1. Interpolation problems play an important role both in theoretical and appli...1. Interpolation problems play an important role both in theoretical and applied investigations. This explains the great number of works dedicated to classical and new interpolation problems ([1)-[5] [8) [13)-[16] [26)-[30] [57]). In this book we...more
1. Interpolation problems play an important role both in theoretical and appli...1. Interpolation problems play an important role both in theoretical and applied investigations. This explains the great number of works dedicated to classical and new interpolation problems ([1)-[5] [8) [13)-[16] [26)-[30] [57]). In this book we...more
Unlike most elementary books on matrices A Combinatorial Approach to Matrix Th...Unlike most elementary books on matrices A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory shedding new light on the subject by exploring the...more
1. Interpolation problems play an important role both in theoretical and appli...1. Interpolation problems play an important role both in theoretical and applied investigations. This explains the great number of works dedicated to classical and new interpolation problems ([1)-[5] [8) [13)-[16] [26)-[30] [57]). In this book we...more
Classicalexamples of moreand more oscillatingreal-valued functions on a domain...Classicalexamples of moreand more oscillatingreal-valued functions on a domain N ?of R are the functions u (x)=sin(nx)with x=(x ... x ) or the so-called n 1 1 n n+1 Rademacherfunctionson]0 1[ u (x)=r (x) = sgn(sin(2 x))(seelater3.1.4). n n They may...more
Spline functions entered Approximation Theory as solutions of natural extremal...Spline functions entered Approximation Theory as solutions of natural extremal problems. A typical example is the problem of drawing a function curve through given n + k points that has a minimal norm of its k-th derivative. Isolated facts about the...more
Semiring theory stands with a foot in each of two mathematical domains. The fi...Semiring theory stands with a foot in each of two mathematical domains. The first being abstract algebra and the other the fields of applied mathematics such as optimization theory the theory of discrete-event dynamical systems automata theory and...more
This book is devoted to some results from the classical Point Set Theoryand t...This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the real line. Notice that various topics from this theory are presented in several books and surveys....more
Et moi ... si j avait su comment en revenir je One service mathematics bas ren...Et moi ... si j avait su comment en revenir je One service mathematics bas rendered the human race. It bas put common sense back n y serais point all . where it belongs on the topmost shelf next to lu1esVeme the dusty canister labelled discarded...more
Recent years have been characterized by the increasing amountofpublications in...Recent years have been characterized by the increasing amountofpublications in the field ofso-called ill-posed problems. This is easilyunderstandable because we observe the rapid progress of a relatively young branch ofmathematics ofwhich the first...more
An update of the most accessible introductory number theory text available Fun...An update of the most accessible introductory number theory text available Fundamental Number Theory with Applications Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the...more
Finslerian Laplacians have arisen from the demands of modelling the modern wor...Finslerian Laplacians have arisen from the demands of modelling the modern world. However the roots of the Laplacian concept can be traced back to the sixteenth century. Its phylogeny and history are presented in the Prologue of this volume. The...more
One service mathematics has rendered the Et moi .... si favait su comment en r...One service mathematics has rendered the Et moi .... si favait su comment en revenir je n y seTais point alle. human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled discarded...more
Integral representations of holomorphic functions play an important part in th...Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com- plex analysis (in the later case alongside with integration over the whole boundary aD...more
A number of optimization problems of the mechanics of space flight and the mot...A number of optimization problems of the mechanics of space flight and the motion of walking robots and manipulators and of quantum physics eco- momics and biology have an irregular structure: classical variational proce- dures do not formally make...more