Bøger i Series on Knots & Everything serien

A comprehensive reference in design science, bringing together material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations.

Consists of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. This book contains lectures on the many aspects of applications of knot theory. It gives an in-depth survey of the advances of knot theory and its applications.

Gives a description of one of the most beautiful and complicated examples in low-dimensional topology. This text describes the essential topological ideas through metaphors that are experienced in everyday life: shadows, the human form, the intersections between walls, and the creases in a shirt or a pair of trousers.

Provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. This title is intended to be a graduate text as well as a research monograph.

Features classical papers on algebraic and differential topology published in the 1950s - 1960s. This title documents methods and constructions from these works.

Based on Einstein's static universe model, this work presents technically viable alternative interpretations to all pillars of Big Bang cosmology in the context of a new 'continuous-state' cosmological paradigm able to elucidate many contemporary problems plaguing the standard model of particle physics.

Presents a summary of the results of a research project on discreteness in modern physics. This book argues that in contrast with the expectation that discreteness is the result of mathematical tools for insertion into a continuous theory, this basic treatment builds up the world from the discrimination of discrete entities.

- Introduces the concept of bipolar feedback, a mathematical and natural process that generates bios, a pattern beyond chaos- Demonstrates biotic patterns in cosmological, physiological, meteorological, and economic processes- Introduces new methods for time series analysis, and includes programs for them- Proposes a research program based on the concept of creative development as an alternative to deterministic and random models- Advances a new theory of biological evolution