On Complementarity: A Universal Organizing Principle - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On Complementarity: A Universal Organizing Principle write by Jack Shulman Avrin. This book was released on 2021-08-06. On Complementarity: A Universal Organizing Principle available in PDF, EPUB and Kindle. It is not uncommon for the Principle of Complementarity to be invoked in either Science or Philosophy, viz. the ancient oriental philosophy of Yin and Yang whose symbolic representation is portrayed on the cover of the book. Or Niels Bohr's use of it as the basis for the so-called Copenhagen interpretation of Quantum Mechanics. This book arose as an outgrowth of the author's previous book entitled 'Knots, Braids and Moebius Strips,' published by World Scientific in 2015, wherein the Principle itself was discovered to be expressible as a simple 2x2 matrix that summarizes the algebraic essence of both the well-known Microbiology of DNA and the author's version of the elementary particles of physics. At that point, the possibility of an even wider utilization of that expression of Complementarity arose.The current book, features Complementarity, in which the matrix algebra is extended to characterize not only DNA itself but the well-known process of its replication, a most gratifying outcome. The book then goes on to explore Complementarity, with and without its matrix expression, as it occurs, not only in much of physics but in its extension to cosmology as well.
Laws Of Form: A Fiftieth Anniversary
Laws Of Form: A Fiftieth Anniversary - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Laws Of Form: A Fiftieth Anniversary write by Louis H Kauffman. This book was released on 2023-01-09. Laws Of Form: A Fiftieth Anniversary available in PDF, EPUB and Kindle. Laws of Form is a seminal work in foundations of logic, mathematics and philosophy published by G Spencer-Brown in 1969. The book provides a new point of view on form and the role of distinction, markedness and the absence of distinction (the unmarked state) in the construction of any universe. A conference was held August 8-10, 2019 at the Old Library, Liverpool University, 19 Abercromby Square, L697ZN, UK to celebrate the 50th anniversary of the publication of Laws of Form and to remember George Spencer-Brown, its author. The book is a collection of papers introducing and extending Laws of Form written primarily by people who attended the conference in 2019.
The Geometry Of The Universe
The Geometry Of The Universe - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry Of The Universe write by Colin Rourke. This book was released on 2021-06-03. The Geometry Of The Universe available in PDF, EPUB and Kindle. Cosmology, the study of the universe, arouses a great deal of public interest, with serious articles both in the scientific press and in major newspapers, with many of the theories and concepts (e.g. the 'big bang' and 'black holes') discussed, often in great depth.Accordingly the book is divided into three parts:Part 1 is readable (and understandable) by anyone with a nodding acquaintance with the basic language of cosmology: events, lights paths, galaxies, black holes and so on. It covers the whole story of the book in a way as untechnical as possible given the scope of the topics covered.Part 2 covers the same ground again but with enough technical details to satisfy a reader with basic knowledge of mathematics and/or physics.Part 3 consists of appendices which are referred to in the other parts and which also contain the highly technical material omitted from Section 2.
Geometric Foundations Of Design: Old And New
Geometric Foundations Of Design: Old And New - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Foundations Of Design: Old And New write by Jay Kappraff. This book was released on 2021-03-05. Geometric Foundations Of Design: Old And New available in PDF, EPUB and Kindle. This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs.
One-cocycles And Knot Invariants
One-cocycles And Knot Invariants - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One-cocycles And Knot Invariants write by Thomas Fiedler. This book was released on 2023-01-04. One-cocycles And Knot Invariants available in PDF, EPUB and Kindle. One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discrete combinatorial analysis in knot theory in order to solve a global tetrahedron equation. This new technique is then used to construct combinatorial 1-cocycles in a certain moduli space of knot diagrams. The construction of the moduli space makes use of the meridian and the longitude of the knot. The combinatorial 1-cocycles are therefore lifts of the well-known Conway polynomial of knots, and they can be calculated in polynomial time. The 1-cocycles can distinguish loops consisting of knot diagrams in the moduli space up to homology. They give knot invariants when they are evaluated on canonical loops in the connected components of the moduli space. They are a first candidate for numerical knot invariants which can perhaps distinguish the orientation of knots.
