• Title: New Directions in Geometric and Applied Knot Theory
• Author(s) Simon Blatt, Philipp Reiter and Armin Schikorra
• Publisher: De Gruyter Open; 1st edition (December 31, 2018); eBook (Creative Commons Licensed)
• License(s): CC BY 4.0
• Paperback: 200 pages
• eBook: PDF and ePub
• Language: English
• ASIN/ISBN-10: 311057148X
• ISBN-13: 978-3110571486
• Share This:  

Book Description

The aim of this book is to present recent results in both theoretical and applied Knot Theory - which are at the same time stimulating for leading researchers in the field as well as accessible to non-experts. The book comprises recent research results while covering a wide range of different sub-disciplines, such as the young field of geometric knot theory, combinatorial knot theory, as well as applications in microbiology and theoretical physics.

• P. Reiter, U. of Duisburg-Essen, Germany S. Blatt, U. of Salzburg, Austria A. Schikorra, Albert Ludwig U. of Freiburg, Germany.

• Amazon

• Geometry and Topology
• Physics, Computational Physics, and Mathematical Physics
• Differential Equations and Dynamical Systems

• New Directions in Geometric and Applied Knot Theory (Simon Blatt, et al)
• The Mirror Site (1) - PDF

• Sheaf Theory through Examples (Daniel Rosiak)

  Taking an applied category theory perspective, this book provides an approachable introduction to elementary sheaf theory and examines applications. It seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications,

• Geometry with an Introduction to Cosmic Topology

  The text uses Mobius transformations in the extended complex plane to define and investigate these three candidate geometries, thereby providing a natural setting in which to express results common to them all, as well as results that encapsulate key differences.

• Differential Geometry: A Geometric Introduction

  This is the only book that introduces differential geometry through a combination of an intuitive geometric foundation, a rigorous connection with the standard formalisms, computer exercises with Maple, and a problems-based approach.

• Computational Linear Algebra and N-dimensional Geometry

  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.

• Advances in Discrete Differential Geometry (Alexander I. Bobenko)

  It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics and is illustrated to convince readers it's both beautiful and useful.

• Topology without Tears (Sidney A. Morris)

  General topology is the branch of topology dealing with the basic set-theoretic definitions and constructions used in topology. The aim of this is to provide a thorough grouding of general topology. It offers an ideal introduction to the fundamentals of topology.

• Topological Groups: Yesterday, Today, Tomorrow (Sidney A. Morris)

  In 1900, David Hilbert asked whether each locally euclidean topological group admits a Lie group structure. This was the fifth of his famous 23 questions which foreshadowed much of the mathematical creativity of the twentieth century.

• Topology: A Categorical Approach (Tai-Danae Bradley, et al)

  A graduate-level textbook that presents basic topology from the perspective of category theory. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them.

• Introduction to Topology (Bert Mendelson, et al.)

  This concise book offers an ideal introduction to the fundamentals of topology. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.

• Manifolds - Current Research Areas (Paul Bracken)

  This book cover a number of subjects which will be of interest to workers in these areas. It is hoped that the papers here will be able to provide a useful resource for researchers with regard to current fields of research in this important area.

• Quasi-projective Moduli for Polarized Manifolds (Eckart Viehweg)

  This book discusses two subjects of quite different nature: Construction methods for quotients of quasi-projective schemes by group actions or by equivalence relations and properties of direct images of certain sheaves under smooth morphisms.

• Foliations and the Geometry of 3-Manifolds (Danny Calegari)

  This book is to expose the "pseudo-Anosov" theory of foliations of 3-manifolds, which generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.