In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

    

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

    Soon Gen Xers will be the only cohort of Americans who remember life as it was lived before the arrival of the Internet. They are, as Hennessey dubs them, “the last adult generation,” the sole remaining link to a time when childhood was still a bit dangerous but produced adults who were naturally resilient. More than a decade into the social media revolution, the American public is waking up to the idea that the tech sector’s intentions might not be as pure as advertised. The mountains of money being made off our browsing habits and purchase histories are used to fund ever-more extravagant and utopian projects that, by their very natures, will corrode the foundations of free society, leaving us all helpless and digitally enslaved to an elite crew of ultra-sophisticated tech geniuses. But it’s not too late to turn the tide. There’s still time for Gen X to write its own future. A spirited defense of free speech, eye contact, and the virtues of patience, Zero Hour for Gen X is a cultural history of the last 35 years, an analysis of the current social and historical moment, and a generational call to arms.

    

    Professor Resnick presents a fundamental and unified development of the subject with unusually clear discussions of the aspects that usually trouble beginners. He includes, for example, a section on the common sense of relativity. His presentation is lively and interspersed with historical, philosophical and special topics (such as the twin paradox) that will arouse and hold the reader's interest. You'll find many unique features that help you grasp the material, such as worked-out examples, summary tables, thought questions and a wealth of excellent problems. The emphasis throughout the book is physical. The experimental background, experimental confirmation of predictions, and the physical interpretation of principles are stressed. The book treats relativistic kinematics, relativistic dynamics, and relativity and electromagnetism and contains special appendices on the geometric representation of space-time and on general relativity. Its organization permits an instructor to vary the length and depth of his treatment and to use the book either with or following classical physics. These features make it an ideal companion for introductory course

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.

    His claim that “harnessing the forces of nature was the only worthwhile scientific endeavor" both impressed and enraged the scientific community. Eventually, his peers could no longer dismiss his eccentricities and began to view him as a crackpot — a potentially dangerous one. Although Tesla’s work was a major factor in the success of the second Industrial Revolution, he died alone, impoverished, and largely shunned by the scientific community that once hailed him a genius. Beset by visions, without a wife or children, Nikola Tesla’s brilliant mind changed the world, even though at the time of his death he passed unnoticed into obscurity. Some of the topics covered in this book include: Childhood Education and Early Career Patents and Politics The Eccentric Genius Tesla’s Coil and the Niagara Contract Influential Friends and the Lure of Flight The Wardenclyffe Tower 1914 and Beyond And much more! Scroll to the top and select the "BUY NOW" button for instant download

    Children are given a well-rounded understanding of this beautiful fish: its anatomy, feeding habits and behavior. The following Sharks are featured:* The swift Black Tip Reef Shark* The dangerous Bull Shark* The resourceful Hammerhead Shark* The feared Great White Shark* The stealthy Lemon Shark* The fanged Nurse Shark* The gentle Whale Shark* The deceptive Wobbegong

    After a brief tale of her own introduction to the paranormal, the author shares funny, poignant, and insightful words straight from the spirit people themselves. Together, the living and the dead seek forgiveness, solve family mysteries, find closure, settle scores, and come together for birthdays, anniversaries, and graduations. Quoting directly from her readings and séances, Priscilla reports the spirit perspective on mental illness, suicide, religion, and even the afterlife itself. For those readers interested in developing their own spirit communication skills, the last section of the book offers meditations and exercises used by the author herself, both personally and with her students. "It Will All Make Sense When You’re Dead" is chock-full of simple and entertaining wisdom, showing us how to live for today, with light hearts and kindness.

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    She knew instantly that her decision to work in general practice was the ‘biggest and worst mistake of her life’. Fortunately, however, this did not deter her from continuing in general practice, and this fascinating memoir (spanning half a century) is testament to her resilience and professionalism, as well as her pragmatic and charismatic personality. She shares real stories about real people in this intriguing book. Some stories are truly heart-breaking and will have you reaching for the tissues (such as the times when she has lost patients, and encountered and supported abused children and rape victims). But it isn’t all serious. There are lots of light-hearted and heart-warming moments too, such as the stories about Jessie-dog – her bodyguard when she made home visits, and the time when she helped a large (and desperately in need) family to get rehoused, and her time as a country GP. She also recalls with honesty and candidness, the prejudice and unimaginable pressure she had to contend with, as a young female GP in the 1960s. As well as a plethora of fascinating stories, experiences and case studies, this book also gives us, as 21st Century readers, a glimpse into the rapid changes in general practice and the NHS in general. Whether you’re in general practice, or you’re a medical professional, or you have a penchant for all kinds of autobiographies/memoirs, you will find this a thought-provoking and captivating book that’s impossible to put down. Take a peek at the ‘Look Inside’ feature now and be prepared to be instantly intrigued.

    Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.

    Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

    Fields Cookies... What backward messages on records are really trying to tell you... Frank Sinatra's real age... Why you can't counterfeit a lottery ticket... Barbra Streisand's blue movie... The other Boy Scout rituals... Ingmar Bergman's soap commercials... The formula for Play-Doh... and more.