Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted.Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics.From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

    Hand argues that extraordinarily rare events are anything but. In fact, they’re commonplace. Not only that, we should all expect to experience a miracle roughly once every month.     But Hand is no believer in superstitions, prophecies, or the paranormal. His definition of “miracle” is thoroughly rational. No mystical or supernatural explanation is necessary to understand why someone is lucky enough to win the lottery twice, or is destined to be hit by lightning three times and still survive. All we need, Hand argues, is a firm grounding in a powerful set of laws: the laws of inevitability, of truly large numbers, of selection, of the probability lever, and of near enough.     Together, these constitute Hand’s groundbreaking Improbability Principle. And together, they explain why we should not be so surprised to bump into a friend in a foreign country, or to come across the same unfamiliar word four times in one day. Hand wrestles with seemingly less explicable questions as well: what the Bible and Shakespeare have in common, why financial crashes are par for the course, and why lightning does strike the same place (and the same person) twice. Along the way, he teaches us how to use the Improbability Principle in our own lives—including how to cash in at a casino and how to recognize when a medicine is truly effective.     An irresistible adventure into the laws behind “chance” moments and a trusty guide for understanding the world and universe we live in, The Improbability Principle will transform how you think about serendipity and luck, whether it’s in the world of business and finance or you’re merely sitting in your backyard, tossing a ball into the air and wondering where it will land.

    This guide, which can be used with any text or can stand alone, contains at the beginning of each chapter a list of key definitions, a summary of major concepts, step by step solutions to dozens of problems, and additional practice problems.

    Everything around us, including matter, is energy. A deep look into the mysteries of the subatomic world – the particles that make up the atom – provides answers to basic questions about how the universe works. To solve the future of mankind’s energy needs we need to understand the basic building blocks of the universe, including the atom and its parts. By exploring the subatomic world we’ll find more answers to our questions about time, forces like gravity and the matter that surrounds us. More importantly, we’ll find new ways to tap into the energy that exists around us to power our growing needs. In a new branch of particle physics, where tiny particles are thought of as energy waves, we find new answers that may help us in our quest to find alternative energy sources.

    Requiring only basic algebra and trigonometry, the new edition is notable for its readability, learning features and numerous full-color photos and illustrations. A systems approach is used to cover state-of-the-art communications technologies, to best reflect current industry practice. This edition contains greatly expanded and updated material on the Internet, cell phones, and wireless technologies. Practical skills like testing and troubleshooting are integrated throughout. A brand-new Laboratory & Activities Manual provides both hands-on experiments and a variety of other activities, reflecting the variety of skills now needed by technicians. A new Online Learning Center web site is available, with a wealth of learning resources for students. An Instructor Productivity Center CD-ROM features solutions to all problems, PowerPoint lessons, and ExamView test banks for each chapter.

    Sheila O'Flanagan has captivated millions of readers with novels like SUDDENLY SINGLE, IF YOU WERE ME and THINGS WE NEVER SAY, and in this delightful ebook she invites us in for a glimpse of her world...Pop over with a cup of tea (or a glass of wine!) and share all the exciting, scary (and slightly nutty) moments of life as a writer.Includes:IT'S NOT HOW YOU IMAGINE IT - A WRITER'S LIFEFAMILY PARTIES - AND HOW TO SURVIVE THEMA Q&A WITH THE AUTHORA SHORT STORYAnd the very special first chapter of MY MOTHER'S SECRETNOT A NOVEL - more a really good gossip!

    While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world inwhich we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields.This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics andengineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.

    Whether you're a student, a professional, or just curious about statistical analysis, Head First's brain-friendly formula helps you get a firm grasp of statistics so you can understand key points and actually use them. Learn to present data visually with charts and plots; discover the difference between taking the average with mean, median, and mode, and why it's important; learn how to calculate probability and expectation; and much more.Head First Statistics is ideal for high school and college students taking statistics and satisfies the requirements for passing the College Board's Advanced Placement (AP) Statistics Exam. With this book, you'll:Study the full range of topics covered in first-year statistics Tackle tough statistical concepts using Head First's dynamic, visually rich format proven to stimulate learning and help you retain knowledge Explore real-world scenarios, ranging from casino gambling to prescription drug testing, to bring statistical principles to life Discover how to measure spread, calculate odds through probability, and understand the normal, binomial, geometric, and Poisson distributions Conduct sampling, use correlation and regression, do hypothesis testing, perform chi square analysis, and moreBefore you know it, you'll not only have mastered statistics, you'll also see how they work in the real world. Head First Statistics will help you pass your statistics course, and give you a firm understanding of the subject so you can apply the knowledge throughout your life.

    Real rationality, of the sort studied by psychologists, social scientists, and mathematicians. The kind of rationality where you make good decisions, even when it's hard; where you reason well, even in the face of massive uncertainty; where you recognize and make full use of your fuzzy intuitions and emotions, rather than trying to discard them. In "Rationality: From AI to Zombies," Eliezer Yudkowsky explains the science underlying human irrationality with a mix of fables, argumentative essays, and personal vignettes. These eye-opening accounts of how the mind works (and how, all too often, it doesn't!) are then put to the test through some genuinely difficult puzzles: computer scientists' debates about the future of artificial intelligence (AI), physicists' debates about the relationship between the quantum and classical worlds, philosophers' debates about the metaphysics of zombies and the nature of morality, and many more. In the process, "Rationality: From AI to Zombies" delves into the human significance of correct reasoning more deeply than you'll find in any conventional textbook on cognitive science or philosophy of mind. A decision theorist and researcher at the Machine Intelligence Research Institute, Yudkowsky published earlier drafts of his writings to the websites Overcoming Bias and Less Wrong. "Rationality: From AI to Zombies" compiles six volumes of Yudkowsky's essays into a single electronic tome. Collectively, these sequences of linked essays serve as a rich and lively introduction to the science—and the art—of human rationality.

    D.E. Boyer takes us on a fascinating journey from the depths of despair to an amazing quantum world where anything is possible. First, we will learn how to defend ourselves against the chaos in our minds, then we will learn how to rekindle the magic in our hearts. Along the way, the wisdom of Socrates and the myth of Narcissus will transform the way we think and feel. Boyer then shows us how the military teaches their Navy Seal recruits how to handle their thoughts and feelings when someone is trying to kill them, so we can better handle our bosses, spouses, and children when it feels like they are trying to kill us. We will also get a glimpse of death through the eyes of someone who sees people die every day, giving us a much greater appreciation for life. With extremely amusing stories from her own life that touch on her dysfunctional upbringing and traumatizing career as an intensive care nurse, Boyer teaches us how to control our anxiety, boost our fragile self-esteem, and get into a state of flow so that we can spend most of our time loving life, rather than dreading it. She also gives us crucial health and nutrition tips so that we can live longer with our newfound peace and joy, and she shows us how to be more successful at life by being a better friend, spouse, and parent. With every step we take on this path, we'll find ourselves flirting with the hidden power of the mind, a power that often lies just beyond most people's reach. Only by mastering the basics of thinking and feeling can we gain access to this power. Once the door is unlocked, we will enter another dimension, a quantum world where time is irrelevant and the magic of our mind is waiting to be found.

    “I smoked in my twenties. I preferred red wine to sparkling water. I ate too much milk chocolate. I liked limericks. I know all the wrong I’ve done. But also, more than any of that, I’ve always longed for children.” Yet there she was: successful, social, mostly happy, and not a mother. Knowing that her chances of becoming pregnant naturally were quickly fading, Finn decided to gamble: she—like some 85,000 other women in the U.S. each year—would attempt in vitro fertilization. Almost three years later, she’s still trying, and in the process has become an accidental pioneer (and, at times, a guinea pig) in the ever-evolving science of IVF.“The Baby Chase” is a primer for anyone contemplating or undergoing IVF. More than that, it’s a story of longing, hope—and hormones—that will appeal to all parents, present and future.Finn’s engaging and honest account sheds light on a subject that few people who undergo IFV are willing to talk about: what happens when the science doesn’t work. “Usually, it’s only the people who come out on the other side, beaming, with a baby on one hip, who speak up about IVF,” she writes. “We never hear from those IVF has failed - it’s too crushing to talk about. We don’t hear from men and women in the middle of treatment, either.... People like me.”

    Along the tidal rivers of Malaysia, thousands of fireflies congregate and flash in unison; the moon spins in perfect resonance with its orbit around the earth; our hearts depend on the synchronous firing of ten thousand pacemaker cells. While the forces that synchronize the flashing of fireflies may seem to have nothing to do with our heart cells, there is in fact a deep connection. Synchrony is a science in its infancy, and Strogatz is a pioneer in this new frontier in which mathematicians and physicists attempt to pinpoint just how spontaneous order emerges from chaos. From underground caves in Texas where a French scientist spent six months alone tracking his sleep-wake cycle, to the home of a Dutch physicist who in 1665 discovered two of his pendulum clocks swinging in perfect time, this fascinating book spans disciplines, continents, and centuries. Engagingly written for readers of books such as Chaos and The Elegant Universe, Sync is a tour-de-force of nonfiction writing.

     This summary will let you taste on “how and what” Elon musk struggles to show his “SPARKS” in levels, Why his capable and legendary “like “ the famous Edison, Ford and Jobs. Based from the original book of Elon Musk: Tesla, SpaceX, and the Quest for a Fantastic Future, Ashlee Vance, tell you his experience in conversation with Musk. Important Lessons in this Elon Musk Summary • How to get the most out of people who work for you. • How to understand the value of making your own stuff, than buying them. • How to be brave in going out from your comfort zone. • How to treat challenges that comes your way as an opportunity. • How to believe in your dreams, and then make others believe after. • How to spot an opportunity when it comes your way. • How to keep yourself open to achieve bigger and greater things, and ultimately, your fullest potential. • How to dream big and then chase it. • How to give the value your family deserves. • How to appreciate the value of caring for Mother Earth and exercise ways to protect her and lessen the damage she has to take. • How to address issues and conflicts. • How to be persistent in your endeavors. More inside in this Biographies & Memoirs Summary • A brief yet accurate summary on the life of Elon Musk, detailed out in individual chapters. • Correct and concise synopsis of the various chapters of the book. • Silly and charming quotes that will tickle your fancy at the start of each chapters. • Personal and professional lessons from the life of Elon Musk on how to dare dream big and conquer your fears. Why you musy by this summary My team and I will let you sift through Elon’s captivating world in 29 minutes by reading this synopsis. “I like to be involved in things that change the world.” – Elon Reeve Musk. Surely, what Elon Musk had been doing in his companies have changed the world in so many ways. He has broken through the norm and boring routine practices to come up with technologies that has never before been seen by anyone. This summary show many things on how Elon Musk proved that he did changed the world. From his ancestors to his early life in Africa, to his great migrations, to the funding of his first start-up businesses and to his eventually discovery of his vision and mission in life, this book will satiate your curiosity as to who Musk really is and what he is capable of doing. PLEASE NOTE: This is a 29-minute summary of Elon Musk and NOT the original book. Bern Bolo "The Bathroom Genius”