Visualizing Mathematics with 3D Printing

Visualizing Mathematics with 3D Printing PDF Author: Henry Segerman
Publisher: JHU Press
ISBN: 1421420368
Category : Mathematics
Languages : en
Pages : 201

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Book Description
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.

Visualizing Mathematics with 3D Printing

Visualizing Mathematics with 3D Printing PDF Author: Henry Segerman
Publisher: JHU Press
ISBN: 1421420368
Category : Mathematics
Languages : en
Pages : 201

Get Book Here

Book Description
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.

The Printing of Mathematics; Aids for Authors and Editors and Rules for Compositors and Readers at the University Press, Oxford

The Printing of Mathematics; Aids for Authors and Editors and Rules for Compositors and Readers at the University Press, Oxford PDF Author: Theodore William Chaundy
Publisher:
ISBN:
Category : Printing
Languages : en
Pages : 105

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Book Description


Illustrating Mathematics

Illustrating Mathematics PDF Author: Diana Davis
Publisher: American Mathematical Soc.
ISBN: 1470461226
Category : Education
Languages : en
Pages : 90

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Book Description
This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

Two Millennia of Mathematics

Two Millennia of Mathematics PDF Author: George M. Phillips
Publisher: Springer Science & Business Media
ISBN: 1461211808
Category : Mathematics
Languages : en
Pages : 236

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Book Description
A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.

Why Math?

Why Math? PDF Author: R.D. Driver
Publisher: Springer Science & Business Media
ISBN: 1461211085
Category : Mathematics
Languages : en
Pages : 245

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Book Description
This text aims to show that mathematics is useful to virtually everyone. And it seeks to accomplish this by offering the reader plenty of practice in elementary mathematical computations motivated by real-world problems. The prerequisite for this book is a little algebra and geometry-nothing more than entrance requirements at most colleges. I hope that users-especially those who "don't like math"-will complete the course with greater confidence in their ability to solve practical problems (without seeking help from someone who is "good at math"). Here is a sampler of some of the problems to be encountered: I. If a U. S. dollar were worth 1. 15 Canadian dollars, what would a Canadian dollar be worth in U. S. money? 2. If the tax rates are reduced 5% one year and then 10% in each of the next 2 years (as they were between 1981 and 1984), what is the overall reduction for the 3 years? 3. An automobile cooling system contains 10 liters ofa mixture of water and antifreeze which is 25% antifreeze. How much of this should be drained out and replaced with pure antifreeze so that the resulting 10 liters will be 40% antifreeze? 4. If you drive halfway at 30 mph and the rest of the distance at 50 mph, what is your average speed for the entire trip? 5. A tank storing solar heated water stands unmolested in a room having an approximately constant temperature of 80°F.

Math-It

Math-It PDF Author: Elmer W. Brooks
Publisher:
ISBN: 9780913717066
Category :
Languages : en
Pages : 25

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Book Description


Mathematics for Human Flourishing

Mathematics for Human Flourishing PDF Author: Francis Su
Publisher: Yale University Press
ISBN: 0300248814
Category : Mathematics
Languages : en
Pages : 287

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Book Description
Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.”—James Tanton, Global Math Project"A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book."—MAA Reviews For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award‑winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires—such as for play, beauty, freedom, justice, and love—and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother’s, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher’s letters to the author appear throughout the book and show how this intellectual pursuit can—and must—be open to all.

The Essence of Mathematics Through Elementary Problems

The Essence of Mathematics Through Elementary Problems PDF Author: Alexandre Borovik
Publisher:
ISBN: 9781783746996
Category : Mathematics
Languages : en
Pages : 398

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Book Description


The Math Book

The Math Book PDF Author: Clifford A. Pickover
Publisher: Union Square & Co.
ISBN: 1402797494
Category : Mathematics
Languages : en
Pages : 935

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Book Description
Math’s infinite mysteries and beauty unfold in this follow-up to the best-selling The Science Book. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

MYP Mathematics 2: Print and Online Course Book Pack

MYP Mathematics 2: Print and Online Course Book Pack PDF Author: David Weber
Publisher: Oxford University Press, USA
ISBN: 9780198356264
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Build solid mathematical understanding and develop key conceptual connections. The inquiry-based approach integrates the MYP key concepts, helping you shift to a concept-based classroom and cement mathematical comprehension. Fully comprehensive and matched to the Revised MYP to support achievement. Progress your learners into IB Diploma - fully comprehensive and matched to the MYP Next Chapter curriculum Develop conceptual understanding in the best way for your learners - learn by mathematical unit or by key concept Drive active, critical exploration of mathematical principles - build rounded comprehension framed within the key and related concepts Develop meaningful cross-curricular connections that help learners recognize and manipulate mathematical ideas in other disciplines Support higher level thinking skills through an approach grounded in factual, conceptual and debatable questions Build a solid foundation of practical skills with extensive practice equipping learners to apply skills Fully prepare learners for the MYP eAssessment Multiplatform access, compatible with a wide range of devices Your first login will be facilitated by a printed access card that will be sent to you in the mail Includes one print course book and one online course book