The Mathematics That Power Our World

Author : Joseph Khoury,Gilles Lamothe
Publisher : World Scientific
Page : 204 pages
File Size : 47,7 Mb
Release : 2016-05-12
Category : Mathematics
ISBN : 9789814730860

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The Mathematics That Power Our World by Joseph Khoury,Gilles Lamothe Pdf

The Mathematics That Power Our World: How Is It Made? is an attempt to unveil the hidden mathematics behind the functioning of many of the devices we use on a daily basis. For the past years, discussions on the best approach in teaching and learning mathematics have shown how much the world is divided on this issue. The one reality we seem to agree on globally is the fact that our new generation is lacking interest and passion for the subject. One has the impression that the vast majority of young students finishing high school or in their early post-secondary studies are more and more divided into two main groups when it comes to the perception of mathematics. The first group looks at mathematics as a pure academic subject with little connection to the real world. The second group considers mathematics as a set of tools that a computer can be programmed to use and thus, a basic knowledge of the subject is sufficient. This book serves as a middle ground between these two views. Many of the elegant and seemingly theoretical concepts of mathematics are linked to state-of-the-art technologies. The topics of the book are selected carefully to make that link more relevant. They include: digital calculators, basics of data compression and the Huffman coding, the JPEG standard for data compression, the GPS system studied both from the receiver and the satellite ends, image processing and face recognition. This book is a great resource for mathematics educators in high schools, colleges and universities who want to engage their students in advanced readings that go beyond the classroom discussions. It is also a solid foundation for anyone thinking of pursuing a career in science or engineering. All efforts were made so that the exposition of each topic is as clear and self-contained as possible and thus, appealing to anyone trying to broaden his mathematical horizons. Contents: What Makes a Calculator Calculate?Basics of Data Compression, Prefix-Free Codes and Huffman CodesThe JPEG Standard Global Positioning System (GPS)Image Processing and Face Recognition Readership: Advanced high school students, undergraduates and teachers interested in the mathemtics that drive many modern technologies.

Author : Joseph Khoury,Gilles Lamothe
Publisher : Unknown
Page : 185 pages
File Size : 40,7 Mb
Release : 2016
Category : SCIENCE
ISBN : 9814730858

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The Mathematics that Power Our World by Joseph Khoury,Gilles Lamothe Pdf

"The Mathematics That Power Our World: How Is It Made? is an attempt to unveil the hidden mathematics behind the functioning of many of the devices we use on a daily basis. For the past years, discussions on the best approach in teaching and learning mathematics have shown how much the world is divided on this issue. The one reality we seem to agree on globally is the fact that our new generation is lacking interest and passion for the subject. One has the impression that the vast majority of young students finishing high school or in their early post-secondary studies are more and more divided into two main groups when it comes to the perception of mathematics. The first group looks at mathematics as a pure academic subject with little connection to the real world. The second group considers mathematics as a set of tools that a computer can be programmed to use and thus, a basic knowledge of the subject is sufficient. This book serves as a middle ground between these two views. Many of the elegant and seemingly theoretical concepts of mathematics are linked to state-of-the-art technologies. The topics of the book are selected carefully to make that link more relevant. They include: digital calculators, basics of data compression and the Huffman coding, the JPEG standard for data compression, the GPS system studied both from the receiver and the satellite ends, image processing and face recognition. "This book is a great resource for mathematics educators in high schools, colleges and universities who want to engage their students in advanced readings that go beyond the classroom discussions. It is also a solid foundation for anyone thinking of pursuing a career in science or engineering. All efforts were made so that the exposition of each topic is as clear and self-contained as possible and thus, appealing to anyone trying to broaden his mathematical horizons. Contents: What Makes a Calculator Calculate?; Basics of Data Compression, Prefix-Free Codes and Huffman Codes; The JPEG Standard Global Positioning System (GPS)Image Processing and Face Recognition; Readership: Advanced high school students, undergraduates and teachers interested in the mathematics that drive many modern technologies. Key Features: The book strikes a delicate balance between relevant common applications and a reasonable dose of mathematics. The mathematical proofs included are written in a way to assist students make a transition to higher level courses where tedious and detailed proofs are required. The reader starts every chapter with a clear expectation on the level of mathematics involved; Chapters are made as independent as possible to give the reader the flexibility to start at any point of the book."--

Author : Timothy Revell
Publisher : Aurum
Page : 224 pages
File Size : 45,7 Mb
Release : 2016-09-15
Category : Mathematics
ISBN : 9781781316214

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Man vs Maths by Timothy Revell Pdf

Could we solve queuing with an equation? How do algorithms control our news? What is the secret behind encryption codes? Mathematics is inescapable. Wherever you go, whatever you do, however you live your life, mathematics plays a role. From controlling a city’s traffic to finding love, spending money online to building a skyscraper, the mathematics at play in our world is fascinating. Yet despite its ubiquity, for many of us, how the maths of today really works remains complex. Timothy Revell distils these complexities in this essential guide to modern-day mathematics. Along the way we discover how social media trends work, why the universe has a favourite number and what this means for you. Man vs Maths shows you how understanding a little more mathematics can help improve your life.

Author : D. Stein
Publisher : Harper Collins
Page : 320 pages
File Size : 43,8 Mb
Release : 2009-03-17
Category : Education
ISBN : 9780061828683

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How Math Explains the World by D. Stein Pdf

In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number p , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

Author : Jordan Ellenberg
Publisher : Penguin Press
Page : 480 pages
File Size : 40,6 Mb
Release : 2014-05-29
Category : Mathematics
ISBN : 9781594205224

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How Not to Be Wrong by Jordan Ellenberg Pdf

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

Author : George Gilder
Publisher : Regnery Publishing
Page : 370 pages
File Size : 52,9 Mb
Release : 2013-06-10
Category : Political Science
ISBN : 9781621570271

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Knowledge and Power by George Gilder Pdf

Ronald Reagan’s most-quoted living author—George Gilder—is back with an all-new paradigm-shifting theory of capitalism that will upturn conventional wisdom, just when our economy desperately needs a new direction. America’s struggling economy needs a better philosophy than the college student's lament: "I can't be out of money, I still have checks in my checkbook!" We’ve tried a government spending spree, and we’ve learned it doesn’t work. Now is the time to rededicate our country to the pursuit of free market capitalism, before we’re buried under a mound of debt and unfunded entitlements. But how do we navigate between government spending that's too big to sustain and financial institutions that are "too big to fail?" In Knowledge and Power, George Gilder proposes a bold new theory on how capitalism produces wealth and how our economy can regain its vitality and its growth. Gilder breaks away from the supply-side model of economics to present a new economic paradigm: the epic conflict between the knowledge of entrepreneurs on one side, and the blunt power of government on the other. The knowledge of entrepreneurs, and their freedom to share and use that knowledge, are the sparks that light up the economy and set its gears in motion. The power of government to regulate, stifle, manipulate, subsidize or suppress knowledge and ideas is the inertia that slows those gears down, or keeps them from turning at all. One of the twentieth century’s defining economic minds has returned with a new philosophy to carry us into the twenty-first. Knowledge and Power is a must-read for fiscal conservatives, business owners, CEOs, investors, and anyone interested in propelling America’s economy to future success.

Author : World Book, Inc
Publisher : World Book
Page : 800 pages
File Size : 51,5 Mb
Release : 1990-05-01
Category : Mathematics
ISBN : 0716632241

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The World Book of Math Power by World Book, Inc Pdf

Provides a variety of math activities for children.

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 48,9 Mb
Release : 1996
Category : Mathematics
ISBN : OCLC:1391898313

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The World Book of Math Power by Anonim Pdf

Author : Dr. Michael Guillen
Publisher : Hachette Books
Page : 239 pages
File Size : 42,7 Mb
Release : 2012-06-05
Category : Mathematics
ISBN : 9781401304911

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Five Equations That Changed the World by Dr. Michael Guillen Pdf

A Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.

Author : Timothy Revell
Publisher : Aurum Press
Page : 0 pages
File Size : 43,7 Mb
Release : 2017-08-08
Category : Mathematics
ISBN : 1781316902

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Man vs Maths by Timothy Revell Pdf

Man vs Maths explains the complexities of the mathematics of modern life, showing how understanding a little more maths can improve your life and how to use it to your advantage. Plus along the way you'll discover how social media trends work, why the universe has a favourite number and what this means for you. Mathematics is inescapable. Wherever you go, whatever you do, however you live your life, mathematics plays an important role. From controlling a city’s traffic to finding love, spending money online to building a skyscraper, the mathematics at play in our world is fascinating. Yet despite its ubiquity, for many of us, how the maths of today really works remains complex. â??Mathematician Timothy Revell distills these complexities in this essential guide to modern-day mathematics, exploring questions such as; Could we solve queuing with an equation? How do algorithms control our news? What is the secret behind encryption codes?

Author : Matthew Lane
Publisher : Princeton University Press
Page : 290 pages
File Size : 54,8 Mb
Release : 2019-11-19
Category : Computers
ISBN : 9780691196381

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Power-Up by Matthew Lane Pdf

"Did you know that every time you pick up the controller to your PlayStation or Xbox, you are entering a game world steeped in mathematics? Power-Up reveals the hidden mathematics in many of today's most popular video games and explains why mathematical learning doesn't just happen in the classroom or from books--you're doing it without even realizing it when you play games on your cell phone. In this lively and entertaining book, Matthew Lane discusses how gamers are engaging with the traveling salesman problem when they play Assassin's Creed, why it is mathematically impossible for Mario to jump through the Mushroom Kingdom in Super Mario Bros., and how The Sims teaches us the mathematical costs of maintaining relationships. He looks at mathematical pursuit problems in classic games like Missile Command and Ms. Pac-Man, and how each time you play Tetris, you're grappling with one of the most famous unsolved problems in all of mathematics and computer science. Along the way, Lane discusses why Family Feud and Pictionary make for ho-hum video games, how realism in video games (or the lack of it) influences learning, what video games can teach us about the mathematics of voting, the mathematics of designing video games, and much more. Power-Up shows how the world of video games is an unexpectedly rich medium for learning about the beautiful mathematical ideas that touch all aspects of our lives--including our virtual ones."--Dust jacket.

Author : Zvi Artstein
Publisher : Prometheus Books
Page : 368 pages
File Size : 47,6 Mb
Release : 2014-09-02
Category : Mathematics
ISBN : 9781616145460

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Mathematics and the Real World by Zvi Artstein Pdf

In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between mathematics and the real world from ancient times to the present. The author then describes some of the contemporary applications of mathematics—in probability theory, in the study of human behavior, and in combination with computers, which give mathematics unprecedented power. The author concludes with an insightful discussion of why mathematics, for most people, is so frustrating. He argues that the rigorous logical structure of math goes against the grain of our predisposed ways of thinking as shaped by evolution, presumably because the talent needed to cope with logical mathematics gave the human race as a whole no evolutionary advantage. With this in mind, he offers ways to overcome these innate impediments in the teaching of math.

Author : Mircea Pitici
Publisher : Princeton University Press
Page : 248 pages
File Size : 51,7 Mb
Release : 2017-10-31
Category : Mathematics
ISBN : 9781400888559

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The Best Writing on Mathematics 2017 by Mircea Pitici Pdf

The year's finest mathematics writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math’s highest prize—the Fields Medal—in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children’s receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

Author : Egan J Chernoff,Gladys Sterenberg
Publisher : IAP
Page : 503 pages
File Size : 51,9 Mb
Release : 2014-06-01
Category : Education
ISBN : 9781623967024

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Selected writings from the Journal of the Mathematics Council of the Alberta Teachers' Association by Egan J Chernoff,Gladys Sterenberg Pdf

The teaching and learning of mathematics in Alberta - one of three Canadian provinces sharing a border with Montana - has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been delta-K: Journal of the Mathematics Council of the Alberta Teachers' Association. This volume, which presents ten memorable articles from each of the past five decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity to share this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematics education. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominent member of the Alberta mathematics education community. As a result, this monograph provides a historical account as well as a contemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as a resource for a variety of individuals, including teachers of mathematics, mathematics teacher educators, mathematics education researchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on the work of the Mathematics Council of the Alberta Teachers' Association.

Author : Kit Yates
Publisher : Simon and Schuster
Page : 288 pages
File Size : 55,9 Mb
Release : 2021-04-27
Category : MATHEMATICS
ISBN : 9781982111885

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The Math of Life and Death by Kit Yates Pdf

"Few of us really appreciate the full power of math--the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward. In this ... book, Kit Yates explores the true stories of life-changing events in which the application--or misapplication--of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice; and the unwitting victims of software glitches"--Publisher marketing.