Joseph O'Rourke Livres

The incredible 3-D dynamics of pop-up cards can be analyzed using high-school mathematics - a bit of trigonometry, but no calculus necessary. This book explores the beautifully intricate constructions, revealing a tangible, focused employment of mathematics in contrast to the often unmotivated presentation in traditional curricula.

Sixteen of today's greatest unsolved mathematical puzzles in a story-driven, illustrated volume that invites readers to peek over the edge of the unknown.Most people think of mathematics as a set of useful tools designed to answer analytical questions, beginning with simple arithmetic and ending with advanced calculus. But, as Mage Merlin's Unsolved Mathematical Mysteries shows, mathematics is filled with intriguing mysteries that take us to the edge of the unknown. This richly illustrated, story-driven volume presents sixteen of today's greatest unsolved mathematical puzzles, all understandable by anyone with elementary math skills. These intriguing mysteries are presented to readers as puzzles that have time-traveled from Camelot, preserved in the notebook of Merlin, the wise magician in King Arthur's court.Our guide is Mage Maryam (named in honor of the brilliant young mathematician, the late Maryam Mirzakhani), a distant descendant of Merlin. Maryam introduces the mysteries--each of which is presented across two beautifully illustrated pages--and provides mathematical and historical context afterward. We find Merlin confronting mathematical puzzles involving tinker toys (a present for Camelot's princesses from the sorceress Morgana), cake-slicing at a festival, Lancelot's labyrinth, a vault for the Holy Grail, and more. Each mystery is a sword awaiting removal from its stone, capturing the beauty and power of mathematics.

Jacob E. Goodman, co-founder and editor of Discrete & Computational Geometry, collaborates with esteemed computer scientist Joseph O'Rourke and other experts to create a definitive handbook on discrete and computational geometry. In recent years, researchers in these interrelated fields have fostered a productive collaboration, enhancing each area through shared methods and insights. As these disciplines become increasingly intertwined, their applications are expanding across diverse sectors, including computer graphics, linear programming, manufacturing, and robotics. This handbook addresses the need for a comprehensive resource for professionals and researchers, consolidating scattered information from various sources into a single volume. It encompasses thousands of results—ranging from theorems to algorithms and tables—providing thorough coverage of both fields. The content is accessible for novices while offering depth for specialists, with every technical term clearly defined in an easy-to-use glossary. Over 200 figures illustrate key concepts and provide examples, and the handbook also includes information on current geometric software, detailing its functionality and efficiency.

Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas. Among the presentations are recently discovered theorems onorthogonal polygons, polygons with holes, exterior visibility, visibility graphs, and visibility in three dimensions. The author formulates many open problems and offers several conjectures, providing arguments which may be followed by anyone familiar with basic graph theory and algorithms. Thiswork may be applied to robotics and artificial intelligence as well as other fields, and will be especially useful to computer scientists working with computational and combinatorial geometry.

Bogactwo narodow Adama Smitha ukazalo sie po raz pierwszy w 1776 roku Niemal od razu zostalo uznane za dzielo fundamentalne dla zrozumienia ekonomii i stanowi podstawe mysli wolnorynkowej W swej dowcipnej ksiazce PJ ORourke pokazuje dlaczego mysl Smitha wciaz zachowuje aktualnosc i dlaczego to co dzis oczywiste uchodzilo kiedys za rewolucyjne PJ ORourke jest autorem trzynastu bestsellerow w tym Eat the Rich Give War a Chance CEO of the SOFA Regularnie pisuje do Atlantic Monthly