Revue de math matiques sp ciales
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Animal Sonar Systems
Thirteen years have gone by since the first international meet ing on Animal Sonar Systems was held in Frascati, Italy, in 1966. Since that time, almost 900 papers have been published on its theme. The first symposium was vital as it was the starting point for new research lines whose goal was to design and develop technological systems with properties approaching optimal biological systems. There have been highly significant developments since then in all domains related to biological sonar systems and in their appli cations to the engineering field. The time had therefore come for a multidisciplinary integration of the information gathered, not only on the evolution of systems used in animal echolocation, but on systems theory, behavior and neurobiology, signal-to-noise ratio, masking, signal processing, and measures observed in certain species against animal sonar systems. Modern electronics technology and systems theory which have been developed only since 1974 now allow designing sophisticated sonar and radar systems applying principles derived from biological systems. At the time of the Frascati meeting, integrated circuits and technol ogies exploiting computer science were not well enough developed to yield advantages now possible through use of real-time analysis, leading to, among other things, a definition of target temporal char acteristics, as biological sonar systems are able to do. All of these new technical developments necessitate close co operation between engineers and biologists within the framework of new experiments which have been designed, particularly in the past five years.
The Collected Mathematical Papers of James Joseph Sylvester
From the Preface: ``Volume 3 deals very largely with the Author's enumerative method of obtaining the complete system of concomitants of a system of quantics, with the help of generating functions; the brief but very luminous papers ... on the Constructive Theory of Partitions ... his Commemoration day Address at Johns Hopkins University (1877) ... investigations on Chemistry and Algebra, the paper on Certain Ternary Cubic-Form Equations, and the paper on Subinvariants and Perpetuants.''
The Book of Ingenious Devices Kit b al iyal
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Analytic Theory of Polynomials
'A nicely written book that will be useful for scientists, engineers and mathematicians from other fields. It can be strongly recommended as an undergraduate or graduate text and as a comprehensive source for self study.' -EMSPresents easy to understand proofs of some of the most difficult results about polynomials demonstrated by means of applications.
Over the past thirty-five years, there has been an explosive increase in scientists' ability to explain the structure and functioning of the human brain. While psychology has advanced our understanding of human behavior, various other sciences, such as anatomy, physiology, and biology, have determined the critical importance of synapses and, through the use of advanced technology, made it possible actually to see brain cells at work within the skull's walls. Here Jean-Pierre Changeux elucidates our current knowledge of the human brain, taking an interdisciplinary approach and explaining in layman's terms the complex theories and scientific breakthroughs that have significantly improved our understanding in the twentieth century. "Jean-Pierre Changeux ... explores the fascinating question of how the human brain, similar in so many ways to the brains of less developed species, is able to accomplish so much more.... [He] presents his ... view with verve, conviction, and an admirable lucidity".--Richard Restak, Washington Post Book World"An outstanding attempt to convey to the general public an interdisciplinary understanding of the human nervous system".-- Nature
Geometry of Surfaces
This text intends to provide the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. The geometry of surfaces is an ideal starting point for students learning geometry for the following reasons; first, the extensions offer the simplest possible introduction to fundamentals of modern geometry: curvature, group actions and covering spaces. Second, the prerequisites are modest and standard and include only a little linear algebra, calculus, basic group theory and basic topology. Third and most important, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. They realize all the topological types of compact two-dimensional manifolds, and historically, they are the source of the main concepts of complex analysis, differential geometry, topology, and combinatorial group theory, as well as such hot topics as fractal geometry and string theory. The formal coverage is extended by exercises and informal discussions throughout the text.
Fundamental university physics
Marcelo Alonso A été écrit sous une forme ou une autre pendant la plus grande partie de sa vie. Vous pouvez trouver autant d'inspiration de Fundamental university physics Aussi informatif et amusant. Cliquez sur le bouton TÉLÉCHARGER ou Lire en ligne pour obtenir gratuitement le livre de titre $ gratuitement.
Mathematical Knowledge in Teaching
The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.
Italian Mathematics Between the Two World Wars
During the first decades of the last century Italian mathematics was considered to be the third national school due to its importance and the high level of its numerous - searchers. The decision to organize the 1908 International Congress of Mathematicians in Rome (after those in Paris and Heidelberg) confirmed this position. Qualified Italian universities were permanently included in the tour organized for young mathematicians’ improvement. Even in the years after the First World War, Rome (together with Paris and Göttingen) remained an important mathematical center according to the American ma- ematician G. D. Birkhoff. Now, after almost a century, we can state that the golden age of Italian mathem- th th ics reduces to the decades between the 19 and the 20 century. In the centre of interest stood the algebraic geometry school with Guido Calstelnuovo, Federico Enriques and Francesco Severi acting as key figures. Their work led to an almost complete systema- zation of the theory of curves to the complete classification of the surfaces and to the bases of a general theory of algebraic varieties. Other important contributions came from the Italian school of analysis. Its main representative was Vito Volterra – an outstanding analyst with a strong interest in mathematical physics – who produced important results in real analysis and the theory of integral equations and contributed to the initiation of functional analysis.