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Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises. Comprehensive collections of models are used to illustrate the underpinning mathematical methodologies, which include the basic ideas of the relevant partial differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how intimately gasdynamic waves are related to wave phenomena in many other areas of physical science. Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences. Reviews of the first edition: "This book … is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. … is extraordinarily accurate and free of misprints … . I enjoyed reading this book. … most attractive and enticing appearance, and I’m certain that many readers who browse through it will wish to buy a copy. The exercises … are excellent. … A beginner who worked through these exercises would not only enjoy himself or herself, but would rapidly acquire mastery of techniques used…in JFM and many other journals…" (C. J. Chapman, Journal of Fluid Mechanics, Vol. 521, 2004) "The book targets a readership of final year undergraduates and first year graduates in applied mathematics. In the reviewer’s opinion, it is very well designed to catch the student’s interest … while every chapter displays essential features in some important area of fluid dynamics. Additionally, students may practice by solving 91 exercises. This volume is mainly devoted to inviscid flows. … The book is very well written." (Denis Serre, Mathematical Reviews, 2004) .
Applied Mathematics --- Engineering & Applied Sciences --- Mathematics. --- Mathematical models. --- Mathematical physics. --- Continuum physics. --- Fluid mechanics. --- Mathematical Modeling and Industrial Mathematics. --- Engineering Fluid Dynamics. --- Classical Continuum Physics. --- Mathematical Physics. --- Hydromechanics --- Continuum mechanics --- Classical field theory --- Continuum physics --- Physics --- Physical mathematics --- Models, Mathematical --- Simulation methods --- Math --- Science --- Mathematics --- Hydraulic engineering. --- Classical and Continuum Physics. --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Fluid dynamics. --- Compressibility. --- Field theory (Physics)
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This book aims to give readers a broad mathematical basis for modeling and understanding the wide range of wave phenomena encountered in modern applications, especially in gasdynamics. The material originated from a coarse that has been taught at Oxford University for many years. It is a development of Inviscid Fluid Flows, by H. Ockendon and A. B. Tayler (Springer, 1983), which has been retitled and completely rewritten to reflect current research interests. In particular, a more comprehensive collection of models is used to illustrate the underpinning mathematical methodologies. These methodologies have been expanded to include the basic ideas of hyperbolic differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how wave phenomena in other areas such as electromagnetism and solid mechanics can be treated using similar techniques. Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences. .
Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Continuum physics. --- Fluid mechanics. --- Applications of Mathematics. --- Classical Continuum Physics. --- Engineering Fluid Dynamics. --- Hydraulic engineering. --- Classical and Continuum Physics. --- Wave-motion, Theory of. --- Hydromechanics --- Continuum mechanics --- Classical field theory --- Continuum physics --- Physics --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Field theory (Physics)
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Compressibility. --- Fluid dynamics. --- Wave-motion, Theory of.
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Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises. Comprehensive collections of models are used to illustrate the underpinning mathematical methodologies, which include the basic ideas of the relevant partial differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how intimately gasdynamic waves are related to wave phenomena in many other areas of physical science. Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences. Reviews of the first edition: "This book … is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. … is extraordinarily accurate and free of misprints … . I enjoyed reading this book. … most attractive and enticing appearance, and I’m certain that many readers who browse through it will wish to buy a copy. The exercises … are excellent. … A beginner who worked through these exercises would not only enjoy himself or herself, but would rapidly acquire mastery of techniques used…in JFM and many other journals…" (C. J. Chapman, Journal of Fluid Mechanics, Vol. 521, 2004) "The book targets a readership of final year undergraduates and first year graduates in applied mathematics. In the reviewer’s opinion, it is very well designed to catch the student’s interest … while every chapter displays essential features in some important area of fluid dynamics. Additionally, students may practice by solving 91 exercises. This volume is mainly devoted to inviscid flows. … The book is very well written." (Denis Serre, Mathematical Reviews, 2004) .
Mathematics --- Mathematical physics --- Fluid mechanics --- Matter physics --- Planning (firm) --- eenheden --- mathematische modellen --- wiskunde --- ingenieurswetenschappen --- fysica --- mechanica --- vloeistoffen
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Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive of alternative methodologies. This book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows. It clearly presents the salient physical ideas and the mathematical ramifications with exercises designed to be an integral part of the text. By showing the basic theoretical framework which has developed as a result of the study of viscous flows, the book should be ideal reading for students of applied mathematics who should then be able to delve further into the subject and be well placed to exploit mathematical ideas throughout the whole of applied science.
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This volume is the Proceedings of the European Conference on Mathematics for Industry held in London in June 2008. The aim of the meeting was to reinforce the role of mathematics as an overarching resource for industry and business. Contributions cover a wide range of mathematical techniques and the applications include manufacturing and technology, finance and policy-making, networks, medicine, and sport.
Statistical science --- Partial differential equations --- Operational research. Game theory --- Numerical analysis --- Mathematical statistics --- Probability theory --- Mathematics --- Business economics --- Computer science --- Computer. Automation --- differentiaalvergelijkingen --- waarschijnlijkheidstheorie --- stochastische analyse --- computers --- informatica --- statistiek --- econometrie --- wiskunde --- informaticaonderzoek --- kansrekening --- numerieke analyse
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This volume is the Proceedings of the European Conference on Mathematics for Industry held in London in June 2008. The aim of the meeting was to reinforce the role of mathematics as an overarching resource for industry and business. Contributions cover a wide range of mathematical techniques and the applications include manufacturing and technology, finance and policy-making, networks, medicine, and sport.
Statistical science --- Partial differential equations --- Operational research. Game theory --- Numerical analysis --- Mathematical statistics --- Probability theory --- Mathematics --- Business economics --- Computer science --- Computer. Automation --- differentiaalvergelijkingen --- waarschijnlijkheidstheorie --- stochastische analyse --- computers --- informatica --- statistiek --- econometrie --- wiskunde --- informaticaonderzoek --- kansrekening --- numerieke analyse
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