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This is a book for those who enjoy thinking about how and why Nature can be described using mathematical tools. Approximating Perfection considers the background behind mechanics as well as the mathematical ideas that play key roles in mechanical applications. Concentrating on the models of applied mechanics, the book engages the reader in the types of nuts-and-bolts considerations that are normally avoided in formal engineering courses: how and why models remain imperfect, and the factors that motivated their development. The opening chapter reviews and reconsiders the basics of calculus from a fully applied point of view; subsequent chapters explore selected topics from solid mechanics, hydrodynamics, and the natural sciences. Emphasis is placed on the logic that underlies modeling in mechanics and the many surprising parallels that exist between seemingly diverse areas. The mathematical demands on the reader are kept to a minimum, so the book will appeal to a wide technical audience.

Mechanics, Analytic. --- Mécanique analytique --- Analytical mechanics --- Kinetics

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The best parts of physics are the last topics that our students ever see. These are the exciting new frontiers of nonlinear and complex systems that are at the forefront of university research and are the basis of many high-tech businesses. Topics such as traffic on the World Wide Web, the spread of epidemics through globally-mobile populations, or the synchronization of global economies are governed by universal principles just as profound as Newton's laws.Nonetheless, the conventional university physics curriculum reserves most of these topics for advanced graduate study. Two justifications

Dynamics. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics

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Cinétique chimique --- Réactions chimiques --- Chemical kinetics --- Chemical reactions --- Manuels d'enseignement --- Problèmes et exercices --- Manuels d'enseignement. --- Problèmes et exercices.

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Le temps est au centre des études cinétiques et dynamiques. Il est important de connaître le mécanisme et la vitesse de la transformation de la matière, et de comprendre comment les molécules réagissent entre elles et échangent des électrons et des atomes pour créer de nouveaux édifices. Ce livre rassemble dans un seul ouvrage les problématiques de la cinétique, ses fondements théoriques et les approches expérimentales. L’expression de la vitesse des réactions élémentaires et globales, les grandes avancées des théories (Lewis, RRKM, Erying, Smoluchowski et Stokes-Einstein-Debye, Marcus), les réactions induites par des rayonnements et finalement les concepts de la catalyse homogène et hétérogène y sont présentés. Le livre est écrit de façon pédagogique et comporte plus de 150 images en couleurs, des exercices et leur correction, des références bibliographiques et des annexes. L’ouvrage est destiné en particulier aux étudiants de la Licence, de Master, aux élèves-ingénieurs en chimie et chimie physique, et pour la préparation d’agrégation ainsi qu’aux chercheurs débutants.

Chemical kinetics. --- Molecular dynamics. --- Dynamics, Molecular --- Dynamics --- Chemical reaction, Kinetics of --- Chemical reaction, Rate of --- Chemical reaction, Velocity of --- Chemical reaction rate --- Chemical reaction velocity --- Kinetics, Chemical --- Rate of chemical reaction --- Reaction rate (Chemistry) --- Velocity of chemical reaction --- Chemical affinity --- Reactivity (Chemistry)

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This book gives a concise overview of the mathematical foundations of kinetics used in chemistry and systems biology. The analytical and numerical methods used to solve complex rate equations with the widely used deterministic approach will be described, with primary focus on practical aspects important in designing experimental studies and the evaluation of data. The introduction of personal computers transformed scientific attitudes in the last two decades considerably as computational power ceased to be a limiting factor. Despite this improvement, certain time-honored approximations in solving rate equations such as the pre-equilibrium or the steady-state approach are still valid and necessary as they concern the information content of measured kinetic traces. The book shows the role of these approximations in modern kinetics and will also describe some common misconceptions in this field.

Chemistry. --- Math. Applications in Chemistry. --- Mathematical Applications in the Physical Sciences. --- Systems Biology. --- Chemistry --- Biological models. --- Chimie --- Modèles biologiques --- Mathematics. --- Mathématiques --- Physical Sciences & Mathematics --- Analytical Chemistry --- Chemical kinetics. --- Chemical reaction, Kinetics of --- Chemical reaction, Rate of --- Chemical reaction, Velocity of --- Chemical reaction rate --- Chemical reaction velocity --- Kinetics, Chemical --- Rate of chemical reaction --- Reaction rate (Chemistry) --- Velocity of chemical reaction --- Chemometrics. --- Systems biology. --- Mathematical physics. --- Chemical affinity --- Reactivity (Chemistry) --- Models, Biological --- Computational biology --- Bioinformatics --- Biological systems --- Molecular biology --- Physical mathematics --- Physics --- Chemistry, Analytic --- Analytical chemistry --- Mathematics --- Measurement --- Statistical methods