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L'entropie a permis de donner naissance à la mécanique statistique et la mécanique quantique ; d'expliquer la stabilité et la permanence temporelle du gène. Empreinte d'une aura de mystère, elle trône depuis le XIXe siècle au cour des plus grandes théories scientifiques. Cet ouvrage propose une interprétation originale et positive de l'entropie, en s'appuyant sur une structure fractale, quantique et log-périodique.Cette approche propose un éclairage original sur la structure des particules relativistes et de la relativité restreinte. Les auteurs appliquent ces idées à la structure des écosystèmes et à l'évolution des espèces. Ils étudient également la log-périodicité des systèmes évolutifs sociétaux à travers l'évolution de la science et des technologies, l'expansion des empires ou encore l'évolution dans les arts et les ordres religieux.Ce livre renouvelle en effet de nombreux concepts des principes de la thermodynamique avec des conséquences physiques inattendues présentées de façon a` être accessible aux chercheurs et au grand public éclairé.
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Differential calculus. --- Sobolev spaces. --- Calcul différentiel --- Sobolev, Espaces de --- Differential calculus --- Sobolev spaces --- Calcul différentiel
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More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. "Students of literature read Shakespeare; students of music listen to Bach," he writes. But this tradition of studying the major works of the "masters" is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation. Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original "category theorem" (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable. Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.
Calculus --- History. --- Calcul infinitésimal --- History --- Histoire --- Calculus - History.
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Stochastic analysis --- Calculus --- Analyse stochastique --- Calcul infinitésimal
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"The field of high performance scientific computing lies at the crossroads of a number of disciplines and skill sets, and correspondingly, for someone to be successful at using high knowledge of and skillsin all this areas. This book brings together the strandsof numerical modeling, numerical linear algebra, computer architecture, parallel computing, performance optimization in a unified manner. The contents of this book are a combination of theoretical material and self-guided tutorials on various practical skills. Together, this teaches a graduate student or advanced undergraduate the necessary skills to be a successful computational scientist." [Back cover]
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Analytical chemistry. --- Chimie analytique. --- Calcul d'erreur. --- Volumétrie (chimie analytique) --- Électrochimie.
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Présentation de l'éditeur : "Un classique de la chimie analytique Cet ouvrage, devenu un classique de la chimie analytique, a la particularité de proposer un enseignement des principes fondamentaux de la chimie, associé à une description de la pratique de laboratoire. Des concepts fondamentaux aux techniques d'analyse Ce livre comprend 38 chapitres regroupés en 7 parties offrant une base modulaire particulièrement adaptée à tout cours de chimie analytique. La première partie discute des modalités d'une analyse et développe les concepts indispensables à l'évaluation des performances de celle-ci. Le cur de l'ouvrage présente les méthodes classiques d'analyse ainsi qu'une gamme étendue de techniques analytiques modernes qui se basent sur des considérations théoriques et pratiques. La dernière partie comprend quatre chapitres traitant des procédures relatives à l'analyse d'échantillons réels. Les nouveautés de la 2e édition Cette nouvelle édition présente les particularités suivantes : l'introduction tout au long de l'ouvrage d'outils informatiques actuels pour le traitement de données, une interview d'une personnalité scientifique reconnue au début de chaque partie, de nombreuses applications dans des domaines tels que la biologie, la médecine, la science des matériaux, l'écologie, ou encore la criminalistique, de nombreuses illustrations telles que photographies et modèles moléculaires. Des outils pédagogiques Les exemples numériques, les notes en marge, le glossaire, le grand nombre de questions et de problèmes ainsi que les recherches sur Internet sont des outils pédagogiques puissants mis à la disposition des étudiants."
Chemistry Techniques, Analytical --- Chemistry, Analytic --- Chimie analytique --- Calcul d'erreur --- Volumétrie (chimie analytique) --- Électrochimie --- Electrochemistry --- Problems, exercises, etc. --- Problèmes et exercices. --- Chimie analytique. --- Calcul d'erreur. --- Électrochimie. --- Analytical chemistry --- Analytical chemistry.
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This book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a general theory for extremal problems in a topological vector space setting. Following a brief summary of the required background, generalized Lagrange multiplier rules are derived for optimization problems with equality and generalized "inequality" constraints. The treatment stresses the importance of the choice of the underlying set over which the optimization is to be performed, the delicate balance between differentiability-continuity requirements on the constraint functionals, and the manner in which the underlying set is approximated by a convex set. The generalized multiplier rules are used to derive abstract maximum principles for classes of optimization problems defined in terms of operator equations in a Banach space. It is shown that special cases include the usual maximum principles for general optimal control problems described in terms of diverse systems such as ordinary differential equations, functional differential equations, Volterra integral equations, and difference equations. Careful distinction is made throughout the analysis between "local" and "global" maximum principles.Originally published in 1977.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Mathematical optimization --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Mathematical optimization. --- Calcul des variations --- Optimisation
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Integrated circuits --- Semiconductors --- Electronic circuit design. --- Circuits intégrés --- Semiconducteurs --- Circuits électroniques --- Design and construction. --- Design and construction. --- Conception et construction --- Conception et construction --- Calcul
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Description Contents Resources Courses About the AuthorsAt long last, here is the thoroughly revised and updated third edition of the hugely successful The Art of Electronics. It is widely accepted as the best single authoritative book on electronic circuit design, and is in fact so popular that it has been counterfeited - so beware if purchasing from a third party via an online retailer, as you may receive a very inferior physical product. In addition to new or enhanced coverage of many topics, the third edition includes 90 oscilloscope screenshots illustrating the behavior of working circuits, dozens of graphs giving highly useful measured data of the sort that is often buried or omitted in datasheets but which you need when designing circuits, and 80 tables (listing some 1650 active components), enabling intelligent choice of circuit components by listing essential characteristics (both specified and measured) of available parts. The new Art of Electronics retains the feeling of informality and easy access that helped make the earlier editions so successful and popular. It is an indispensable reference and the gold standard for anyone, student or researcher, professional or amateur, who works with electronic circuits.
Electronics. --- Electronic circuit design. --- Electronic circuits --- Design --- transformatoren --- Electronique --- Circuits électroniques --- Calcul --- Elektronische inrichtingen. Elektronische buizen.Fotocellen.Deeltjesversnellers.Röntgenbuizen --- Circuits électroniques --- Électronique. --- Calcul. --- Computer. Automation --- Electronics --- elektronica --- schakelingen --- 621.38 --- Electrical engineering --- Physical sciences --- versterkers --- Electronic circuit design --- Électronique.
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