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  • Auxiliary Polynomials in Number Theory

    by David Masser ...
    Series Book 207 - Cambridge Tracts in Mathematics
    This unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its invention, the author places the method in a broader context by exploring its application in other areas, such as ... Read more

    $146.79 USD

  • Some Problems of Unlikely Intersections in Arithmetic and Geometry

    Series Book 181 - Annals of Mathematics Studies
    This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto ... Read more

    $82.79 USD

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    Series 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 ... Read more

    $62.99 USD

  • A Primer for Undergraduate Research

    From Groups and Tiles to Frames and Vaccines

    Series 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 ... Read more

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  • Developments and Retrospectives in Lie Theory

    Geometric and Analytic Methods

    Series series Mathematics and Statistics (R0)
    The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were ... Read more

    $49.99 USD

  • 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 ... Read more

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  • Lie Theory and Its Applications in Physics

    Varna, Bulgaria, June 2015

    Edited by Vladimir Dobrev ...
    Series series Springer Nature Proceedings excluding Computer Science
    This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems.Recently, the trend has been towards geometrization of the mathematical description of physical ... Read more

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  • Rational Points on Elliptic Curves

    Series 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 ... Read more

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  • Selected Unsolved Problems in Coding Theory

    Series 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 ... Read more

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  • Concepts in Middle School Mathematics

    This book covers concepts in Arithmetic, Elementary Algebra, Euclidean Geometry and Plane Trigonometry. The book is organized into four major sections, each dealing with the concepts in a specific topic. The student may use this as a ready reckoner aid in test preparation or with home assignments. The concepts are uncovered gradually in some sense like LEGO blocks one piece at the time. We have ... Read more

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  • Torsors, Étale Homotopy and Applications to Rational Points

    Edited by Alexei N. Skorobogatov ...
    Series Book 405 - London Mathematical Society Lecture Note Series
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  • Advanced Topics in the Arithmetic of Elliptic Curves

    Series 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 ... Read more

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