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Showing 1 - 12 of 12 results for “mikhail kapranov”
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  • Higher Segal Spaces

    by Tobias Dyckerhoff, Mikhail Kapranov ...
    Series series Mathematics and Statistics (R0)
    This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions. The authors introduce the notion of a d-Segal space, which is a simplicial space satisfying locality conditions related to triangulations of d-dimensional cyclic polytopes. Focus here is on the 2-dimensional case. Many important constructions are shown to exhibit the ... Read more

    $64.09 CAD

  • Discriminants, Resultants, and Multidimensional Determinants

    by Israel M. Gelfand, Mikhail Kapranov, Andrei Zelevinsky ...
    Series series Mathematics and Statistics (R0)
    “This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory.”Mathematical Reviews“Collecting and extending the fundamental and ... Read more

    $153.69 CAD

  • Topology and K-Theory

    Lectures by Daniel Quillen

    by Robert Penner, Mikhail Kapranov ...
    Series series Mathematics and Statistics (R0)
    These are notes from a graduate student course on algebraic topology and K-theory given by Daniel Quillen at the Massachusetts Institute of Technology during 1979-1980. He had just received the Fields Medal for his work on these topics among others and was funny and playful with a confident humility from the start. These are not meant to be polished lecture notes, rather, things are presented as ... Read more

    $70.49 CAD

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  • Elliptic Tales

    Curves, Counting, and Number Theory

    by Avner Ash, Robert Gross ...
    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

    $18.69 CAD

  • Ideals, Varieties, and Algorithms

    An Introduction to Computational Algebraic Geometry and Commutative Algebra

    by David A. Cox, John Little, Donal O'Shea ...
    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

    $57.69 CAD

  • A Primer for Undergraduate Research

    From Groups and Tiles to Frames and Vaccines

    Edited by Aaron Wootton, Valerie Peterson, Christopher Lee ...
    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

    $76.89 CAD

  • Groups, Matrices, and Vector Spaces

    A Group Theoretic Approach to Linear Algebra

    by James B. Carrell ...
    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

    $64.09 CAD

  • Computational And Algorithmic Linear Algebra And N-dimensional Geometry

    by Katta Gopalakrishna Murty ...
    This undergraduate textbook on Linear Algebra and n-Dimensional Geometry, in a self-teaching style, is invaluable for sophomore level undergraduates in mathematics, engineering, business, and the sciences. These are classical subjects on which there are many mathematics books in theorem-proof style, but this unique volume has its focus on developing the mathematical modeling as well as ... Read more

    $59.39 CAD

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

    by Christopher Norman ...
    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

    $44.89 CAD

  • Boolean Representations of Simplicial Complexes and Matroids

    by John Rhodes, Pedro V. Silva ...
    Series series Mathematics and Statistics (R0)
    This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. Moreover, many geometric and topological features of the theory of ... Read more

    $102.49 CAD

  • Galois Theory, Coverings, and Riemann Surfaces

    by Askold Khovanskii ...
    Translated by Vladlen Timorin, Valentina Kiritchenko ...
    Series series Mathematics and Statistics (R0)
    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

    $64.09 CAD

  • Introduction to Singularities

    by Shihoko Ishii ...
    Series series Mathematics and Statistics (R0)
    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

    $64.09 CAD