Book Series: Series on Knots and Everything

ISSN (print): 0219-9769

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The Series on Knots and Everything centers on knot theory and its connections to diverse fields, including topology, geometry, physics, logic, and computation. Focusing on both foundational ideas and emerging directions, the series brings together research on low- and high-dimensional knotting, algebraic and combinatorial structures, and broader applications in science and mathematics. Many volumes explore intersections with category theory, cybernetics, and even artistic and philosophical perspectives. This series offers a deeper understanding of the intricate mathematical structures that connect abstract theory with real-world phenomena.

Forthcoming-High Dimensional Knotting: An Illustrated Guide
- By (author):
- Dennis Roseman (University of Iowa, USA)
Volume 78-Four-Dimensional Paper Constructions After Möbius, Klein and Boy
- By (author):
- Eiji Ogasa (Meiji Gakuin University, Japan)
Volume 77-Quipu: Decorated Permutation Representations of Finite Groups
- By (author):
- Yongju Bae (Kyungpook National University, South Korea),
- J Scott Carter (University of South Alabama, USA), and
- Byeorhi Kim (Pohang University of Science and Technology, South Korea)
Volume 76-Combinatorial Knot Theory
- By (author):
- Roger A Fenn (University of Sussex, UK)
Volume 75-Scientific Legacy of Professor Zbigniew Oziewicz: Selected Papers from the International Conference “Applied Category Theory Graph-Operad-Logic”
- Edited by:
- Hilda María Colín García (National Autonomous University of Mexico, Mexico),
- José de Jesús Cruz Guzmán (National Autonomous University of Mexico, Mexico),
- Louis H Kauffman (University of Illinois at Chicago, USA), and
- Hanna Makaruk (Los Alamos National Laboratory, USA)
Volume 74-Seeing Four-Dimensional Space and Beyond: Using Knots!
- By (author):
- Eiji Ogasa (Meiji Gakuin University, Japan)
Volume 73-One-Cocycles and Knot Invariants
- By (author):
- Thomas Fiedler (Université Paul Sabatier, France)
Volume 72-Laws of Form: A Fiftieth Anniversary
- Edited by:
- Louis H Kauffman (University of Illinois Chicago, USA),
- Fred Cummins (University College Dublin, Ireland),
- Randolph Dible (The New School for Social Research, USA),
- Leon Conrad (Independent Scholar, UK),
- Graham Ellsbury (Independent Scholar, UK),
- Andrew Crompton (University of Liverpool, UK), and
- Florian Grote (CODE University of Applied Sciences, Germany)
Volume 71-The Geometry of the Universe
- By (author):
- Colin Rourke (University of Warwick, UK)
Volume 70-Geometric Foundations of Design: Old and New
- By (author):
- Jay Kappraff (New Jersey Institute of Technology, USA)
Volume 69-Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science: Volume 3: The “Golden” Paradigm of Modern Science: Prerequisite for the “Golden” Revolution in Mathematics, Computer Science, and Theoretical Natural Sciences
- By (author):
- Alexey Stakhov (International Club of the Golden Section, Canada & Academy of Trinitarism, Russia)
Volume 68-Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science: Volume 2: Algorithmic Measurement Theory, Fibonacci and Golden Arithmetic's and Ternary Mirror-Symmetrical Arithmetic
- By (author):
- Alexey Stakhov (International Club of the Golden Section, Canada & Academy of Trinitarism, Russia)
Volume 67-On Complementarity: A Universal Organizing Principle
- By (author):
- Jack Avrin
Volume 66-Invariants and Pictures: Low-dimensional Topology and Combinatorial Group Theory
- By (author):
- Vassily Olegovich Manturov (Bauman Moscow State Technical University, Russia),
- Denis Fedoseev (Moscow State University, Russia),
- Seongjeong Kim (Bauman Moscow State Technical University, Russia & Moscow Institute of Physics and Technology, Russia), and
- Igor Nikonov (Moscow State University, Russia)
Volume 65-Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science: Volume 1: The Golden Section, Fibonacci Numbers, Pascal Triangle, and Platonic Solids
- By (author):
- Alexey Stakhov (International Club of the Golden Section, Canada & Academy of Trinitarism, Russia)
Volume 64-Polynomial One-cocycles for Knots and Closed Braids
- By (author):
- Thomas Fiedler (Université Paul Sabatier, France)
Volume 63-Board Games: Throughout the History and Multidimensional Spaces
- By (author):
- Jorma Kyppö (University of Jyväskylä, Finland)
Volume 62-The Mereon Matrix: Everything Connected through (K)nothing
- Edited by:
- Jytte Brender McNair (Aalborg University, Denmark),
- Lynnclaire Dennis (The Mereon Legacy CIC, UK), and
- Louis H Kauffman (University of Illinois at Chicago, USA)
Volume 61-Numeral Systems with Irrational Bases for Mission-Critical Applications
- By (author):
- Alexey Stakhov (International Club of the Golden Section, Canada)
Volume 60-New Horizons for Second-Order Cybernetics
- Edited by:
- Alexander Riegler (Vrije Universiteit Brussel, Belgium),
- Karl H Müller (International Academy for Systems and Cybernetic Sciences, Austria), and
- Stuart A Umpleby (George Washington University, USA)
Volume 59-Geometry, Language and Strategy: The Dynamics of Decision Processes
Volume 2
- By (author):
- Gerald H Thomas (Milwaukee School of Engineering, USA)
Volume 58-Representing 3-Manifolds by Filling Dehn Surfaces
- By (author):
- Rubén Vigara (Centro Universitario de la Defensa - IUMA, Spain) and
- Álvaro Lozano-Rojo (Centro Universitario de la Defensa - IUMA, Spain)
Volume 57-ADEX Theory: How the ADE Coxeter Graphs Unify Mathematics and Physics
- By (author):
- Saul-Paul Sirag
Volume 56-New Ideas in Low Dimensional Topology
- Edited by:
- Louis H Kauffman (University of Illinois at Chicago, USA) and
- V O Manturov (Bauman Moscow State Technical University, Russia & Chelyabinsk State University, Russia)
Volume 55-Knots, Braids and Möbius Strips: Particle Physics and the Geometry of Elementarity: An Alternative View
- By (author):
- Jack Avrin
Volume 54-Scientific Essays in Honor of H Pierre Noyes on the Occasion of His 90th Birthday
- Edited by:
- John C Amson (University of St Andrews, UK) and
- Louis H Kauffman (University of Illinois at Chicago, USA)
Volume 53-Knots and Physics4^th edition
- By (author):
- Louis H Kauffman (University of Illinois, Chicago, USA)
Volume 52-Algebraic Invariants of Links2^nd edition
- By (author):
- Jonathan Hillman (The University of Sydney, Australia)
Volume 51-Virtual Knots: The State of the Art
- By (author):
- Vassily Olegovich Manturov (Peoples' Friendship University of Russia, Russia) and
- Denis Petrovich Ilyutko (Moscow State University, Russia & Yaroslavl State University, Russia)
Volume 50-Topological Library: Part 3: Spectral Sequences in Topology
- Edited by:
- S P Novikov (Landau Institute for Theoretical Physics, Russia & University of Maryland, USA) and
- I A Taimanov (Sobolev Institute of Mathematics, Russia)
- Translated by:
- V P Golubyatnikov (Sobolev Institute of Mathematics, Russia)
Volume 49-Hopf Algebras
- By (author):
- David E Radford (University of Illinois at Chicago, USA)
Volume 48-An Excursion in Diagrammatic Algebra: Turning a Sphere from Red to Blue
- By (author):
- J Scott Carter (University of South Alabama, USA)
Volume 47-Introduction to the Anisotropic Geometrodynamics
- By (author):
- Sergey Siparov (State University of Civil Aviation, Russia)
Volume 46-Introductory Lectures on Knot Theory: Selected Lectures Presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology
- Edited by:
- Louis H Kauffman (University of Illinois at Chicago, USA),
- Sofia Lambropoulou (National Technical University of Athens, Greece),
- Slavik Jablan (The Mathematical Institute, Serbia), and
- Jozef H Przytycki (George Washington University, USA)
Volume 45-Orbiting the Moons of Pluto: Complex Solutions to the Einstein, Maxwell, Schrödinger and Dirac Equations
- By (author):
- Elizabeth A Rauscher (Tecnic Research Laboratory, USA) and
- Richard L Amoroso (Noetic Advanced Studies Institute, USA)
Volume 44-Topological Library: Part 2: Characteristic Classes and Smooth Structures on Manifolds
- Edited by:
- S P Novikov (Landau Institute for Theoretical Physics, Russia & University of Maryland, USA) and
- I A Taimanov (Sobolev Institute of Mathematics, Russia)
- Translated by:
- V O Manturov (Sobolev Institute of Mathematics, Russia)
Volume 43-The Holographic Anthropic Multiverse: Formalizing the Complex Geometry of Reality
- By (author):
- Richard L Amoroso (Noetic Advanced Studies Institute, USA) and
- Elizabeth A Rauscher (Tecnic Research Laboratories, USA)
Volume 42-The Origin of Discrete Particles
- By (author):
- T Bastin and
- C W Kilmister
Volume 41-Zero to Infinity: The Foundations of Physics
- By (author):
- Peter Rowlands (University of Liverpool, UK)
Volume 40-Intelligence of Low Dimensional Topology 2006
- Edited by:
- J Scott Carter (University of South Alabama, USA),
- Seiichi Kamada (Hiroshima University, Japan),
- Louis H Kauffman (University of Illinois at Chicago, USA),
- Akio Kawauchi (Osaka City University, Japan), and
- Toshitake Kohno (University of Tokyo, Japan)
Volume 39-Topological Library: Part 1: Cobordisms and Their Applications
- Edited by:
- S P Novikov (Landau Institute for Theoretical Physics, Russia) and
- I A Taimanov (University of Maryland, USA)
- Translated by:
- V O Manturov
Volume 38-Current Developments in Mathematical Biology
- Edited by:
- Kazem Mahdavi (The University of Texas at Tyler, USA),
- Rebecca Culshaw (The University of Texas at Tyler, USA), and
- John Boucher (The University of Texas at Tyler, USA)
Volume 37-Geometry, Language and Strategy
- By (author):
- Gerald H Thomas (Milwaukee School of Engineering, USA)
Volume 36-Physical and Numerical Models in Knot Theory: Including Applications to the Life Sciences
- Edited by:
- Jorge A Calvo (Ave Maria University, USA),
- Kenneth C Millett (University of California, Santa Barbara, USA),
- Eric J Rawdon (Duquesne University, USA), and
- Andrzej Stasiak (Université de Lausanne, Switzerland)
Volume 35-Bios: A Study of Creation (With CD-ROM)
- By (author):
- Hector Sabelli (Chicago Center for Creative Development, USA)
Volume 34-Woods Hole Mathematics: Perspectives in Mathematics and Physics
- Edited by:
- Nils Tongring (Woods Hole Oceanographic Institution, USA) and
- R C Penner (University of Southern California, USA)
Volume 33-Energy of Knots and Conformal Geometry
- By (author):
- Jun O'Hara (Tokyo Metropolitan University, Japan)
Volume 32-Algebraic Invariants of Links
- By (author):
- Jonathan Hillman (The University of Sydney, Australia)
Volume 31-Mindsteps to the Cosmos
- By (author):
- Gerald S Hawkins (Former Chairman, Astronomy Department, Boston University, USA)
Volume 30-Symmetry, Ornament and Modularity
- By (author):
- Slavik Vlado Jablan (The Mathematical Institute, Yugoslavia)
Volume 29-Quantum Invariants: A Study of Knots, 3-Manifolds, and Their Sets
- By (author):
- Tomotada Ohtsuki (Tokyo Institute of Technology, Japan)
Volume 28-Beyond Measure: A Guided Tour Through Nature, Myth, and Number
- By (author):
- Jay Kappraff (New Jersey Institute of Technology, USA)
Volume 27-Bit-String Physics: A Finite and Discrete Approach to Natural Philosophy
- By (author):
- H Pierre Noyes (Stanford University, USA)
- Edited by:
- J C van den Berg (Wageningen University, The Netherlands)
Volume 26-Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations, and Topological Invariants
- By (author):
- David N Yetter (Kansas State University)
Volume 25-Connections: The Geometric Bridge between Art and Science2^nd edition
- By (author):
- Jay Kappraff (New Jersey Institute of Technology, USA)
Volume 24-Knots in Hellas '98
- Edited by:
- C McA Gordon (University of Texas, USA),
- V F R Jones (University of California, Berkeley, USA),
- L Kauffman (University of Illinois, Chicago, USA),
- S Lambropoulou (University of Göttingen, Germany), and
- J H Przytycki (George Washington University, USA)
Volume 23-Diamond: A Paradox Logic2^nd edition
- By (author):
- N S Hellerstein (City College of San Francisco, USA)
Volume 22-The Mathematics of Harmony: From Euclid to Contemporary Mathematics and Computer Science
- By (author):
- Alexey Stakhov
Volume 21-Linknot: Knot Theory by Computer
- By (author):
- Slavik Jablan (The Mathematical Institute, Belgrade, Serbia) and
- Radmila Sazdanović (The Mathematical Institute, Belgrade, Serbia)
Volume 20-The Mystery of Knots: Computer Programming for Knot Tabulation
- By (author):
- Charilaos N Aneziris (Brookhaven National Laboratory)
Volume 19-Ideal Knots
- By (author):
- A Stasiak (Universitè de Lausanne),
- V Katritch (Rutgers University), and
- L H Kauffman (University of Illinois, Chicago)
Volume 18-The Self-Evolving Cosmos: A Phenomenological Approach to Nature's Unity-in-Diversity
- By (author):
- Steven M Rosen (City University of New York, USA)
Volume 17-Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals
(with CD ROM)
- By (author):
- Yumei Dang (University of Illinois at Chicago, USA),
- Louis H Kauffman (University of Illinois at Chicago, USA), and
- Daniel Sandin (University of Illinois at Chicago, USA)
Volume 16-Delta: A Paradox Logic
- By (author):
- N S K Hellerstein (Lincoln University, USA)
Volume 15-Lectures at Knots '96
- By (author):
- S Suzuki (Waseda University, Japan)
Volume 14-Diamond: A Paradox Logic
- By (author):
- N S Hellerstein (Lincoln University)
Volume 13-Entropic Spacetime Theory
- By (author):
- J Armel (The Foundation for Phys. Sci., USA)
Volume 12-Relativistic Reality: A Modern View
- Edited by:
- James D Edmonds, Jr (McNeese State University, USA)
Volume 11-History and Science of Knots
- Edited by:
- J C Turner (University of Waikato, New Zealand) and
- P van de Griend (Aarhus University, Denmark)
Volume 10-Nonstandard Logics and Nonstandard Metrics in Physics
- By (author):
- W M Honig (Curtin University, Australia)
Volume 9-Combinatorial Physics
- By (author):
- T Bastin and
- C W Kilmister
Volume 8-Symmetric Bends: How to Join Two Lengths of Cord
- By (author):
- Roger E Miles (Australian Nat'l Univ.)
Volume 7-Random Knotting and Linking
- Edited by:
- K C Millett (UC Santa Barbara) and
- D W Sumners (Florida State University)
Volume 6-Knots and Applications
- Edited by:
- Louis H Kauffman (University of Illinois, Chicago)
Volume 5-Gems, Computers and Attractors for 3-Manifolds
- By (author):
- Sóstenes Lins (Universidade Federal de Pernambuco, Brazil)
Volume 4-Gauge Fields, Knots and Gravity
- By (author):
- John Baez (UC Riverside) and
- Javier P Muniain (UC Riverside)
Volume 3-Quantum Topology
- Edited by:
- Louis H Kauffman (University of Illinois at Chicago) and
- Randy A Baadhio (Lawrence Berkeley Laboratory & UC Berkeley)
Volume 2-How Surfaces Intersect in Space: An Introduction to Topology2^nd edition
- By (author):
- J Scott Carter (Univ. South Alabama)
Volume 2-How Surfaces Intersect in Space: An Introduction to Topology
- By (author):
- J Scott Carter (Univ. South Alabama)
Volume 1-Knots and Physics3^rd edition
- By (author):
- Louis H Kauffman (University of Illinois, Chicago)
Volume 1-Knots and Physics2^nd edition
- By (author):
- Louis H Kauffman (University of Illinois, Chicago)
Volume 1-Knots and Physics
- By (author):
- Louis H Kauffman (University of Illinois, Chicago)