eBook downloads, eBook resources & eBook authors
Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.
"A companion volume to the author's "Dictionary of Curious and Interesting Numbers", which focuses on arithmetic and number theory. The entries in this book cover curves, topology, tilings and all branches of plane and three-dimensional geometry, from Euclid to fractals."
"Of immense interest to those who enjoy recreational maths and puzzles . . . even the most hardened puzzler will find something new." -- Mathematical Gazette Puzzles are as old as history itself, following an arc like that of technology: centuries of slow progress, followed by rapid expansion in the 1800s, and an explosion of activity in the twentieth century. This collection by bestselling author David Wells, a Cambridge math scholar and teacher, follows that pattern. Its first part is devoted to puzzles from ancient Egypt and Babylon and subsequent sources, featuring those devised by Lewis Carroll, Eduard Lucas, Sam Loyd, and other master puzzlers of the Victorian era. The second part demonstrates the tremendous variety of twentieth-century puzzles. More than 560 puzzles are included, from the "mind sharpeners" of a medieval monk to the eighteenth-century Ladies' Diary, the Hindu Bhakshali manuscript, and riddles and popular rhymes. None requires any mathematics beyond the most elementary algebra and geometry -- and few require even that. Complete answers appear at the end.
A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more
This remarkable and wide-ranging book is an inventory of symbols and the symbolic imagination. The editors and their fifteen contributors are drawn from a variety of scholarly backgrounds—including anthropology, ethnology, psychotherapy and art history. This diversity of approach is responsible for the book's unique character, a reflection of the multiplicity of symbols and signs and the phenomenal range of possible interpretations they offer. This book draws together folklore, literary and artistic sources, and focuses on the symbolic dimension of every colour, number, sound, gesture, expression or character trait that has benefitted from symbolic interpretation. The conscious and unconscious minds are explored, desire and dreams are treated alongside the known and the chronicled. Extraordinary in its range and eclecticism, this dictionary was originally published in French as the Dictionnaire des Symboles, and it is regarded as the standard work on the subject.
Read Ammon Shea's blogs and other content on the Penguin Community. A surprising, lively, and rich history of that ubiquitous doorstop that most of us take for granted. Ammon Shea is not your typical thirtysomething book enthusiast. After reading the Oxford English Dictionary from cover to cover (and living to write about it in Reading the OED), what classic, familiar, but little-read book would he turn to next? Yes, the phone book. With his signature combination of humor, curiosity, and passion for combing the dustbins of history, Shea offers readers a guided tour into the surprising, strange, and often hilarious history of the humble phone book. From the first printed version in 1878 (it had fifty listings and no numbers) to the phone book's role in presidential elections, Supreme Court rulings, Senate filibusters, abstract art, subversive poetry, circus sideshows, criminal investigations, mental-health diagnoses, and much more, this surprising volume reveals a rich and colorful story that has never been told-until now.
Explores the patterns, properties, and problems associated with numbers, looking at topics from basic arithmetic to algebraic equations, and includes over 100 brainteasers and their solutions.
