\colon a \mapsto g(a,b)$ for all $a\in A$.






\chapter*{Preface}
	\Label{Preface}
	\addcontentsline{toc}{chapter}{Preface}
\thispagestyle{myheadings}
\markboth{\slshape PREFACE}{\slshape PREFACE}




	The basic mathematical prerequisites vary form chapter to chapter but
generically they include the grounds of vector (linear) spaces, differentiable
manifolds, vector bundles, connection theory, and a firm belief in the
existence and uniqueness theorems of ordinary differential equations. Some of
the corresponding concepts and results are reproduced in our text but the
acquaintance with adequate literature is required. Appropriate references
are given in the Introductions to the chapters and directly in the main text.



\begin{center}
\tiny$\star$ \footnotesize$\star$ \large$\star$ \LARGE$\star$
\Huge$\star$ $\bigstar$ $\star$
\LARGE$\star$ \large$\star$ \footnotesize$\star$ \tiny$\star$
\end{center}
\nopagebreak

	Any suggestions and comments are welcome. The authors' postal
address is
	\begin{quote}\sffamily\bfseries
Bozhidar Zakhariev Iliev,
Laboratory of Mathematical Modeling in Physics,
Institute for Nuclear Research and Nuclear Energy,
Bulgarian Academy of Sciences,
Boul.\ Tzarigradsko chauss\'ee~72, 1784 Sofia, Bulgaria,
	\end{quote}
his e-mail address is
	\begin{quote}\sffamily\bfseries
bozho@inrne.bas.bg
	\end{quote}
and
	\begin{quote}\sffamily\bfseries
http://theo.inrne.bas.bg/$\sim$bozho/
	\end{quote}
is the URL address of his personal World Wide Web site.

 \vspace*{3.2ex}
\noindent
 \hfill%
\begin{minipage}{7em}
Sofia, Bulgaria\\
17 May, 2004
\end{minipage}




\chapter*{Acknowledgments}
	\Label{Acknowledgments}
	\addcontentsline{toc}{chapter}{Acknowledgments}
\thispagestyle{myheadings}
\markboth{}{\slshape ACKNOWLEDGMENTS}



\vspace{4ex}

\hfill Bozhidar Z. Iliev

\noindent%
% \today
, 2004
\\ Sofia, Bulgaria


\newpage\hspace*{0pt}

%	Front matter of the book: END
%<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<




%****************************************************************************
%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%
%		BEGINNING OF THE MAIN TEXT
%
%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%****************************************************************************


\newpage
\pagenumbering{arabic}% Main pages numbered in Arabic numerals
\setcounter{page}{1}%   Renumbering of the pages



