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  • Algebraic Theory of Locally Nilpotent Derivations

    Series series Mathematics and Statistics (R0)
    This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations.The author provides a unified treatment of the subject, beginning with 16 First Principles on which the theory is based. ... Read more

    $143.09 USD

  • Polynomial Rings and Affine Algebraic Geometry

    PRAAG 2018, Tokyo, Japan, February 12−16

    Series series Springer Nature Proceedings excluding Computer Science
    This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018. Readers will find some of the latest research conducted by an international group of experts on affine and projective algebraic geometry. The topics covered include group actions and ... Read more

    $170.09 USD

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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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  • Galois' Theory Of Algebraic Equations (Second Edition)

    The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the ... Read more

    $27.89 USD

  • Galois Theory, Coverings, and Riemann Surfaces

    The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric ... Read more

    $49.49 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

    $58.49 USD

  • Analytic Aspects of Convexity

    Series series Mathematics and Statistics (R0)
    This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will ... Read more

    $80.99 USD

  • Representation Theory

    A Homological Algebra Point of View

    Series series Mathematics and Statistics (R0)
    Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are ... Read more

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  • Groups, Matrices, and Vector Spaces

    A Group Theoretic Approach to Linear Algebra

    Series series Mathematics and Statistics (R0)
    This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book ... Read more

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  • Finitely Generated Abelian Groups and Similarity of Matrices over a Field

    Series series Mathematics and Statistics (R0)
    At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part 1 of this book provides a measured introduction ... Read more

    $31.49 USD

  • Introduction to Singularities

    by Shihoko Ishii ...
    This book is an introduction to singularities for graduate students and researchers.It is said that algebraic geometry originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic ... Read more

    $62.99 USD

  • Multiplicative Ideal Theory and Factorization Theory

    Commutative and Non-commutative Perspectives

    Series series Springer Nature Proceedings excluding Computer Science
    This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non ... Read more

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