Mathematics

Download E-books Optimization and Control with Applications PDF

By A.M. Bagirov, A.M. Rubinov (auth.), Liqun Qi, Koklay Teo, Xiaoqi Yang (eds.)

This booklet includes refereed papers which have been provided on the thirty fourth Workshop of the overseas tuition of arithmetic "G. Stampacchia,” the overseas Workshop on Optimization and keep watch over with purposes. The e-book includes 28 papers which are grouped in line with 4 vast issues: duality and optimality stipulations, optimization algorithms, optimum regulate, and variational inequality and equilibrium difficulties. the explicit issues lined within the person chapters comprise optimum keep watch over, unconstrained and restricted optimization, complementarity and variational inequalities, equilibrium difficulties, semi-definite courses, semi-infinite courses, matrix features and equations, nonsmooth optimization, generalized convexity and generalized monotinicity, and their purposes.

Audience

This ebook is appropriate for researchers, practitioners, and postgraduate scholars in optimization, operations learn, and optimum keep an eye on.

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Download E-books Graph Theory in Memory of G.A. Dirac PDF

By Lars Dovling Andersen, Ivan Tafteberg Jakobsen, Carsten Thomassen, Bjarne Toft and Preben Dahl Vestergaard (Eds.)

This quantity is a tribute to the existence and mathematical paintings of G.A. Dirac (1925-1984). one of many major graph theorists, he built equipment of serious originality and made many primary discoveries. The forty-two papers are all interested in (or with regards to) Dirac's major traces of study. a couple of mathematicians pay tribute to his reminiscence by way of featuring new ends up in diverse parts of graph conception. one of the issues integrated are paths and cycles, hamiltonian graphs, vertex colouring and demanding graphs, graphs and surfaces, edge-colouring, and limitless graphs. many of the papers have been initially offered at a gathering held in Denmark in 1985. Attendance being by means of invitation simply, a few fifty five mathematicians from 14 international locations participated in numerous lectures and discussions on graph thought on the topic of the paintings of Dirac. This quantity comprises contributions from others in addition, so shouldn't be appeared in simple terms because the court cases of that assembly. A difficulties part is incorporated, in addition to a list of Dirac's personal courses.

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Download E-books The history of mathematics from antiquity to the present: A selected annotated bibliography PDF

By Joseph W. Dauben

Thirty-eight specialists from ten international locations have seriously annotated a variety of the literature inside of their respective specialties within the heritage of arithmetic. the result's a finished advisor designed as a kick off point for somebody wishing to profit extra approximately any region of the historical past of arithmetic. The 4,800 entries are prepared via topic, and every contains complete bibliographical info. Annotations and introductory notes supply evaluate and context to aid a person make a decision the place to move subsequent. As arithmetic has had an extended and wealthy heritage, the examine of that heritage is huge ranging. This advisor covers the background framed in all time classes and areas of the realm starting with the traditional Egyptian, Greek, chinese language, Islamic, Indian, African, and Mesopotamian civilizations. It specializes in the branches of arithmetic yet inevitably supplies large consciousness to the connection arithmetic has had with navigation, mapmaking, common sense, philosophy, computing, and the entire branches of physics. It additionally devotes particular sections to such issues as associations, societies, ladies in arithmetic, and the way arithmetic has been taught. The luck of the 1st variation in print confirmed the price of any such advisor. It coated the literature as much as 1982 and was once released in 1985. This revised and up to date version, nonetheless very selective, has two times as many entries because the first, reflecting the big development within the literature considering that that point. And the CD-ROM layout makes navigating and looking the bibliography more uncomplicated and swifter. The CD-ROM's content material is in PDF structure with bookmarks, allowing browsers to hyperlink from the desk of contents on to sections of curiosity. hyperlinks from the writer and topic index goods to person entries let clients to move on to particular goods of curiosity. AdobeAcrobatReader 4.0 with seek, supplied for Macintosh, home windows, and UNIX, allows clients to go looking textual content in the course of the CD utilizing PDF: the hunt time period is highlighted, and you may movement from hit to hit throughout documents. This version is exclusive in that it additionally deals an inventory of global vast internet assets, and dwell hyperlinks in the textual content to chose sites. total, this revised variation of The heritage of arithmetic from Antiquity to the current: A Selective Annotated Bibliography on CD-ROM now makes it more uncomplicated for either browsers and researchers to find and look for the prolonged variety of mentioned works which have been chosen and annotated for this bibliography. Adobe and Acrobat are emblems of Adobe platforms integrated. Macintosh is a registered trademark of Apple laptop, Inc. home windows is a registered trademark of Microsoft company. UNIX is a registered trademark of The Open team.

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Download E-books Introduction pratique aux logiques non classiques PDF

By Maurice Bernadet

Alors que les logiques classiques s'attachent à formaliser et valider des raisonnements rigoureux, précis, et reposant sur des connaissances certaines, les logiques non classiques s'affranchissent de ces contraintes, pour se rapprocher des véritables modes de raisonnement humain. En effet, l'intérêt pour ces logiques s'est particulièrement intensifié avec les développements de l'intelligence artificielle et des systèmes d'aide à l. a. décision. Nous présentons ici les principales logiques non classiques ; nous étudions successivement les logiques multivaluées, les logiques floues, puis les logiques modales et temporelles pour terminer avec l'étude des raisonnements non monotones et les méthodes d'évaluation de l'incertitude. Cet ouvrage se veut pratique et s'intéresse plus aux mécanismes et aux algorithmes de mise en oeuvre des logiques étudiées qu'à leurs fondements théoriques ; chaque chapitre est suivi d'exercices, dont les corrigés sont donnés en fin de livre.

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Download E-books The Cult of Pythagoras: Math and Myths PDF

By Alberto A. Martinez

In this follow-up to his well known Science secrets and techniques, Alberto A. Martínez discusses quite a few well known myths from the historical past of arithmetic: that Pythagoras proved the hypotenuse theorem, that Archimedes found out the right way to try out the purity of a gold crown whereas he used to be in a tub, that the Golden Ratio is in nature and historic structure, that the younger Galois created staff thought the evening prior to the pistol duel that killed him, and extra. a few tales are in part real, others are completely fake, yet all convey the ability of invention in heritage. Pythagoras emerges as an emblem of the urge to conjecture and “fill within the gaps” of historical past. He has been credited with basic discoveries in arithmetic and the sciences, but there's approximately no facts that he relatively contributed something to such fields in any respect. This ebook asks: how does heritage swap once we subtract the numerous small exaggerations and interpolations that writers have additional for over thousand years?

The Cult of Pythagoras can also be approximately invention in a favorable feel. most folks view mathematical breakthroughs as “discoveries” instead of invention or creativity, believing that arithmetic describes a realm of everlasting rules. yet mathematicians have disagreed approximately what's attainable and very unlikely, approximately what counts as an explanation, or even in regards to the result of definite operations. was once there ever invention within the heritage of suggestions resembling 0, unfavorable numbers, imaginary numbers, quaternions, infinity, and infinitesimals?

Martínez inspects a wealth of basic resources, in different languages, over a span of many centuries. through exploring disagreements and ambiguities within the heritage of the weather of arithmetic, The Cult of Pythagoras dispels myths that imprecise the particular origins of mathematical techniques. Martínez argues that a correct heritage that analyzes myths finds ignored elements of arithmetic that could motivate creativity in scholars and mathematicians.

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Download E-books Rational Approximation of Real Functions (Encyclopedia of Mathematics and its Applications) PDF

By P. P. Petrushev

Initially released in 1987, this e-book is dedicated to the approximation of genuine capabilities by way of actual rational services. those are, in lots of methods, a less difficult instrument than polynomials, and curiosity in them used to be growing to be, in particular on account that D. Newman's paintings within the mid-sixties. The authors goal at featuring the elemental achievements of the topic and, for completeness, additionally talk about a few subject matters from complicated rational approximation. sure classical and glossy effects from linear approximation conception and spline approximation also are incorporated for comparative reasons. This booklet could be of price to a person with an curiosity in approximation concept and numerical research.

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