The Knot Geometry journey - Part III

The Knot Geometry journey - Part III PDF Author: Jean Constant
Publisher: Hermay NM
ISBN:
Category : Art
Languages : en
Pages : 23

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Book Description
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

The Knot Geometry journey - Part III PDF Author: Jean Constant
Publisher: Hermay NM
ISBN:
Category : Art
Languages : en
Pages : 23

Get Book Here

Book Description
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

The Knot Geometry journey - Part II PDF Author: Jean Constant
Publisher: Hermay NM
ISBN:
Category : Art
Languages : en
Pages : 70

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Book Description
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 I

The Knot Geometry journey - Part I PDF Author: Jean Constant
Publisher: Hermay NM
ISBN:
Category : Art
Languages : en
Pages : 84

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Book Description
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.

Prime Number Geometry

Prime Number Geometry PDF Author: Jean Constant
Publisher: Hermay NM
ISBN:
Category : Art
Languages : en
Pages : 91

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Book Description
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.

Minimal Surfaces

Minimal Surfaces PDF Author: Jean Constant
Publisher: Hermay NM
ISBN:
Category : Mathematics
Languages : en
Pages : 78

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Book Description
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.

The Knot Book

The Knot Book PDF Author: Colin Conrad Adams
Publisher: American Mathematical Soc.
ISBN: 0821836781
Category : Mathematics
Languages : en
Pages : 330

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Book Description
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.

Low-Dimensional Geometry

Low-Dimensional Geometry PDF Author: Francis Bonahon
Publisher: American Mathematical Soc.
ISBN: 082184816X
Category : Mathematics
Languages : en
Pages : 403

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Book Description
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.

The Theory of Quantum Torus Knots: Volume II

The Theory of Quantum Torus Knots: Volume II PDF Author: Michael Ungs
Publisher: Lulu.com
ISBN: 0557459885
Category : Technology & Engineering
Languages : en
Pages : 726

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Book Description
A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, Navier-Stokes hydrodynamics, and Maxwell electromagnetism by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).

Living Proof

Living Proof PDF Author: Allison K. Henrich
Publisher:
ISBN: 9781470452810
Category : Academic achievement
Languages : en
Pages : 136

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Book Description
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.

The Geometry Of The Universe

The Geometry Of The Universe PDF Author: Colin Rourke
Publisher: World Scientific
ISBN: 9811233888
Category : Science
Languages : en
Pages : 274

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Book Description
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.