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Mathematical Notes eBook Series

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  • Hodge Theory

    by Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, Lê Dũng Tráng ...
    Series Book 49 - Mathematical Notes
    This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, ... Read more

    $82.79 USD

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  • Basic Category Theory

    by Tom Leinster ...
    Series Book 143 - Cambridge Studies in Advanced Mathematics
    At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in ... Read more

    $63.99 USD

  • Chow Rings, Decomposition of the Diagonal, and the Topology of Families

    by Claire Voisin ...
    Series Book 187 - Annals of Mathematics Studies
    In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch ... Read more

    $72.99 USD

  • Topological Galois Theory

    Solvability and Unsolvability of Equations in Finite Terms

    by Askold Khovanskii ...
    Translated by Vladlen Timorin, Valentina Kiritchenko, Liudmyla Kadets ...
    Series series Mathematics and Statistics (R0)
    This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard ... Read more

    $116.09 USD

  • Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

    by Stefan Witzel ...
    Series series Mathematics and Statistics (R0)
    Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S ... Read more

    $44.99 USD

  • Galois Theory, Coverings, and Riemann Surfaces

    by Askold Khovanskii ...
    Translated by Vladlen Timorin, Valentina Kiritchenko ...
    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

  • Structure and Geometry of Lie Groups

    by Joachim Hilgert, Karl-Hermann Neeb ...
    Series series Mathematics and Statistics (R0)
    This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie ... Read more

    $89.99 USD

  • Set Theory

    With an Introduction to Real Point Sets

    by Abhijit Dasgupta ...
    What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.To allow flexibility of topic selection in courses, the book is organized into four relatively ... Read more

    $80.99 USD

  • Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

    by Friedrich Wehrung ...
    Series series Mathematics and Statistics (R0)
    Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, ... Read more

    $49.49 USD

  • Synthetic Differential Topology

    by Marta Bunge, Felipe Gago, Ana María San Luis ...
    Series Book 448 - London Mathematical Society Lecture Note Series
    This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of ... Read more

    $76.29 USD

  • Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

    Edited by Stephan Rosebrock, Wolfgang Metzler ...
    Series Book 446 - London Mathematical Society Lecture Note Series
    This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as ... Read more

    $63.19 USD

  • Handbook of Algebra

    Edited by M. Hazewinkel ...
    Series Book 4 - Handbook of Algebra
    Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the ... Read more

    $242.99 USD