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Archimedes and the Door of Science
by Jeanne BendickJeanne Bendick, through text and pictures, admirably succeeds in bringing to life the ancient Greek mathematician who enriched mathematics and all branches of science. Against the backdrop of Archimedes' life and culture, the author discusses the man's work, his discoveries and the knowledge later based upon it. The simple, often humorous, illustrations and diagrams greatly enhance the text.
The Archimedes Codex: How a Medieval Prayer Book Is Revealing the True Genius of Antiquity's Greatest Scientist
by Reviel NetzPart archaeological detective story, part science, and part history, The Archimedes Codex tells the astonishing story of a lost manuscript, from its tenth-century creation in ancient Constantinople to the auction block at Christie’s in New York, and how a team of scholars used the latest imaging technology to reveal and decipher the original text. What they found was the earliest surviving manuscript by Archimedes (287 BC#150;212 BC), the greatest mathematician of antiquity#151;a manuscript that established, for the first time, the extent of his mathematical genius, which was two thousand years ahead of modern science.
Archimedes in the 21st Century: Proceedings of a World Conference at the Courant Institute of Mathematical Sciences (Trends in the History of Science)
by Chris RorresThis book is a collection of papers presented at the "Archimedes in the 21st Century" world conference, held at the Courant Institute of Mathematical Sciences in 2013. This conference focused on the enduring and continuing influence of Archimedes in our modern world, celebrating his centuries of influence on mathematics, science, and engineering. Archimedes planted the seeds for a myriad of seminal ideas that would grow over the ages. Each chapter surveys the growth of one or more of these seeds, and the fruit that they continue to bear to this day. The conference speakers contributing to this book are actively involved in STEM fields whose origins trace back to Archimedes, many of whom have conducted and published research that extends Archimedes' work into the 21st century. The speakers are not historians, so while historical context is provided, this book is uniquely focused on the works themselves as opposed to their history. The breadth and depth of Archimedes' influence will inspire, delight, and even surprise readers from a variety of fields and interests including historians, mathematicians, scientists, and engineers. Only a modest background in math is required to read this book, making it accessible to curious readers of all ages.
Architecting Enterprise AI Applications: A Guide to Designing Reliable, Scalable, and Secure Enterprise-Grade AI Solutions
by Anton Cagle Ahmed Mohamed AhmedThis book explores how to define, design, and maintain enterprise AI applications, exploring the impacts they will have on the teams who work with them. The book is structured into four parts. In Part 1: Defining Your AI Application, you are introduced to the dynamic interplay between human adaptability and AI specialization, the concept of meta systems, and the mechanics of prediction machines. In Part 2: Designing Your AI Application, the book delves into the anatomy of an AI application, unraveling the intricate relationships among data, machine learning, and reasoners. This section introduces the building blocks and enterprise architectural framework for designing multi-agent systems. Part 3: Maintaining Your AI Application takes a closer look at the ongoing life cycle of AI systems. You are guided through the crucial aspects of testing and test automation, providing a solid foundation for effective development practices. This section covers the critical tasks of security and information curation that ensure the long-term success of enterprise AI applications. The concluding section, Part 4: AI Enabled Teams, navigates the evolving landscape of collaborative efforts between humans and AI. It explores the impact of AI on remote work dynamics and introduces the new roles of the expert persona and the AI handler. This section concludes with a deep dive into the legal and ethical dimensions that AI-enabled teams must navigate. This book is a comprehensive guide that not only equips developers, architects, and product owners with the technical know-how of AI application development, but also delves into the broader implications for teams and society. What You Will Learn Understand the algorithms and processes that enable AI to make accurate predictions and enhance decision making Grasp the concept of metasystems and their role in the design phase of AI applications Know how data, machine learning, and reasoners drive the functionality and decision-making capabilities of AI applications Know the architectural components necessary for scalable and maintainable multi-agent AI applications Understand methodologies for testing AI applications, ensuring their robustness, accuracy, and reliability in real-world applications Understand the evolving dynamics of human-AI coordination facing teams in the new enterprise working environment Who This book Is For A diverse audience, primarily targeting enterprise architects, middle managers, tech leads, and team leads entrenched in the IT sector or possessing a tech-savvy background, including professionals such as digital marketers. Additionally, tech-savvy individual contributors—ranging from digital content creators and data analysts to administrators and programmers—stand to benefit significantly.
Architectural and Urban Subsymmetries (Mathematics and the Built Environment #6)
by Jin-Ho ParkThis book focuses on symmetries in the analysis and synthesis of architectural designs. Crucial in the history of architecture, principles of symmetry provided the means to achieve balance and harmony of spatial composition in architecture. Less well known is the importance of symmetry principles in the analysis of the distinct constituents in a contemporary architectural design which may, at first glance, appear disorganized or even random. The revelation of different hierarchical levels wherein various types of symmetry or subsymmetry are superimposed provides a key for deciphering the underlying structure of spatial logic. The interaction between local and global subsymmetries is of particular interest. Operating with symmetry concepts in this manner offers architects, designers and students an explicit method for understanding the symmetrical logics of sophisticated designs and gaining insights into new designs.This book has two complementary objectives: to explore the fundamental principles of architectural composition founded on the algebraic structure of symmetry groups in mathematics and to apply the principles in the analysis and synthesis of architectural and urban designs. By viewing and decomposing architectural and urban designs in this manner, the hidden spatial logic and underlying order in a design become transparent.
Architecture of Mathematics
by Simon SerovajskyArchitecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications. It describes the many interweaving relationships between different areas of mathematics and its practical applications, and as such provides unique reading for professional mathematicians and nonmathematicians alike. This book can be a very important resource both for the teaching of mathematics and as a means to outline the research links between different subjects within and beyond the subject. Features All notions and properties are introduced logically and sequentially, to help the reader gradually build understanding. Focusses on illustrative examples that explain the meaning of mathematical objects and their properties. Suitable as a supplementary resource for teaching undergraduate mathematics, and as an aid to interdisciplinary research. Forming the reader's understanding of Mathematics as a unified science, the book helps to increase his general mathematical culture.
Archival and Secondary Data (The SAGE Quantitative Research Kit)
by Tarani Chandola Cara BookerData archives provide rich and expansive sources of information for researchers. This book highlights the utility of secondary data analyses whilst showing you how to select the right datasets for your study, and in turn get the most out of your research. Topics include: · Generating your research question · Selecting appropriate datasets and variables · Examining univariate, bivariate and multivariate associations · Visualisng your data with tables and graphs Part of The SAGE Quantitative Research Kit, this book boosts students with know-how and confidence, to help them succeed on their quantitative research journey.
Archival and Secondary Data (The SAGE Quantitative Research Kit)
by Tarani Chandola Cara BookerData archives provide rich and expansive sources of information for researchers. This book highlights the utility of secondary data analyses whilst showing you how to select the right datasets for your study, and in turn get the most out of your research. Topics include: · Generating your research question · Selecting appropriate datasets and variables · Examining univariate, bivariate and multivariate associations · Visualisng your data with tables and graphs Part of The SAGE Quantitative Research Kit, this book boosts students with know-how and confidence, to help them succeed on their quantitative research journey.
Are Numbers Real?: The Uncanny Relationship of Mathematics and the Physical World
by Brian Clegg“A lighthearted yet far-reaching look at the history of numbers and how we use them.” —Publishers WeeklyHave you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them?Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers Real?, Brian Clegg explores the way that math has become more and more detached from reality, and yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity, to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader’s eyes to the hidden reality of the strange yet familiar entities that are numbers.Praise for Are Numbers Real?“A compact, very readable, and highly entertaining history of the development and use of mathematics to answer the important practical questions involved in advancing civilization . . . a superb introduction to mathematics, science, and that branch of philosophy devoted to exploring the nature of reality.” —Dr. James Stein, California State University, Long Beach“Clegg tackles a very deep question in his usual way; with clarity, wit and a wonderfully clear narrative writing style. For me, numbers are like natural language: They obviously don’t exist in a physical sense—you cannot trip over the number 2 in the street—yet numbers are at the heart of understanding the universe. Clegg covers a wide variety of subjects to seek out the truth of the matter in an engaging and hugely accessible way. I personally couldn’t put it down.” —Dr. Peet Morris, University of Oxford
Are Statistics Only Made of Data?: Know-how and Presupposition from the 17th and 19th Centuries (Methodos Series #20)
by Éric BrianThis book examines several epistemological regimes in studies of numerical data over the last four centuries. It distinguishes these regimes and mobilises questions present in the philosophy of science, sociology and historical works throughout the 20th century. Attention is given to the skills of scholars and their methods, their assumptions, and the socio-historical conditions that made calculations and their interpretations possible. In doing so, questions posed as early as Émile Durkheim’s and Ernst Cassirer’s ones are revisited and the concept of symbolic form is put to the test in this particular survey, conducted over long period of time. Although distinct from a methodological and epistemological point of view, today these regimes may be found together in the toolbox of statisticians and those who comment on their conclusions. As such, the book is addressed to social scientists and historians and all those who are interested in numerical productions.
Are U.S. Military Interventions Contagious over Time?: Intervention Timing and Its Implications for Force Planning
by Jennifer KavanaghCurrent DoD force planning processes assume that U. S. military interventions are serially independent over time. This report challenges this assumption, arguing that interventions occur in temporally dependent clusters in which the likelihood of an intervention depends on interventions in the recent past. The author used data on 66 U. S. Army contingency and peacekeeping deployments of at least company size between 1949 and 2010 and found evidence of temporal dependence between military interventions even when controlling for political, economic, and other security factors. However, the results also suggested that clustering is affected by the nature of the geopolitical regime and is stronger at certain points than others, for example, after the Cold War as compared to during the Cold War. The results suggested that as few as two military interventions above average is often enough to trigger interventions in subsequent years. Because current planning processes address only the direct force demands of a given deployment and ignore the heightened risk for additional demands created by temporal dependence, these processes may project force requirements that understate the demands placed on military deployments during a period of clustered interventions. This analysis suggests that DoD should consider modifying the integrated security constructs to incorporate serial correlation of interventions, making assumptions about the nature of the current or future geopolitical regime explicit, and assessing whether the existing set of force planning frameworks reflects the spectrum of potential future geopolitical regimes. Book jacket.
Arguing with Numbers: The Intersections of Rhetoric and Mathematics (RSA Series in Transdisciplinary Rhetoric #16)
by James Wynn G. Mitchell ReyesAs 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.
Arguing with Numbers: The Intersections of Rhetoric and Mathematics (RSA Series in Transdisciplinary Rhetoric)
by James Wynn G. Mitchell ReyesAs 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.
The Argument of Mathematics
by Andrew Aberdein Ian J DoveWritten by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations. The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics.
Argumentation und Metakognition bei geometrischen Beweisen und Beweisprozessen: Eine Untersuchung von Studierenden im Grundschullehramt (Perspektiven der Mathematikdidaktik)
by Nele AbelsIn diesem Open-Access-Buch untersucht Nele Abels geometrische Beweise und Beweisprozesse von Studierenden des Grundschullehramts in ihrem letzten Studienjahr. Mathematisches Argumentieren und Beweisen sind wesentliche fachliche Kompetenzen, die für ein mathematisches Verständnis von zentraler Bedeutung sind. Insbesondere Lehrkräfte im Primarbereich, welche die Grundlagen für ein fachspezifisches Argumentieren im Mathematikunterricht aufbauen, sollten über gute Kenntnisse in diesem Bereich verfügen. Der Fokus der Untersuchung liegt dabei sowohl auf den Argumentationen der Studierenden als auch ihren metakognitiven Aktivitäten. Grundlage ihrer Analysen sind die Rekonstruktionen von mündlichen und schriftlichen Beweisen. Die genaue Betrachtung des Übergangs vom Beweisprozess zum Beweisprodukt, also dem Prozess der Verschriftlichung eines Beweises, liefert neue Erkenntnisse. Metakognitive Aktivitäten erweisen sich gerade bei diesem Übergang als bedeutsam, wodurch sich Schwierigkeiten beim mathematischen Argumentieren und schriftlichen Beweisen vielfach nachvollziehen lassen.