Board Games Throughout The History And Multidimensional Spaces

Author : Kyppo Jorma
Publisher : World Scientific
Page : 344 pages
File Size : 53,6 Mb
Release : 2019-07-08
Category : Mathematics
ISBN : 9789813233546

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Board Games: Throughout The History And Multidimensional Spaces by Kyppo Jorma Pdf

In this richly illustrated book, Dr Jorma Kyppö explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of the famous Cretan Phaistos Disk. Descriptions of several chess variations, including some highlights of the game theory and tiling in different dimensions, are followed by a multidimensional symmetrical n-person strategy game model, based on chess. Final chapter (Concluding remarks) offers the new generalizations of the Euler-Poincare's Characteristic, Pi and Fibonacci sequence.

Author : Jorma Kyppo
Publisher : World Scientific Publishing Company
Page : 250 pages
File Size : 53,7 Mb
Release : 2018-11-30
Category : Mathematics
ISBN : 9813233524

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Board Games by Jorma Kyppo Pdf

Author : Fiedler Thomas
Publisher : World Scientific
Page : 260 pages
File Size : 51,7 Mb
Release : 2019-08-27
Category : Mathematics
ISBN : 9789811210310

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Polynomial One-cocycles For Knots And Closed Braids by Fiedler Thomas Pdf

Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under 'higher' Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be transformed into knots in the solid torus without loss of information. It turns out that knots in the solid torus have a particular rich topological moduli space. It contains many 'canonical' loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots.

Author : Alexey Stakhov
Publisher : World Scientific
Page : 247 pages
File Size : 54,8 Mb
Release : 2020-05-05
Category : Mathematics
ISBN : 9789811206382

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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 Alexey Stakhov Pdf

Volume I is the first part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.

Author : Alexey Stakhov
Publisher : World Scientific
Page : 331 pages
File Size : 43,9 Mb
Release : 2020-09-03
Category : Mathematics
ISBN : 9789811213489

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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 Alexey Stakhov Pdf

Volume II is the second part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.

Author : Alexey Stakhov
Publisher : World Scientific
Page : 244 pages
File Size : 40,8 Mb
Release : 2020-09-03
Category : Mathematics
ISBN : 9789811213519

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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 Alexey Stakhov Pdf

Volume III is the third part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.

Author : Jack Shulman Avrin
Publisher : World Scientific
Page : 281 pages
File Size : 40,7 Mb
Release : 2021-08-06
Category : Science
ISBN : 9789813278998

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On Complementarity: A Universal Organizing Principle by Jack Shulman Avrin Pdf

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.

Author : Colin Rourke
Publisher : World Scientific
Page : 274 pages
File Size : 46,9 Mb
Release : 2021-06-03
Category : Science
ISBN : 9789811233883

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The Geometry Of The Universe by Colin Rourke Pdf

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.

Author : Thomas Fiedler
Publisher : World Scientific
Page : 341 pages
File Size : 48,9 Mb
Release : 2023-01-04
Category : Mathematics
ISBN : 9789811263019

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One-cocycles And Knot Invariants by Thomas Fiedler Pdf

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.

Author : Hilda Maria Colin Garcia,Jose De Jesus Cruz Guzman,Louis H Kauffman,Hanna Makaruk
Publisher : World Scientific
Page : 771 pages
File Size : 53,5 Mb
Release : 2023-09-27
Category : Mathematics
ISBN : 9789811271168

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Scientific Legacy Of Professor Zbigniew Oziewicz: Selected Papers From The International Conference "Applied Category Theory Graph-operad-logic" by Hilda Maria Colin Garcia,Jose De Jesus Cruz Guzman,Louis H Kauffman,Hanna Makaruk Pdf

Dedicated to the memory of the late Professor Zbigniew Oziewicz from Universidad Nacional Autónoma de México, the book consists of papers on a wide variety of topics related to the work of Professor Oziewicz, which were presented at the special conference on Graph-Operads-Logic (GOL 2021), selected through peer review to promote his scientific legacy.Professor Oziewicz was a great enthusiast and supporter of category theory and its applications in physics, as well as in various areas of mathematics (topology, noncommutative geometry, etc.). In particular, he made significant contributions to the theory of Frobenius algebras, which now are becoming more important due to their connection with topological quantum field theories that are used in mathematical physics and in quantum topology. Professor Oziewicz was a great and very generous teacher, who immersed his students in the beautiful ideas of category theory as well as mathematical physics and computation. It was his idea to start a series of conferences under the title Graphs-Operads-Logic, most of them held in Mexico, with some of them in the USA, which were a great platform to discuss various ideas connected with category theory and its various applications, and to make friends with other scientists. Despite his passing, the GOL 2021 conference is included in this series to pay tribute to his many contributions to diverse areas of science.The book is laid out in twelve main topics where we can find relevant works from distinguished experts.

Author : Harold James Ruthven Murray
Publisher : Oxford University Press, USA
Page : 294 pages
File Size : 51,5 Mb
Release : 1952
Category : Games & Activities
ISBN : UOM:39015002333873

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A History of Board-games Other Than Chess by Harold James Ruthven Murray Pdf

Compares the board games of different peoples and traces their origin and diffusion.

Author : Philipp Von Hilgers
Publisher : MIT Press
Page : 235 pages
File Size : 40,6 Mb
Release : 2012-03-16
Category : Technology & Engineering
ISBN : 9780262300377

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War Games by Philipp Von Hilgers Pdf

The convergence of military strategy and mathematics in war games, from medieval to modern times. For centuries, both mathematical and military thinkers have used game-like scenarios to test their visions of mastering a complex world through symbolic operations. By the end of World War I, mathematical and military discourse in Germany simultaneously discovered the game as a productive concept. Mathematics and military strategy converged in World War II when mathematicians designed fields of operation. In this book, Philipp von Hilgers examines the theory and practice of war games through history, from the medieval game boards, captured on parchment, to the paper map exercises of the Third Reich. Von Hilgers considers how and why war games came to exist: why mathematical and military thinkers created simulations of one of the most unpredictable human activities on earth. Von Hilgers begins with the medieval rythmomachia, or Battle of Numbers, then reconstructs the ideas about war and games in the baroque period. He investigates the role of George Leopold von Reiswitz's tactical war game in nineteenth-century Prussia and describes the artifact itself: a game board–topped table with drawers for game implements. He explains Clausewitz's emphasis on the “fog of war” and the accompanying element of incalculability, examines the contributions of such thinkers as Clausewitz, Leibniz, Wittgenstein, and von Neumann, and investigates the war games of the German military between the two World Wars. Baudrillard declared this to be the age of simulacra; war games stand contrariwise as simulations that have not been subsumed in absolute virtuality.

Author : Damian Gareth Walker
Publisher : Lulu.com
Page : 235 pages
File Size : 43,6 Mb
Release : 2014-11
Category : Games & Activities
ISBN : 9781326066956

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A Book of Historic Board Games by Damian Gareth Walker Pdf

Board games have been played throughout the world for thousands of years. Many times, in many different cultures, people have amused themselves by devising mock races, battles and hunts, played in miniature on a small surface. The rules and the level of sophistication has changed through the ages, but the general idea has remained the same. Some of the oldest games, like backgammon, chess and draughts, are still popular today. This book looks at twelve different games taken from various periods of history. Most will not be recognised by the general public, but deserve to be better known. They are pachisi, halma, agon, tâb, fanorona, nine men's morris, wari, konane, xiang qi, tablut, asalto and renju. Each game has a whole chapter to itself, which includes a history, the rules, and a section on strategy and tactics. It is the author's intention that the reader will gain appreciation and enthusiasm for these wonderful old games, and be entertained by them for years to come.

Author : Zhao Guodong,Yi Huanhuan,Xu Yuanzhong
Publisher : BEIJING BOOK CO. INC.
Page : 273 pages
File Size : 43,8 Mb
Release : 2021-12-01
Category : Business & Economics
ISBN : 9787500166917

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Metaverse by Zhao Guodong,Yi Huanhuan,Xu Yuanzhong Pdf

2021年是元宇宙的元年。堪比大航海时代的大迁徙，人类全面走进数字世界，开辟鸿蒙、创世而生。创造、生活、娱乐，乃至工作的数字时空，是为元宇宙。其中，需要重新思考存在和虚无、肉体和精神、性善和性恶、自我和宇宙的哲学命题，需要不断探索有限和无限、秩序与自由、自治与法治、经济与治理、伦理和文明的边界，需要全面融合区块链、AR、5G、大数据、人工智能、3D引擎等新技术，形成数字创造、数字资产、数字市场、数字货币、数字消费的新模式。元宇宙是“心”的绽放，是“梦”的具象，是“我思故我在”的全息展现。内求于心，外形于物，物物相生，元宇宙成矣。或许，互联网的终极形态就是“元宇宙”。

Author : Ian Livingstone,James Wallis
Publisher : Dorling Kindersley Ltd
Page : 178 pages
File Size : 50,9 Mb
Release : 2019-09-05
Category : Games & Activities
ISBN : 9780241443132

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Board Games in 100 Moves by Ian Livingstone,James Wallis Pdf

Surprising stories behind the games you know and love to play. Journey through 8,000 years of history, from Ancient Egyptian Senet and Indian Snakes and Ladders, right up to role-play, fantasy and hybrid games of the present day. More than 100 games are explored chronologically, from the most ancient to the most modern. Every chapter is full of insightful anecdotes exploring everything from design and acquisition to game play and legacy. Discover tales of Buddha's banned games, stolen patents, boards smuggled into prison, and Dungeons & Dragons hysteria. Roll six to start, pass go, and learn more about your favourite board games, from Mahjong to Monopoly and more!