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Two Millennia Of Mathematics
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Book Synopsis Two Millennia of Mathematics by : George M. Phillips
Download or read book Two Millennia of Mathematics written by George M. Phillips and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.
Book Synopsis Mathematics Education Across Time & Place by : Thomas O'Shea
Download or read book Mathematics Education Across Time & Place written by Thomas O'Shea and published by . This book was released on 2016 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Power in Numbers by : Talithia Williams
Download or read book Power in Numbers written by Talithia Williams and published by Quarto Publishing Group USA. This book was released on 2018-04-10 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: From rocket scientists to code breakers, “fascinating stories” of women who overcame obstacles, shattered stereotypes, and pursued their passion for math (Notices of the American Mathematical Society). With more than 200 photos and original interviews with several of the amazing women covered, Power in Numbers: The Rebel Women of Mathematics is a full-color volume that puts a spotlight on the influence of women on the development of mathematics over the last two millennia. Each biography reveals the life of a different female mathematician, from her childhood and early influences to the challenges she faced and the great achievements she made in spite of them. Learn how: After her father terminated her math lessons, Sofia Kovalevskaya snuck algebra books into her bed to read at night Emmy Noether became an invaluable resource to Albert Einstein while she was in the Navy Native American rocket scientist Mary Golda Ross developed designs for fighter jets and missiles in a top-secret unit Katherine Johnson’s life-or-death calculations at NASA meant that astronauts such as Alan Shepard and John Glenn made it home alive Shakuntala Devi multiplied massive numbers in her head so her family could eat at night Pamela Harris proved her school counselors wrong when they told her she would only succeed as a bilinguial secretary Carla Cotwright-Williams began her life in the dangerous streets of South-Central Los Angeles before skyrocketing to a powerful career with the Department of Defense in Washington, DC These women are a diverse group, but their stories have one thing in common: At some point on their journeys, someone believed in them—and made them think the impossible was perhaps not so impossible. “A quick read . . . full of dramatic stories and eye-catching illustrations.” —MAA Reviews “I found myself marveling at the personal anecdotes and quotes throughout the book.” —Notices of the American Mathematical Society
Book Synopsis Tales of Impossibility by : David S. Richeson
Download or read book Tales of Impossibility written by David S. Richeson and published by Princeton University Press. This book was released on 2021-11-02 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.
Book Synopsis Mathematics as an Educational Task by : Hans Freudenthal
Download or read book Mathematics as an Educational Task written by Hans Freudenthal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like preludes, prefaces are usually composed last. Putting them in the front of the book is a feeble reflection of what, in the style of mathe matics treatises and textbooks, I usually call thf didactical inversion: to be fit to print, the way to the result should be the inverse of the order in which it was found; in particular the key definitions, which were the finishing touch to the structure, are put at the front. For many years I have contrasted the didactical inversion with the thought-experiment. It is true that you should not communicate your mathematics to other people in the way it occurred to you, but rather as it could have occurred to you if you had known then what you know now, and as it would occur to the student if his learning process is being guided. This in fact is the gist of the lesson Socrates taught Meno's slave. The thought-experi ment tries to find out how a student could re-invent what he is expected to learn. I said about the preface that it is a feeble reflection of the didactical inversion. Indeed, it is not a constituent part of the book. It can even be torn out. Yet it is useful. Firstly, to the reviewer who then need not read the whole work, and secondly to the author himself, who like the composer gets an opportunity to review the Leitmotivs of the book.
Book Synopsis Chinese Mathematics in the Thirteenth Century by : Ulrich Libbrecht
Download or read book Chinese Mathematics in the Thirteenth Century written by Ulrich Libbrecht and published by Courier Corporation. This book was released on 2005-01-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the life and work of the thirteenth-century mathematician Ch'in, this fascinating book examines a range of mathematical issues that reflect Chinese life of a millennium ago. Its first part consists of four closely related studies of Ch'in and his work. The first study brings together what is known of the mathematician's life and of the history of his only extant work, the Shu-shu chiu-chang. Subsequent studies examine the entire range of mathematical techniques and problems found within Ch'in's book. The core of this book consists of an in-depth study of what modern mathematicians still refer to as the Chinese remainder theorem for the solution of indeterminate equations of the first degree. This was Ch'in's most original contribution to mathematics--so original that no one could correctly explain Ch'in's procedure until the early nineteenth century. This volume's concluding study unites information on artisanal, economic, administrative, and military affairs dispersed throughout Ch'in's writings, providing rare insights into thirteenth-century China.
Book Synopsis Heavenly Mathematics by : Glen Van Brummelen
Download or read book Heavenly Mathematics written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2017-04-04 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth."--Jacket.
Book Synopsis Mathematics, Substance and Surmise by : Ernest Davis
Download or read book Mathematics, Substance and Surmise written by Ernest Davis and published by Springer. This book was released on 2015-11-17 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay O’Halloran Alison Pease Steven Piantadosi Lance Rips Micah T. Ross Nathalie Sinclair John Stillwell Hellen Verran
Book Synopsis The Girl who Played with Fire by : Stieg Larsson
Download or read book The Girl who Played with Fire written by Stieg Larsson and published by Vintage. This book was released on 2010 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: When the reporters to a sex-trafficking exposé are murdered and computer hacker Lisbeth Salander is targeted as the killer, Mikael Blomkvist, the publisher of the exposé, investigates to clear Lisbeth's name.
Book Synopsis Mathematics as a Cultural System by : Raymond L. Wilder
Download or read book Mathematics as a Cultural System written by Raymond L. Wilder and published by Elsevier. This book was released on 2014-05-20 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as a Cultural System discusses the relationship between mathematics and culture. The book is comprised of eight chapters discussing topics that support the concept of mathematics as a cultural system. Chapter I deals with the nature of culture and cultural systems, while Chapter 2 provides examples of cultural patterns observable in the evolution of mechanics. Chapter III treats historical episodes as a laboratory for the illustration of patterns and forces that have been operative in cultural change. Chapter IV covers hereditary stress, and Chapter V discusses consolidation as a force and process. Chapter VI talks about the singularities in the evolution of mechanics, while Chapter 7 deals with the laws governing the evolution of mathematics. Chapter VIII tackles the role and future of mathematics. The book will be of great interest to readers who are curious about how mathematics relates to culture.
Book Synopsis Hey Doc! Does Speling [sic] Count? by : William W. Ward
Download or read book Hey Doc! Does Speling [sic] Count? written by William W. Ward and published by CCB Publishing. This book was released on 2008-10-17 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hey, Doc! Does Speling Count? is a humorous satire about the many failings of state universities in America. This book is for people who, like Professor Ward, enjoy laughing-those willing to poke fun at human behavior and traditional institutions. In particular, it is for those whose lives intersect American education. They wonder what's going on and why. "Hey, Doc!---" is for teachers, professors, education administrators, college graduates, business leaders, legislators, working professionals, serious college students, and self-sacrificing parents, whose monthly checks wind up paying for three-day weekend college football bashes. And, it is for Professor Ward's barber who wonders why his college-educated patrons have nothing more important on their minds than last weekend's football scores. As a university professor of thirty-one years, Dr. Ward has observed just about everything happening on campus-some of it is truly shocking. An idealistic reformer, he wanted to write a factual expose about university mismanagement. But, fearing massive retaliation "tell-all" authors attract, he shied away. Instead, he resorted to crafting his 5000 protest letters about university mismanagement with humor, satire, irony, and sarcasm. These letters became the genesis of this book. "Hey, Doc!---" provides a fresh look at the college scene, ridiculing students, professors, administrators, and union leaders, while lampooning much of what happens on the "State U." campus. When you are not laughing out loud with Professor Ward's special brand of humor, you will be shocked and dismayed to read his revelations of widespread university mismanagement. About the Author: A world expert in the biochemistry of GREEN FLUORESCENT PROTEIN, Dr. Ward has 120 professional publications to his credit and has taught hundreds of sections of college courses, freshman level to graduate level. His continuing professional education courses in biotechnology have attracted more than 1200 industrial scientists from all around the world. He has presented 50 platform talks at national and international meetings, addressing up to 500 attendees and he has run three international symposia on GFP. Dr. Ward has given keynote addresses to audiences in Cambridge, England, Pembrokshire, Wales, Asilomar, CA, Blacksburg, VA, and Greensboro NC. He has been filmed by ABC for a NYC news broadcast and has been interviewed on radio. Over the past 20 years, Dr. Ward has appeared as a tenor in a dozen community theater productions including four Gilbert and Sullivan operettas. Partnering with his multi-talented illustrator, Lori Baratta, he is working on four other satires, "Turn Right To Go Left," about New Jersey driving, "Snake Oil, Revisited," exposing over-the-counter quackery, "Why Do They Jog When They've Nothing That Jiggles," about the silly things people do, and "GW Bush, America's 44th Best President," a scathing expose of #43.
Book Synopsis Arguing with Numbers by : James Wynn
Download or read book Arguing with Numbers written by James Wynn and published by Penn State Press. This book was released on 2021-05-14 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: As discrete fields of inquiry, rhetoric and mathematics have long been considered antithetical to each other. That is, if mathematics explains or describes the phenomena it studies with certainty, persuasion is not needed. This volume calls into question the view that mathematics is free of rhetoric. Through nine studies of the intersections between these two disciplines, Arguing with Numbers shows that mathematics is in fact deeply rhetorical. Using rhetoric as a lens to analyze mathematically based arguments in public policy, political and economic theory, and even literature, the essays in this volume reveal how mathematics influences the values and beliefs with which we assess the world and make decisions and how our worldviews influence the kinds of mathematical instruments we construct and accept. In addition, contributors examine how concepts of rhetoric—such as analogy and visuality—have been employed in mathematical and scientific reasoning, including in the theorems of mathematical physicists and the geometrical diagramming of natural scientists. Challenging academic orthodoxy, these scholars reject a math-equals-truth reduction in favor of a more constructivist theory of mathematics as dynamic, evolving, and powerfully persuasive. By bringing these disparate lines of inquiry into conversation with one another, Arguing with Numbers provides inspiration to students, established scholars, and anyone inside or outside rhetorical studies who might be interested in exploring the intersections between the two disciplines. In addition to the editors, the contributors to this volume are Catherine Chaput, Crystal Broch Colombini, Nathan Crick, Michael Dreher, Jeanne Fahnestock, Andrew C. Jones, Joseph Little, and Edward Schiappa.
Book Synopsis Peirce: A Guide for the Perplexed by : Cornelis de Waal
Download or read book Peirce: A Guide for the Perplexed written by Cornelis de Waal and published by Bloomsbury Publishing. This book was released on 2013-01-03 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Sanders Peirce, the founder of pragmatism, is a hugely important and influential thinker in the history of American philosophy. His philosophical interests were broad and he made significant contributions in several different areas of thought. Moreover, his contributions are intimately connected and his philosophy designed to form a coherent and systematic whole. Peirce: A Guide for the Perplexed is a clear and thorough account of Peirce's life and thought, his major works and ideas, providing an ideal guide to this important and complex thinker. The book introduces all the key concepts and themes in Peirce's thought, exploring his contributions to logic, pragmatism, truth, semiotics and metaphysics and demonstrating how his ideas developed into a coherent system of thought. Geared towards the specific requirements of students who need to reach a sound understanding of Peirce's ideas, the book serves as a clear and concise introduction to his philosophy. This is the idea companion to study of this most influential and challenging of thinkers.
Book Synopsis What is Mathematics, Really? by : Reuben Hersh
Download or read book What is Mathematics, Really? written by Reuben Hersh and published by Oxford University Press, USA. This book was released on 1997 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tries to refine the philosophy of mathematics to reflect what mathematicians really do, and argues that mathematics must be understood in a social context.
Book Synopsis Shifting the Earth by : Arthur Mazer
Download or read book Shifting the Earth written by Arthur Mazer and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover how mathematics and science have propelled history From Ancient Greece to the Enlightenment and then on to modern times, Shifting the Earth: The Mathematical Quest to Understand the Motion of the Universe takes readers on a journey motivated by the desire to understand the universe and the motion of the heavens. The author presents a thought-provoking depiction of the sociopolitical environment in which some of the most prominent scientists in history lived and then provides a mathematical account of their contributions. From Eudoxus to Einstein, this fascinating book describes how, beginning in ancient times, pioneers in the sciences and mathematics have dramatically changed our vision of who we are as well as our place in the universe. Readers will discover how Ptolemy's geocentric model evolved into Kepler's heliocentric model, with Copernicus as the critical intermediary. The author explains how one scientific breakthrough set the stage for the next one, and he also places the scientists and their discoveries within the context of history, including: Archimedes, Apollonius, and the Punic Wars Ptolemy and the rise of Christianity Copernicus and the Renaissance Kepler and the Counter-Reformation Newton and the Enlightenment Einstein and the detonation of the atom bomb Each chapter presents the work of a single scientist or mathematician, building on the previous chapters to demonstrate the evolutionary process of discovery. Chapters begin with a narrative section and conclude with a mathematical presentation of one of the scientist's original works. Most of these mathematical presentations, including the section on Einstein's special relativity, are accessible using only basic mathematics; however, readers can skip the mathematical sections and still follow the evolution of science and mathematics. Shifting the Earth is an excellent book for anyone interested in the history of mathematics and how the quest to understand the motion of the heavens has influenced the broader history of humankind.
Book Synopsis Interdisciplinary Perspectives on Math Cognition by : Marcel Danesi
Download or read book Interdisciplinary Perspectives on Math Cognition written by Marcel Danesi and published by Springer Nature. This book was released on 2019-09-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.
Book Synopsis Famous Problems of Geometry and How to Solve Them by : Benjamin Bold
Download or read book Famous Problems of Geometry and How to Solve Them written by Benjamin Bold and published by Courier Corporation. This book was released on 2012-05-11 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
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