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Hello Numbers! What Can You Do?: An Adventure Beyond Counting
Learning meets wonder when you invite numbers to come play in your imagination! First think of One peeking out from the night Like a point, or a dot, or a shimmering light. But when One finds a friend to run from or run to, Then we can’t call both “One”—that new One must be Two! And should you want something to go in between, You’ll need a new number, a number like Three. Four makes a square when it’s standing around, But what would you see if it flies off the ground? And then when another new One comes to mind, Yell out its name if you know it . . . it’s Five! Do you like the way that these numbers are sounding? Then join our adventure to count beyond counting! Hello Numbers! What Can You Do? is not like any other counting book. As each “new One” appears on the scene, the numbers’ antics hint at ever-deeper math. Young readers ages 3 to 6 will not only count along, but begin to wonder about symmetry, angles, shapes, and more. Written by the mathematician-and-poet team Edmund Harriss and Houston Hughes, and illustrated by longstanding New York Times artist Brian Rea, this rollicking, rhyming book will take you to a whole new world of numbers.
Patterns of the Universe
"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."--
Visions of the Universe
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!
Rulers and Ruled in Late Medieval England
How power was distributed and exercised is a key issue in understanding attitudes and assumptions in late medieval England. The essays in this volume all deal with those who had the power to make political decisions, whether kings, nobles or gentry, courtiers or clergy. While ultimately power rested on force, it was enshrined in the law and more usually exercised by influence and by the dangling of reward. Most disputes were settled without violence, if often with recourse to prolonged struggles in the courts, but those who offended against established interests could be punished severely, as the cases of Sir John Mortimer and of Bishop Reginald Pecock show. These essays, presented to Gerald Harriss, who has done so much to illuminate the history of the period, show not only how power was exercised but also how men of the time thought about it. Contributors: Rowena E. Archer, Christine Carpenter, Jeremy Catto, Rosemary Horrox, R.W. Hoyle, Maurice Keen, Dominic Luckett, Philippa Maddern, S.J. Payling, Edward Powell, Anthony Smith, Simon Walker, Christopher Woolgar, Edmund Wright.
Colouring Adventures in Numberland
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!
3D Printing in Mathematics
This volume is based on lectures delivered at the 2022 AMS Short Course “3D Printing: Challenges and Applications” held virtually from January 3–4, 2022. Access to 3D printing facilities is quickly becoming ubiquitous across college campuses. However, while equipment training is readily available, the process of taking a mathematical idea and making it into a printable model presents a big hurdle for most mathematicians. Additionally, there are still many open questions around what objects are possible to print, how to design algorithms for doing so, and what kinds of geometries have desired kinematic properties. This volume is focused on the process and applications of 3D printing for...
Common Knowledge
Structure is a central theme of construction, of interest to both engineers and architects; this book on architectural structures aims to facilitate the dialogue between these two professions. The chapters are organized into a progressive, step-by-step analysis of increasing complexity - a structural path - stressing an intuitive approach and conveying with diagrams and simple equations the requirements behind the dimensioning of all types of structures employed in construction. This approach is particularly useful for students, providing them with an intuitive understanding of form and function, as well as the insight to make their designs more sensible, coherent and elegant. "The art of structures" has been written for architects, civil engineers and construction professionals, and for all those need to acquire an intuitive and practical approach to the design and appropriate dimensioning of load bearing structures.
Alex's Adventures in Numberland
The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan. Packed with fascinating, eye-opening anecdotes, Alex's Adventures in Numberland is an exhilarating cocktail of history, reportage and mathematical proofs that will leave you awestruck.
Illustrating Mathematics
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.
The Geometry of Schemes
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
