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Imagining Numbers
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Download or read book Imagining Numbers written by Barry Mazur and published by Penguin UK. This book was released on 2004-03-25 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book shows how the art of mathematical imagining is not as mysterious as it seems. Drawing on a variety of artistic resources the author reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.
Book Synopsis The Book of Numbers by : John H. Conway
Download or read book The Book of Numbers written by John H. Conway and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: "...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL
Book Synopsis Making Numbers Count by : Chip Heath
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.
Book Synopsis Mathematics as Sign by : Brian Rotman
Download or read book Mathematics as Sign written by Brian Rotman and published by Stanford University Press. This book was released on 2000 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Rotman argues that mathematics is a vast and unique man-made imagination machine controlled by writing. It addresses both aspects—mental and linguistic—of this machine. The essays in this volume offer an insight into Rotman's project, one that has been called "one of the most original and important recent contributions to the philosophy of mathematics."
Book Synopsis The Story Of Numbers by : Mallik Asok Kumar
Download or read book The Story Of Numbers written by Mallik Asok Kumar and published by #N/A. This book was released on 2017-07-27 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
Book Synopsis Really Big Numbers by : Richard Evan Schwartz
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 192 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.
Book Synopsis Imagining the Internet by : Janna Quitney Anderson
Download or read book Imagining the Internet written by Janna Quitney Anderson and published by Rowman & Littlefield Publishers. This book was released on 2005-07-21 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early 1990s, people predicted the death of privacy, an end to the current concept of 'property,' a paperless society, 500 channels of high-definition interactive television, world peace, and the extinction of the human race after a takeover engineered by intelligent machines. Imagining the Internet zeroes in on predictions about the Internet's future and revisits past predictions—and how they turned out. It gives the history of communications in a nutshell, illustrating the serious impact of pervasive networks and how they will change our lives over the next century.
Book Synopsis Negative Math by : Alberto A. Martínez
Download or read book Negative Math written by Alberto A. Martínez and published by Princeton University Press. This book was released on 2006 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores controversies in the history of numbers, especially the so-called negative and ''impossible'' numbers. This book uses history, puzzles, and lively debates to demonstrate how it is possible to devise new artificial systems of mathematical rules. It contends that departures from traditional rules can even be the basis for new applications.
Book Synopsis Imagining Heaven in the Middle Ages by : Jan S. Emerson
Download or read book Imagining Heaven in the Middle Ages written by Jan S. Emerson and published by Routledge. This book was released on 2014-04-08 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis Mathematics and the Imagination by : Edward Kasner
Download or read book Mathematics and the Imagination written by Edward Kasner and published by Courier Corporation. This book was released on 2013-04-22 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.
Book Synopsis Is That a Big Number? by : Andrew Elliott
Download or read book Is That a Big Number? written by Andrew Elliott and published by Oxford University Press. This book was released on 2018-06-28 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impressive statistics are thrown at us every day - the cost of health care; the size of an earthquake; the distance to the nearest star; the number of giraffes in the world. We know all these numbers are important - some more than others - and it's vaguely unsettling when we don't really have a clear sense of how remarkable or how ordinary they are. How do we work out what these figures actually mean? Are they significant, should we be worried, or excited, or impressed? How big is big, how small is small? With this entertaining and engaging book, help is at hand. Andrew Elliott gives us the tips and tools to make sense of numbers, to get a sense of proportion, to decipher what matters. It is a celebration of a numerate way of understanding the world. It shows how number skills help us to understand the everyday world close at hand, and how the same skills can be stretched to demystify the bigger numbers that we find in the wider contexts of science, politics, and the universe. Entertaining, full of practical examples, and memorable concepts, Is That A Big Number? renews our relationship with figures. If numbers are the musical notes with which the symphony of the universe is written, and you're struggling to hear the tune, then this is the book to get you humming again.
Book Synopsis Enchantress of Numbers by : Jennifer Chiaverini
Download or read book Enchantress of Numbers written by Jennifer Chiaverini and published by Penguin. This book was released on 2018-11-27 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Cherished Reader, Should you come upon Enchantress of Numbers by Jennifer Chiaverini...consider yourself quite fortunate indeed....Chiaverini makes a convincing case that Ada Byron King is a woman worth celebrating.”—USA Today The New York Times bestselling author of Mrs. Lincoln's Dressmaker and Switchboard Soldiers illuminates the life of Ada Byron King, Countess of Lovelace—Lord Byron's daughter and the world's first computer programmer. The only legitimate child of Lord Byron, the most brilliant, revered, and scandalous of the Romantic poets, Ada was destined for fame long before her birth. But her mathematician mother, estranged from Ada's infamous and destructively passionate father, is determined to save her only child from her perilous Byron heritage. Banishing fairy tales and make-believe from the nursery, Ada’s mother provides her daughter with a rigorous education grounded in mathematics and science. Any troubling spark of imagination—or worse yet, passion or poetry—is promptly extinguished. Or so her mother believes. When Ada is introduced into London society as a highly eligible young heiress, she at last discovers the intellectual and social circles she has craved all her life. Little does she realize how her exciting new friendship with Charles Babbage—the brilliant, charming, and occasionally curmudgeonly inventor of an extraordinary machine, the Difference Engine—will define her destiny. Enchantress of Numbers unveils the passions, dreams, and insatiable thirst for knowledge of a largely unheralded pioneer in computing—a young woman who stepped out of her father’s shadow to achieve her own laurels and champion the new technology that would shape the future.
Book Synopsis e: The Story of a Number by : Eli Maor
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.
Book Synopsis Thinking In Numbers by : Daniel Tammet
Download or read book Thinking In Numbers written by Daniel Tammet and published by Hachette UK. This book was released on 2013-07-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The irresistibly engaging book that "enlarges one's wonder at Tammet's mind and his all-embracing vision of the world as grounded in numbers" (Oliver Sacks, MD). Thinking in Numbers is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired variously by the complexity of snowflakes, Anne Boleyn's eleven fingers, and his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. His provocative and inspiring new book will change the way you think about math and fire your imagination to view the world with fresh eyes.
Book Synopsis Mathematical Imagining by : Christof Weber
Download or read book Mathematical Imagining written by Christof Weber and published by Taylor & Francis. This book was released on 2023-10-10 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine a plastic cup lying on the floor. Give the cup a nudge so that it begins to roll. What does the path it takes look like? So begins the journey that Christof Weber takes you on in Mathematical Imagining: A Routine for Secondary Classrooms . Along the way, he makes the case that the ability to imagine, manipulate, and explain mathematical images and situations is fundamental to all mathematics and particularly important to higher level study. Most importantly, drawing on years of experiments in his own classroom, Weber shows that mathematical imagining is a skill that can be taught efficiently and effectively. Mathematical Imagining describes an original routine that gives students space and time to imagine a mathematical situation and then revise, discuss, and act upon the mental images they create. You can use this creative routine to glimpse into your students' thinking and discover teaching opportunities, while empowering them to create their own mathematics.Inside you’ll find the following: An introduction to the routine including the rationale behind it, facilitation guidance, and classroom examples Modifications to implement the routine in your classroom, even with varying time constraints 37 exercises broken into four categories: constructions, problem-solving, reasoning, and paradoxes Discussions of the mathematics involved in each exercise, including possible follow-up questions Instructions on how to create your own exercises beyond the book This one-of-a-kind resource is for secondary teachers looking to inspire student creativity and curiosity, deepen their own subject matter knowledge and pedagogical content knowledge, and invite all students to access the power of their own mathematical imaginations.
Book Synopsis Imagining Security by : Jennifer Wood
Download or read book Imagining Security written by Jennifer Wood and published by Routledge. This book was released on 2013-01-11 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the ways in which the problem of security is thought about and promoted by a range of actors and agencies in the public, private and nongovernmental sectors. The authors are concerned not simply with the influence of risk-based thinking in the area of security, but seek rather to map the mentalities and practices of security found in a variety of sectors, and to understand the ways in which thinking from these sectors influence one another. Their particular concern is to understand the drivers of innovation in the governance of security, the conditions that make innovation possible and the ways in which innovation is imagined and realised by actors from a wide range of sectors. The book has two key themes: first, governance is now no longer simply shaped by thinking within the state sphere, for thinking originating within the business and community spheres now also shapes governance, and influence one another. Secondly, these developments have implications for the future of democratic values as assumptions about the traditional role of government are increasingly challenged. The first five chapters of the book explore what has happened to the governance of security, through an analysis of the drivers, conditions and processes of innovation in the context of particular empirical developments. Particular reference is made here to 'waves of change' in security within the Ontario Provincial Police in Canada. In the final chapter the authors examine the implications of 'nodal governance' for democratic values, and then suggest normative directions for deepening democracy in these new circumstances.
Book Synopsis New Foundations for Classical Mechanics by : D. Hestenes
Download or read book New Foundations for Classical Mechanics written by D. Hestenes and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: (revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
