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Book
Elementary classical mechanics
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ISBN: 9789811277450 9789811279249 Year: 2023 Publisher: New Jersey : World Scientific,

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Abstract

This book develops elementary classical mechanics in a setting that is appropriate for beginning university mathematics students without requiring a background in physics. It is an ideal first look at the subject for those who will go on to study more advanced aspects of the subject, such as Lagrangian, Hamiltonian, and quantum mechanics. These more advanced developments of mechanics are at the forefront of research in modern mathematics. Certainly, topics such as symplectic geometry, Lagrangian intersection theory, spectral theory, pseudodifferential operators, etc. do not require a background in classical mechanics, but studies in these areas are greatly enriched by a knowledge of their roots and how some of their motivational issues arose.

Keywords

Mechanics. --- Mécanique.


Book
Classical mechanics : problems and solutions
Authors: --- ---
ISBN: 9780367768447 9781032430997 Year: 2023 Publisher: Boca Raton : ©2023 CRC Press,

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This book of problems and solutions in classical mechanics is dedicated to junior or senior undergraduate students in physics, engineering, applied mathematics, astronomy, or chemistry who may want to improve their problems solving skills, or to freshman graduate students who may be seeking a refresh of the material. The book is structured in ten chapters, starting with Newton's laws, motion with air resistance, conservation laws, oscillations and the Lagrangian and Hamiltonian Formalisms. The last two chapters introduce some ideas in nonlinear dynamics, chaos, and special relativity. Each chapter starts with a brief theoretical outline, and continues with problems and detailed solutions. A brief presentation of differential equations can be found in the appendix. A variety of problems are presented, from the standard classical mechanics problems, to context rich problems and more challenging problems.


Book
Nonlinear continuum mechanics : an engineering approach
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ISBN: 9783031152061 Year: 2023 Publisher: Cham : Springer,

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This textbook on Continuum Mechanics presents 9 chapters. Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. All the content here is valid for both solid and fluid materials. At the end of Part I, the reader should be able to set up in local spatial/material form, the fundamental governing equations and inequalities for a Continuum Mechanics problem. Part II of the book, Chapters 6 to 10, is devoted to presenting some nonlinear constitutive models for Nonlinear Solid Mechanics, including Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. The constitutive equations are derived within a thermodynamically consistent framework. Finite deformation elastoplasticity models are based on a multiplicative decomposition of the deformation gradient and the notion of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration are considered. The last chapter is devoted to Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. The book may be used as a textbook for an advanced Master’s course on Nonlinear Continuum Mechanics for graduate students in Civil, Mechanical or Aerospace Engineering, Applied Mathematics, or Applied Physics, with an interest in Continuum Mechanics and Computational Mechanics.


Book
Encyclopedia of fluid mechanics
Author:
ISBN: 9781032391014 9781032382388 Year: 2023 Publisher: Boca Raton : CRC Press,

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"The text comprehensively introduces the subject vocabulary of fluid mechanics, to senior undergraduate and graduate students in engineering and physical sciences. It explains concepts such as cyclone, typhoon, hurricane, and tornado, by highlighting the shuttle difference between them"--


Book
Five hundred and seven mechanical movements : embracing all those which are most important in dynamics, hydraulics, hydrostatics, pneumatics, steam engines, mill and other gearing, presses, horology, and miscellaneous machinery, and including many movements never before published, and several which have only recently come into use
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ISBN: 9781019413999 Year: 2023 Publisher: [London] : Legare Street Press,

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Book
Biomechanics of dance : applications of classical mechanics
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ISBN: 9783110642285 9783110642292 9783110642339 Year: 2023 Publisher: Berlin : De Gruyter,

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This book provides a detailed analysis of human movement, building from simple physical models to more complex analyses and biomechanical models, including forces internal to the body. The book integrates principles of Physics with the functioning of the nervous and musculoskeletal systems to understand how movement in general, and dance movements specifically, can be executed to enhance performance and reduce injury risk.


Multi
Nonlinear Continuum Mechanics : An Engineering Approach
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ISBN: 9783031152078 9783031152061 9783031152085 9783031152092 Year: 2023 Publisher: Cham Springer International Publishing, Imprint: Springer

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This textbook on Continuum Mechanics presents 9 chapters. Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. All the content here is valid for both solid and fluid materials. At the end of Part I, the reader should be able to set up in local spatial/material form, the fundamental governing equations and inequalities for a Continuum Mechanics problem. Part II of the book, Chapters 6 to 10, is devoted to presenting some nonlinear constitutive models for Nonlinear Solid Mechanics, including Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. The constitutive equations are derived within a thermodynamically consistent framework. Finite deformation elastoplasticity models are based on a multiplicative decomposition of the deformation gradient and the notion of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration are considered. The last chapter is devoted to Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. The book may be used as a textbook for an advanced Master’s course on Nonlinear Continuum Mechanics for graduate students in Civil, Mechanical or Aerospace Engineering, Applied Mathematics, or Applied Physics, with an interest in Continuum Mechanics and Computational Mechanics.


Book
Physique : une présentation systémique
Authors: ---
ISBN: 9782889155354 Year: 2023 Publisher: Lausanne EPFL Press

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Cet ouvrage propose une approche novatrice des théories de la physique macroscopique basée sur la physique des milieux continus et des systèmes dynamiques uniformes. Il présente la physique en tant que science des systèmes, applicable dans différentes disciplines telles que les sciences de la terre, la biologie, l’ingénierie chimique et l’énergétique, la médecine ou l’écologie, domaines dans lesquels les sciences physiques, une approche systémique, et la modélisation, simulation et analyse de systèmes dynamiques jouent un rôle.L’ouvrage traite des systèmes dynamiques dans les fluides, l’électricité, la chaleur, les processus chimiques, ainsi que lors de l’étude des mouvements de rotation et de translation. Il offre également une présentation de la théorie classique des champs. Il propose enfin plusieurs études de cas, et se clôt par un résumé traitant des équations de bilan appliquées aux processus dynamiques.Chaque sujet est développé à partir d’une perspective imagée et narrative, puis formalisé. Les idées visant à l’élaboration des concepts et des relations sont suggérées et introduites sur la base de descriptions et de données relatives à des phénomènes dynamiques concrets.Richement illustré de centaines de schémas couleur, ce manuel tout spécialement conçu pour les étudiants en sciences de Bachelor et de Master des universités et des hautes écoles spécialisées intéressera également les enseignants et les praticiens à la recherche d’une référence en la matière. - 4e de couverture


Book
Field theory of non-equilibrium systems
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ISBN: 9781108769266 9781108488259 1108488250 Year: 2023 Publisher: Cambridge Cambridge University Press

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Book
Geodynamics of the Alps
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ISBN: 9781789451160 9781789451177 9781789451184 Year: 2023 Publisher: London : Hoboken : ISTE Ltd ; John Wiley & Sons, Inc.,

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Geodynamics of the Alps consists of three volumes. The first volume describes the recent and present-day structure and tectonic setting of the Alpine chain, from the lithospheric mantle to brittle crust and surface topography. It also provides a historical overview of Alpine research, with two chapters covering specific Alpine regions (Corsica and the Eastern Alps) through all phases of Alpine history. The second volume presents the pre-collisional history of the Alps. It discusses the Variscan orogeny in the Alpine realm, the inferred paleo-geography, the structure and processes affecting continental margins and the mantle structure in the pre-orogenic Alpine realm. It concludes by describing oceanic and continental subduction processes. The third volume is entirely dedicated to Alpine collision. It describes and interprets elements of the Alpine chain, including Alpine magmatism, the formation of external massifs, the foreland basin, the exhumation of the internal part of the chain and the northern deformation front of the Alps.

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