Books in category Mathematics – Topology

  • Computers Rigidity and Moduli

    Computers, Rigidity, and Moduli
    Shmuel Weinberger

    This book is the first to present a new area of mathematical research that combines topology, geometry, and logic.

  • Differential Topology and General Equilibrium with Complete and Incomplete Markets

    Differential Topology and General Equilibrium with Complete and Incomplete Markets
    Antonio Villanacci, Laura Carosi, Pierluigi Benevieri, Andrea Battinelli

    General equilibrium In this book we try to cope with the challenging task of reviewing the so called general equilibrium model and of discussing one specific aspect of the approach underlying it, namely, market completeness.

  • Groups of Circle Diffeomorphisms

    Groups of Circle Diffeomorphisms
    Andrés Navas

    As the group of circle diffeomorphisms is an important subject in modern mathematics, this book will be of interest to those doing research in group theory, dynamical systems, low dimensional geometry and topology, and foliation theory.

  • Categorical Homotopy Theory

    Categorical Homotopy Theory
    Emily Riehl

    This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples.

  • Vector Analysis

    Vector Analysis
    Klaus Jänich

    This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory.

  • Symbolic Dynamics

    Symbolic Dynamics
    Bruce P. Kitchens

    Since that time symbolic dynamics has been used in ergodic theory, topological dynamics, hyperbolic dynamics, information theory and complex dynamics. Symbolic dynamical systems with a finite memory are stud ied in this book.

  • Banach Space Theory

    Banach Space Theory
    Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler

    This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory.

  • Geometry with an Introduction to Cosmic Topology

    Geometry with an Introduction to Cosmic Topology
    Michael P. Hitchman

    Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space.

  • Complex Algebraic Curves

    Complex Algebraic Curves
    Frances Clare Kirwan

    By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to …

  • On Knots

    On Knots
    Louis H. Kauffman

    Then come branched covering spaces, the Alexander polynomial, signature theorems, the work of Casson and Gordon on slice knots, and a chapter on knots and algebraic singularities.The book concludes with an appendix about generalized …

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