Visions of the Universe

A Coloring Journey Through Math's Great Mysteries

Author: Alex Bellos,Edmund Harriss

Publisher: The Experiment

ISBN: 1615193677

Category: Art

Page: 144

View: 5134

Peek "behind the scenes" of the universe--and see math in brilliant color! For curious minds throughout history, math was truly an art. In Visions of the Universe, you can pick up right where Isaac Newton, Blaise Pascal, and other luminaries left off--by coloring 58 exquisite patterns inspired by great discoveries in math: Intricate geometric designs like those that grace the mosques of Mecca Felix Klein's astounding diagram--drawn in 1897--of light reflecting between five mirrored spheres A mind-bending puzzle so beautiful it once hung outside a Japanese temple, and more! Plus, in the Creating chapter, you'll help complete 10 additional images by following simple steps that give spectacular results. No math knowledge is required: Anyone can be an artist in Numberland!

Patterns of the Universe

A Coloring Adventure in Math and Beauty

Author: Alex Bellos,Edmund Harriss

Publisher: The Experiment

ISBN: 1615193235

Category: Art

Page: 144

View: 8643

"A coloring book that reveals math's hidden beauty and contemplative power as never before with 78 coloring designs and games that explore symmetry, fractals, tessellations, randomness, and more."--

Our Mathematical Universe

My Quest for the Ultimate Nature of Reality

Author: Max Tegmark

Publisher: Vintage

ISBN: 038535049X

Category: Science

Page: 432

View: 2004

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

The Grapes of Math

How Life Reflects Numbers and Numbers Reflect Life

Author: Alex Bellos

Publisher: Simon and Schuster

ISBN: 1451640129

Category: Mathematics

Page: 352

View: 2877

From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

Coloring Book of Complex Function Representations

Author: Julie Barnes,Beth Schaubroeck

Publisher: MAA Press

ISBN: 9780883855911


Page: 40

View: 1938

Have you ever seen a mathematical object that was so intriguing that anyone, regardless of mathematical background, could appreciate its aesthetic beauty? If so, did you stop to color it? Now is your chance. Explore the beauty of mathematics in this collection if intricate pictures related to complex-valued functions. Any of these images could pass for designs found in some of the many coloring books for adults seen in stores today and are displayed here for you to color. While looking at the coloring pages, you can read about the author's quest to find interesting images. Their tale includes expeditions on the complex plane, work with families of complex functions, visits to Julia sets, unexpected results from a typo, random explorations, and a final send-off from a well-known cartoon character. Grab your colored pencils and enjoy coloring these functions. There are no incorrect ways to color, and consequently, there are no answers in the back of the book!

Colouring Adventures in Numberland

Author: Alex Bellos

Publisher: N.A

ISBN: 9781408888988


Page: 144

View: 2262

A 'mathemagical' colouring book, with 60 patterns to colour and 10 more that YOU create!For those who ponder the most intriguing questions in maths, the realm of numbers is not only visual but also beautiful. What does a sphere look like in four dimensions? How can a knight on a chessboard visit every square? And can a five-sided tile cover an infinite floor?Visions of Numberland unlocks the world's greatest mathematical mysteries, with 70 patterns to colour in. The friendly explanations next to each pattern unlock the secrets of an intellectual quest that has been underway for three thousand years - but no maths knowledge is required. Anyone can be an artist in Numberland!

The Great Mathematical Problems

Author: Ian Stewart

Publisher: Profile Books

ISBN: 1847653510

Category: Mathematics

Page: 340

View: 551

There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincar Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

The Golden Ratio

And Other Mathematical Patterns Inspired by Nature and Art

Author: Michael O'Mara Books,Steve Richards

Publisher: Lark Books (NC)

ISBN: 9781454710226

Category: Art

Page: 96

View: 7953

The elegance of mathematics meets the creativity of art in this unique coloring book. The golden ratio is the mathematical equation that describes what many consider the "divine proportion," and it's found throughout nature, as well as in art and architecture. This stunning coloring book showcases the beauty of Fibonacci's most famous formula, exploring the many ways numbers and beauty combine. Logical and creative minds alike will enjoy filling in the spirals and designs in these remarkable images.


Mathematical Explorations Through Paper Folding

Author: Kazuo Haga,Josefina Fonacier,Masami Isoda

Publisher: World Scientific

ISBN: 9812834907

Category: Mathematics

Page: 134

View: 5382

The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning and teaching of geometry.In this unique and original book, origami is an object of mathematical exploration. The activities in this book differ from ordinary origami in that no figures of objects result. Rather, they lead the reader to study the effects of the folding and seek patterns. The experimental approach that characterizes much of science activity can be recognized throughout the book, as the manipulative nature of origami allows much experimenting, comparing, visualizing, discovering and conjecturing. The reader is encouraged to fill in all the proofs, for his/her own satisfaction and for the sake of mathematical completeness. Thus, this book provides a useful, alternative approach for reinforcing and applying the theorems of high school mathematics.

New visions for linking literature and mathematics

Author: David Jackman Whitin,Phyllis Whitin

Publisher: Natl Council of Teachers of

ISBN: 9780814133484

Category: Education

Page: 170

View: 5229

This book for K-6 teachers includes a wealth of ideas for selecting appropriate literary texts to enrich learning in both literature and mathematics. The authors offer specific criteria for evaluating math-related children's books; practical discussions about books and their use in K-6 classrooms; an in-depth look at problem posing and book pairs as effective strategies for engaging all students; interesting sidebars of extension activities and text sets; practical strategies for introducing math-related books to children; and on annotated list of the best math-related literature available.

Snowflake, Seashell, Star

A Colouring Adventure in Numberland

Author: Alex Bellos

Publisher: N.A

ISBN: 9781782117889


Page: 120

View: 8790

Bestselling author of Alex's Adventures in Numberland joins the meditative colouring book craze with this mathematical colouring book.

Cycles of Time

An Extraordinary New View of the Universe

Author: Roger Penrose

Publisher: Vintage

ISBN: 0307596745

Category: Science

Page: 304

View: 8361

This groundbreaking book presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? Penrose shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.

Sports Math

An Introductory Course in the Mathematics of Sports Science and Sports Analytics

Author: Roland B. Minton

Publisher: CRC Press

ISBN: 1498706290

Category: Mathematics

Page: 278

View: 5397

Can you really keep your eye on the ball? How is massive data collection changing sports? Sports science courses are growing in popularity. The author’s course at Roanoke College is a mix of physics, physiology, mathematics, and statistics. Many students of both genders find it exciting to think about sports. Sports problems are easy to create and state, even for students who do not live sports 24/7. Sports are part of their culture and knowledge base, and the opportunity to be an expert on some area of sports is invigorating. This should be the primary reason for the growth of mathematics of sports courses: the topic provides intrinsic motivation for students to do their best work. From the Author: "The topics covered in Sports Science and Sports Analytics courses vary widely. To use a golfing analogy, writing a book like this is like hitting a drive at a driving range; there are many directions you can go without going out of bounds. At the driving range, I pick out a small target to focus on, and that is what I have done here. I have chosen a sample of topics I find very interesting. Ideally, users of this book will have enough to choose from to suit whichever version of a sports course is being run." "The book is very appealing to teach from as well as to learn from. Students seem to have a growing interest in ways to apply traditionally different areas to solve problems. This, coupled with an enthusiasm for sports, makes Dr. Minton’s book appealing to me."—Kevin Hutson, Furman University Features Provides an introduction to several topics within the field of sports analytics Contains numerous sports examples showing how things actually work Includes concrete examples of how Moneyball ideas actually work Covers sports illusions (can you really "keep your eye on the ball") in a unique way Discusses many of the concepts, terms, and metrics that are new to sports

The Mathematical Tourist

New and Updated Snapshots of Modern Mathematics

Author: Ivars Peterson

Publisher: Macmillan

ISBN: 0805071598

Category: Mathematics

Page: 288

View: 5943

A guide to mathematics covers such topics as mathematical proofs, fractals, chaos, prime numbers, four-dimensional geometry, and quasicrystals.

A Brief History of Infinity

The Quest to Think the Unthinkable

Author: Brian Clegg

Publisher: Robinson

ISBN: 1472107640

Category: Mathematics

Page: 160

View: 8498

'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric. Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read.

Creating Symmetry

The Artful Mathematics of Wallpaper Patterns

Author: Frank A. Farris

Publisher: Princeton University Press

ISBN: 1400865670

Category: Art

Page: 248

View: 768

This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics. Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own. Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.

Can You Solve My Problems?

Ingenious, Perplexing, and Totally Satisfying Math and Logic Puzzles

Author: Alex Bellos

Publisher: The Experiment

ISBN: 161519388X

Category: Games & Activities

Page: 352

View: 2396

Puzzle lovers, rejoice! Bestselling math writer Alex Bellos has a challenge for you: 125 of the world's best brainteasers from the last two millennia. Armed with logic alone, you'll detect counterfeit coins, navigate river crossings, and untangle family trees. Then--with just a dash of high school math--you'll tie a rope around the Earth, match wits with a cryptic wizard, and use four 4s to create every number from 1 to 50. (It can be done!) The ultimate casebook for daring puzzlers, Can You Solve My Problems? also tells the story of the puzzle--from ancient China to Victorian England to modern-day Japan. Grab your pencil and get puzzling!

The Man Who Counted: A Collection of Mathematical Adventures

Author: Malba Tahan

Publisher: W. W. Norton & Company

ISBN: 0393254313

Category: Mathematics

Page: 256

View: 5115

“A great storyteller.”—Paulo Coelho, author of The Alchemist Malba Tahan is the creation of a celebrated Brazilian mathematician looking for a way to bring some of the mysteries and pleasures of mathematics to a wider public. The adventures of Beremiz Samir, The Man Who Counted, take the reader on a journey in which, time and again, Samir summons his extraordinary mathematical powers to settle disputes, give wise advice, overcome dangerous enemies, and win for himself fame, fortune, and rich rewards. We learn of previous mathematicians and come to admire Samir’s wisdom and patience. In the grace of Tahan’s telling, these stories hold unusual delights for the reader.