Download or read book The Knot Geometry journey Part I written by Jean Constant and published by Hermay NM. This book was released on 2021-07-17 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Knot Geometry journey Part II written by Jean Constant and published by Hermay NM. This book was released on 2021-07-19 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Knot Geometry journey Part III written by Jean Constant and published by Hermay NM. This book was released on 2021-07-19 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Knot Geometry Journey written by Jean Constant and published by Blurb. This book was released on 2021-08-03 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Prime Number Geometry written by Jean Constant and published by Hermay NM. This book was released on 2024-08-01 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 52 Illustration Prime Number series is a new chapter in the ongoing Math-Art collection exploring the world of mathematics and art. Inspired by the research of mathematicians from yesterday and today, this project aims to explore the visual aspect of numbers and highlight the unexpected connections between the challenging world of calculus, geometry, and art. Some will find references to ethnomathematics or a reflection on the universal cross-cultural appeal of mathematics; others will find a relation with the world we’re mapping for tomorrow, and hopefully, all will enjoy this unexpected interpretation of numbers from an artistic standpoint.
Download or read book Minimal Surfaces written by Jean Constant and published by Hermay NM. This book was released on 2022-08-09 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 52 illustration two-part book on the exploration of minimal surfaces. Part 1 explores the surface from an artistic perspective, and part 2 visually reproduces the equations that stand in their own right as a beautiful expression of pure geometry. Each book includes notes from an informal work-in-progress diary and references directing the reader to the images’ original mathematical source. Both sides complement each other in helping us appreciate better these unrivaled expressions of our environment found in nature, from butterflies to black holes, and studied in statistics, material sciences, and architecture.
Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Low Dimensional Geometry written by Francis Bonahon and published by American Mathematical Soc.. This book was released on 2009-07-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Works of Michael de Montaigne Comprising His Essays Letters and Journey Through Germany and Italy written by Michel de Montaigne and published by . This book was released on 1853 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Works Comprising His Essays Letters and Journey Through Germany and Italy with Notes Notices Etc written by Michel de Montaigne and published by . This book was released on 1849 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Living Proof written by Allison K. Henrich and published by . This book was released on 2019 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.
Download or read book Molecular Catenanes Rotaxanes and Knots written by Jean-Pierre Sauvage and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This journey through the fascinating world of molecular topology focuses on catenanes, rotaxanes and knots, their synthesis, properties, and applications and the theory of interlocking and interpenetrating molecules. Nearly one hundred years of progress have passed since Willstätter's speculative vision of a molecule consisting of two interlinked rings. But even today the synthesis of such structures are a challenge to the creativity of synthetic chemists. These molecules are not only of academic interest, since they occur naturally. In such molecules as DNA, knots and related topological features play a key role in biochemical processes. In addition, extensive research on the properties of polyrotaxanes and polycatenanes show potential applications as molecular magnets, wires or switches. Twelve international leading experts in the field present the broad and impressive spectrum of the topology of these molecules, from theoretical aspects and new pathways in synthesis to probing their properties. All researchers working in this interdisciplinary area, whether organic, inorganic or polymer chemists, as well as material scientists, will welcome this comprehensive and up-to-date work as an inspiring source for creative research ideas.
Download or read book A Walk in Ancient Rome Vivid Journey Back in Time written by John T. Cullen and published by iBooks. This book was released on 2005 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: What would it be like to return to Ancient Rome and discover what things were really like?
Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Download or read book Ricci Flow and the Poincare Conjecture written by John W. Morgan and published by American Mathematical Soc.. This book was released on 2007 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Crop Circles for Beginners written by Harry Eilenstein and published by BoD – Books on Demand. This book was released on 2021-06-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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".
Download or read book Celtic Quilts written by Beth Ann Williams and published by That Patchwork Place. This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: These all-new, timesaving techniques show quilters how to create exquisite, interlacing Celtic patterns more simply and quickly than ever before Just "baste" designs with fusible web, machine appliqu with "invisible" stitches, and add dramatic color and texture with decorative threads. A mix of ancient and modern Celtic patterns is provided. Includes: Complete instructions for 12 beautiful Celtic wall quilts, pillows, and table runners. Elegant block, medallion, and border patterns, all given a fresh look with color-rich prints. Tips on making stained-glass style Celtic quilts with ready-made 1/4" bias strips.
