This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world. Cédric Villani’s popular success proves once again that a common awareness has developed, albeit in a very confused way, of the major role of mathematics in the construction and efficiency of natural sciences, which are at the origin of our technologies. Despite this, the idea that mathematics cannot be shared remains firmly entrenched, a perceived failing that has even been branded a lack of culture by vocal forces in the media as well as cultural and political establishment. The authors explore three major directions in their dialogue: the highly complex relationship between mathematics and reality, the subject of many debates and opposing viewpoints; the freedom that the construction of mathematics has given humankind by enabling them to develop the natural sciences as well as mathematical research; and the responsibility with which the scientific community and governments should address the role of mathematics in research and education policies.
Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa per "Extension theory of differential operators I", the first paper reprinted in this volume. Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. In the 1960's, Rota was motivated by problems in fluctuation theory to study some operator identities of Glen Baxter (see [7]). Together with other problems in probability theory, this led Rota to study combinatorics. His series of papers, "On the foundations of combi natorial theory", led to a fundamental re-evaluation of the subject. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics. This was his intention all along, and his early death robbed mathematics of his unique perspective on linkages between the discrete and the continuous. Glimpses of his new research programs can be found in [2,3,6,9,10].
This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world. Cédric Villani’s popular success proves once again that a common awareness has developed, albeit in a very confused way, of the major role of mathematics in the construction and efficiency of natural sciences, which are at the origin of our technologies. Despite this, the idea that mathematics cannot be shared remains firmly entrenched, a perceived failing that has even been branded a lack of culture by vocal forces in the media as well as cultural and political establishment. The authors explore three major directions in their dialogue: the highly complex relationship between mathematics and reality, the subject of many debates and opposing viewpoints; the freedom that the construction of mathematics has given humankind by enabling them to develop the natural sciences as well as mathematical research; and the responsibility with which the scientific community and governments should address the role of mathematics in research and education policies.
Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa per "Extension theory of differential operators I", the first paper reprinted in this volume. Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. In the 1960's, Rota was motivated by problems in fluctuation theory to study some operator identities of Glen Baxter (see [7]). Together with other problems in probability theory, this led Rota to study combinatorics. His series of papers, "On the foundations of combi natorial theory", led to a fundamental re-evaluation of the subject. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics. This was his intention all along, and his early death robbed mathematics of his unique perspective on linkages between the discrete and the continuous. Glimpses of his new research programs can be found in [2,3,6,9,10].
This unique book illustrates the structure of the fascia in the living human being. Dr Guimberteau's photographs provide a detailed account of fascial architecture. The accompanying text explains what the photographs mean, clarifies the importance of the fascia, and sets out the implications of these findings for everyday therapeutic practice. This beautifully illustrated book provides an introduction to Dr Guimberteau's groundbreaking work. He is the first person to publish video "movies" showing the structure of the fascia and how the fascia responds to. Based on what can be seen he has developed his own concept of the multifibrillar structural organisation of the body, wherein the "microvacuole" is the basic functional unit. His films confirm the continuity of fibres throughout the body thereby seeming to confirm the tensegrity theory, which provides the basis of many manual therapy and bodywork teachings. His work ties in with that of Donald Ingber on tensegrity within the cytoskeleton, and adds to the evidence linking the cytoskeleton to the extracellular matrix as described by james Oschman. The book and videos provide, for the first time, an explanatory introduction and explanation of these theories and link them to the visual evidence shown in the video. This material will be highly valued by osteopaths, massage therapists, chiropractors and others as it provides part of the scientific underpinning of their techniques, as well as an explanation of what is happening when they use those techniques to treat their clients. So Guimberteau's material confirms what manual therapists already believed but didn't fully understand. He has provided an explanation of how fascial layers slide over each other and how adjacent structures can move independently in different directions and at different speeds while maintaining the stability of the surrounding tissues.
Jean-Nicolas-Louis Durand (1760–1834) regarded the Précis of the Lectures on Architecture (1802–5) and its companion volume, the Graphic Portion (1821), as both a basic course for future civil engineers and a treatise. Focusing the practice of architecture on utilitarian and economic values, he assailed the rationale behind classical architectural training: beauty, proportionality, and symbolism. His formal systematization of plans, elevations, and sections transformed architectural design into a selective modular typology in which symmetry and simple geometrical forms prevailed. His emphasis on pragmatic values, to the exclusion of metaphysical concerns, represented architecture as a closed system that subjected its own formal language to logical processes. Now published in English for the first time, the Précis and the Graphic Portion are classics of architectural education.
This volume on mechanics of rigid and elastic bodies contains early papers concerning geometric statics, accompanied by works dealing with the motion of compound pendula and the deformation of beams. The papers on mechanics in this volume do not encompass the area of hydraulics, which occupies approximately one half of the papers dealing with mechanical problems and which are included in volume 7. This collection constitutes, roughly, one eighth of the entire work written by Bernoulli.
This book provides assistance in preparing for and conducting screening or diagnostic ultrasound examinations of the fetal brain in all stages of pregnancy. Readers are provided with: abundantly illustrated descriptions of studies conducted on normal brain structures using all conventional and 3D/4D ultrasound techniques; a detailed description of the main structures of the brain; photographs of fetal pathology specimens that may be used to compare the results of imaging techniques with the anatomical reality; and practical advice and technical tips. The second part of this book presents a clear and informative overview of fetal brain pathologies, combining a wealth of detailed images and precise descriptions.
The world of insects is at once beneath our feet and unfathomably alien. Small and innumerable, insects surround and disrupt us even as we scarcely pay them any mind. Insects confront us with the limits of what is imaginable, while at the same time being essential to the everyday functioning of all terrestrial ecosystems. In this book, the philosopher and historian of science Jean-Marc Drouin contends that insects pose a fundamental challenge to philosophy. Exploring the questions of what insects are and what scientific, aesthetic, ethical, and historical relationships they have with humanity, he argues that they force us to reconsider our ideas of the animal and the social. He traces the role that insects have played in language, mythology, literature, entomology, sociobiology, and taxonomy over the centuries. Drouin emphasizes the links between humanistic and scientific approaches—how we have projected human roles onto insects and seen ourselves in insect form. Caught between the animal and plant kingdoms, insects force us to confront and reevaluate our notions of gender, family, society, struggle, the division of labor, social organization, and individual and collective intelligence. A remarkably original and thought-provoking work, A Philosophy of the Insect is an important book for animal studies, environmental ethics, and the history and philosophy of science.
Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa per "Extension theory of differential operators I", the first paper reprinted in this volume. Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. In the 1960's, Rota was motivated by problems in fluctuation theory to study some operator identities of Glen Baxter (see [7]). Together with other problems in probability theory, this led Rota to study combinatorics. His series of papers, "On the foundations of combi natorial theory", led to a fundamental re-evaluation of the subject. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics. This was his intention all along, and his early death robbed mathematics of his unique perspective on linkages between the discrete and the continuous. Glimpses of his new research programs can be found in [2,3,6,9,10].
With a turnover of some 5-15 billion € / year, the additive manufacturing has industrial niches bearers thanks to processes and materials more and more optimized. While some niches still exist on the application of additive techniques in traditional fields (from jewelery to food for example), several trends emerge, using new concepts: collective production, realization of objects at once (without addition Of material), micro-fluidic, 4D printing exploiting programmable materials and materials, bio-printing, etc. There are both opportunities for new markets, promises not envisaged less than 10 years ago, but difficulties in reaching them.
Originally published in French in 1993 (Editions Pygmalion/Gerard Watelet, Paris), and expanded and revised for this translation. The founder of modern chemistry, Lavoisier (1743-1794) was active on commisions connected with agriculture, gunpowder, banking, and finance, and was ultimately executed during the Reign of Terror. This biography recounts Lavoisier's scientific accomplishments and his role in the chemical revolution and early history of organic chemistry and physiology; but it is in the examination of his political and economic activities and accomplishments that it breaks new ground. Annotation copyrighted by Book News, Inc., Portland, OR
This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.
Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. The following issues are addressed: (1) connections with non-Chinese cultural areas; (2) the possibility or impossibility of using mathematics to predict astronomical phenomena, a question that was constantly raised by the Chinese from antiquity through medieval times; (3) the modes of representation of numbers, and in particular the zero, found in the context of Chinese calendrical calculations; and (4) a detailed analysis of lunisolar calendrical calculations. Fully worked-out examples and comparisons between the results of calculations and the content of Chinese historical calendars from various periods are provided. Traditional Chinese calendrical and mathematical astronomy consists of permanently reformed mathematical procedures designed to predict, but not explain, phenomena pertaining to astronomy and related areas. Yet, despite appearances, models of the mathematical techniques hidden behind this voluminous corpus reveal that they depend on a limited number of clear-cut mathematical structures. Although only a small fraction of these techniques have been fully studied, what is known surprisingly broadens our knowledge of the history of Chinese mathematics. Sinologists interested in the history of Chinese science, and anyone interested in the history of Chinese mathematics, the Chinese calendar, and the history of Chinese mathematical astronomy from its origin (104 BC) to its European reform (AD 1644) will find this book very useful. The present English language edition is a fully revised and updated version of the French original. Even though this is a research monograph in sinology, no particular sinological background is required, although a basic understanding of ‘concrete mathematics’ is needed. From the reviews of the French edition: This is a demanding, rigorous book to read ... worth the concentrated study it requires. The rewards are not only in the details but in the general overview that ...[it] provides. Joseph Dauben, EASTM, 2011 ...first Work in a Western language to turn to for anyone interested in the details of Chinese calendrical computations. Benno Van Dalen, ISIS, 2011 Martzloff’s careful scholarship and his overall look at the calendar beyond astronomical calculations, ..., make this book a most valuable contributions to a field of increasing interest. U. D’Ambrosio, Mathematical Reviews, 2013
How risk, disasters and pollution were managed and made acceptable during the Industrial Revolution Being environmentally conscious is not nearly as modern as we imagine. As a mode of thinking it goes back hundreds of years. Yet we typically imagine ourselves among the first to grasp the impact humanity has on the environment. Hence there is a fashion for green confessions and mea culpas. But the notion of a contemporary ecological awakening leads to political impasse. It erases a long history of environmental destruction. Furthermore, by focusing on our present virtues, it overlooks the struggles from which our perspective arose. In response, Happy Apocalypse plunges us into the heart of controversies that emerged in the eighteenth and nineteenth centuries around factories, machines, vaccines and railways. Jean-Baptiste Fressoz demonstrates how risk was conceived, managed, distributed and erased to facilitate industrialization. He explores how clinical expertise around 1800 allowed vaccination to be presented as completely benign, how the polluter-pays principle emerged in the nineteenth century to legitimize the chemical industry, how safety norms were invented to secure industrial capital and how criticisms and objections were silenced or overcome to establish technological modernity. Societies of the past did not inadvertently alter their environments on a massive scale. Nor did they disregard the consequences of their decisions. They seriously considered them, sometimes with dread. The history recounted in this book is not one of a sudden awakening but a process of modernising environmental disinhibition.
This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike.
Nothing could seem more contemporary than climate change. Yet, in Chaos in the Heavens, Jean-Baptiste Fressoz and Fabien Locher show that we have been thinking about and debating the consequences of our actions upon the environment for centuries. The subject was raised wherever history accelerated: by the conquistadors in the New World, by the French revolutionaries of 1789, by the scientists and politicians of the nineteenth century, by the European imperialists in Asia and Africa until the Second World War. Climate change was at the heart of fundamental debates about colonisation, God, the state, nature, and capitalism. From these intellectual and political battles emerged key concepts of contemporary environmental science and policy. For a brief interlude, science and industry instilled in us the reassuring illusion of an impassive climate. But, in the age of global warming, we must, once again, confront the chaos in the heavens.
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