Make Geometry

Author : Joan Horvath
Publisher : Maker Media, Inc.
ISBN 13 : 1680456679
Total Pages : 423 pages
Book Rating : 4.77/5 ( download)

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Download or read book Make: Geometry written by Joan Horvath and published by Maker Media, Inc.. This book was released on 2021-06-28 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jon Allen
Publisher :
ISBN 13 : 9780863159145
Total Pages : 136 pages
Book Rating : 4.41/5 ( download)

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Download or read book Making Geometry written by Jon Allen and published by . This book was released on 2012 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professional guide to making three-dimensional models of all the Platonic and Archimedian solids in step-by-step instructions.

Author : Kathleen Eernisse
Publisher : Frank Schaffer Publications Incorporated
ISBN 13 : 9780768202625
Total Pages : 80 pages
Book Rating : 4.20/5 ( download)

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Download or read book Geometry Made Simple written by Kathleen Eernisse and published by Frank Schaffer Publications Incorporated. This book was released on 2001-09-11 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now it's simple to make Algebra and Geometry fun and exciting. Includes background information, extension activities, group learning, school-home connections, and student activities for a variety of teaching units. An easy-to-use teacher resource that makes learning fun!

Author : DK
Publisher : National Geographic Books
ISBN 13 : 1465491147
Total Pages : 0 pages
Book Rating : 4.45/5 ( download)

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Download or read book Geometry Genius written by DK and published by National Geographic Books. This book was released on 2020-07-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An interactive guide to shapes for 5 to 8 year olds, this bright and bold lift-the-flap activity book helps children understand the properties of 2-D and 3-D shapes. Shapes are an important topic for early learners, and this visually appealing book will make it a lot of fun, too! Geometry Genius features fun geometric characters, like Fox and Lion, and lift-the-flap activities that help kids relate shapes to everyday life. Characters pose key questions, such as "What's special about a sphere?," "What is an equilateral triangle?," and "How many lines of symmetry does a hexagon have?" Children can then lift the flaps and find the answers. An interactive pop-up will also bring learning to life by encouraging kids to spot different shapes within the scene. Geometry Genius helps kids identify and describe 2-D and 3-D shapes, compare and contrast features of regular and irregular shapes, discuss the size and orientation of shapes, understand nets, identify and count lines of symmetry, and more! It gets kids thinking about shapes in their world and not just on the pages of a math book. Quiz questions and fun activities are found sprinkled throughout the book, encouraging kids to lift the flaps and find out more. Learning shapes is a highly visual topic, and this book tackles the subject in a visually appealing, fully interactive, and playful way.

Author : Vaughn Climenhaga
Publisher : American Mathematical Soc.
ISBN 13 : 1470434792
Total Pages : 420 pages
Book Rating : 4.93/5 ( download)

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Download or read book From Groups to Geometry and Back written by Vaughn Climenhaga and published by American Mathematical Soc.. This book was released on 2017-04-07 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.

Author : Natalie Chanin
Publisher : Abrams
ISBN 13 : 1683351231
Total Pages : 150 pages
Book Rating : 4.38/5 ( download)

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Download or read book The Geometry of Hand-Sewing written by Natalie Chanin and published by Abrams. This book was released on 2018-05-15 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sewing guide reveals a breakthrough method to simplify learning stitches of all kinds, with more than 100 stitches from the simple to the fanciful. As makers, we tend to learn different stitches over time without thinking much about how they relate to one another. But when Natalie Chanin and her teams at Alabama Chanin and The School of Making began to look at needlework closely, they realized all stitches are based on geometric grid systems. They also discovered that learning new stitches—even elaborate ones—became simple and easy when using grids as guides. In The Geometry of Hand-Sewing Chanin presents their breakthrough method, featuring illustrated instructions (for both right- and left-handed stitchers) for more than 100 stitches—from the basic straight and chain to complex feather and herringbone. Photos of both right and wrong sides are included, as well as guidelines for modifying stitches to increase one’s repertoire further. The book also offers downloads for two stitching cards with the grids on which every stitch in the book is based. These printable cards can be used as stencils for transferring grids to fabric.

Author : Melvin Hausner
Publisher : Courier Dover Publications
ISBN 13 : 0486835391
Total Pages : 417 pages
Book Rating : 4.96/5 ( download)

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Download or read book A Vector Space Approach to Geometry written by Melvin Hausner and published by Courier Dover Publications. This book was released on 2018-10-17 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science — including physics, analysis, and group theory — as well as its value in understanding probability, determinant theory, and function spaces. Outstanding features of this volume include discussions of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.

Author : I. Martin Isaacs
Publisher : American Mathematical Soc.
ISBN 13 : 0821847945
Total Pages : 242 pages
Book Rating : 4.47/5 ( download)

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Download or read book Geometry for College Students written by I. Martin Isaacs and published by American Mathematical Soc.. This book was released on 2009 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the challenges many mathematics students face occurs after they complete their study of basic calculus and linear algebra, and they start taking courses where they are expected to write proofs. Historically, students have been learning to think mathematically and to write proofs by studying Euclidean geometry. In the author's opinion, geometry is still the best way to make the transition from elementary to advanced mathematics. The book begins with a thorough review of high school geometry, then goes on to discuss special points associated with triangles, circles and certain associated lines, Ceva's theorem, vector techniques of proof, and compass-and-straightedge constructions. There is also some emphasis on proving numerical formulas like the laws of sines, cosines, and tangents, Stewart's theorem, Ptolemy's theorem, and the area formula of Heron. An important difference of this book from the majority of modern college geometry texts is that it avoids axiomatics. The students using this book have had very little experience with formal mathematics. Instead, the focus of the course and the book is on interesting theorems and on the techniques that can be used to prove them. This makes the book suitable to second- or third-year mathematics majors and also to secondary mathematics education majors, allowing the students to learn how to write proofs of mathematical results and, at the end, showing them what mathematics is really all about.

Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 1984879065
Total Pages : 481 pages
Book Rating : 4.66/5 ( download)

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Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

Author : Danica McKellar
Publisher : Penguin
ISBN 13 : 0452298741
Total Pages : 433 pages
Book Rating : 4.43/5 ( download)

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Download or read book Girls Get Curves written by Danica McKellar and published by Penguin. This book was released on 2013-07-02 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: New York Times bestselling author Danica McKellar makes it a breeze to excel in high school geometry! Hollywood actress and math whiz Danica McKellar has completely shattered the “math nerd” stereotype. For years, she’s been showing girls how to feel confident and ace their math classes—with style! With Girls Get Curves, she applies her winning techniques to high school geometry, giving readers the tools they need to feel great and totally “get” everything from congruent triangles to theorems, and more. Inside you’ll find: • Time-saving tips and tricks for homework and tests • Illuminating practice problems (and proofs!) with detailed solutions • Totally relateable real-world examples • True stories from Danica’s own life as an actress and math student • A Troubleshooting Guide, for getting unstuck during even the trickiest proofs! With Danica as a coach, girls everywhere can stop hiding from their homework and watch their scores rise!