{"title":"The Mathematics of Encryption: An Elementary Introduction","authors":"Chris Arney","doi":"10.5860/choice.51-3888","DOIUrl":"https://doi.org/10.5860/choice.51-3888","url":null,"abstract":"","PeriodicalId":365977,"journal":{"name":"Mathematics and Computer Education","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124384634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Computing Universe: A Journey through a Revolution","authors":"Chris Arney","doi":"10.5860/choice.190147","DOIUrl":"https://doi.org/10.5860/choice.190147","url":null,"abstract":"","PeriodicalId":365977,"journal":{"name":"Mathematics and Computer Education","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131156643","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Mathematics of Infinity: A Guide to Great Ideas","authors":"J. Rauff","doi":"10.5860/choice.44-3329","DOIUrl":"https://doi.org/10.5860/choice.44-3329","url":null,"abstract":"","PeriodicalId":365977,"journal":{"name":"Mathematics and Computer Education","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116741714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Brief History of Cryptology and Cryptographic Algorithms","authors":"J. Rauff","doi":"10.5860/choice.51-4489","DOIUrl":"https://doi.org/10.5860/choice.51-4489","url":null,"abstract":"","PeriodicalId":365977,"journal":{"name":"Mathematics and Computer Education","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128847384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2012-10-01DOI: 10.1007/springerreference_78019
J. Rauff
{"title":"Mathematics in India","authors":"J. Rauff","doi":"10.1007/springerreference_78019","DOIUrl":"https://doi.org/10.1007/springerreference_78019","url":null,"abstract":"","PeriodicalId":365977,"journal":{"name":"Mathematics and Computer Education","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116255414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Networks: An Introduction","authors":"Chris Arney","doi":"10.5860/choice.48-3328","DOIUrl":"https://doi.org/10.5860/choice.48-3328","url":null,"abstract":"","PeriodicalId":365977,"journal":{"name":"Mathematics and Computer Education","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132341469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Como leer matemáticas históricas es una guía para la lectura y el análisis de textos matemáticos históricos. Enseña a examinarlos mediante el planteamiento de cuestiones relativas a su contenido, su autoría, su presentación material, su público y su relevancia. Y la exploración se hace mediante estudios de caso, partiendo cada uno de los cinco capítulos que componen la obra de un texto matemático distinto que se analiza bajo un determinado punto de vista: el contenido en el primer capítulo (¿Qué dice?), la autoría en el segundo (¿Cómo fue escrito?), la presentación material en el tercero (Papel y tinta), el público en el cuarto (Lectores), y la relevancia en el quinto (Qué leer y por qué). 248 RESEÑAS
{"title":"How to Read Historical Mathematics","authors":"J. Rauff","doi":"10.5860/choice.48-0329","DOIUrl":"https://doi.org/10.5860/choice.48-0329","url":null,"abstract":"Como leer matemáticas históricas es una guía para la lectura y el análisis de textos matemáticos históricos. Enseña a examinarlos mediante el planteamiento de cuestiones relativas a su contenido, su autoría, su presentación material, su público y su relevancia. Y la exploración se hace mediante estudios de caso, partiendo cada uno de los cinco capítulos que componen la obra de un texto matemático distinto que se analiza bajo un determinado punto de vista: el contenido en el primer capítulo (¿Qué dice?), la autoría en el segundo (¿Cómo fue escrito?), la presentación material en el tercero (Papel y tinta), el público en el cuarto (Lectores), y la relevancia en el quinto (Qué leer y por qué). 248 RESEÑAS","PeriodicalId":365977,"journal":{"name":"Mathematics and Computer Education","volume":"201 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132417484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
NUMERICAL NOTATION: A COMPARATIVE HISTORY by Stephen Chrisomalis Cambridge University Press, 2010, 486 pp. ISBN: 978-0-521-87818-0 Numerical Notation: A Comparative History is a new, comprehensive reference volume of all known numerical notation systems. Considered solely as a descriptive catalog of numerical systems, this work would be a "must-have" for any library. However, Chrisomalis has also combined this comprehensive catalog with an abundance of historical and cultural information and a new, well-considered classification system that make this work essential for all historians of mathematics and teachers of the history of mathematics. Chrisomalis classifies numerical systems along two axes that he calls "intraexponential" and "interexponential". The intraexponential axis looks at how the signs in a system are "combined within each power of the base" of the system. Here we find "cumulative" systems, in which many signs are added to achieve a total (e.g., Roman numerals); "ciphered" systems, in which a single sign represents the total (e.g., Greek alphabetic systems); and "multiplicative" systems, in which a unit sign is multiplied by a power sign to achieve the total (e.g., traditional Chinese). The interexponential axis categorizes the systems according to the way in which the values of the signs are combined to construct the entire numerical phrase. Here we have two types, "additive" and "positional". Roman numerals are additive, whereas Babylonian cuneiform is positional. Thus, we may classify numerical systems into one of five types: cumulative-additive (Roman numerals), cumulative-positional (Babylonian cuneiform), ciphered-additive (Greek alphabetic), ciphered-positional (Khmer), and multiplicative-additive (traditional Chinese). The sixth type, multiplicative-positional, is logically excluded. Having defined his categories and set down his criteria for historical relationships between systems, Chrisomalis presents detailed expositions of the world's numerical systems. The next eight chapters address, in turn, hieroglyphic systems (those descended from Egyptian hieroglyphs), Levantine systems (those descended from Phoenician and Aramaic), Italic systems (descended from Etruscan), alphabetic systems (descended from Greek alphabetic systems), South Asian systems (descended from Brahmi), Mesopotamian systems (descended from proto-cuneiform), East Asian systems (descended from Shang numerals), and Mesoamerican systems (descended from bar and dot systems). …
{"title":"Numerical Notation: A Comparative History","authors":"J. Rauff","doi":"10.5860/choice.47-6829","DOIUrl":"https://doi.org/10.5860/choice.47-6829","url":null,"abstract":"NUMERICAL NOTATION: A COMPARATIVE HISTORY by Stephen Chrisomalis Cambridge University Press, 2010, 486 pp. ISBN: 978-0-521-87818-0 Numerical Notation: A Comparative History is a new, comprehensive reference volume of all known numerical notation systems. Considered solely as a descriptive catalog of numerical systems, this work would be a \"must-have\" for any library. However, Chrisomalis has also combined this comprehensive catalog with an abundance of historical and cultural information and a new, well-considered classification system that make this work essential for all historians of mathematics and teachers of the history of mathematics. Chrisomalis classifies numerical systems along two axes that he calls \"intraexponential\" and \"interexponential\". The intraexponential axis looks at how the signs in a system are \"combined within each power of the base\" of the system. Here we find \"cumulative\" systems, in which many signs are added to achieve a total (e.g., Roman numerals); \"ciphered\" systems, in which a single sign represents the total (e.g., Greek alphabetic systems); and \"multiplicative\" systems, in which a unit sign is multiplied by a power sign to achieve the total (e.g., traditional Chinese). The interexponential axis categorizes the systems according to the way in which the values of the signs are combined to construct the entire numerical phrase. Here we have two types, \"additive\" and \"positional\". Roman numerals are additive, whereas Babylonian cuneiform is positional. Thus, we may classify numerical systems into one of five types: cumulative-additive (Roman numerals), cumulative-positional (Babylonian cuneiform), ciphered-additive (Greek alphabetic), ciphered-positional (Khmer), and multiplicative-additive (traditional Chinese). The sixth type, multiplicative-positional, is logically excluded. Having defined his categories and set down his criteria for historical relationships between systems, Chrisomalis presents detailed expositions of the world's numerical systems. The next eight chapters address, in turn, hieroglyphic systems (those descended from Egyptian hieroglyphs), Levantine systems (those descended from Phoenician and Aramaic), Italic systems (descended from Etruscan), alphabetic systems (descended from Greek alphabetic systems), South Asian systems (descended from Brahmi), Mesopotamian systems (descended from proto-cuneiform), East Asian systems (descended from Shang numerals), and Mesoamerican systems (descended from bar and dot systems). …","PeriodicalId":365977,"journal":{"name":"Mathematics and Computer Education","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115724497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
PHYSICS FOR FUTURE PRESIDENTS: THE SCIENCE BEHIND THE HEADLINES. by Richard A. Muller Norton and Company, New York, 2008, 380 pp. ISBN: 978-0-393-33711 I agree with the author's premise that science is important in politics, and that politicians must know some science in order to be effective leaders in government. While the title of the book specifies physics, I see this concept as true for science in general; and the author freely admits that he sometimes discusses more than physics in this book. The author's goal is to cover "only the most essential facts and ideas, the key concepts that will help a president make better decisions", (p. 1 5) The author achieves this goal and brings about a better understanding of politically important science. If anyone who has read this book should become president or have any major role in deciding governmental policy, the world will be a better place as a result. Although the President of the United States and other high-level policy makers can obtain reliable scientific advice from the government's own scientists, the academic members of the National Academy of Science and American Association for the Advancement of Science, and other scientific experts willing to help, nothing can replace the decision maker's having personal knowledge when making important policy decisions. Physics for Future Presidents covers five major topics: terrorism, energy, nukes, space, and global warming. This book is written for the general reader, rather than for experts in physics. In order to appeal to and communicate with this general audience, the author skips over the mathematical underpinnings of this science and makes his points without deep scientific analysis. The author's advice to his readers: "Don't pause too long if you find something confusing. Learn it like a foreign language: dive in, swim through it, wallow in it, and - most of all - enjoy it." (p. 16) I liked all of the sections of this book, except the first one on terrorism. I felt this section was inadequately covered, although Muller does explain the complexity of this issue: "Most of the unknowns related to future terrorism are not physics questions. They have to do with the terrorist mind, the possible fears and reactions of our own people, probabilities, weighed risks and costs." (p. 62) The next four paragraphs provide highlights of why I enjoyed the other four major sections of the book. In the section on energy, MuI 1er' s strongest and most revealing descriptions are his explanations of the difference between energy and power. He clearly describes the many ways in which energy is generated and used. He goes on to explain the nature and cause (the low cost) of "our love affair with fossil fuels" (p. 15) and to analyze energy-generation alternatives such as coal, hydrogen, solar power, and wind power. His chapters on "Why we love oil" and "The end of oil" are revealing and informative. Overall, this section is the highlight of the book as it informs r
未来总统的物理学:头条新闻背后的科学。作者:Richard A. Muller Norton and Company，纽约，2008,380页。ISBN: 978-0-393-33711我同意作者的前提，即科学在政治中很重要，政治家必须了解一些科学才能成为有效的政府领导者。虽然这本书的标题指定了物理学，但我认为这个概念适用于一般的科学;作者坦率地承认，他有时在这本书中讨论的不仅仅是物理。作者的目标是涵盖“只有最基本的事实和想法，关键的概念，将有助于总统做出更好的决策”，(第15页)作者实现了这一目标，并带来了更好的理解政治上重要的科学。如果读过这本书的人成为总统或在决定政府政策方面发挥重要作用，世界将会变得更加美好。虽然美国总统和其他高层决策者可以从政府自己的科学家、美国国家科学院和美国科学促进会的学术成员以及其他愿意提供帮助的科学专家那里获得可靠的科学建议，但在做出重要的政策决定时，没有什么可以取代决策者的个人知识。《未来总统的物理学》涵盖五大主题:恐怖主义、能源、核武器、太空和全球变暖。这本书是为一般读者而不是为物理学专家写的。为了吸引和与广大读者交流，作者跳过了这门科学的数学基础，在没有深入的科学分析的情况下提出了他的观点。作者给读者的建议是:“如果你发现一些令人困惑的东西，不要停顿太久。像学习外语一样学习它:潜入其中，畅游其中，沉浸其中，最重要的是，享受其中。”我喜欢这本书的所有部分，除了关于恐怖主义的第一部分。我觉得这一部分没有被充分覆盖，尽管穆勒确实解释了这个问题的复杂性:“大多数与未来恐怖主义有关的未知因素都不是物理问题。它们与恐怖分子的思想、我们本国人民可能的恐惧和反应、可能性、权衡的风险和成本有关。”(第62页)接下来的四段重点说明了为什么我喜欢这本书的其他四个主要部分。在关于能量的部分，梅儿最有力、最具启发性的描述是他对能量和权力的区别的解释。他清楚地描述了能源产生和使用的多种方式。他接着解释了“我们对化石燃料的热爱”的性质和原因(低成本)(第15页)，并分析了替代能源，如煤、氢、太阳能和风能。他关于“我们为什么爱石油”和“石油的终结”的章节发人深省，内容丰富。总的来说，这一部分是本书的亮点，因为它告诉读者(你们所有潜在的未来总统)能源对社会的影响和能源问题的科学复杂性。正如他总结的那样，“各国为了能源而开战”，“能源的浪费使用可能会破坏我们的生态”(第15页)。穆勒解释了放射性，以及它的危险和神话。这一部分有一个强大的科学主题，以及关于核能和曼哈顿计划的起源的非常有趣的历史。…
{"title":"Physics for Future Presidents: The Science Behind the Headlines","authors":"Chris Arney","doi":"10.5860/choice.46-3319","DOIUrl":"https://doi.org/10.5860/choice.46-3319","url":null,"abstract":"PHYSICS FOR FUTURE PRESIDENTS: THE SCIENCE BEHIND THE HEADLINES. by Richard A. Muller Norton and Company, New York, 2008, 380 pp. ISBN: 978-0-393-33711 I agree with the author's premise that science is important in politics, and that politicians must know some science in order to be effective leaders in government. While the title of the book specifies physics, I see this concept as true for science in general; and the author freely admits that he sometimes discusses more than physics in this book. The author's goal is to cover \"only the most essential facts and ideas, the key concepts that will help a president make better decisions\", (p. 1 5) The author achieves this goal and brings about a better understanding of politically important science. If anyone who has read this book should become president or have any major role in deciding governmental policy, the world will be a better place as a result. Although the President of the United States and other high-level policy makers can obtain reliable scientific advice from the government's own scientists, the academic members of the National Academy of Science and American Association for the Advancement of Science, and other scientific experts willing to help, nothing can replace the decision maker's having personal knowledge when making important policy decisions. Physics for Future Presidents covers five major topics: terrorism, energy, nukes, space, and global warming. This book is written for the general reader, rather than for experts in physics. In order to appeal to and communicate with this general audience, the author skips over the mathematical underpinnings of this science and makes his points without deep scientific analysis. The author's advice to his readers: \"Don't pause too long if you find something confusing. Learn it like a foreign language: dive in, swim through it, wallow in it, and - most of all - enjoy it.\" (p. 16) I liked all of the sections of this book, except the first one on terrorism. I felt this section was inadequately covered, although Muller does explain the complexity of this issue: \"Most of the unknowns related to future terrorism are not physics questions. They have to do with the terrorist mind, the possible fears and reactions of our own people, probabilities, weighed risks and costs.\" (p. 62) The next four paragraphs provide highlights of why I enjoyed the other four major sections of the book. In the section on energy, MuI 1er' s strongest and most revealing descriptions are his explanations of the difference between energy and power. He clearly describes the many ways in which energy is generated and used. He goes on to explain the nature and cause (the low cost) of \"our love affair with fossil fuels\" (p. 15) and to analyze energy-generation alternatives such as coal, hydrogen, solar power, and wind power. His chapters on \"Why we love oil\" and \"The end of oil\" are revealing and informative. Overall, this section is the highlight of the book as it informs r","PeriodicalId":365977,"journal":{"name":"Mathematics and Computer Education","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121124754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：