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  • A Royal Road to Algebraic Geometry

    by Audun Holme ...
    Series series Mathematics and Statistics (R0)
    This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!”The book starts by explaining this enigmatic answer, the aim of the book ... Read more

    $71.99 USD

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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 ... Read more

    $13.99 USD

  • Ideals, Varieties, and Algorithms

    An Introduction to Computational Algebraic Geometry and Commutative Algebra

    Series series Mathematics and Statistics (R0)
    This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, ... Read more

    $44.99 USD

  • 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

    $134.99 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

    $49.99 USD

  • Mathematical Concepts

    by Jürgen Jost ...
    Series series Mathematics and Statistics (R0)
    The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical ... Read more

    $80.99 USD

  • A First Course in Computational Algebraic Geometry

    Series series AIMS Library of Mathematical Sciences
    A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the ... Read more

    $18.99 USD

  • Future Vision and Trends on Shapes, Geometry and Algebra

    Series series Springer Nature Proceedings excluding Computer Science
    Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework.Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques – properly ... Read more

    $89.99 USD

  • Commutative Algebra

    Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions

    This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet ... Read more

    $89.99 USD

  • On the Geometry of Some Special Projective Varieties

    Series series Mathematics and Statistics (R0)
    Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal ... Read more

    $80.99 USD

  • Aperiodic Order: Volume 1, A Mathematical Invitation

    Series Book 149 - Encyclopedia of Mathematics and its Applications
    Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to ... Read more

    $107.99 USD

  • Cox Rings

    Series Book 144 - Cambridge Studies in Advanced Mathematics
    Cox rings are significant global invariants of algebraic varieties, naturally generalizing homogeneous coordinate rings of projective spaces. This book provides a largely self-contained introduction to Cox rings, with a particular focus on concrete aspects of the theory. Besides the rigorous presentation of the basic concepts, other central topics include the case of finitely generated Cox rings ... Read more

    $58.99 USD