What is the connection between the outbreak of cholera in Victorian Soho, the Battle of the Atlantic, African Eve and the design of anchors? One answer is that they are all examples chosen by Dr Tom Körner to show how a little mathematics can shed light on the world around us, and deepen our understanding of it. Dr Körner, an experienced author, describes a variety of topics which continue to interest professional mathematicians, like him. He does this using relatively simple terms and ideas, yet confronting difficulties (which are often the starting point for new discoveries) and avoiding condescension. If you have ever wondered what it is that mathematicians do, and how they go about it, then read on. If you are a mathematician wanting to explain to others how you spend your working days (and nights), then seek inspiration here.

Does the early bird really catch the worm, or end up healthy, wealthy, and wise? Can some people really exist on just a few hours' sleep a night? Does everybody dream? Do fish dream? How did people cope before alarm clocks and caffeine? And is anybody getting enough sleep? Even though we will devote a third of our lives to sleep, we still know remarkably little about its origins and purpose. Paul Martin's Counting Sheep answers these questions and more in this illuminating work of popular science. Even the wonders of yawning, the perils of sleepwalking, and the strange ubiquity of nocturnal erections are explained in full. To sleep, to dream: Counting Sheep reflects the centrality of these activities to our lives and can help readers respect, understand, and extract more pleasure from that delicious time when they're lost to the world.

A girl gathers natural objects to decorate her sandcastle, saving some of them to take back home from the beach.

This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.

A clear, entertaining development of the number systems required in any course of modern mathematics.

A short introduction perfect for any 16- to 18-year-old, about to begin studies in mathematics.

A New York Times Bestseller In the tradition of Out of My Mind, Wonder, and Mockingbird, this is an intensely moving middle grade novel about being an outsider, coping with loss, and discovering the true meaning of family. Willow Chance is a twelve-year-old genius, obsessed with nature and diagnosing medical conditions, who finds it comforting to count by 7s. It has never been easy for her to connect with anyone other than her adoptive parents, but that hasn’t kept her from leading a quietly happy life . . . until now. Suddenly Willow’s world is tragically changed when her parents both die in a car crash, leaving her alone in a baffling world. The triumph of this book is that it is not a tragedy. This extraordinarily odd, but extraordinarily endearing, girl manages to push through her grief. Her journey to find a fascinatingly diverse and fully believable surrogate family is a joy and a revelation to read. * “Willow's story is one of renewal, and her journey of rebuilding the ties that unite people as a family will stay in readers' hearts long after the last page.”—School Library Journal starred review * “A graceful, meaningful tale featuring a cast of charming, well-rounded characters who learn sweet—but never cloying—lessons about resourcefulness, community, and true resilience in the face of loss.”—Booklist starred review * “What sets this novel apart from the average orphan-finds-a-home book is its lack of sentimentality, its truly multicultural cast (Willow describes herself as a “person of color”; Mai and Quang-ha are of mixed Vietnamese, African American, and Mexican ancestry), and its tone. . . . Poignant.”—The Horn Book starred review "In achingly beautiful prose, Holly Goldberg Sloan has written a delightful tale of transformation that’s a celebration of life in all its wondrous, hilarious and confounding glory. Counting by 7s is a triumph."—Maria Semple, author of Where’d You Go, Bernadette