Stanley and Little Woo are learning about numbers in this gorgeous little board book. Join them as they count together from one to ten, counting everything they need for an extra special party!

Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Following an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects counted by them in the form of exercises with solutions. The reader can try solving the exercises or simply browse through them. Some 68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The book ends with a history of Catalan numbers by Igor Pak and a glossary of key terms. Whether your interest in mathematics is recreation or research, you will find plenty of fascinating and stimulating facts here.

Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.

Richard Stanley's work in combinatorics revolutionized and reshaped the subject. His lectures, papers, and books inspired a generation of researchers. In this volume, these researchers explain how Stanley's vision and insights influenced and guided their own perspectives on the subject. As a valuable bonus, this book contains a collection of Stanley's short comments on each of his papers. This book may serve as an introduction to several different threads of ongoing research in combinatorics as well as giving historical perspective.

This groundbreaking classic is now available in a special anniversary edition with bonus content. Winner of the Newbery Medal as well as the National Book Award, HOLES is a New York Times bestseller and one of the strongest-selling middle-grade books to ever hit shelves! Stanley Yelnats is under a curse. A curse that began with his no-good-dirty-rotten-pig-stealing-great-great-grandfather and has since followed generations of Yelnatses. Now Stanley has been unjustly sent to a boys' detention center, Camp Green Lake, where the boys build character by spending all day, every day digging holes exactly five feet wide and five feet deep. There is no lake at Camp Green Lake. But there are an awful lot of holes. It doesn't take long for Stanley to realize there's more than character improvement going on at Camp Green Lake. The boys are digging holes because the warden is looking for something. But what could be buried under a dried-up lake? Stanley tries to dig up the truth in this inventive and darkly humorous tale of crime and punishment —and redemption. Special anniversary edition bonus content includes: A New Note From the Author!; "Ten Things You May Not Know About HOLES" by Louis Sachar; and more!

Henry Morton Stanley was a cruel imperialist - a bad man of Africa. Or so we think: but as Tim Jeal brilliantly shows, the reality of Stanley's life is yet more extraordinary. Few people know of his dazzling trans-Africa journey, a heart-breaking epic of human endurance which solved virtually every one of the continent's remaining geographical puzzles. With new documentary evidence, Jeal explores the very nature of exploration and reappraises a reputation, in a way that is both moving and truly majestic.