Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
A History Of Folding In Mathematics
Download A History Of Folding In Mathematics full books in PDF, epub, and Kindle. Read online A History Of Folding In Mathematics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis A History of Folding in Mathematics by : Michael Friedman
Download or read book A History of Folding in Mathematics written by Michael Friedman and published by Birkhäuser. This book was released on 2018-05-25 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.
Download or read book Origametry written by Thomas C. Hull and published by Cambridge University Press. This book was released on 2020-10-08 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It is an essential reference for researchers of origami mathematics and applications in physics, engineering, and design. Educators, students, and enthusiasts will also enjoy this fascinating account of the mathematics of folding.
Book Synopsis Mathematical Origami by : David Mitchell
Download or read book Mathematical Origami written by David Mitchell and published by Tarquin Group. This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Origami is the art of paper folding without the use of either scissors or glue. Each of the beautiful and fundamental mathematical shapes described in this book is achieved by folding sheets of standard A4 paper. It is remarkable what can been done and David Mitchell gives clear step by step instructions for each. He has gathered together a most impressive collection which will amaze and interest mathematics teachers and other admirers of pure geometrical forms. This new second edition extends the selection massively and has been split into two volumes - see contents.
Book Synopsis Geometric Folding Algorithms by : Erik D. Demaine
Download or read book Geometric Folding Algorithms written by Erik D. Demaine and published by Cambridge University Press. This book was released on 2007-07-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
Download or read book Project Origami written by Thomas Hull and published by CRC Press. This book was released on 2012-12-21 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities. The book contains detailed plans for 30 hands-on, scalable origami activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors on solutions, how the handouts can be used, and other pedagogical suggestions. The handouts are also available on the book’s CRC Press web page. Reflecting feedback from teachers and students who have used the book, this classroom-tested text provides an easy and entertaining way for teachers to incorporate origami into a range of college and advanced high school math courses. Visit the author’s website for more information.
Book Synopsis Folding Tech by : Karen Latchana Kenney
Download or read book Folding Tech written by Karen Latchana Kenney and published by Millbrook Press. This book was released on 2020-11-03 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: Space probes, self-assembling robots, crash-absorbing cars, and designer proteins all have one thing in common: their use of folding technologies. To develop these technologies, engineers are taking inspiration from an unusual source—origami, the ancient art of paper folding. Examine origami's origins, how it intersects with mathematics, and how it became a tool to solve some of the most complicated challenges in engineering, architecture, technology, and medicine today. Plus, get a close-up look at these technologies with two augmented reality images included in the book!
Download or read book How to Fold it written by Joseph O'Rourke and published by . This book was released on 2011 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: "What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's website, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out"--Provided by publisher.
Book Synopsis Mathematics Through Paper Folding by : Alton T. Olson
Download or read book Mathematics Through Paper Folding written by Alton T. Olson and published by National Council of Teachers of. This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paper folding not only simplifies the learning of mathematics it also builds an experiential base necessary for further learning. The exercises in this publication, appropriate at various grade levels, lead students to discover and demonstrate such mathematical relationships as reflections, transformations and symmetry.
Book Synopsis Paper Folding for the Mathematics Class by : Donovan A. Johnson
Download or read book Paper Folding for the Mathematics Class written by Donovan A. Johnson and published by . This book was released on 1957 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems involving paper folding for students to discover relationships between straight lines and angles.
Download or read book Origami 5 written by Patsy Wang-Iverson and published by CRC Press. This book was released on 2016-04-19 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields. The fifth such meeting, 5OSME (July 13–17, 2010, Singapore Management University) followed the precedent previous meetings to explore the interdisciplinary connections between origami and the real world. This book begins with a section on origami history, art, and design. It is followed by sections on origami in education and origami science, engineering, and technology, and culminates with a section on origami mathematics—the pairing that inspired the original meeting. Within this one volume, you will find a broad selection of historical information, artists’ descriptions of their processes, various perspectives and approaches to the use of origami in education, mathematical tools for origami design, applications of folding in engineering and technology, as well as original and cutting-edge research on the mathematical underpinnings of origami.
Book Synopsis The Mathematics of the Gods and the Algorithms of Men by : Paolo Zellini
Download or read book The Mathematics of the Gods and the Algorithms of Men written by Paolo Zellini and published by Penguin UK. This book was released on 2020-02-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is mathematics a discovery or an invention? Do numbers truly exist? What sort of reality do formulas describe? The complexity of mathematics - its abstract rules and obscure symbols - can seem very distant from the everyday. There are those things that are real and present, it is supposed, and then there are mathematical concepts: creations of our mind, mysterious tools for those unengaged with the world. Yet, from its most remote history and deepest purpose, mathematics has served not just as a way to understand and order, but also as a foundation for the reality it describes. In this elegant book, mathematician and philosopher Paolo Zellini offers a brief cultural and intellectual history of mathematics, ranging widely from the paradoxes of ancient Greece to the sacred altars of India, from Mesopotamian calculus to our own contemporary obsession with algorithms. Masterful and illuminating, The Mathematics of the Gods and the Algorithms of Men transforms our understanding of mathematical thinking, showing that it is inextricably linked with the philosophical and the religious as well as the mundane - and, indeed, with our own very human experience of the universe.
Book Synopsis Origami Design Secrets by : Robert J. Lang
Download or read book Origami Design Secrets written by Robert J. Lang and published by CRC Press. This book was released on 2012-09-24 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert J. Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at
Book Synopsis Origami With Explanations: Fun With Folding And Math by : Jeanine Meyer
Download or read book Origami With Explanations: Fun With Folding And Math written by Jeanine Meyer and published by World Scientific. This book was released on 2020-11-17 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Find out More Origami with Explanations: Fun with Folding and MathOrigami, paper folding, originated hundreds of years ago in China and Japan, with independent discovery and activity across the world. The most familiar origami models are the crane and the flapping bird. This book will introduce you to origami, starting with a jumping frog and including traditional and modern models. Carefully written instructions, using photos and diagrams, will show you the main origami bases, turn you into a successful folder and stimulate your own creativity. Explanations will include attention to spatial relations, geometry, algebra, and pattern finding. The explanations provide insight into the origami while the folding will help your understanding of mathematics.
Book Synopsis Mathematics, Education and History by : Kathleen M. Clark
Download or read book Mathematics, Education and History written by Kathleen M. Clark and published by Springer. This book was released on 2018-03-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.
Download or read book How to Fold It written by Joseph O'Rourke and published by Cambridge University Press. This book was released on 2011-04-25 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? You can answer these questions and more through the mathematics of folding and unfolding. From this book, you will discover new and old mathematical theorems by folding paper and find out how to reason toward proofs. With the help of 200 color figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's Web site, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.
Book Synopsis Unfolding Mathematics with Unit Origami by : Betsy Franco
Download or read book Unfolding Mathematics with Unit Origami written by Betsy Franco and published by Key Curriculum. This book was released on 2003-04-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unfolding Mathematics With Unit Origami At last-an origami book designed specifically for mathematics classrooms! Origami books are typically written by origami experts and aimed at origami enthusiasts. This art form lends itself wonderfully to teaching mathematicsbut it's been up to you to find ways to do it. Now comes Unfolding Mathematics with Unit Origami, designed especially for algebra and geometry students in high school or middle school. Its elegant illustrations and detailed folding and assembly instructions enable you and your students to create beautiful and intriguing three-dimensional origami models. Its 16 absorbing activitiesall in blackline master formhave been carefully prepared in order of increasing difficulty of both folds and mathematical concepts. Through origami folding sequences, basic mathematical ideas reveal themselves: algebraic and angle relationships and different types of symmetry in two and three dimensions will engage your students'interest in new ways. You can choose activities from anywhere in the book, but if you move from front to back you'll cover an amazingly broad range of mathematical topics. And while the book's purpose is to teach mathematics, it also introduces students to the art of origami and contributions made to that art by noted origami experts, such as Tomoko Fus, Kunihiko Kasahara, David Masunaga, and Robert Neale. Most activities can be done in one class period and offer opportunities for group work, journal writing, and projects. Autobiographical vignettes by origami artists introduce students to origami culture and prompt students to discuss their own experiences with origami. The overview explains how you can best use this book in your classroom, including methods for assessing student work. Every activity gives you teaching ideas and strategies, as well as suggestions for extensions of the activity. There's also a glossary of terms and a list of recommended readings.
Book Synopsis Mathematics without Apologies by : Michael Harris
Download or read book Mathematics without Apologies written by Michael Harris and published by Princeton University Press. This book was released on 2017-05-30 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: An insightful reflection on the mathematical soul What do pure mathematicians do, and why do they do it? Looking beyond the conventional answers—for the sake of truth, beauty, and practical applications—this book offers an eclectic panorama of the lives and values and hopes and fears of mathematicians in the twenty-first century, assembling material from a startlingly diverse assortment of scholarly, journalistic, and pop culture sources. Drawing on his personal experiences and obsessions as well as the thoughts and opinions of mathematicians from Archimedes and Omar Khayyám to such contemporary giants as Alexander Grothendieck and Robert Langlands, Michael Harris reveals the charisma and romance of mathematics as well as its darker side. In this portrait of mathematics as a community united around a set of common intellectual, ethical, and existential challenges, he touches on a wide variety of questions, such as: Are mathematicians to blame for the 2008 financial crisis? How can we talk about the ideas we were born too soon to understand? And how should you react if you are asked to explain number theory at a dinner party? Disarmingly candid, relentlessly intelligent, and richly entertaining, Mathematics without Apologies takes readers on an unapologetic guided tour of the mathematical life, from the philosophy and sociology of mathematics to its reflections in film and popular music, with detours through the mathematical and mystical traditions of Russia, India, medieval Islam, the Bronx, and beyond.
