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Mathematical Notes 電子書系列

12 條結果中的 1 - 12 條 結果 结果
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  • Hodge Theory

    由 Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, Lê Dũng Tráng ……
    系列 第 49 冊 - 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, …… 閱讀更多內容

    NT$2,728 TWD

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  • Basic Category Theory

    由 Tom Leinster ……
    系列 第 143 冊 - 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 …… 閱讀更多內容

    NT$2,107 TWD

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

    由 Claire Voisin ……
    系列 第 187 冊 - 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 …… 閱讀更多內容

    NT$2,396 TWD

  • Topological Galois Theory

    Solvability and Unsolvability of Equations in Finite Terms

    由 Askold Khovanskii ……
    譯者: Vladlen Timorin, Valentina Kiritchenko, Liudmyla Kadets ……
    系列 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 …… 閱讀更多內容

    NT$4,228 TWD

  • Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

    由 Stefan Witzel ……
    系列 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 …… 閱讀更多內容

    NT$1,233 TWD

  • Galois Theory, Coverings, and Riemann Surfaces

    由 Askold Khovanskii ……
    譯者: 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 …… 閱讀更多內容

    NT$1,762 TWD

  • Structure and Geometry of Lie Groups

    由 Joachim Hilgert, Karl-Hermann Neeb ……
    系列 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 …… 閱讀更多內容

    NT$3,170 TWD

  • Set Theory

    With an Introduction to Real Point Sets

    由 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 …… 閱讀更多內容

    NT$2,818 TWD

  • Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

    由 Friedrich Wehrung ……
    系列 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, …… 閱讀更多內容

    NT$1,762 TWD

  • Synthetic Differential Topology

    由 Marta Bunge, Felipe Gago, Ana María San Luis ……
    系列 第 448 冊 - 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 …… 閱讀更多內容

    NT$2,513 TWD

  • Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

    編輯者: Stephan Rosebrock, Wolfgang Metzler ……
    系列 第 446 冊 - 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 …… 閱讀更多內容

    NT$2,080 TWD

  • Differentiable Manifolds

    A Theoretical Physics Approach

    由 Gerardo F. Torres del Castillo ……
    系列 series Mathematics and Statistics (R0)
    This textbook explores the theory behind differentiable manifolds and investigates various physics applications along the way. Basic concepts, such as differentiable manifolds, differentiable mappings, tangent vectors, vector fields, and differential forms, are briefly introduced in the first three chapters. Chapter 4 gives a concise introduction to differential geometry needed in subsequent …… 閱讀更多內容

    NT$2,642 TWD