Tag: Knot

Combinatorial Knot Theory


Free Download Combinatorial Knot Theory
English | 2025 | ISBN: 9811292728 | 208 Pages | PDF (True) | 5.4 MB
A classic knot is an embedded simple loop in 3-dimensional space. It can be described as a 4-valent planar graph or network in the horizontal plane, with the vertices or crossings corresponding to double points of a projection. At this stage we have the shadow of the knot defined by the projection. We can reconstruct the knot by lifting the crossings into two points in space, one above the other. This information is preserved at the vertices by cutting the arc which appears to go under the over crossing arc. We can then act on this diagram of the knot using the famous Reidemeister moves to mimic the motion of the knot in space. The result is classic combinatorial knot theory. In recent years, many different types of knot theories have been considered where the information stored at the crossings determines how the Reidemeister moves are used, if at all.In this book, we look at all these new theories systematically in a way which any third-year undergraduate mathematics student would understand. This book can form the basis of an undergraduate course or as an entry point for a postgraduate studying topology.

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The Mother Knot


Free Download The Mother Knot By Jane Lazarre
1997 | 176 Pages | ISBN: 0822320398 | PDF | 10 MB
In this compelling memoir by a writer, mother, and feminist, Jane Lazarre confronts the myth of the "good mother" with her fiercely honest and intimate portrait of early motherhood as a time of profound ambivalence and upheaval, filled with desperation as well as joy, the struggle to reclaim a sense of self, and sheer physical exhaustion. Originally published in 1976, The Mother Knot is a feminist classic, as relevant today as it was twenty years ago.

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Des Pawson’s Knot Craft and Rope Mats 60 Ropework Projects Including 20 Mat Designs


Free Download Des Pawson’s Knot Craft and Rope Mats: 60 Ropework Projects Including 20 Mat Designs by Des Pawson
English | September 13, 2016 | ISBN: 9781472922786 | 176 pages | MOBI | 22 Mb
This wonderful collection of Des Pawson’s personal ropecraft recipes combines an extended and now full-color collection of projects from Des’s popular Des Pawson’s Knot Craft, together with 20 new and brilliant mat designs.

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Untying the Gordian Knot Process, Reality, and Context


Free Download Timothy E. Eastman, "Untying the Gordian Knot: Process, Reality, and Context "
English | ISBN: 1793639167 | 2020 | 354 pages | EPUB, PDF | 2 MB + 4 MB
In Untying the Gordian Knot: Process, Reality, and Context, Timothy E. Eastman proposes a new creative synthesis, the Logoi framework-which is radically inclusive and incorporates both actuality and potentiality-to show how the fundamental notions of process, logic, and relations, woven with triads of input-output-context and quantum logical distinctions, can resolve a baker’s dozen of age-old philosophic problems. Further, Eastman leverages a century of advances in quantum physics and the Relational Realism interpretation pioneered by Michael Epperson and Elias Zafiris and augmented by the independent research of Ruth Kastner and Hans Primas to resolve long-standing issues in understanding quantum physics. Adding to this, Eastman makes use of advances in information and complex systems, semiotics, and process philosophy to show how multiple levels of context, combined with relations-including potential relations-both local and local-global, can provide a grounding for causation, emergence, and physical law. Finally, the Logoi framework goes beyond standard ways of knowing-that of context independence (science) and context focus (arts, humanities)-to demonstrate the inevitable role of ultimate context (meaning, spiritual dimension) as part of a transformative ecological vision, which is urgently needed in these times of human and environmental crises.

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