The Pleasures Of Counting

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 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.

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.

Best-selling author Jerry Pallotta’s latest counting book is for the youngest readers to devour. Covering familiar North American berries like blueberries and strawberries, as well as lesser-known ones such as mul-berries and salmonberries, this fruity board book combines evocative adjectives with berry names, numbers, and colors in a sweet and simple way. Joy Newton’s botanical illustrations bring a vintage farm-stand feel to each page. Berries are a healthy finger food toddlers are familiar with. Learning their names and the numbers from one to ten is sure to delight.

How should one choose the best restaurant to eat in? Can one really make money at gambling? Or predict the future? Naive Decision Making presents the mathematical basis for making decisions where the outcome may be uncertain or the interests of others have to taken into consideration. Professor Körner takes the reader on an enjoyable journey through many aspects of mathematical decision making, with pithy observations, anecdotes and quotations. Topics include probability, statistics, Arrow's theorem, Game Theory and Nash equilibrium. Readers will also gain a great deal of insight into mathematics in general and the role it can play within society. Intended for those with elementary calculus, this book is ideal as a supplementary text for undergraduate courses in probability, game theory and decision making. Engaging and intriguing, it will also appeal to all those of a mathematical mind. To aid understanding, many exercises are included, with solutions available online.

The acclaimed author of What's Worth Knowing reveals the truth about aging: Old age often offers a richer, better, and more self-assured life than youth. From our earliest lives, we are told that our youth will be the best time of our lives-that the energy and vitality of youth are the most important qualities a person can possess, and that everything that comes after will be a sad decline. But in reality, says Wendy Lustbader, youth is not the golden era it is often made out to be. For many, it is a time riddled with anxiety, angst, confusion, and the torture of uncertainty. Conversely, the media often feeds us a vision of growing older as a journey of defeat and diminishment. They are dead wrong. As Lustbader counters, "Life gets better as we get older, on all levels except the physical." Life Gets Better is not a precious or whimsical tome on the quirky wisdom of the elderly. Lustbader-who has worked for several decades as a social worker specializing in aging issues-conducted firsthand research with aging and elderly people in all walks of life, and she found that they overwhelmingly spoke of the mental and emotional richness they have drawn from aging. Lustbader discovered that rather than experiencing a decline from youth, aging people were happier, more courageous, and more interested in being true to their inner selves than were young people. Life Gets Better examines through first-person stories, as well as Lustbader's own observations, how a lifetime of lessons learned can yield one of the most personally and emotionally fruitful periods of anyone's life. As an eighty-six-year-old who contributed her story to the book noted, "For me, being old is the reward for outlasting all the big and little problems that happen to all of us along life's pathway." The collected stories in Life Gets Better provide a hopeful corrective to the fear of aging aggressively instilled in us by the media. Don't dread the future: The best years of our lives just may be ahead.