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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.
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.
A clear, entertaining development of the number systems required in any course of modern mathematics.
A girl gathers natural objects to decorate her sandcastle, saving some of them to take back home from the beach.
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.
"Children can learn to count from one to 10 in a berry appetizing way. This lovely counting book, reminiscent of old-fashioned botanical illustrations, introduces children to a variety of berries." -Kirkus Reviews 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.
Counting through the Day leads us gently from morning to night, counting everything from two sturdy feet to twelve dry sticks for the fire. The rhythmic verse and simple everyday pleasures both soothe and delight, making this the the perfect bedtime -- or anytime -- book.
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.