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Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.

This book describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

Suitable for both math enthusiasts and crafters, this book provides methods, design challenges, and patterns that offer a springboard for creative exploration. Experienced bead crochet crafters can skip ahead to the pattern pages and begin crocheting from an abundance of unique, mathematically inspired designs. Those wishing to design their own patterns will find many useful tools, template patterns, and a new methodology for understanding how to do so even without using math. Puzzle lovers without previous knowledge of bead crochet will also find ample inspiration for learning the craft.

This classroom-tested text 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. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors.

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.

Presents step-by-step instructions and color distribution suggestions to create the more than 30 intricate designs. This book also includes a chapter featuring designs by origami artists from around the world.

In this book of mathematical stories, the well-known and highly esteemed author provides a surprisingly entertaining tour of unfamiliar territory. He describes stories about numbers, problems, people who do math, and the places where mathematical discoveries are made (such as desks, libraries, beds, and churches). You'll discover that counting can be quite difficult'for example, news reports claiming that "bees can count" show that journalists can't count and people who shun 13 must assume that gods can't count.

Many people start the day with physical exercise but few seem to be so concerned with exercising the most human of organs-the brain. This book provides you with entertaining and challenging mental exercises for every week of the year. Whether you are a high school student eager to sharpen your brain, or someone older who would like to retain your mental agility, you will find your brain getting sharper and more agile as you solve the puzzles in this book. Read a few puzzles every week, think about them, solve them, and you will see the results. And on the way to a sharper mind, you will enjoy every step.

Offers a comprehensive introduction to the role of infinity in mathematics, from ancient to modern times. Suitable for general audience, this book explains the critical philosophical issues connected to the concept of infinity and their relevance for the foundations of mathematics.

Here, the game "dots and boxes" serves as an introduction to mathematical game theory. The title is a guide to the game and its mathematical underpinnings. Chapters on strategy are interspersed with 100 sample problems and their strategic solutions.

Focuses on the relationship between mathematics and the fiber arts. Each chapter in this work starts with an overview of the mathematics and the needlework, followed by technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project.

Provides step-by-step instructions for the construction of over 30 different modular origami structures. This book describes basic folding techniques required to construct the "modules" that are used as building blocks to construct complex ornamental units. Its diagrams are accompanied by color photographs.

Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. This title develops a mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments.

A collection of mathematical puzzles which include twists on old favorites, "severe" difficulty puzzles, and puzzles that were solved or remain unsolved.

This text goes beyond folding instructions to address the implications and applications of this art. It is aimed at college teachers, mathematicians, engineers, computer scientists and physicists.

Unravels the mystery of Geometry in Origami with a fresh approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. This book also covers the five Platonic solids.

Contains select contributions from the Fourth International Conference on Origami in Science, Mathematics, and Education (4OSME), held September 8-10, 2006, in Pasadena, CA. The conference has been held approximately once every five years, and it focuses on the mathematics of origami and applications of origami in the sciences.

Shows that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). This book also shows that games and puzzles can serve as powerful models of computation - quite different from the usual models of automata and circuits.

This classic on games and how to play them intelligently is being re-issued in a new, four volume edition

This is a text on games and how to play them intelligently. In Volume 2, the authors have a change of heart, bending the rules established in Volume 1 to apply them to games such as Cut-cake and Loopy Hackenbush.

In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games

In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games

Hex Strategy is the first book to offer a comprehensive look at the game of Hex, from its history and mathematical underpinnings to discussions of advanced playing techniques

Collected over several years by Peter Winkler, of Bell Labs, dozens of elegant, intriguing challenges are presented in Mathematical Puzzles