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  • Mersenne Numbers And Fermat Numbers

    par Elena Deza ...
    Collections Livre 1 - Selected Chapters Of Number Theory: Special Numbers
    This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography.In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17-th century) is a number of the form Mn = 2n - 1 for positive integer n.In ... En savoir plus

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  • Encyclopedia of Distances

    Collections series Mathematics and Statistics (R0)
    This updated and revised third edition of the leading reference volume on distance metrics includes new items from very active research areas in the use of distances and metrics such as geometry, graph theory, probability theory and analysis. Among the new topics included are, for example, polyhedral metric space, nearness matrix problems, distances between belief assignments, distance-related ... En savoir plus

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  • Generalizations Of Finite Metrics And Cuts

    This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of Cuts and Metrics by Deza and Laurent which presents rich theory of classical binary and symmetric objects — metrics and cuts.Many research publications on this subject are devoted to different special aspects of the theory ... En savoir plus

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  • Encyclopedia of Distances

    Collections series Mathematics and Statistics (R0)
    This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new edition also explores recent advances in the use of distances and metrics for e.g. generalized ... En savoir plus

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  • Eulerian Numbers

    par Elena Deza ...
    Collections Livre 5 - Selected Chapters of Number Theory: Special Numbers
    Within these pages readers will find the complete theory of a renowned class of special numbers, Eulerian numbers, as well as some generalisations and relatives (Eulerian numbers of the second order, factorial numbers, Euler numbers, etc.), their properties, their facts, and their theorems, alongside full proofs.The 'names' of many of the special numbers essential to so many aspects of number ... En savoir plus

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  • Catalan Numbers

    par Elena Deza ...
    Collections Livre 4 - Selected Chapters of Number Theory: Special Numbers
    Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814–1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical, and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and ... En savoir plus

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  • Perfect and Amicable Numbers

    par Elena Deza ...
    Collections Livre 2 - Selected Chapters of Number Theory: Special Numbers
    This book contains a detailed presentation on the theory of two classes of special numbers, perfect numbers, and amicable numbers, as well as some of their generalizations. It also gives a large list of their properties, facts and theorems with full proofs. Perfect and amicable numbers, as well as most classes of special numbers, have many interesting properties, including numerous modern and ... En savoir plus

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  • Stirling Numbers

    par Elena Deza ...
    Collections Livre 3 - Selected Chapters of Number Theory: Special Numbers
    Stirling numbers are one of the most known classes of special numbers in Mathematics, especially in Combinatorics and Algebra. They were introduced by Scottish mathematician James Stirling (1692–1770) in his most important work, Differential Method with a Tract on Summation and Interpolation of Infinite Series (1730). Stirling numbers have a rich history; many arithmetic, number-theoretical, ... En savoir plus

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    MULTIPLY your chances of understanding DISCRETE MATHEMATICSIf you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts.Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified ... En savoir plus

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  • Elementary Number Theory

    Collections series Mathematics and Statistics (R0)
    Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back ground or maturity from the reader, and which can be read and understood with no extra assistance. Our first three chapters are based almost entirely on A-level mathematics, while the next five require little else beyond some el ementary group theory. It ... En savoir plus

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  • Combinatorics

    Topics, Techniques, Algorithms

    Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic ... En savoir plus

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  • Algebraic Combinatorics

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    Collections series Chapman Hall/CRC Mathematics Series
    This graduate level text is distinguished both by the range of topics and the novelty of the material it treats--more than half of the material in it has previously only appeared in research papers. The first half of this book introduces the characteristic and matchings polynomials of a graph. It is instructive to consider these polynomials together because they have a number of properties in ... En savoir plus

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