""Heavenly Mathematics" is heavenly, is mathematics, and is so much more: history, astronomy, geography, and navigation replete with historical illustrations, elegant diagrams, and charming anecdotes. I haven't followed mathematical proofs with such delight in decades. If, as the author laments, spherical trigonometry was in danger of extinction, this book will give it a long-lasting reprieve."--David J. Helfand, president of the American Astronomical Society "This beautifully written book on an unusual topic, with its wealth of historical information about astronomy, navigation, and mathematics, is greatly to be welcomed."--Robin Wilson, president of the British Society for the History of Mathematics, author of "Four Colors Suffice: How the Map Problem Was Solved" "Written by the leading expert on the subject, this engaging book provides an in-depth historical introduction to spherical trigonometry. "Heavenly Mathematics" breathes new and interesting life into a topic that has been slumbering for far too long."--June Barrow-Green, associate editor of "The Princeton Companion to Mathematics" ""Heavenly Mathematics" is a very good book. It offers an interesting, accessible, and entertaining introduction to spherical trigonometry, which used to be a standard school topic but is now rarely studied. Interesting stories, engaging illustrations, and practical examples come together to enhance the reader's pleasure and understanding."--Fernando Q. Gouvea, Colby College "Van Brummelen provides not only a wonderful historical treatment of spherical trigonometry but also a modern one that shows how the ancient and medieval methods were replaced by newer and simpler means of problem solving. Many students will find this a fascinating and worthwhile subject."--Victor J. Katz, editor of "The Mathematics of Egypt, Mesopotamia, China, India, and Islam" "
A future of designer humans, smart machines, protean technology. Our dwindled descendents exiled to large space stations visit Cleansed Earth occasionally for gravity- and sensory-deprivation therapy. Human longevity, at last attained, ironically creates a Great Plague of Suicidal Despair, Disnovelling, born of the intruding longer prospect of bloody Nature and of the impersonal hurtling cosmic vastitudes. Centwen, a resurrected twentieth century archetype joined by elites and archetypes from other centuries, learns from his tour guides, the superbot, Prodigy, and its human creator, Great Psychodor, about a last-chance project to create not a mythical but a secular, dynamic, intelligent Heaven; and, if it succeeds, whether or not transformed humans and/or their intelligent machines can escape to it.
Victor J. Katz,Menso Folkerts,Barnabas Hughes,Roi Wagner,J. Lennart Berggren
Author: Victor J. Katz,Menso Folkerts,Barnabas Hughes,Roi Wagner,J. Lennart Berggren
Publisher: Princeton University Press
Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.
This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held at the University of Calgary in Alberta, Canada. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics, this meeting also honored the life and work of the logician and philosopher of mathematics Aldo Antonelli (1962-2015). The first four papers in this book are part of that remembrance and have a philosophical focus. Included in these are a discussion of Bolzano’s objections to Kant’s philosophy of mathematics and an examination of the influence of rhetorical and poetic aesthetics on the development of symbols in the 16th and 17th Centuries. The remaining papers deal with the history of mathematics and cover such subjects as Early schemes for polar ordinates in the work of L’Hôpital, based on lessons given to him by Bernoulli A method devised by Euler for determining if a number is a sum of two squares Playfair’s Axiom and what it reveals about the history of 19th-Century mathematics education The modern library classification system for mathematical subjects An exploration of various examples of sundials throughout Paris Written by leading scholars in the field, these papers are accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.
Yearbook 2012, Association of Mathematics Educators
Author: Berinderjeet Kaur,Tin Lam Toh
Publisher: World Scientific
This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms. Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.
Overwhelmed by God’s Word? Then read Understand Your Bible, and see how the historical, geographic, literary, and other contexts of scripture can clarify what you study. This brand-new guide from Barbour—following in the footsteps of the popular How to Study Your Bible and Know Your Bible—is designed to remove obstacles to understanding, giving you a greater desire for and success in daily Bible reading. Author John A. Beck, a 2010 ECPA Christian Book Award finalist, will show you solutions to the roadblocks that keep many people from regularly reading and understanding scripture.
1943 stellt das Langley Memorial Aeronautical Laboratory der NACA,die später zur NASA wird, erstmalig afroamerikanische Frauen ein. "Menschliche Rechner" - unter ihnen Dorothy Vaughan, die 1953 Vorgesetzte der brillanten afroamerikanischen Mathematikerin Katherine Johnson wird. Trotz Diskriminierung und Vorurteilen, treiben sie die Forschungen der NASA voran und Katherine Johnsons Berechnungen werden maßgeblich für den Erfolg der Apollo-Missionen. Dies ist ihre Geschichte. "Mit dieser unglaublich mitreißenden und vielschichtigen Erzählung zeigt Shetterly ihr Können. Die Geschichte begeistert in allen Aspekten." Booklist
This book reveals whether there is a temple in heaven and what its purpose is. Christ is revealed as our High Priest who intercedes for us. This is the heart of the Seventh-day Adventist message. Issues addressed include: Can we be sure there is a real temple in heaven? What is the purpose of this temple? When does the judgement start? Do we need to keep the Ten Commandments? Should we observe a literal Sabbath? And much more. The heavenly sanctuary reveals Jesus who ever intercedes for us (Hebrews 7:25). ""An extremely thorough, engaging presentation of the framework of Seventh-day Adventist beliefs."" - Kirkus Review
A most significant text that says something new about how student achievement is shaped. Richard Teese cuts across much of the recent talk about reform and allows us to think about the issues afresh. His findings will fascinate all. Professor Simon Marginson, Monash University This eye-opening study of Australian secondary education looks beyond clich s about 'excellence' to analyse the historically specific nature of the scholarly ideal against which successive generations of Australian students have been judged. Drawing on a wealth of strikingly original research, Richard Teese offers a penetrating analysis of Victorian secondary schooling in the half-century after World War Two. This was a era in which higher secondary schooling ceased to be the preserve of an elite and emerged as a system of mass education. It was also a period marked by successive waves of reform in curriculum and assessment. Yet, at the end of it all, Australians have been left with a sharply polarised system of schooling in which the most economically vulnerable populations of young people are also those most at risk of educational failure. This book asks the hard questions. Are our systems of secondary teaching -- and the expectations they place on students -- anachronistic in an age of mass education? How far is the curriculum itself responsible for the manifest disparities in achievement between sectors and regions, and between boys and girls? What has been the universities' role in the process of reform and counter-reform? And what have all these upheavals implied for the practice of teaching?
This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile Durkheim, Restivo develops the idea that mathematical concepts and ideas are collective representations, and that it is mathematical communities that create mathematics, not individual mathematicians. The implications of the sociology of mathematics, and especially of pure mathematics, for a sociology of mind are also explored. In general, the author's objective is to explore, conjecture, suggest, and stimulate in order to introduce the sociological perspective on mathematics, and to broaden and deepen the still narrow, shallow path that today carries the sociology of mathematics. This book will interest specialists in the philosophy, history, and sociology of mathematics, persons interested in mathematics education, students of science and society, and people interested in current developments in the social and cultural analysis of science and mathematics.
Author: Philip J. Davis,Reuben Hersh,Elena Anne Marchisotto
Publisher: Springer Science & Business Media
Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.