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  • Computational Aspects of Modular Forms and Galois Representations

    How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime

    Series Book 176 - Annals of Mathematics Studies
    Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, except in some special ... Read more

    $74.99 USD

  • Mission Dream Job

    Life after a gap year!

    Rowan decides after her gap year not to continue with her studies but to embark on the search for her dream job. While prior to her gap year she was the textbook definition of a perfectionist, she now wants to live her life more on the relaxed side. She even makes a point out of enjoying her quest. However that proves a lot easier said than done. This time she is not travelling all on her own, but ... Read more

    $12.99 USD or Free with Kobo Plus

  • The bus to Ronda

    an adventurous gap year

    Translated by Robin Jong ...
    Rowan, a 'perfectionist' and graphic designer graduate, has doubts about her future. Should she continue studying, go work or take a gap year? All her friends already know what they are going to do but she really has no idea yet! When she gets a tip from someone one day at the beach, she decides to take it as a sign. Without thinking too much, she leaves for Spain to work there for a while. Not ... Read more

    $12.99 USD or Free with Kobo Plus

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    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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  • 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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  • Complex Numbers from A to ... Z

    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

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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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  • Mathematical Olympiad Treasures

    Series 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 ... Read more

    $80.99 USD

  • Néron Models and Base Change

    Series 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 ... Read more

    $40.99 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

    $58.99 USD

  • Rational Points and Arithmetic of Fundamental Groups

    Evidence for the Section Conjecture

    by Jakob Stix ...
    Series 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 ... Read more

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  • Periods and Nori Motives

    Series series Mathematics and Statistics (R0)
    This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich ... Read more

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