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  • Introduction to Geometry and Topology

    Translated by Walker Stern ...
    Series series Mathematics and Statistics (R0)
    This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the ... Read more

    $49.49 USD

  • Arbeitstagung Bonn 2013

    In Memory of Friedrich Hirzebruch

    Series series Mathematics and Statistics (R0)
    This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that ... Read more

    $107.99 USD

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    Riemannian, Contact, Symplectic

    Series series Mathematics and Statistics (R0)
    Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent ... Read more

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  • Topics in Physical Mathematics

    Series series Mathematics and Statistics (R0)
    As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two ... Read more

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  • Topological Galois Theory

    Solvability and Unsolvability of Equations in Finite Terms

    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

  • 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

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  • Geometric Control Theory and Sub-Riemannian Geometry

    Series series Mathematics and Statistics (R0)
    Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be ... Read more

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  • Manifolds, Sheaves, and Cohomology

    Series series Mathematics and Statistics (R0)
    This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions.Cohomology theory of sheaves is introduced and its usage is illustrated by ... Read more

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  • Special Metrics and Group Actions in Geometry

    Series series Mathematics and Statistics (R0)
    The volume is a follow-up to the INdAM meeting “Special metrics and quaternionic geometry” held in Rome in November 2015. It offers a panoramic view of a selection of cutting-edge topics in differential geometry, including 4-manifolds, quaternionic and octonionic geometry, twistor spaces, harmonic maps, spinors, complex and conformal geometry, homogeneous spaces and nilmanifolds, special ... Read more

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  • Iwasawa Theory 2012

    State of the Art and Recent Advances

    Series series Springer Nature Proceedings excluding Computer Science
    This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians was provided as an introduction to Iwasawa ... Read more

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  • Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane

    by Audrey Terras ...
    This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, ... Read more

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  • Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

    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

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