A fun, non-technical and wonderfully engaging guide to that most powerful and mysterious of mathematical concepts: infinity.in this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by humankind: infinity. In this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by humankind: infinity. Written in clear, simple language and aimed at a lay audience, this book also offers some strategies that will allow readers to try their ability at solving truly fascinating mathematical problems. Infinity is a deeply counter-intuitive concept that has inspired many great thinkers. In this book we will meet many sages, both familiar and unfamiliar: Zeno and Pythagoras, Georg Cantor and Bertrand Russell, Sofia Kovalevskaya and Emmy Noether, al-Khwarizmi and Euclid, Sophie Germain and Srinivasa Ramanujan.The world of infinity is inhabited by many paradoxes, and so is this book: Zeno paradoxes, Hilbert's "Infinity Hotel", Achilles and the gods paradox, the paradox of heaven and hell, the Ross-Littlewood paradox involving tennis balls, the Galileo paradox and many more. Aimed at the curious but non-technical reader, this book refrains from using any fearsome mathematical symbols. It uses only the most basic operations of mathematics: adding, subtracting, multiplication, division, powers and roots – that is all. But that doesn’t mean that a bit of deep thinking won’t be necessary and rewarding. Writing with humour and lightness of touch, Haim Shapira banishes the chalky pallor of the schoolroom and offers instead a truly thrilling intellectual journey. Fasten your seatbelt – we are going to Infinity, and beyond!

'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman

When I looked up, I shivered. How many stars were in the sky? A million? A billion? Maybe the number was as big as infinity. I started to feel very, very small. How could I even think about something as big as infinity? Uma can't help feeling small when she peers up at the night sky. She begins to wonder about infinity. Is infinity a number that grows forever? Is it an endless racetrack? Could infinity be in an ice cream cone? Uma soon finds that the ways to think about this big idea may just be . . . infinite.

Rocket tells the story of how sixteen remarkable business leaders created great brands. Leslie Wexner tells you how he turned a two-store chain into a $6.5 billion worldwide brand called Victoria Secret, and Howard Schultz shares how he took his passion for a little coffee shop in Seattle and grew it into a 22,000-store chain, just to name two. Every story is connected to a “how-to” lesson, and by the end, you’ll have what you need to turn your best customers into apostles, cravers, and brand ambassadors. A must-have guide for everyone who wants to grow their business faster than a competitor, this authentic, vibrant, and engaging book brings you the latest practical techniques for knowing your customers’ desires and behaviors in order to deliver intimately rewarding experiences every time they shop—including knowing what they need before they do. Included is a “self critique” to identify where you are currently before you transform your career and company by mastering how to: • Create a demand-space map and predict how big a share of a demand space you can win with the proper mix of emotional and functional benefits satisfying the attributes of that space • Determine a strategic direction for where to place investment bets, identify which brands are best suited to win, and which are most responsive to investment • Deliver all the core benefits of a particular demand space in your product—from packaging, shelving, pricing, and promotion to message development, store operations, delivery, and employee engagement • Maintain a long-term vision to continuously quantify and modify for ongoing improvement, while using your successes to convert more champions along the way With Rocket, you can rise into a cycle of renewal, energy, and power that can launch startups to phenomenal success and turn around the fate of multinational corporations.

"No other researcher has been able to transmit to the rest of us the true meaning and impact of near-death phenomena for the planet." --Bruce Greyson, MD, bestselling author of After "A major contribution that offers a wealth of case materials together with balanced and insightful commentary." --Raymond A. Moody, PhD, bestselling author of Life After Life While providing many remarkable accounts of near-death experiences (NDEs), Lessons from the Light is much more than an inspiring collection of NDEs. In clear language, the practical lessons for living and dying are to be found from the study of these experiences. Written by one of the foremost authorities on NDEs, Lessons from the Light is a book for those looking to gain knowledge and wisdom to enhance their own lives by incorporating the insights stemming from what many people have come to believe is the ultimate spiritual experience. Although Lessons from the Light recounts many moving stories of NDEs, it is not just another book filled with inspiring testimonies--it includes helpful guidance and practical exercises concerning how readers can make use of this knowledge to live with greater self-insight, self-compassion and concern for others, as well as be better prepared for death, dying, and bereavement. Readers can easily apply what they have learned to their own lives and absorb and internalize these lessons from the Light in such a way as to lead to deep personal and spiritual transformation. This edition replaces the previous edition (ISBN 978-1-930491-11-3) and contains a new postscript by the author.

This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, the nature of part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason.

Harvey Penick's life in golf began when he started caddying at the Austin, (Texas), Country Club at age eight. Eighty-one years later he is still there, still dispensing wisdom to pros and beginners alike. His stature in the golf world is reflected in the remarkable array of champions he's worked with, both men and women, including U.S. Open champion and golf's leading money winner Tom Kite, Masters champion Ben Crenshaw, and LPGA Hall of Famers Mickey Wright, Betsy Rawls, and Kathy Whitworth. It is not for nothing that the Teacher of the Year Award given by the Golf Teachers Association is called the Harvey Penick Award. Now, after sixty years of keeping notes on the things he's seen and learned and on the golfing greats he's taught, Penick is finally letting his Little Red Book (named for the red notebook he's always kept) be seen by the golf world. His simple, direct, practical wisdom pares away all the hypertechnical jargon that's grown up around the golf swing, and lets all golfers, whatever their level, play their best. He avoids negative words; when Tom Kite asked him if he should "choke down" on the club for a particular shot, Harvey told him to "grip down" instead, to keep the word "choke" from entering his mind. He advises golfers to have dinner with people who are good putters; their confidence may rub off, and it's certainly better than listening to bad putters complain. And he shows why, if you've got a bad grip, the last thing you want is a good swing. Throughout, Penick's love of golf and, more importantly, his love of teaching shine through. He gets as much pleasure from watching a beginner get the ball in the air for the first time as he does when one of his students wins the U.S. Open. Harvey Penick's Little Red Book is an instant classic, a book to rank with Ben Hogan's Modern Fundamentals of Golf and Tommy Armour's How to Play Your Best Golf All the Time.