Download or read book The Rainbow of Mathematics written by Ivor Grattan-Guinness and published by W. W. Norton & Company. This book was released on 2000 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: "For Ivor Grattan-Guinness . . . the story of how numbers were invented and harnessed is a passionate, physical saga."--"The New Yorker." The author charts the growth of mathematics through the centuries and describes the evolution of arithmetic and geometry, trigonometry, and other disciplines.
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Historical Encyclopedia of Natural and Mathematical Sciences written by Ari Ben-Menahem and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 6070 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.
Download or read book What s Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
Download or read book The Jesuits the Padroado and East Asian Science 1552 1773 written by Lu¡s Saraiva and published by World Scientific. This book was released on 2008 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the end of the 15th century, Portugal was given the oversight (Padroado) of all Catholic missions in Asia. The Society of Jesus played a major role in this enterprise of evangelization, which in Jesuit hands led to the transmission of major elements of European mathematical sciences to East Asia. The essays in this volume present important new data and analysis on the extent to and ways in which Jesuit scientific culture and Portuguese policies regarding education, trade and mission shaped the reception of ?Western learning? in China, Japan, Korea and Vietnam in the early modern period.
Download or read book Anachronisms in the History of Mathematics written by Niccolò Guicciardini and published by Cambridge University Press. This book was released on 2021-07-22 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The controversial matters surrounding the notion of anachronism are difficult ones: they have been broached by literary and art critics, by philosophers, as well as by historians of science. This book adopts a bottom-up approach to the many problems concerning anachronism in the history of mathematics. Some of the leading scholars in the field of history of mathematics reflect on the applicability of present-day mathematical language, concepts, standards, disciplinary boundaries, indeed notions of mathematics itself, to well-chosen historical case studies belonging to the mathematics of the past, in European and non-European cultures. A detailed introduction describes the key themes and binds the various chapters together. The interdisciplinary and transcultural approach adopted allows this volume to cover topics important for history of mathematics, history of the physical sciences, history of science, philosophy of mathematics, history of philosophy, methodology of history, non-European science, and the transmission of mathematical knowledge across cultures.
Download or read book Creators of Mathematical and Computational Sciences written by Ravi P Agarwal and published by Springer. This book was released on 2014-11-11 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.
Download or read book The Intersection of History and Mathematics written by Sasaki Chikara and published by Birkhäuser. This book was released on 2013-03-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of Mathematical Sciences written by Lu¡s Saraiva and published by World Scientific. This book was released on 2004 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the interaction between Europe and East Asia between the 16th and the 18th centuries in the field of mathematical sciences, bringing to the fore the role of Portugal as an agent of transmission of European science to East Asia. It is an important contribution to understanding this fundamental period of scientific history, beginning with the arrival of Vasco da Gama in India in 1498 and ending with the expulsion of the Society of Jesus from Portugal in 1759. The former event opened a new era in relations between Europe and Asia, in particular regarding the circulation of scientific knowledge, leading to major social and intellectual changes in both continents. The Society of Jesus controlled education in Portugal and in the Empire. It was central to the network of knowledge transmission until the Society was expelled from Portugal in 1759.The proceedings have been selected for coverage in: ? Index to Social Sciences & Humanities Proceedings? (ISSHP? / ISI Proceedings)? Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings)
Download or read book Equations from God written by Daniel J. Cohen and published by JHU Press. This book was released on 2007-04-08 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.
Download or read book How Economics Became a Mathematical Science written by E. Roy Weintraub and published by Duke University Press. This book was released on 2002-05-28 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: In How Economics Became a Mathematical Science E. Roy Weintraub traces the history of economics through the prism of the history of mathematics in the twentieth century. As mathematics has evolved, so has the image of mathematics, explains Weintraub, such as ideas about the standards for accepting proof, the meaning of rigor, and the nature of the mathematical enterprise itself. He also shows how economics itself has been shaped by economists’ changing images of mathematics. Whereas others have viewed economics as autonomous, Weintraub presents a different picture, one in which changes in mathematics—both within the body of knowledge that constitutes mathematics and in how it is thought of as a discipline and as a type of knowledge—have been intertwined with the evolution of economic thought. Weintraub begins his account with Cambridge University, the intellectual birthplace of modern economics, and examines specifically Alfred Marshall and the Mathematical Tripos examinations—tests in mathematics that were required of all who wished to study economics at Cambridge. He proceeds to interrogate the idea of a rigorous mathematical economics through the connections between particular mathematical economists and mathematicians in each of the decades of the first half of the twentieth century, and thus describes how the mathematical issues of formalism and axiomatization have shaped economics. Finally, How Economics Became a Mathematical Science reconstructs the career of the economist Sidney Weintraub, whose relationship to mathematics is viewed through his relationships with his mathematician brother, Hal, and his mathematician-economist son, the book’s author.
Download or read book Mathematics Education and History written by Kathleen M. Clark and published by Springer. This book was released on 2018-03-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.
Download or read book History of Mathematical Sciences Portugal and East Asia V written by Saraiva Luis M R and published by World Scientific. This book was released on 2018-06-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, research on the history of early modern cartography has undergone remarkable developments. At the same time, European travel accounts and works on China and Japan are also being investigated more systematically. Finally, studies of translations between European and East Asian languages have highlighted the more general issue of how and to what extent representations of the world that prevailed at one end of Eurasia informed and influenced the representations prevailing at the other end of the continent, sometimes to the point that novel forms of representations were being generated. This volume brings together a series of essays on this theme. It is divided into five sections which address as many topics: the textual representation of the 'Other'; 16th- and 17th-century maps of China, Japan and Vietnam; the phenomenon of hybridisation in visual representations; knowledge and representations of the world in Europe and East Asia; and the circulation of representations of the heavens in astronomy between these two regions.
Download or read book Social History of Nineteenth Century Mathematics written by Mehrtens and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the develop ment of mathematical knowledge itself. To some degree this restriction is connected with the special role of mathematics compared with the other sciences; mathematics typifies the most objective, most coercive type of knowledge, and there fore seems to be least affected by social influences. Nevertheless, biography, institutional history and his tory of national developments have long been elements in the historiography of mathematics. This interest in the social aspects of mathematics has widened recently through the stu dy of other themes, such as the relation of mathematics to the development of the educational system. Some scholars have begun to apply the methods of historical sociology of knowledge to mathematics; others have attempted to give a ix x Marxist analysis of the connection between mathematics and productive forces, and there have been philosophical studies about the communication processes involved in the production of mathematical knowledge. An interest in causal analyses of historical processes has led to the study of other factors influencing the development of mathematics, such as the f- mation of mathematical schools, the changes in the profes- onal situation of the mathematician and the general cultural milieu of the mathematical scientist.
Download or read book History of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Springer. This book was released on 2003-12-15 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented at the International Conference on History of Mathematical Sciences, held at New Delhi during 20-23 December 2001.
Download or read book A Century of Mathematics in America written by Peter L. Duren and published by Springer Science & Business. This book was released on 1988 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the A Century of Mathematics in America collection, this book contains articles that describe the mathematics and the mathematical personalities in some of the nations' prominent departments: Johns Hopkins, Clark, Columbia, MIT, Michigan, Texas, and the Institute for Advanced Study.
Download or read book The Geometry of an Art written by Kirsti Andersen and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.