Download or read book The Continuing Revolution in Mathematics written by and published by . This book was released on 1968 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Revolutionary Mathematics written by Justin Joque and published by Verso Books. This book was released on 2022-01-18 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the revolution in statistics that gave rise to artificial intelligence and predictive algorithms refiguring contemporary capitalism. Our finances, politics, media, opportunities, information, shopping and knowledge production are mediated through algorithms and their statistical approaches to knowledge; increasingly, these methods form the organizational backbone of contemporary capitalism. Revolutionary Mathematics traces the revolution in statistics and probability that has quietly underwritten the explosion of machine learning, big data and predictive algorithms that now decide many aspects of our lives. Exploring shifts in the philosophical understanding of probability in the late twentieth century, Joque shows how this was not merely a technical change but a wholesale philosophical transformation in the production of knowledge and the extraction of value. This book provides a new and unique perspective on the dangers of allowing artificial intelligence and big data to manage society. It is essential reading for those who want to understand the underlying ideological and philosophical changes that have fueled the rise of algorithms and convinced so many to blindly trust their outputs, reshaping our current political and economic situation.
Download or read book A History in Sum written by Steve Nadis and published by Harvard University Press. This book was released on 2013-11-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.
Download or read book Phase Change written by Douglas S. Robertson and published by Oxford University Press, USA. This book was released on 2003 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robertson's earlier work, The New Renaissance projected the likely future impact of computers in changing our culture. Phase Change builds on and deepens his assessment of the role of the computer as a tool driving profound change by examining the role of computers in changing the face of the sciences and mathematics. He shows that paradigm shifts in understanding in science have generally been triggered by the availability of new tools, allowing the investigator a new way of seeing into questions that had not earlier been amenable to scientific probing.
Download or read book OE publication written by and published by . This book was released on with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopedia of Mathematics Education written by Louise Grinstein and published by Routledge. This book was released on 2001-03-15 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt: This single-volume reference is designed for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. It contains more than 400 entries, arranged alphabetically by headings of greatest pertinence to mathematics education. The scope is comprehensive, encompassing all major areas of mathematics education, including assessment, content and instructional procedures, curriculum, enrichment, international comparisons, and psychology of learning and instruction.
Download or read book Advances in Mathematics for Industry 4 0 written by Mangey Ram and published by Academic Press. This book was released on 2020-10-02 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematics for Industry 4.0 examines key tools, techniques, strategies, and methods in engineering applications. By covering the latest knowledge in technology for engineering design and manufacture, chapters provide systematic and comprehensive coverage of key drivers in rapid economic development. Written by leading industry experts, chapter authors explore managing big data in processing information and helping in decision-making, including mathematical and optimization techniques for dealing with large amounts of data in short periods. - Focuses on recent research in mathematics applications for Industry 4.0 - Provides insights on international and transnational scales - Identifies mathematics knowledge gaps for Industry 4.0 - Describes fruitful areas for further research in industrial mathematics, including forthcoming international studies and research
Download or read book Mindset Mathematics written by Jo Boaler and published by John Wiley & Sons. This book was released on 2017-08-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.
Download or read book Research in Education written by and published by . This book was released on 1970 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times written by and published by . This book was released on 1884 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Tangled Origins of the Leibnizian Calculus written by Richard C. Brown and published by World Scientific. This book was released on 2012 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Evolution or revolution in mathematics -- 2. Issues in seventeenth century mathematics -- 3. Isaac Barrow: a foil to Leibniz -- 4. A young central European polymath -- 5. First steps in mathematics -- 6. The creation of calculus -- 7. Logic -- 8. The universal characteristic -- 9. The baroque cultural context -- 10. Epilogue -- 11. Some concluding remarks on mathematical change -- Appendices.
Download or read book The Continuous the Discrete and the Infinitesimal in Philosophy and Mathematics written by John L. Bell and published by Springer Nature. This book was released on 2019-09-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincaré, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal.
Download or read book Transactions of the Second Army Conference on Applied Mathematics and Computing written by and published by . This book was released on 1986 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Critical Mathematics Education written by Ole Skovsmose and published by Springer Nature. This book was released on 2023-02-28 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book Critical Mathematics Education provides Ole Skovsmose’s recent contribution to the further development of critical mathematics education. It gives examples of learning environments, which invite students to engage in investigative processes. It discusses how mathematics can be used for identifying cases of social injustice, and it shows how mathematics itself can become investigated critically. Critical Mathematics Education addresses issues with respect to racism, oppression, erosion of democracy, sustainability, formatting power of mathematics, and banality of mathematical expertise. It explores relationships between mathematics, ethics, crises, and critique. Ole Skovsmose has published what I might call his magnum opus, a 280-page synthesis and extension of his work simply called Critical Mathematics Education. In it he brings together his deep philosophical understanding and theorisation of mathematics itself, mathematics in society from a critical perspective, and mathematics in the teaching, learning and formation of students. For the mathematics education community, especially those concerned with social justice, philosophy, critical pedagogy and the nature of mathematics this is likely to be the publishing event of the year. In this book he offers something lacking in the literature, a philosophy of applied mathematics, as well as much more. Paul Ernest, Emeritus Professor, University of Exeter, UK
Download or read book Cambridge Checkpoints VCE Further Mathematics 2009 written by Neil Duncan and published by Cambridge University Press. This book was released on 2008-04-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cambridge Checkpoints study guides, provide the most up-to-date exam preparation and revision available for VCE students.
Download or read book Badiou and Hegel written by Jim Vernon and published by Lexington Books. This book was released on 2015-07-22 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Badiou and Hegel: Infinity, Dialectics, Subjectivity offers critical appraisals of two of the dominant figures of the Continental tradition of philosophy, Alain Badiou and G.W.F. Hegel. Jim Vernon and Antonio Calcagno bring together established and emerging authors in Continental philosophy to discuss the relationship between the thinkers, creating a multifarious collection of essays by Hegelians, Badiouans, and those sympathetic to both. The text privileges neither thinker, nor any particular topic shared between them; rather, this book lays a broad and sound foundation for future scholarship on arguably two of the greatest thinkers of infinity, universality, subjectivity, and the enduring value of philosophy in the modern Western canon. Assuredly overdue, this volume will attract Hegel and Badiou scholars, as well as those interested in post-structuralism, political philosophy, cultural studies, ontology, philosophy of mathematics, and psychoanalysis.
