Quipu Decorated Permutation Representations Of Finite Groups
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Quipu Decorated Permutation Representations Of Finite Groups
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Author : Yongju Bae
language : en
Publisher: World Scientific
Release Date : 2024-06-27
Quipu Decorated Permutation Representations Of Finite Groups written by Yongju Bae and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-27 with Mathematics categories.
This book studies dihedral groups, dicyclic groups, other finite subgroups of the 3-dimensional sphere, and the 2-fold extensions of the symmetric group on 4 letters from the point of view of decorated string diagrams of permutations. These are our metaphorical quipu. As you might expect, the book is replete with illustrations. In (almost) all cases, explicit diagrams for the elements of the group are given. The exception is the binary icosahedral group in which only the generators and relations are exhibited.
Combinatorial Knot Theory
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Author : Roger A Fenn
language : en
Publisher: World Scientific
Release Date : 2024-11-27
Combinatorial Knot Theory written by Roger A Fenn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-27 with Mathematics categories.
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.
Four Dimensional Paper Constructions After Mobius Klein And Boy
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Author : Eiji Ogasa
language : en
Publisher: World Scientific
Release Date : 2025-03-05
Four Dimensional Paper Constructions After Mobius Klein And Boy written by Eiji Ogasa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-05 with Mathematics categories.
Explore four-dimensional paper constructions inspired by the work of great mathematicians like Möbius, Klein, Boy, Hopf, and others. These creations will help you visualize four-dimensional space and beyond, transporting you to higher-dimensional spaces. This book is designed to solidify your foundations in various areas of mathematics and physics, with a particular focus on topology.If you are familiar with higher-dimensional spaces from loving sci-fi stories, you may find the four-dimensional illustrations in this book especially intuitive. Imagine starting on Earth and traveling straight up into the universe — where would you end up? Perhaps you would travel in one direction only to eventually return to your starting point. Can you imagine what happens during the course of this trip? By engaging with these four-dimensional paper constructions, you will gain a deeper understanding of this fascinating journey.
Projective Representations Of The Symmetric Groups
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Author : Peter Norman Hoffman
language : en
Publisher: Oxford University Press
Release Date : 1992
Projective Representations Of The Symmetric Groups written by Peter Norman Hoffman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book presents information currently known on the projective representations of the symmetric and alternating groups. Special emphasis is placed on the theory of Q-functions and skew Q-functions.
Mathematics Across Cultures
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Author : Helaine Selin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematics Across Cultures written by Helaine Selin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.
Software Studies
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Author : Matthew Fuller
language : en
Publisher: MIT Press
Release Date : 2008
Software Studies written by Matthew Fuller and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computer programs categories.
This collection of short expository, critical and speculative texts offers a field guide to the cultural, political, social and aesthetic impact of software. Experts from a range of disciplines each take a key topic in software and the understanding of software, such as algorithms and logical structures.
The Crest Of The Peacock
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Author : George Gheverghese Joseph
language : en
Publisher: Penguin Group
Release Date : 1992
The Crest Of The Peacock written by George Gheverghese Joseph and has been published by Penguin Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Representations Of Finite Groups Of Lie Type
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Author : François Digne
language : en
Publisher: Cambridge University Press
Release Date : 1991-04-26
Representations Of Finite Groups Of Lie Type written by François Digne and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04-26 with Mathematics categories.
The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasize the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it. They also discuss Deligne-Lusztig induction. This will be the first elementary treatment of this material in book form and will be welcomed by beginning graduate students in algebra.
The Handy Math Answer Book
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Author : Patricia Barnes-Svarney
language : en
Publisher: Visible Ink Press
Release Date : 2012-05-01
The Handy Math Answer Book written by Patricia Barnes-Svarney and has been published by Visible Ink Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-01 with Mathematics categories.
From Sudoku to Quantum Mechanics, Unraveling the Mysteries of Mathematics! What's the formula for changing intimidation to exhilaration? When it comes to math, it's The Handy Math Answer Book! From a history dating back to prehistoric times and ancient Greece to how we use math in our everyday lives, this fascinating and informative guide addresses the basics of algebra, calculus, geometry, and trigonometry, and then proceeds to practical applications. You'll find easy-to-follow explanations of how math is used in daily financial and market reports, weather forecasts, real estate valuations, games, and measurements of all kinds. In an engaging question-and-answer format, more than 1,000 everyday math questions and concepts are tackled and explained, including ... What are a googol and a googolplex? What are some of the basic “building blocks” of geometry? What is a percent? How do you multiply fractions? What are some of the mathematics behind global warming? What does the philosophy of mathematics mean? What is a computer“app”? What's the difference between wet and dry measurements when you're cooking? How often are political polls wrong? How do you figure out a handicap in golf and bowling? How does the adult brain process fractions? And many, many more! For parents, teachers, students, and anyone seeking additional guidance and clarity on their mathematical quest, The Handy Math Answer Book is the perfect guide to understanding the world of numbers bridging the gap between left- and right-brained thinking. Appendices on Measurements and Conversion Factors plus Common Formulas for Calculating Areas and Volumes of shapes are also included. Its helpful bibliography and extensive index add to its usefulness.
Mythologies
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Author : Roland Barthes
language : en
Publisher: Macmillan
Release Date : 1972
Mythologies written by Roland Barthes and has been published by Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Foreign Language Study categories.
"No denunciation without its proper instrument of close analysis," Roland Barthes wrote in his preface to Mythologies. There is no more proper instrument of analysis of our contemporary myths than this book?one of the most significant works in French theory, and one that has transformed the way readers and philosophers view the world around them.