Author: Dennis Roseman
Publisher: World Scientific Publishing Company
Published: 2024
Total Pages: 0
ISBN-13: 9789813237391
DOWNLOAD EBOOKFocused on concrete examples and constructions and using extensive computer generated three-dimensional graphics, this book serves as a guide to methods and examples of higher dimensional knotting. The book has modest mathematical requirements, has been written with non-specialists in mind and contains considerable background information.Knotting whether fanciful or practical has been of interest to many -- from sculptors to sailors and in more modern times of interest to mathematicians, biologists and physicists as well. Spaces of dimensions greater than three are also of widespread interest in the arts, sciences and engineering as well as mathematics. Knotting and linking of circles can aid us to understand three dimensionality. So, it is natural to consider knotting in order to understand higher dimensions.Knotting in 4-dimensional space involves surfaces -- spheres, tori, Klein bottles and others while in five dimensions one looks primarily at similar tangling and self-tangling of three dimensional objects.Visualization is an important part of this journey and techniques for higher dimensions, especially in 4-dimensional space, are discussed in detail.
Book Synopsis High Dimensional Knotting by : Dennis Roseman
Download or read book High Dimensional Knotting written by Dennis Roseman and published by World Scientific Publishing Company. This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focused on concrete examples and constructions and using extensive computer generated three-dimensional graphics, this book serves as a guide to methods and examples of higher dimensional knotting. The book has modest mathematical requirements, has been written with non-specialists in mind and contains considerable background information.Knotting whether fanciful or practical has been of interest to many -- from sculptors to sailors and in more modern times of interest to mathematicians, biologists and physicists as well. Spaces of dimensions greater than three are also of widespread interest in the arts, sciences and engineering as well as mathematics. Knotting and linking of circles can aid us to understand three dimensionality. So, it is natural to consider knotting in order to understand higher dimensions.Knotting in 4-dimensional space involves surfaces -- spheres, tori, Klein bottles and others while in five dimensions one looks primarily at similar tangling and self-tangling of three dimensional objects.Visualization is an important part of this journey and techniques for higher dimensions, especially in 4-dimensional space, are discussed in detail.