The Art of the Infinite: The Pleasures of Mathematics
Robert M. Kaplan - 1980
The Times called it elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf and The Philadelphia Inquirer praised it as absolutely scintillating. In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the Republic of Numbers, where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. Less than All, wrote William Blake, cannot satisfy Man. The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.
Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin
Lawrence Weinstein - 2008
More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible assumptions and elementary arithmetic.Lawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones--and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.
American Women Didn't Get Fat in the 1950s
Averyl Hill - 2013
If you were fat your doc said: "You eat too much." Calorie consumption hit an all-time low. A 25” waist was a clothing size 10. High fructose corn syrup consumed: None.Today: Women of all ages are, on average, overweight. Obesity is now a “disease.” Calorie consumption is at an all-time high. A 25” waist is closer to a clothing size “zero." High fructose corn syrup consumed: 76% of corn sweeteners.Is it really true that American women didn’t get fat in the 1950s? Detailed gender-specific data wasn’t published during the 50s, but an early 1960s government sponsored survey revealed that women aged 20 - 29 were, on average, a little over thirty-four pounds lighter than women in the same age bracket today! Women aged 30 - 39 were about thirty pounds lighter! It's true that women are taller today than the 50s, but not enough to explain the gain. In 1960 the average American woman was 63.1." Today she is 63.8."What did women know or practice back then that kept them immune from an obesity epidemic? Could it be a matter of simply not consuming high fructose corn syrup or fast food? Not so fast. The root of the problem is far more expansive!In this ebook you will be given access to many of the 50s slimming secrets women knew. It reveals pre-BMI medical metrics for healthy weight and eating which were far more stringent and based upon medical studies instead of comparing people to a norm. Also included are vintage US government food recommendations and an examination of the psychological climate and marketing practices to women in the 50s. You’ll find suggestions for integrating “outdated” healthy practices and attitudes into your diet to combat and replace the toxic practices and processed foods prevalent today often mistaken for “progress.” This heavily researched ebook contains over seventy linked citations and scans of vintage source materials."Diet" literally means "the kinds of food that a person, animal, or community habitually eats," and by applying the 1950s diet to her own life author Averyl Hill lost sixteen pounds and four inches around her waist and has kept it off years later. She didn’t join a gym or spend money on branded, pre-packaged diet foods or pills, nor did she start wearing a string of pearls and heels while dusting her home. Going backwards can mean forward thinking!Please note that this book does not contain recipes, nor is it a specific, prescribed diet plan. It gives you tools to help facilitate healthy choices about how you eat, move and think about food, weight-loss and overall fitness. Unlike fad weight loss diets today that haven't made us any slimmer, the 1950s diet worked for millions of American women-- a decade of hard evidence is hard to dispute-- and we can learn to adopt it again today!
The Heart of Mathematics: An Invitation to Effective Thinking
Edward B. Burger - 1999
In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.
The Joy of Mathematics: Discovering Mathematics All Around You
Theoni Pappas - 1986
Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the real world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century.THE JOY OF MATHEMATICS is designed to be opened at random...it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best.
Success as a Real Estate Agent for Dummies
Dirk Zeller - 2006
Whether you are looking to rev up your real estate business, deciding whether to specialize in commercial or residential real estate, or just interested in refining specific skills, this book is for you. This no-nonsense guide shows you the fun and easy way to become a successful real estate agent. It provides expert advice on acquiring the skills needed to excel and the respect and recognition you'll gain through making sales and generating profit. Soon you'll have all the tools you need to:Prospect your way to listings and sales Build a referral-based clientele Work with expired and FSBO listings Plan and host a successful open house Present and close listing contracts Market yourself and your properties online and in print Negotiate contracts and avoid derailment Stake your competitive position Achieve excellent relationships with clients Spend less time to earn more money This guide features tips and tricks for working with buyers, must-haves for a successful real estate agent, and common pitfalls that can be avoided. Also included is a list of Web sites for real estate agents that are valuable resources for success. With Success as a Real Estate Agent For Dummies, you'll discover how to acquire key skills and get on track for a successful career!
Low Slow: Master the Art of Barbecue in 5 Easy Lessons
Gary Wiviott - 2009
Surrender all of your notions about barbecue. Forget everything you've ever learned about cooking with charcoal and fire. It is all wrong. Get it right with the "Five Easy Lessons" program, which includes over 130 recipes and step-by-step instructions for setting up and cooking low and slow on a Weber Smokey Mountain, an offset smoker, or a kettle grill. This program is guided by a singular philosophy: Keep It Simple, Stupid. Do exactly as Gary says, don't even think about opening the lid before it's time, and you will learn:What gear you do and, more importantly, don't needExactly how to start and maintain a proper fire (without lighter fluid)All about marinades, brines, and rubsTo use your senses and trust your instincts (instead of thermometers)How to make delicious, delicious barbecue The perfect how-to guide for beginner and expert alike, Low & Slow will take your barbecue skills to the next level.
104 Number Theory Problems: From the Training of the USA IMO Team
Titu Andreescu - 2006
Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
How Numbers Work: Discover the Strange and Beautiful World of Mathematics (New Scientist Instant Expert)
New Scientist - 2018
No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.
The Divine Proportion
Ernie Hart - 1970
Poetry, patterns like Pascal's triangle, philosophy, psychology, music, and dozens of simple mathematical figures are enlisted to show that the "divine proportion" or "golden ratio" is a feature of geometry and analysis which awakes answering echoes in the human psyche. When we judge a work of art aesthetically satisfying, according to his formulation, we are making it conform to a pattern whose outline is laid down in simple geometrical figures; and it is the analysis of these figures which forms the core of Professor Huntley's book.For the philosopher, scientist, poet, art historian, music listener, artist, as well as the general reader who wants to understand more about the fascinating properties of numbers, this is a beautifully written, exciting account of the search for a naturally manifested aesthetic that has occupied man since he first asked the question "why?""This is a delightful book to read. . . . It wanders here and there through some of the most attractive byways of simple mathematics, returning always to the oddities and pleasures of the golden section. This is a browser's book — a happy, untidy traveling or bedside book for those who know how to enjoy the charm of numbers and shapes." — Dr. J. Bronowski, The Salk Institute.
Shay – Any Given Saturday: : The Autobiography
Shay Given - 2017
He has played in World Cups and FA Cup finals; shared a dressing room with football greats like Roy Keane, Alan Shearer and Robbie Keane and worked under celebrated managers like Kenny Dalglish, Bobby Robson and Martin O’Neill. But Shay has had to show courage and strength of mind to get where he wanted in life. At four years old, he cruelly lost his mother to cancer at the age of just 41. Mum Agnes’s dying wish was that Dad Seamus would keep the family together. Seamus kept his word and the Given clan watched with pride as Shay forged a record-breaking career in the sport he loved. From Donegal to Saipan, Glasgow to Wembley and Tyneside to Paris, it’s been some journey. Shay has seen it all. Glorious highs and desperate lows. Dressing room wind-ups and team-bonding punch-ups. Brutal injuries and crippling self-doubt. Along the way, he has made so many friends. When one of his closest pals, Gary Speed, died suddenly in 2011, he was devastated. He played on, doing the only thing he knew to get him through the pain – pulling on a shirt and a pair of gloves. Shay loves football – for him, nothing can beat the buzz of a Saturday afternoon or the thrill of a big match night under lights. But he has never lost touch with the fans who make the game what it is. Entertaining, opinionated and inspirational, his long-awaited autobiography ANY GIVEN SATURDAY features a stellar cast of famous football names from the past 25 years. It tugs at the heart strings, bubbles with banter and lets slip secrets behind the big stories. This is a rare journey behind the scenes as told by one of our own.
The match : complete strangers, a miracle face transplant, two lives transformed
Susan Whitman Helfgot - 2010
But his heart was failing. After months of waiting for a heart transplant, he died during the operation. Hours after his death, his wife Susan was asked a shocking question: would she donate her husband’s face to a total stranger?The stranger was James Maki, the adopted son of parents who spent part of World War II in an internment camp for Japanese Americans. Rebelling against his stern father, a professor, by enlisting to serve in Vietnam, he returned home a broken man, addicted to drugs. One night he fell facedown onto the electrified third rail of a Boston subway track.A young Czech surgeon who was determined to make a better life on the other side of the Iron Curtain was on call when the ambulance brought Maki to the hospital. Although Dr. Bohdan Pomahac gave him little chance of survival, Maki battled back. He was sober and grateful for a second chance, but he became a recluse, a man without a face. His only hope was a controversial face transplant, and Dr. Pomahac made it happen.In The Match, Susan Whitman Helfgot captures decades of drama and history, taking us from Warsaw to Japan, from New York to Hollywood. Through wars and immigration, poverty and persecution, from a medieval cadaver dissection to a stunning seventeen-hour face transplant, she weaves together the story of people forever intertwined—a triumphant legacy of hope.
The Weekend That Changed Wall Street: An Eyewitness Account
Maria Bartiromo - 2010
During a single historic weekend (September 12-14, 2008) the fate of Lehman Brothers was sealed, Merrill Lynch barely survived, and AIG became a ward of the federal government. Top CNBC anchor Maria Bartiromo spent the entire weekend taking frantic phone calls from the most powerful players on Wall Street and in Washington, as they toiled to keep the economy from complete collapse. Those CEOs and dozens of other sources gave Bartiromo behind-the-scenes details unavailable to other members of the media, of the crisis and its aftermath. Now she draws on her high-level network to provide an eyewitness account of the biggest events of the financial crisis including at length interviews with former treasury secretary Henry Paulson, former AIG chairman Hank Greenberg, former Merrill Lynch CEO John Thain, and JP Morgan CEO Jamie Dimon, among many others. Writing with both authority and dramatic flair, Bartiromo weaves a thrilling narrative that will make news. She also tackles the big questions: how did an unmatched period of market euphoria and growth turn sour, catapulting the economy into a dangerous slide? And in the long run, how will the near-catastrophe really change Wall Street?
The Grapes of Math: How Life Reflects Numbers and Numbers Reflect Life
Alex Bellos - 2014
He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.
The Theoretical Minimum: What You Need to Know to Start Doing Physics
Leonard Susskind - 2013
In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.