{"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}
{"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}
{"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}
{"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}
{"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}
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