3d Printing In Mathematics
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Visualizing Mathematics With 3d Printing
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Author : Henry Segerman
language : en
Publisher: JHU Press
Release Date : 2016-10-04
Visualizing Mathematics With 3d Printing written by Henry Segerman and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-04 with Mathematics categories.
The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.
3d Printing In Mathematics
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Author : Maria Trnkova
language : en
Publisher: American Mathematical Society
Release Date : 2023-11-07
3d Printing In Mathematics written by Maria Trnkova and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-07 with Mathematics categories.
This volume is based on lectures delivered at the 2022 AMS Short Course “3D Printing: Challenges and Applications” held virtually from January 3–4, 2022. Access to 3D printing facilities is quickly becoming ubiquitous across college campuses. However, while equipment training is readily available, the process of taking a mathematical idea and making it into a printable model presents a big hurdle for most mathematicians. Additionally, there are still many open questions around what objects are possible to print, how to design algorithms for doing so, and what kinds of geometries have desired kinematic properties. This volume is focused on the process and applications of 3D printing for mathematical education, research, and visualization, alongside a discussion of the challenges and open mathematical problems that arise in the design and algorithmic aspects of 3D printing. The articles in this volume are focused on two main topics. The first is to make a bridge between mathematical ideas and 3D visualization. The second is to describe methods and techniques for including 3D printing in mathematical education at different levels— from pedagogy to research and from demonstrations to individual projects. We hope to establish the groundwork for engaged academic discourse on the intersections between mathematics, 3D printing and education.
3d Printing With Biomaterials
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Author : A.J.M. van Wijk
language : en
Publisher: IOS Press
Release Date : 2015-01-15
3d Printing With Biomaterials written by A.J.M. van Wijk and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-15 with Business & Economics categories.
Additive manufacturing or 3D printing, manufacturing a product layer by layer, offers large design freedom and faster product development cycles, as well as low startup cost of production, on-demand production and local production. In principle, any product could be made by additive manufacturing. Even food and living organic cells can be printed. We can create, design and manufacture what we want at the location we want. 3D printing will create a revolution in manufacturing, a real paradigm change. 3D printing holds the promise to manufacture with less waste and energy. We can print metals, ceramics, sand, synthetic materials such as plastics, food or living cells. However, the production of plastics is nowadays based on fossil fuels. And that’s where we witness a paradigm change too. The production of these synthetic materials can be based also on biomaterials with biomass as feedstock. A wealth of new and innovative products are emerging when we combine these two paradigm changes: 3D printing and biomaterials. Moreover, the combination of 3D printing with biomaterials holds the promise to realize a truly sustainable and circular economy.
Learning Mathematics In The Context Of 3d Printing
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Author : Frederik Dilling
language : en
Publisher: Springer Nature
Release Date : 2023-03-01
Learning Mathematics In The Context Of 3d Printing written by Frederik Dilling and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-01 with Mathematics categories.
The volume presents a collection of articles on the use of 3D printing technology in mathematics education and in mathematics teacher training. It contains both basic research-oriented contributions as well as reflected descriptions of concrete developments for teaching. The authors of this compilation share a positive attitude towards the possibilities that the use of 3D printing technology (understood as an interplay of software and hardware) can unfold for mathematics education, but critically evaluate from a mathematics education research perspective when, where and how an application can enable an added value for the learning of a mathematical content.
Make Geometry
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Author : Joan Horvath
language : en
Publisher: Maker Media, Inc.
Release Date : 2021-06-28
Make Geometry written by Joan Horvath and has been published by Maker Media, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-28 with Mathematics categories.
Geometry, of all the branches of mathematics, is the one that is most easily visualized by making something. However, it is all too easy to reduce it to reams of formulas to memorize and proofs to replicate. This book aims to take geometry back to its practical roots with 3D printed models and puzzles as well as demonstrations with household objects like flashlights and paper towel tubes. This is not a traditional geometry textbook, but rather builds up understanding of geometry concepts while also bringing in elements of concepts normally learned much later. Some of the models are counterintuitive, and figuring out how and why they work will both entertain and give insights. Two final chapters suggesting open-ended projects in astronomy and physics, and art and architecture, allow for deeper understanding and integration of the learning in the rest of the book.
3d Printing And Its Impact On The Production Of Fully Functional Components
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Author : Petar Kocovic
language : en
Publisher:
Release Date : 2017
3d Printing And Its Impact On The Production Of Fully Functional Components written by Petar Kocovic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with TECHNOLOGY & ENGINEERING categories.
"This book explores how the advantages of 3D printing over traditional manufacturing processes could lead to profound changes in the way many things are designed, developed, produced and supported. This book also explores accelerated product-development cycles, new manufacturing strategies, shifting sources of profit, new possibilities in the processes, and disruptive competitors"--
3d Math Primer For Graphics And Game Development 2nd Edition
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Author : Fletcher Dunn
language : en
Publisher: CRC Press
Release Date : 2011-11-02
3d Math Primer For Graphics And Game Development 2nd Edition written by Fletcher Dunn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-02 with Computers categories.
This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
Love And Math
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Author : Edward Frenkel
language : en
Publisher: Hachette UK
Release Date : 2013-10-01
Love And Math written by Edward Frenkel and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-01 with Mathematics categories.
An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
Pasta By Design
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Author : George Liaropoulos-Legendre
language : en
Publisher:
Release Date : 2011
Pasta By Design written by George Liaropoulos-Legendre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Architectural design categories.
A mathematical investigation into every known type of pasta.
Advances In Mathematics For Industry 4 0
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Author : Mangey Ram
language : en
Publisher: Academic Press
Release Date : 2020-10
Advances In Mathematics For Industry 4 0 written by Mangey Ram and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10 with categories.
Advances in Mathematics for Industry 4.0 examines key tools, techniques, strategies, and methods in engineering applications. By covering the latest knowledge in technology for engineering design and manufacture, chapters provide systematic and comprehensive coverage of key drivers in rapid economic development. Written by leading industry experts, chapter authors explore managing big data in processing information and helping in decision making, including mathematical and optimization techniques for dealing with large amount of data in short periods.