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  • Rational Points and Arithmetic of Fundamental Groups

    Evidence for the Section Conjecture

    par Jakob Stix ...
    Collections series Mathematics and Statistics (R0)
    The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the ... En savoir plus

    $76.89 CAD

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  • Elliptic Tales

    Curves, Counting, and Number Theory

    A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The ... En savoir plus

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  • Rational Points on Elliptic Curves

    Collections series Mathematics and Statistics (R0)
    The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate ... En savoir plus

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  • Complex Numbers from A to ... Z

    Collections series Mathematics and Statistics (R0)
    It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to … Z introduces the reader to this fascinating subject that from the time of L. Euler has become one of the most utilized ideas in mathematics.The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers ... En savoir plus

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  • Selected Unsolved Problems in Coding Theory

    Collections series Mathematics and Statistics (R0)
    This original monograph investigates several unsolved problems that currently exist in coding theory. A highly relevant branch of mathematical computer science, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its fairly long history and consistent prominence, the field still contains interesting problems that have resisted solution ... En savoir plus

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  • Advanced Topics in the Arithmetic of Elliptic Curves

    Collections series Mathematics and Statistics (R0)
    In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there ... En savoir plus

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  • Torsors, Étale Homotopy and Applications to Rational Points

    Modifié par Alexei N. Skorobogatov ...
    Collections Livre 405 - London Mathematical Society Lecture Note Series
    Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in ... En savoir plus

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  • Mathematical Olympiad Treasures

    Collections series Mathematics and Statistics (R0)
    This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for solving real-world problems, with new sections, revisions, and many more Olympiad-like problems at various levels of difficulty.The problems are ... En savoir plus

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  • Néron Models and Base Change

    Collections series Mathematics and Statistics (R0)
    Presenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related to Néron models of semi-abelian varieties, motivated by concrete research problems and complemented with explicit examples.Néron models of abelian and semi-abelian varieties have become an indispensable ... En savoir plus

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  • A Primer for Undergraduate Research

    From Groups and Tiles to Frames and Vaccines

    Collections series Mathematics and Statistics (R0)
    This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading.The content ... En savoir plus

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  • Rigid Cohomology over Laurent Series Fields

    Collections series Mathematics and Statistics (R0)
    In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality and cohomological descent, as well as interpretations in terms of Monsky-Washnitzer cohomology and Le Stum ... En savoir plus

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  • Linear Algebra

    par Reg Allenby ...
    Collections series Modular Mathematics Series
    As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics. Dr Allenby has used his experience of teaching linear algebra to write a lively book on the subject that includes historical information about the founders of the subject as well as giving a basic introduction to the mathematics undergraduate. The whole text has ... En savoir plus

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