Quipu: Decorated Permutation Representations Of Finite Groups PDF Download
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Author: Yongju Bae
Publisher: World Scientific
ISBN: 9811292779
Category : Mathematics
Languages : en
Pages : 456
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Book Description
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.
Author: Yongju Bae
Publisher: World Scientific
ISBN: 9811292779
Category : Mathematics
Languages : en
Pages : 456
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Book Description
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.
Author: Dong-eog Kim
Publisher: World Scientific
ISBN: 9811209383
Category : Medical
Languages : en
Pages : 195
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Book Description
The book provides updated knowledge on cerebrovascular imaging-related anatomy and topographic maps for neurologists, neurosurgeons, neuroradiologists, and neurovascular researchers as well as medical or neuroscience students. It includes not only high-resolution cerebrovascular images but also topographic brain maps.The topographic brain maps will provide (a) 'recently-updated' knowledge on cerebrovascular territories, which are of key clinical importance in patients with stroke; (b) age-specific WMH maps that allows a 'tailored patient-specific' interpretation in stroke- and vascular dementia-related clinical practice; and (c) easy-to-use 'reference maps' that allow prompt and reliable visual estimation of cerebral infarct volumes. This pocket book will serve as the best format for these image datasets to be looked up and referenced by the vast majority of readers.Apart from being a handy reference for neurovascular or neuroscience researchers, this book can also be used as a supplementary text book in medical schools.
Author: David Lippman
Publisher:
ISBN: 9781479276530
Category : Electronic books
Languages : en
Pages : 0
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Book Description
Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.
Author: Roland Barthes
Publisher: Macmillan
ISBN: 0809071940
Category : Literary Collections
Languages : en
Pages : 296
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Book Description
"This new edition of MYTHOLOGIES is the first complete, authoritative English version of the French classic, Roland Barthes's most emblematic work"--
Author: Lorenza Saitta
Publisher: Springer Science & Business Media
ISBN: 1461470528
Category : Computers
Languages : en
Pages : 488
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Book Description
Abstraction is a fundamental mechanism underlying both human and artificial perception, representation of knowledge, reasoning and learning. This mechanism plays a crucial role in many disciplines, notably Computer Programming, Natural and Artificial Vision, Complex Systems, Artificial Intelligence and Machine Learning, Art, and Cognitive Sciences. This book first provides the reader with an overview of the notions of abstraction proposed in various disciplines by comparing both commonalities and differences. After discussing the characterizing properties of abstraction, a formal model, the KRA model, is presented to capture them. This model makes the notion of abstraction easily applicable by means of the introduction of a set of abstraction operators and abstraction patterns, reusable across different domains and applications. It is the impact of abstraction in Artificial Intelligence, Complex Systems and Machine Learning which creates the core of the book. A general framework, based on the KRA model, is presented, and its pragmatic power is illustrated with three case studies: Model-based diagnosis, Cartographic Generalization, and learning Hierarchical Hidden Markov Models.
Author: Helaine Selin
Publisher: Springer Science & Business Media
ISBN: 9781402002601
Category : Mathematics
Languages : en
Pages : 504
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Book Description
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.
Author: Ravi P Agarwal
Publisher: Springer
ISBN: 3319108700
Category : Mathematics
Languages : en
Pages : 514
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Book Description
The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.
Author: Nataša Jonoska
Publisher: Springer Science & Business Media
ISBN: 3642401937
Category : Computers
Languages : en
Pages : 522
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Book Description
Theoretical tools and insights from discrete mathematics, theoretical computer science, and topology now play essential roles in our understanding of vital biomolecular processes. The related methods are now employed in various fields of mathematical biology as instruments to "zoom in" on processes at a molecular level. This book contains expository chapters on how contemporary models from discrete mathematics – in domains such as algebra, combinatorics, and graph and knot theories – can provide perspective on biomolecular problems ranging from data analysis, molecular and gene arrangements and structures, and knotted DNA embeddings via spatial graph models to the dynamics and kinetics of molecular interactions. The contributing authors are among the leading scientists in this field and the book is a reference for researchers in mathematics and theoretical computer science who are engaged with modeling molecular and biological phenomena using discrete methods. It may also serve as a guide and supplement for graduate courses in mathematical biology or bioinformatics, introducing nontraditional aspects of mathematical biology.
Author: R.K. Owens
Publisher:
ISBN: 9780648794790
Category : Electronic books
Languages : en
Pages : 372
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Book Description
The mystery of the Pyramids has been solved! For thousands of years the Pyramids have been enshrouded in mystery and their purpose for being built has been an enigma. This book solves the mystery of the Pyramids and presents the mathematical discoveries in a clear and rational way. The connection between the mathematics of the Pyramids and the Crop Circles is revealed!Mathematician, R.K. Owens, presents compelling findings about the geometry behind the Pyramids. Using the Golden Ratio, Vesica Piscis and Pi, new and exciting discoveries are presented mapping the precise geometry behind the Pyramids of Giza, the conical structures of Guachimontones and the Sun and Moon Pyramids of Teotihuacan. The mathematics that appears in natural organic growth is the same mathematics that unifies the Pyramid complexes.R.K. Owens demonstrates the interconnections between the height, slopes and base of the Pyramids. He shows how the same measurements that appear in the Pyramids of Giza are also the same mathematics and ratios of sunflowers and natural organic growth. The mathematics of the layout of the Pyramid complexes is mapped out, demonstrating the reason for the three Pyramids being lined up in the way that they are. The reason that the third, smaller Pyramid is offset by a number of degrees is mathematically explained. The same mathematics and ratios that appear in the layout of the Pyramids of Giza also occurs in the structures of Guachimontones and the Sun and Moon Pyramids of Teotihuacan. This is demonstrated in this book with clear mathematics. Most compellingly, R.K. Owens decodes the mathematics of Crop Circles that feature the same mathematics as the layout of the Pyramids. This presents questions as to the origin of the Pyramids and our own sacred origins as a human race.
Author: Victor M. Buchstaber
Publisher: American Mathematical Soc.
ISBN: 147042214X
Category : Mathematics
Languages : en
Pages : 534
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Book Description
This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields. The key players in toric topology are moment-angle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of moment-angle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on moment-angle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and non-Kaehler complex geometry. A related categorical construction of moment-angle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area.
