Download or read book A Brief History of Numbers written by Leo Corry and published by OUP Oxford. This book was released on 2015-08-27 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.
Download or read book Finding the Story Behind the Numbers written by James Cox and published by Corwin Press. This book was released on 2006-12-20 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A wonderful tool! No educational jargon to weed through. The author meshes the real world with the ideal world and provides a concrete guide for principals to work with their faculty." —Marie Blum, Superintendent Canaseraga Central School, NY "Provides insight, evidence, humor, and most important, practical tools every educator and school leader can use. With the wisdom earned through decades of work in schools of every conceivable description, Cox guides us through the belief systems and data analysis, as well as the impact of demographic characteristics, teaching practices, and leadership decisions on student achievement." —Douglas Reeves, Chairman Center for Performance Assessment Focus on program quality—not just test scores—and watch student achievement climb! In this remarkable book, renowned educational consultant James Cox offers a smarter way to look at data, putting test scores in context, not in isolation. Rather than focusing on last year′s findings for school improvement, educators can learn how to evaluate the processes and practices that lead to those data by using a user-friendly, three-pronged framework for school improvement: teacher quality, program elements, and leadership. This concise, practical guide offers easy-to-use tools and techniques for schools and districts to evaluate their programs using both quantiative and qualitative data. School leaders will learn to look at data, program evaluation, and school improvement differently and discover how to effectively: Define a quality program Analyze what is and is not working Avoid "test score fatigue" Packed with worksheets, step-by-step instructions, and an extensive appendix of tools, this book provides readers with a complete improvement plan to put into action today!
Download or read book Republic of Numbers written by David Lindsay Roberts and published by Johns Hopkins University Press. This book was released on 2019-10-08 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating narrative history of math in America introduces readers to the diverse and vibrant people behind pivotal moments in the nation's mathematical maturation. Once upon a time in America, few knew or cared about math. In Republic of Numbers, David Lindsay Roberts tells the story of how all that changed, as America transformed into a powerhouse of mathematical thinkers. Covering more than 200 years of American history, Roberts recounts the life stories of twenty-three Americans integral to the evolution of mathematics in this country. Beginning with self-taught Salem mathematician Nathaniel Bowditch's unexpected breakthroughs in ocean navigation and closing with the astounding work Nobel laureate John Nash did on game theory, this book is meant to be read cover to cover. Revealing the marvelous ways in which America became mathematically sophisticated, the book introduces readers to Kelly Miller, the first black man to attend Johns Hopkins, who brilliantly melded mathematics and civil rights activism; Izaak Wirszup, a Polish immigrant who survived the Holocaust and proceeded to change the face of American mathematical education; Grace Hopper, the "Machine Whisperer," who pioneered computer programming; and many other relatively unknown but vital figures. As he brings American history and culture to life, Roberts also explains key mathematical concepts, from the method of least squares, propositional logic, quaternions, and the mean-value theorem to differential equations, non-Euclidean geometry, group theory, statistical mechanics, and Fourier analysis. Republic of Numbers will appeal to anyone who is interested in learning how mathematics has intertwined with American history.
Download or read book The Story Of Numbers written by Asok Kumar Mallik and published by #N/A. This book was released on 2017-07-27 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: '… this could make an ideal end-of-year prize for a high-school student who is fascinated by all aspects of number. The subsections provide ideas and opportunities for mathematical exploration. This book might also be deemed a suitable resource for first-year undergraduates in that, via independent study, it would allow such students to broaden their knowledge of various number-theoretic ideas. I would recommend it for the purposes given above.'The Mathematical GazetteThis book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers.Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of 'Chaos'. Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail.The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level.The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.
Download or read book Really Big Numbers written by Richard Evan Schwartz and published by American Mathematical Soc.. This book was released on 2014-06-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.
Download or read book e The Story of a Number written by Eli Maor and published by Princeton University Press. This book was released on 2011-10-12 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.
Download or read book The Magic Numbers of Dr Matrix written by Martin Gardner and published by American Mathematical Soc.. This book was released on 2020-10-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This volume is a collection of Irving Joshua Matrix columns published in the magazine from 1960-1980. There were several collections of Dr. Matrix, the first in 1967; they were revised as Gardner reconnected with the good doctor over the years. This is the 1985 Prometheus Books edition and contains all the Dr. Matrix columns from the magazine.
Download or read book Numbers and the Making of Us written by Caleb Everett and published by Harvard University Press. This book was released on 2017-03-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: “A fascinating book.” —James Ryerson, New York Times Book Review A Smithsonian Best Science Book of the Year Winner of the PROSE Award for Best Book in Language & Linguistics Carved into our past and woven into our present, numbers shape our perceptions of the world far more than we think. In this sweeping account of how the invention of numbers sparked a revolution in human thought and culture, Caleb Everett draws on new discoveries in psychology, anthropology, and linguistics to reveal the many things made possible by numbers, from the concept of time to writing, agriculture, and commerce. Numbers are a tool, like the wheel, developed and refined over millennia. They allow us to grasp quantities precisely, but recent research confirms that they are not innate—and without numbers, we could not fully grasp quantities greater than three. Everett considers the number systems that have developed in different societies as he shares insights from his fascinating work with indigenous Amazonians. “This is bold, heady stuff... The breadth of research Everett covers is impressive, and allows him to develop a narrative that is both global and compelling... Numbers is eye-opening, even eye-popping.” —New Scientist “A powerful and convincing case for Everett’s main thesis: that numbers are neither natural nor innate to humans.” —Wall Street Journal
Download or read book The Mystery of Numbers written by Annemarie Schimmel and published by Oxford University Press. This book was released on 1994-04-07 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why is the number seven lucky--even holy--in almost every culture? Why do we speak of the four corners of the earth? Why do cats have nine lives (except in Iran, where they have seven)? From literature to folklore to private superstitions, numbers play a conspicuous role in our daily lives. But in this fascinating book, Annemarie Schimmel shows that numbers have been filled with mystery and meaning since the earliest times, and across every society. In The Mystery of Numbers Annemarie Schimmel conducts an illuminating tour of the mysteries attributed to numbers over the centuries. She begins with an informative and often surprising introduction to the origins of number systems: pre-Roman Europeans, for example, may have had one based on twenty, not ten (as suggested by the English word "score" and the French word for 80, quatrevingt --four times twenty), while the Mayans had a system more sophisticated than our own. Schimmel also reveals how our fascination with numbers has led to a rich cross-fertilization of mathematical knowledge: "Arabic" numerals, for instance, were picked up by Europe from the Arabs, who had earlier adopted them from Indian sources ("Algorithm" and "algebra" are corruptions of the Arabic author and title names of a mathematical text prized in medieval Europe). But the heart of the book is an engrossing guide to the symbolism of numbers. Number symbolism, she shows, has deep roots in Western culture, from the philosophy of the Pythagoreans and Platonists, to the religious mysticism of the Cabala and the Islamic Brethren of Purity, to Kepler's belief that the laws of planetary motion should be mathematically elegant, to the unlucky thirteen. After exploring the sources of number symbolism, Schimmel examines individual numbers ranging from one to ten thousand, discussing the meanings they have had for Judaic, Christian, and Islamic traditions, with examples from Indian, Chinese, and Native American cultures as well. Two, for instance, has widely been seen as a number of contradiction and polarity, a number of discord and antithesis. And six, according to ancient and neo-platonic thinking, is the most perfect number because it is both the sum and the product of its parts (1+2+3=6 and 1x2x3=6). Using examples ranging from the Bible to the Mayans to Shakespeare, she shows how numbers have been considered feminine and masculine, holy and evil, lucky and unlucky. A highly respected scholar of Islamic culture, Annemarie Schimmel draws on her vast knowledge to paint a rich, cross-cultural portrait of the many meanings of numbers. Engaging and accessible, her account uncovers the roots of a phenomenon we all feel every Friday the thirteenth.
Download or read book Angel Numbers written by Kyle Gray and published by Hay House, Inc. This book was released on 2019-11-19 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: DISCOVER THE MEANING OF ANGEL NUMBER SEQUENCES AND NUMBER PATTERNS YOU SEE FROM BEST-SELLING ANGEL EXPERT AND AUTHOR OF RAISE YOUR VIBRATION, KYLE GRAY LEARN WHAT MESSAGES YOUR ANGELS HAVE FOR YOU WHEN YOU SEE NUMBERS FROM 0 THROUGH 999 LIKE 1:11, 2:22, AND 5:55 Are you seeing repeating numbers like 11:11 and 4:44 everywhere you turn? In Angel Numbers, world-renowned angel author Kyle Gray explains exactly what your angels and spirit guides are trying to tell you through repeated number sequences you see. In this day and age, our understanding of the cosmos is all calculated using numbers, so it’s no wonder that angels, the universe’s greatest divine messengers since the dawn of time, are using numbers to send us signs and messages from heaven. There’s a good chance you have seen number sequences appearing time and time again in your life—on license plates, purchase receipts, flight numbers and of course your phone—and these numbers aren’t just numbers, they’re angel numbers. They are angel messages and calls to action. Now that we are living in what can only be described as a digital age, angels are using the numbers we see on digital clocks, such as 11:11, 1:23, 21:12, 22:22, and 5:55 to help remind you of your higher truth. Some Example Angel Number Meanings: 12:12 You have the power to bring healing and light to the world. Notice how your intentions and actions are already doing just that. 4:44 Your guardian angels want you to know that they are with you. Your prayers are being heard loud and clear. Have faith. 1:23 You are moving up a step. All the challenges you have previously experienced are now being released. The angels of ascension are with you. “Kyle Gray is one of the world’s most incredibly gifted angel communicators. I have seen him work and he is authentic, intelligent, and deeply compassionate. I highly recommend him and all his creations!” – Colette Baron-Reid, international bestselling oracle expert Whenever you need guidance from your angels, simply ask. Angel Numbers is the perfect companion to refer to daily as a reminder that your angels are always listening and sending you loving messages to help with whatever you are going through.
Download or read book House Numbers written by Anton Tantner and published by Reaktion Books. This book was released on 2015-10-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of us hardly ever think about those ubiquitous things that hang—along with wreaths, light fixtures, and the occasional delivery attempt notice—at our front door: house numbers, our address. Taken for granted in the hustle and bustle of everyday life, house numbers have the crucial burden of organizing the places of the world—and they do it with zero fanfare or appreciation. In this unique illustrated history, Anton Tantner pays long-overdue tribute to those unassuming combinations of digits, showing that house numbers haven’t always existed, and that they have their own interesting history, one he spells out with vivid images from around the world. As Tantner shows, house numbers started their lives in a gray area between the military, tax authorities, and early police forces. With an engaging style, he moves from the introduction of house numbers in European towns in the eighteenth century, through the spread of the numbering system in the nineteenth century, and on into its global adoption today. He uncovers a contentious past, telling the stories of the many people who have resisted having their homes so systematically ordered. Along the way, his visual journey showcases a surprising diversity of house number displays, visiting historic addresses from the London house on Strand-on-the-Green that is numbered “Nought” to 1819 Ruston, Louisiana. The result is a story that will forever change the way you see a city, one that elevates the seemingly insignificant house number to an important place in the history of urban planning.
Download or read book Narrative and Numbers written by Aswath Damodaran and published by Columbia University Press. This book was released on 2017-01-10 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can a company that has never turned a profit have a multibillion dollar valuation? Why do some start-ups attract large investments while others do not? Aswath Damodaran, finance professor and experienced investor, argues that the power of story drives corporate value, adding substance to numbers and persuading even cautious investors to take risks. In business, there are the storytellers who spin compelling narratives and the number-crunchers who construct meaningful models and accounts. Both are essential to success, but only by combining the two, Damodaran argues, can a business deliver and sustain value. Through a range of case studies, Narrative and Numbers describes how storytellers can better incorporate and narrate numbers and how number-crunchers can calculate more imaginative models that withstand scrutiny. Damodaran considers Uber's debut and how narrative is key to understanding different valuations. He investigates why Twitter and Facebook were valued in the billions of dollars at their public offerings, and why one (Twitter) has stagnated while the other (Facebook) has grown. Damodaran also looks at more established business models such as Apple and Amazon to demonstrate how a company's history can both enrich and constrain its narrative. And through Vale, a global Brazil-based mining company, he shows the influence of external narrative, and how country, commodity, and currency can shape a company's story. Narrative and Numbers reveals the benefits, challenges, and pitfalls of weaving narratives around numbers and how one can best test a story's plausibility.
Download or read book What s Behind the Numbers A Guide to Exposing Financial Chicanery and Avoiding Huge Losses in Your Portfolio written by John Del Vecchio and published by McGraw Hill Professional. This book was released on 2012-08-17 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to detect any corporate sleight of hand—and gain the upper hand with smart investing Investing expert John Del Vecchio and “Motley Fool” Tom Jacobs offer a compelling arguement that the secret to stock-market success today isn’t finding the next Google or eBay, but avoiding the next AIG or Enron. To that end, they offer simple, clear techniques for detecting when and how legitimate companies make their numbers look better than they are. What's Behind the Numbers? offers seven rules for finding companies playing with—rather than by—the numbers and explains how to avoid losing money by determining exactly when a stock is about to head south. John Del Vecchio, CFA, serves as a Principal of Ranger Alternative Management and principal of Parabolix Research, Inc. Tom Jacobs is lead advisor for the Motley Fool Special Ops, a stock service where he manages a special situations and opportunistic portfolio. He is cofounder of Complete Growth Investor LLC.
Download or read book Making Numbers Count written by Chip Heath and published by Simon and Schuster. This book was released on 2022-01-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, practical, first-of-its-kind guide to communicating and understanding numbers and data—from bestselling business author Chip Heath. How much bigger is a billion than a million? Well, a million seconds is twelve days. A billion seconds is…thirty-two years. Understanding numbers is essential—but humans aren’t built to understand them. Until very recently, most languages had no words for numbers greater than five—anything from six to infinity was known as “lots.” While the numbers in our world have gotten increasingly complex, our brains are stuck in the past. How can we translate millions and billions and milliseconds and nanometers into things we can comprehend and use? Author Chip Heath has excelled at teaching others about making ideas stick and here, in Making Numbers Count, he outlines specific principles that reveal how to translate a number into our brain’s language. This book is filled with examples of extreme number makeovers, vivid before-and-after examples that take a dry number and present it in a way that people click in and say “Wow, now I get it!” You will learn principles such as: -SIMPLE PERSPECTIVE CUES: researchers at Microsoft found that adding one simple comparison sentence doubled how accurately users estimated statistics like population and area of countries. -VIVIDNESS: get perspective on the size of a nucleus by imagining a bee in a cathedral, or a pea in a racetrack, which are easier to envision than “1/100,000th of the size of an atom.” -CONVERT TO A PROCESS: capitalize on our intuitive sense of time (5 gigabytes of music storage turns into “2 months of commutes, without repeating a song”). -EMOTIONAL MEASURING STICKS: frame the number in a way that people already care about (“that medical protocol would save twice as many women as curing breast cancer”). Whether you’re interested in global problems like climate change, running a tech firm or a farm, or just explaining how many Cokes you’d have to drink if you burned calories like a hummingbird, this book will help math-lovers and math-haters alike translate the numbers that animate our world—allowing us to bring more data, more naturally, into decisions in our schools, our workplaces, and our society.
Download or read book Ponderables Mathematics written by Tom Jackson and published by 100 Ponderables. This book was released on 2017-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Includes foldout timeline with over 1,000 milestone facts" -- Cover.
Download or read book Angel Numbers written by Doreen Virtue and published by Hay House, Inc. This book was released on 2005-04-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Why do I always see the numbers 444 (or 111, 333, etc.) everywhere I go?" is one of the most frequently asked questions that Doreen Virtue receives at her worldwide workshops. In her best-selling book Healing with the Angels, Doreen included a chapter that briefly explained the meanings behind these number sequences, and many people have commented that they carry the book with them everywhere to help them interpret the numbers they see daily. By popular request from Doreen’s audience members, Angel Numbers has been created to serve as a pocket guide containing the angelic meanings of numbers from 0 to 999. Designed to fit into a purse or pocket for easy transport, Angel Numbers provides an interpretation of more complex number sequences than was previously available in Healing with the Angels. This new book focuses on numbers such as 123, 337, 885, and so on. Whether you’re seeing these numbers on license plates, telephone numbers, the clock, or other locations, they’re very real messages from the angels. Angel Numbers will help you instantly understand the meaning of these signs!
Download or read book An Imaginary Tale written by Paul Nahin and published by Princeton University Press. This book was released on 2010-02-22 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.
