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by A. T. Fomenko (Author)One service mathematics has rendered the 'Eot moi, ..., si j'avait JU comment en revenir. human race. h has put common sense back je n'y serais point aUe: ' Jules Verne where it belongs, 011 the topmost shelf nen to the dusty canister labeUed 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. H es viside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- lin...
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by V. L. Girko (Author)'Et mm. ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point all': '' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf IIClI.t to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- li...
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by V. a. Malyshev (Author), Robert A. Minlos (Author)'Et moi, ..., si j' avait su comment en revenir, One service mathematics has rendered the human race. It has put common sense back je n'y serais point aIle.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'" able 10 do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world wher...
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by G. Dall'aglio (Editor), S. Kotz (Editor), G. Salinetti (Editor)'Et moi -...- si j'avait su comment en rcvenir. One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canistcr labelled 'discarded non- sense'. The scries is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in ...
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by Y. Sakamoto (Author)This volume presents a practical and unified approach to categorical data analysis based on the Akaike Information Criterion (AIC) and the Akaike Bayesian Information Criterion (ABIC). Conventional procedures for categorical data analysis are often inappropriate because the classical test procedures employed are too closely related to specific models. The approach described in this volume enables actual problems encountered by data analysts to be handled much more succ...
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by C. Bartocci (Author), U. Bruzzo (Author), Daniel Hernández-Ruipérez (Author)'Et moi, ...- si favait III mmment en revenir, One service mathematics has rendered the je n'y serais point aile: ' human race. It has put CXlUImon sense back Iules Verne where it belongs. on the topmost shelf next to the dUlty canister lahelled 'discarded non- The series i. divergent; therefore we may be able to do something with it. Eric T. Bell O. Hesvi.ide Mathematics is a tool for thOUght. A highly necessary t...
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by L. Saulis (Author), V. a. Statulevicius (Author)"Et moi, ...- si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. H ea viside Mathematics is a tool for thought. A highly necessary tool in a world wher...
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by Takeyuki Hida (Author), Hui-Hsiung Kuo (Author), Jürgen Potthoff (Author)Many areas of applied mathematics call for an efficient calculus in infinite dimensions. This is most apparent in quantum physics and in all disciplines of science which describe natural phenomena by equations involving stochasticity. With this monograph we intend to provide a framework for analysis in infinite dimensions which is flexible enough to be applicable in many areas, and which on the other hand is intuitive...
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by V. V. Trofimov (Author)One ofthe most important features of the development of physical and mathematical sciences in the beginning of the 20th century was the demolition of prevailing views of the three-dimensional Euclidean space as the only possible mathematical description of real physical space. Apriorization of geometrical notions and identification of physical 3 space with its mathematical modellR were characteristic for these views. The discovery of non-Euclidean geometries led math...
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by M. Armstrong (Editor), P. a. Dowd (Editor)When this two-day meeting was proposed, it was certainly not conceived as a celebration, much less as a party. However, on reflection, this might have been a wholly appropriate gesture because geostatistical simulation came of age this year: it is now 21 years since it was first proposed and implemented in the form of the turning bands method. The impetus for the original development was the mining industry, principally the problems encountered in ...
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by V. a. Vassiliev (Author)Many special functions occuring in physics and partial differential equations can be represented by integral transformatIons: the fundamental solutions of many PDE's, Newton-Coulomb potentials, hypergeometric functions, Feynman integrals, initial data of (inverse) tomography problems, etc. The general picture of such transfor- mations is as follows. There is an analytic fibre bundle E --+ T, a differential form w on E, whose restrictions on the fibres are closed, an...
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by A. N. Tikhonov (Author), A. Goncharsky (Author), V. V. Stepanov (Author)Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for generalised' solutions, leading to the need to develop regul...
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by William T. Parry (Author), Edward A. Hacker (Author)This book provides detailed treatment of topics in traditional logic: the theory of terms; the theory of definition; the informal fallacies; and division and classification. Aristotelian Logic teaches techniques for solving semantic problems -- problems caused by confusion over terminology. It teaches the theory of definition -- the different kinds of definition and the criteria by which each is judged. It also teaches that definitions ar...
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by E. S. Fradkin (Author), Mark YA Palchik (Author)Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a cprtain class of models. This task seems to be quite feasible in the light of recent resllits. The situation here is to some extent similar to what was going on in the past ypars with the two-dime...
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by A. Driessen (Editor), Antoine Suarez (Editor)On January 22, 1990, the late John Bell held at CERN (European Laboratory for Particle Physics), Geneva a seminar organized by the Center of Quantum Philosophy, that at this time was an association of scientists interested in the interpretation of quantum mechanics. In this seminar Bell presented once again his famous theorem. Thereafter a discussion took place in which not only physical but also highly speculative epistemological and philosophi...
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by Lung-An Ying (Author), Pingwen Zhang (Author)This book aims to provide a comprehensive study of the mathematical theory of the vortex method, from its origins in the 1930s, through the developments of the '70s when the use of computers made advanced research possible, to current work on this subject in China and elsewhere. The five chapters treat vortex methods for the Euler and Navier-Stokes equations; mathematical theory for incompressible flows; convergence of vortex methods for the Eu...
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by Maarten Marx (Author), Yde Venema (Author)Modal Logic is a branch of logic with applications in many related disciplines such as computer science, philosophy, linguistics and artificial intelligence. Over the last twenty years, in all of these neighbouring fields, modal systems have been developed that we call multi-dimensional. (Our definition of multi-dimensionality in modal logic is a technical one: we call a modal formalism multi-dimensional if, in its intended semantics, the universe ...
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by J. P. Ward (Author)In essence, this text is written as a challenge to others, to discover significant uses for Cayley number algebra in physics. I freely admit that though the reading of some sections would benefit from previous experience of certain topics in physics - particularly relativity and electromagnetism - generally the mathematics is not sophisticated. In fact, the mathematically sophisticated reader, may well find that in many places, the rather deliberate progress too slow for...
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by A. B. Piunovskiy (Author)Controlled stochastic processes with discrete time form a very interest- ing and meaningful field of research which attracts widespread attention. At the same time these processes are used for solving of many applied problems in the queueing theory, in mathematical economics. in the theory of controlled technical systems, etc. . In this connection, methods of the theory of controlled processes constitute the every day instrument of many specialists working in the a...
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by S. L. Sobolev (Author), Vladimir L. Vaskevich (Author)This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and o...
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by G. V. Milovanovic (Editor)This volume is dedieated to Professor Dragoslav S. Mitrinovic (1908-1995), one of the most accomplished masters in the domain of inequalities. Inequalities are everywhere and play an important and significant role in almost all subjects of mathematies including other areas of sciences. Professor Mitrinovic often used to say: "There are no equalities, even in the human life, the inequalities are always met". Inequalities present a very active and attractive field o...
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by Grigore Calugareanu (Author), P. Hamburg (Author)Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surel...
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by Kunio Murasugi (Author), B. Kurpita (Author)In Chapter 6, we describe the concept of braid equivalence from the topological point of view. This will lead us to a new concept braid homotopy that is discussed fully in the next chapter. As just mentioned, in Chapter 7, we shall discuss the difference between braid equivalence and braid homotopy. Also in this chapter, we define a homotopy braid invariant that turns out to be the so-called Milnor number. Chapter 8 is a quick review of knot theo...
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by R. L. Cignoli (Author), Itala M. D'Ottaviano (Author), Daniele Mundici (Author)The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewicz and its algebras, Chang's MV -algebras. This book is for self-study: with the possible exception of Chapter 9 on advanced topics, the only prere- quisite for the reader is some acquaintance with classical propositional logic, and elementary algebra and topology. In this...
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by Victor N. Kasyanov (Author), Vladimir A. Evstigneev (Author)In delivering lectures and writing books, we were most often forced to pay absolutely no attention to a great body of interesting results and useful algorithms appearing in numerous sources and occasionally encountered. It was absolutely that most of these re- sults would finally be forgotten because it is impossible to run through the entire variety of sources where these materials could be published. Therefore, we decided to do ...
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by Luc Bauwens (Author), Pierre Giot (Author)Over the past 25 years, applied econometrics has undergone tremen- dous changes, with active developments in fields of research such as time series, labor econometrics, financial econometrics and simulation based methods. Time series analysis has been an active field of research since the seminal work by Box and Jenkins (1976), who introduced a gen- eral framework in which time series can be analyzed. In the world of financial econometrics and the ...
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by H. Paul Santmire (Author)The Travail of Nature shows that the theological tradition in the West is neither ecologically bankrupt, as some of its popular and scholarly critics have maintained, nor replete with immediately accessible, albeit long-forgotten, ecological riches hidden everywhere in its deeper vaults, as some contemporary Christians, who are profoundly troubled by the environmental crisis and other related concerns, might wistfully hope to find. This is why it is appropriate to ...
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by Christiane L. Joost-Gaugier (Author)Surviving fragments of information about Pythagoras (born ca. 570 BCE) gave rise to a growing set of legends about this famous sage and his followers, whose reputations throughout Antiquity and the Middle Ages have never before been studied systematically. This book is the first to examine the unified concepts of harmony, proportion, form, and order that were attributed to Pythagoras in the millennium after his death and the important developments to whi...
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by Stephen Van Evera (Author)Stephen Van Evera greeted new graduate students at MIT with a commonsense introduction to qualitative methods in the social sciences. His helpful hints, always warmly received, grew from a handful of memos to an underground classic primer. That primer evolved into a book of how-to information about graduate study, which is essential reading for graduate students and undergraduates in political science, sociology, anthropology, economics, and history - and for thei...
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by David Joyner (Author)This updated and revised edition of David Joyner's entertaining "hands-on" tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys.Joyner uses permutation puzzles such as the Rubik's Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin's Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra and group theory. Subjects covered include the Cayley graphs, symmetries...
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by Arthur A. Stein (Author)Author BiographyArthur A. Stein is Professor of Political Science at the University of California, Los Angeles. Number of Pages: 232 Dimensions: 0.65 x 8.96 x 6.1 IN Publication Date: January 26, 1993
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by Hilary Gatti (Author)The Renaissance philosopher Giordano Bruno was a notable supporter of the new science that arose during his lifetime; his role in its development has been debated ever since the early seventeenth century. Hilary Gatti here reevaluates Bruno's contribution to the scientific revolution, in the process challenging the view that now dominates Bruno criticism among English-language scholars. This argument, associated with the work of Frances Yates, holds that early modern s...