The Knot Geometry Journey Part I
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The Knot Geometry Journey Part I
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Author : Jean Constant
language : en
Publisher: Hermay NM
Release Date : 2021-07-17
The Knot Geometry Journey Part I written by Jean Constant and has been published by Hermay NM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-17 with Art categories.
Volume 12 of the Math-Art series. This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures worldwide. Starting at latitude 0º, longitude 0º, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project’s positioning, actual winds, and currents in real-time. Each book includes 52 illustrations, notes, and references.
The Knot Geometry Journey Part Ii
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Author : Jean Constant
language : en
Publisher: Hermay NM
Release Date : 2021-07-19
The Knot Geometry Journey Part Ii written by Jean Constant and has been published by Hermay NM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-19 with Art categories.
Volume 12 of the Math-Art series. This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures worldwide. Starting at latitude 0º, longitude 0º, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project’s positioning, actual winds, and currents in real-time. Each book includes 52 illustrations, notes, and references.
The Knot Geometry Journey Part Iii
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Author : Jean Constant
language : en
Publisher: Hermay NM
Release Date : 2021-07-19
The Knot Geometry Journey Part Iii written by Jean Constant and has been published by Hermay NM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-19 with Art categories.
Volume 12 of the Math-Art series. This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures worldwide. Starting at latitude 0º, longitude 0º, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project’s positioning, actual winds, and currents in real-time. Each book includes 52 illustrations, notes, and references.
The Knot Geometry Journey
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Author : Jean Constant
language : en
Publisher: Blurb
Release Date : 2021-08-03
The Knot Geometry Journey written by Jean Constant and has been published by Blurb this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-03 with Art categories.
This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures of the world. Starting at latitude 0o, longitude 0o, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project's positioning, actual winds, and currents in real-time. Illustrations, notes, and references.
The Knot Book
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Author : Colin Conrad Adams
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
The Knot Book written by Colin Conrad Adams and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Minimal Surfaces Part 1 The Art
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Author : Jean Constant
language : en
Publisher: Hermay NM
Release Date : 2022-06-16
Minimal Surfaces Part 1 The Art written by Jean Constant and has been published by Hermay NM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-16 with Art categories.
A two-part book on the exploration of minimal surfaces. In mathematics, a minimal surface is a surface for which the mean curvature H is zero at all points. These elegant and complex shapes found in Nature from butterflies, beetles, or black holes are studied today in statistics, material sciences, and architecture. I explored this singular shape from the perspective of a visual artist for 52 weeks, January-December 2021. Inspiring in many ways, the esthetics of these complex equations borne in the minds of brilliant scientists add a unique all-encompassing perspective to shapes and objects also found in Nature. I structured the project into part 1 – the art inspired by the shape- and part 2 - the plain visualization of the equations that stand in their own right as a beautiful expression of a mathematical mind at work. I included the informal log I kept throughout the journey in both parts. In part 2, I added the mathematical background that helped me understand the particular shape I was working on. Both sides complement each other in helping us appreciate these unrivaled original expressions of our environment.
Low Dimensional Geometry
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Author : Francis Bonahon
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-07-14
Low Dimensional Geometry written by Francis Bonahon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-14 with Mathematics categories.
The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments. Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry. However, the ultimate goal is to describe the very recently completed geometrization program for 3-dimensional manifolds. The journey to reach this goal emphasizes examples and concrete constructions as an introduction to more general statements. This includes the tessellations associated to the process of gluing together the sides of a polygon. Bending some of these tessellations provides a natural introduction to 3-dimensional hyperbolic geometry and to the theory of kleinian groups, and it eventually leads to a discussion of the geometrization theorems for knot complements and 3-dimensional manifolds. This book is illustrated with many pictures, as the author intended to share his own enthusiasm for the beauty of some of the mathematical objects involved. However, it also emphasizes mathematical rigor and, with the exception of the most recent research breakthroughs, its constructions and statements are carefully justified.
Winning Ways For Your Mathematical Plays
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Author : Elwyn R. Berlekamp
language : en
Publisher: CRC Press
Release Date : 2018-05-08
Winning Ways For Your Mathematical Plays written by Elwyn R. Berlekamp and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-08 with Mathematics categories.
This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order to develop winning strategies.
Ricci Flow And The Poincare Conjecture
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Author : John W. Morgan
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Ricci Flow And The Poincare Conjecture written by John W. Morgan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
For over 100 years the Poincare Conjecture, which proposes a topological characterization of the 3-sphere, has been the central question in topology. Since its formulation, it has been repeatedly attacked, without success, using various topological methods. Its importance and difficulty were highlighted when it was chosen as one of the Clay Mathematics Institute's seven Millennium Prize Problems. in 2002 and 2003 Grigory Perelman posted three preprints showing how to use geometric arguments, in particular the Ricci flow as introduced and studied by Hamilton, to establish the Poincare Conjecture in the affirmative. This book provides full details of a complete proof of the Poincare Conjecture following Perelman's three preprints. After a lengthy introduction that outlines the entire argument, the book is divided into four parts. The first part reviews necessary results from Riemannian geometry and Ricci flow, including much of Hamilton's work. The second part starts with Perelman's length function, which is used to establish crucial non-collapsing theorems. Then it discusses the classification of non-collapsed, ancient solutions to the Ricci flow equation. The third part concerns the existence of Ricci flow with surgery for all positive time and an analysis of the topological and geometric changes introduced by surgery. The last part follows Perelman's third preprint to prove that when the initial Riemannian 3-manifold has finite fundamental group, Ricci flow with surgery becomes extinct after finite time. The proofs of the Poincare Conjecture and the closely related 3-dimensional spherical space-form conjectu The existence of Ricci flow with surgery has application to 3-manifolds far beyond the Poincare Conjecture. It forms the heart of the proof via Ricci flow of Thurston's Geometrization Conjecture. Thurston's Geometrization Conjecture, which classifies all compact 3-manifolds, will be the subject of a follow-up article. The organization of the material in this book differs from that given by Perelman. From the beginning the authors present all analytic and geometric arguments in the context of Ricci flow with surgery. in addition, the fourth part is a much-expanded version of Perelman's third preprint; it gives the first complete and detailed proof of the finite-time extinction theorem. With the large amount of background material that is presented and the detailed versions of the central arguments, this book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology. Clay Mathematics Institute Monograph Series The Clay Mathematics Institute Monograph Series publishes selected expositions of recent developments, both in emerging areas and in older subjects transformed by new insights or unifying ideas. Information for our distributors: Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Crop Circles For Beginners
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Author : Harry Eilenstein
language : en
Publisher: BoD – Books on Demand
Release Date : 2021-06-14
Crop Circles For Beginners written by Harry Eilenstein and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-14 with Religion categories.
Since about 1985, crop circles have become a more well-known phenomenon. In the meantime, about 10,000 crop circles have appeared in more than 50 countries. However, well over half of them come from southern England in the area of Stonehenge, Woodhenge, Silbury Hill, White Horse and other prehistoric monuments. Some of them can be proved to have been made by humans, but others just as certainly have not been made by humans - this is not the starting situation one would wish for as a researcher ... In the present book 300 of these crop circles are examined more closely. It turns out that they contain approx. 100 elements which appear in many crop circles. Their geometrical form has an easily recognizable meaning. Therefore, with the help of these "words", the crop circles composed of them can be read like "sentences". The meaning is almost always the same: a representation of how individuality unfolds. Therefore, there are many similarities with astrology or the chakra system, for example. This analytical approach is complemented by 50 dream journeys into individual crop circles, which makes the picture that arises from the analytical observation of the crop circles even more rounded. Thereby a first impression can be gained of the language of the collective subconsciousness - which words and which grammar it uses: It is a "music of geometry".