Wave mechanics Books

Book SynopsisThis book introduces physics to a first year undergraduate in the language of mathematics. As such it aims to give a mathematical foundation to the physics taught pre-university, as well as extending it to the skills and disciplines approached during a first degree course in physical science or engineering. It bridges two gaps in modern education - between the level of difficulty in pre-university study and undergraduate study, and between mathematics and physics. Many of the concepts are revised or introduced in the course of ''workshop'' questions which are an integral part of the text. Fully explained solutions to these workshops are given as a substantial appendix to the book. The student will be enabled to study classical mechanics in terms of vector calculus, fields in terms of line and surface integrals, oscillations and waves in terms of complex exponentials and so on. As far as we are aware, this book is unique in its aim, its content, and its approach.Trade ReviewThis book is highly recommended for first-year undergraduate students. * Contemporary Physics *The gap in knowledge and understanding between A-level exit and University entrance in Physics and Engineering has long been a concern to both school teachers and University tutors. 'The Language of Physics' is thus warmly to be welcomed, filling as it does the growing divide between general A-level texts and specialised undergraduate books. 6th formers wanting to prepare for University entrance in the applied mathematical and physical sciences should read 'The Language of Physics' to open their eyes to the sheer beauty of their subject, presented here in a straightforward and elegant manner. Confused first year science undergraduates will also find it invaluable in piecing together a wide range of seemingly disparate topics in a stylish and concise way. * Stephen Payne, University of Oxford *This is an excellently written textbook that explains very clearly how to describe physical processes in terms of mathematics. This is an essential skill that undergraduates need to acquire and there are many illuminating problems given on mechanics, fields, rotation, oscillations and waves, circuits, and thermal physics. While it is principally aimed at first year undergraduates in physics or engineering, it would also be a very useful preparatory textbook for students about to start at university. It is highly recommended. * Nick Jelley, University of Oxford *Table of Contents1. Linear Mechanics ; 2. Fields ; 3. Rotation ; 4. Oscillations & Waves ; 5. Circuits ; 6. Thermal Physics ; 7. Miscellany ; 8. Summary of Equations ; Workshop Solutions

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Book SynopsisSound is integral to how we experience the world, in the form of noise as well as music. But what is sound? What is the physical basis of pitch and harmony? And how are sound waves exploited in musical instruments? In this Very Short Introduction Mike Goldsmith looks at the science of sound and explores sound in different contexts, covering the audible and inaudible, sound underground and underwater, accoustic and electric, and hearing in humans and animals. He also considers the problem of sound out of place - noise and its reduction.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Trade ReviewSound: A Very Short Introduction contains an excellent balance of science and story, and illuminates the reader about many facets of this broad topic. * Ray Eddy, H-Podcast *Wow! This book is nice...and cute...I highly recommend this book. Perhaps this is the best general book discussing "acoustics" in a very elementary sense. * Richard J. Peppin, Rion Co. Ltd. and Engineers for Change, Inc. *The book has something for everyone, and the author has done a remarkable job in assembling so much information and condensing it into a truly pocket-size edition. I do not know of another title that covers so much about sound in a nontechnical yet scientific manner. * Michael Greenfield, Physics Today *Table of Contents1. Past sounds ; 2. The nature of sound ; 3. Sounds in harmony ; 4. Hearing sound ; 5. Electronic sound ; 6. Ultrasound and infrasound ; 7. Sound underwater and underground ; 8. Sound out of place ; Further reading ; Index

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Book SynopsisTable of ContentsUPDATED! I. VIBRATIONS, WAVES, AND SOUNDS. 1. What is Sound? 2. Vibrating Systems. 3. Waves. 4. Resonance. II. PERCEPTION AND MEASUREMENT OF SOUND. 5. Hearing. 6. Sound Pressure, Power, and Loudness. 7. Pitch and Timbre. 8. Combination Tones and Harmony. 9. Musical Scales and Temperament. III. MUSICAL INSTRUMENTS. 10. String Instruments. 11. Brass Instruments. 12. Woodwind Instruments. 13. Percussion Instruments. 14. Keyboard Instruments. IV. THE HUMAN VOICE. 15. Speech Production. 16. Speech Recognition, Analysis, and Synthesis. 17. Singing. REVISED! V. ELECTROACOUSTICS. 18. Electronic Circuits. 19. Loudspeakers. 20. Microphones, Amplifiers, and Tuners. 21. Digital Circuits and Techniques. 22. Sound Recording. REVISED! VI. ROOM ACOUSTICS. 23. Auditorium Acoustics. 24. Electronic Reinforcement of Sound. 25. Small Rooms, Home Listening Rooms and Recording Studios. NEW! VII. ELECTRONIC AND COMPUTER MUSIC. 26. Music Technology and its Origins. 27. Analog Electronic Music. 28. Digital Audio and Processing. 29. Computer Music and Virtual Acoustics. REVISED! VIII. ENVIRONMENTAL SOUND. 30. Noise in the Environment. 31. Effects of Noise on People. 32. Control of Noise.

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Book SynopsisIn this audacious book, Ana María Ochoa Gautier explores how listening has been central to the production of notions of language, music, voice, and sound that determine the politics of life. Drawing primarily from nineteenth-century Colombian sources, Ochoa Gautier locates sounds produced by different living entities at the juncture of the human and nonhuman. Her 'acoustically tuned' analysis of a wide array of texts reveals multiple debates on the nature of the aural. These discussions were central to a politics of the voice harnessed in the service of the production of different notions of personhood and belonging. In Ochoa Gautier''s groundbreaking work, Latin America and the Caribbean emerge as a historical site where the politics of life and the politics of expression inextricably entangle the musical and the linguistic, knowledge and the sensorial. Trade Review"Speaking from the intersection of sound studies, Latin American studies, and the history of natural history and musicology, this book shifts the terrain upon which all of those fields have comfortably settled. Scholars of sound studies will need to take note of Ochoa’s challenges to European or North American framings." -- Alejandra Bronfman * Hispanic American Historical Review *“Gautier’s work is tremendously useful. A challenging and rewarding read, I recommend her work to persons who are seriously interested in new approaches to retelling the history of any nation.” -- Julian Ledford * AmeriQuests *"Aurality is a significant contribution to the burgeoning field of sound studies. Ana Marıa Ochoa Gautier adeptly guides the reader across complex scales of analysis using well-selected historical case studies.... Aurality achieves its goal of establishing a critical vantage point for making sense of the contemporary transformations that are shaping the 21st." -- William Hope * American Ethnologist *"Ochoa Gautier provides a vitally important account of the intricate and heterogeneous modes of knowing, being, becoming, and belonging that continue to resonate in the postcolonial lettered city." -- Leonardo Cardoso * American Anthropologist *"The volume is a must for enthusiasts of sound studies and/or Colombian history. Ochoa Gautier has done a fine job chronicling the way in which the aural played a key role in the definition of a relation between humankind and the body politics of the nation-state. It deserves wide recognition and ample endorsement." -- Héctor Fernández L'Hoeste * EIAL *"This book raises important questions about the role of sound and efforts to categorise it in defining the relationship between the human and the non-human, and between different social groups within Colombian society.... Aurality will undoubtedly serve the specialist researcher well and it is to be hoped that the rich lines of inquiry it opens up will receive further attention in future." -- Anna Cant * Journal of Latin American Studies *"Aurality is a rich and complex book that raises important questions about colonialism and modernity, personhood and nation. Ochoa Gautier has made an important contribution to Colombian historiography, certainly meeting her aim to explore 'the relationship between listening and the voice as a part of the history of the relation between the colonial and the modern'. . . . It will be difficult to read history in the same way again." -- Meri L. Clark * The Latin Americanist *Table of ContentsPreface and Acknowledgments ix Introduction. The Ear and the Voice in the Lettered City's Geophysical History 1 1. On Howls and Pitches 31 2. On Popular Song 77 3. On the Ethnographic Ear 123 4. On Vocal Immunity 165 Epilogue. The Oral in the Aural 207 Notes 215 References 231 Index 252

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Book SynopsisA captivating exploration of how underwater animals tap into sound to survive, and a clarion call for humans to address the ways we invade these critical soundscapes from an award-winning science writer. For centuries humans ignored sound in the silent world' of the ocean, assuming that what we couldn't perceive, didn't exist. But we couldn't have been more wrong. Marine scientists now have the technology to record and study the complex interplay of the myriad sounds in the sea. Finally, we can trace how sounds travel with the currents, bounce from the seafloor and surface, bend with temperature, and even saltiness; how sounds help marine life survive; and how human noise can transform entire marine ecosystems. In Sing Like Fish, award-winning science journalist Amorina Kingdon synthesises historical discoveries with the latest research in a clear and compelling portrait of this sonic undersea world. From plainfin midshipman fish, whose swim-bladder drumming is so loud it keeps ho

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Book SynopsisHow do we understand culture and shape its future? How do we cross the bridge between culture as ideas and feelings and physical, cultural objects, all this within the endless variety and complexity of modern and traditional societies? This book proposes a Physical Culture Theory, taking culture as a self-organizing impulse pattern of electric forces. Bridging the gap to consciousness, the Physical Culture Theory proposes that consciousness content, what we think, hear, feel, or see is also just this: spatio-temporal electric fields. Music is a perfect candidate to elaborate on such a Physical Culture Theory. Music is all three, musical instrument acoustics, music psychology, and music ethnology. They emerge into living musical systems like all life is self-organization. Therefore the Physical Culture Theory knows no split between nature and nurture, hard and soft sciences, brains and musical instruments. It formulates mathematically complex systems as Physical Models rather than Artificial Intelligence. It includes ethical rules for maintaining life and finds culture and arts to be Human Rights. Enlarging these ideas and mathematical methods into all fields of culture, ecology, economy, or the like will be the task for the next decades to come.Table of ContentsSome Fundamentals of Musical Acoustics.- Some Fundamentals of Music Psychology.- Some Fundamentals of Comparative Musicology.- Impulses.- Turbulence.- Saxophone.- More wind instruments.- Friction Instruments.- Guitars and Plucked String Instruments.- The Human Voice.- Neurophysiology of Music.- Music and Consciousness.- Reconstructing Impulses - The Ear and the Auditory Pathway.- Timbre.- Rhythm, Musical Form, and Memory.- Music, Meaning, and Emotion.- Physical Culture Theory.

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Book SynopsisTable of ContentsI. Introduction 1. Arvo Pärt and the Art of Embodiment | 3 Peter C. Bouteneff, Jeffers Engelhardt, and Robert Saler 2. The Sound—and Hearing—of Arvo Pärt | 8 Peter C. Bouteneff II. History and Context 3. Sounding Structure, Structured Sound | 25 Toomas Siitan 4. Colorful Dreams: Exploring Pärt’s Soviet Film Music | 36 Christopher J. May 5. Arvo Pärt’s Tintinnabuli and the 1970s Soviet Underground | 68 Kevin C. Karnes III. Performance 6. The Pärt Sound | 89 Paul Hillier, in conversation with Peter Bouteneff 7. The Rest Is Silence | 107 Andrew Shenton IV. Materiality and Phenomenology 8. Vibrating, and Silent: Listening to the Material Acoustics of Tintinnabulation | 129 Jeffers Engelhardt 9. Medieval Pärt | 154 Andrew Albin 10. The Piano and the Performing Body in the Music of Arvo Pärt: Phenomenological Perspectives | 177 Maria Cizmic and Adriana Helbig V. Theology 11. Presence, Absence, and the Ambiguities of Ambiance: Theological Discourse and the Move to Sound in Pärt Studies | 197 Robert Saler 12. The Materiality of Sound and the Theology of the Incarnation in the Music of Arvo Pärt | 208 Ivan Moody 13. Christian Liturgical Chant and the Musical Reorientation of Arvo Pärt | 220 Alexander Lingas 14. In the Beginning There Was Sound: Hearing, Tintinnabuli, and Musical Meaning in Sufism | 232 Sevin Huriye Yaraman List of Contributors | 243 Index of Terms | 247 Index of Persons | 252 Works by Other Composers | 256 Works by Arvo Pärt | 257

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Book SynopsisThe book presents a broad-scope analysis of piezoelectric electromechanical transducers and the related aspects of practical transducer design for underwater applications. It uses an energy method for analyzing transducer problems that provides the physical insight important for the understanding of electromechanical devices. Application of the method is first illustrated with transducer examples that can be modeled as systems with a single degree of freedom, (such as spheres, short cylinders, bars and flexural disks and plates made of piezoelectric ceramics). Thereupon, transducers are modeled as devices with multiple degrees of freedom. In all these cases, results of modeling are presented in the form of equivalent electromechanical circuits convenient for the calculation of the transducers’ operational characteristics. Special focus is made on the effects of coupled vibrations in mechanical systems on transducer performance. The book also provides extensive coverage of acoustic radiation including acoustic interaction between the transducers. The book is inherently multidisciplinary. It provides essential background regarding the vibration of elastic passive and piezoelectric bodies, piezoelectricity, acoustic radiation, and transducer characterization. Scientists and engineers working in the field of electroacoustics and those involved in education in the field will find this material useful not only for underwater acoustics, but also for electromechanics, energy conversion and medical ultrasonics. Part I contains an introduction to the energy method illustrated with examples of one degree of freedom transducers. It is self-sufficient and can be read independently.

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Book SynopsisWaves are essential phenomena in most scientific and engineering disciplines, such as electromagnetism and optics, and different mechanics including fluid, solid, structural, quantum, etc. They appear in linear and nonlinear systems. Some can be observed directly and others are not. The features of the waves are usually described by solutions to either linear or nonlinear partial differential equations, which are fundamental to the students and researchers.Generic equations, describing wave and pulse propagation in linear and nonlinear systems, are introduced and analyzed as initial/boundary value problems. These systems cover the general properties of non-dispersive and dispersive, uniform and non-uniform, with/without dissipations. Methods of analyses are introduced and illustrated with analytical solutions. Wave-wave and wave-particle interactions ascribed to the nonlinearity of media (such as plasma) are discussed in the final chapter.This interdisciplinary textbook is essential reading for anyone in above mentioned disciplines. It was prepared to provide students with an understanding of waves and methods of solving wave propagation problems. The presentation is self-contained and should be read without difficulty by those who have adequate preparation in classic mechanics. The selection of topics and the focus given to each provide essential materials for a lecturer to cover the bases in a linear/nonlinear wave course.

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Book SynopsisBinge Drinking has been argued to be the number one public health hazard and the primary source of preventable morbidity and mortality for the the more than 6 million college students in the United States. Binge drinking often begins in adolescence and continues into young adulthood. Recent estimates indicate that 1 in 5 adolescents and 1 in 2 college students binge drink. Binge drinking has resulted in numerous alcohol-related tragedies, including acute alcohol poisonings, falls, and automobile collisions, and is often associated with other high-risk behaviours. This comprehensive resource contains all of the newest information that is now known about binge drinking and how this type of alcohol consumption (drinking to get drunk) differs from social drinking and chronic drinking and alcoholism. All of the recent research on this topic are included, such as the results from recent animal studies that indicate that binge drinking may be more damaging to an adolescent brain compared to an adult brain and how changes in trends in alcohol consumption (such as mixing energy drinks with alcohol) maybe be exacerbating this behaviour. finally, recent successful intervention techniques both on the individual level (eg: motivational interviewing in the emergency room) to the institutional level (e.g., programs to reduce binge drinking on college campuses) are described. This book is an excellent resource for any professional who comes in contact with the problems associated with this type of alcohol consumption.

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Book SynopsisThe book presents a broad-scope analysis of piezoelectric electromechanical transducers and the related aspects of practical transducer design for underwater applications. It uses an energy method for analyzing transducer problems that provides the physical insight important for the understanding of electromechanical devices. Application of the method is first illustrated with transducer examples that can be modeled as systems with a single degree of freedom, (such as spheres, short cylinders, bars and flexural disks and plates made of piezoelectric ceramics). Thereupon, transducers are modeled as devices with multiple degrees of freedom. In all these cases, results of modeling are presented in the form of equivalent electromechanical circuits convenient for the calculation of the transducers’ operational characteristics. Special focus is made on the effects of coupled vibrations in mechanical systems on transducer performance. The book also provides extensive coverage of acoustic radiation including acoustic interaction between the transducers. The book is inherently multidisciplinary. It provides essential background regarding the vibration of elastic passive and piezoelectric bodies, piezoelectricity, acoustic radiation, and transducer characterization. Scientists and engineers working in the field of electroacoustics and those involved in education in the field will find this material useful not only for underwater acoustics, but also for electromechanics, energy conversion and medical ultrasonics.

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Book SynopsisThis book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach.The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing.The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.Table of ContentsSpace-time approximations for linear acoustic, elastic, and electro-magnetic wave equations.- Local wellposedness and long-time behavior of quasilinear Maxwell equations.- Error analysis of second-order time integration methods for discontinuous Galerkin discretizations of Friedrichs’ systems.- An abstract framework for inverse wave problems with applications.

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Book SynopsisAn introduction to mathematical aspects of fluid mechanics that provides a compact and self-contained course on the classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.

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Book SynopsisCombined with access to an interactive website that immerses the reader in mid-18th century Pennsylvania, and framed with an autobiographical narrative, Moravian Soundscapes recovers the roles of sound and music in Moravian communities and provides a road map for similar studies of other places and religious traditions in the future.Trade Review"Moravian Soundscapes is an important contribution to our understanding of the musical dimension of European religious subcultures in colonial-era North America. . . . Eyerly positions Moravian song and sound at the center of this history and shows how its creators used it to impose order on their social and natural worlds."—Olivia Bloechl, author of Native American Song at the Frontiers of Early Modern Music"Moravian Soundscapes brings a compelling and necessary new approach to the study of music, sound, space, and colonial encounter in early America. Combining historical research, sound mapping, and autobiographical reflection, Eyerly reveals the way in which listening and singing were integral to European and Native Moravians' understanding of their environments, experiences of faith, and construction of community. In doing so, she offers an intimate exploration of how family, place, and music intertwine."—Glenda Goodman, University of Pennsylvania"Eyerly's Moravian Soundscapes is a stunning achievement that deftly crosses disciplinary boundaries to offer a compellingly immersive journey into eighteenth century Moravian communities as experienced by German and Native peoples. Woven throughout is Eyerly's own family story, which reminds readers that all history writing gains its fuel in our own more recent pasts."—Rachel Wheeler, Indiana University"Part personal memoir, mostly deep immersion in the eighteenth-century landscapes where European and Native American ways of being briefly came together, Moravian Soundscapes is a major achievement. With its accompanying website, it comes as close as anyone ever has to re-creating a lost sensory world—and to showing why such a re-creation matters in our own time."—Daniel K. Richter, McNeil Center for Early American Studies, University of Pennsylvania"Beautifully written and expertly researched, this remarkable volume with its companion digital components will change the way in which the eighteenth-century landscapes of North America's mid-Atlantic are navigated historically, acoustically, and experientially. Through listening to the sounds of history and ethically reconstructing those traces of past acoustic experience, Sarah Eyerly redirects the conversation about Native American and European cultural and linguistic encounter, the consequences of settler colonialism, and religious experience. A must-read for Moravian scholars and musicologists alike!"—Katherine Faull, Bucknell University"Eyerly accomplishes what few scholars thought possible—creating a 'sonic link' to early America and transporting us into the sensory and spiritual world that German-speaking Moravian missionaries and Native American Christians built and inhabited for a brief time in mid-eighteenth century Pennsylvania. Entering through the portal of her personal connections to this historical aural landscape, Eyerly's marvelous book and its compendium website transform readers into imaginative witnesses and embody a lost knowledge through digital methods, painstaking research, and a sensitive rendering of a place and time full of violence and hope. Moravian Soundscapes is an intellectual, auditory, and emotional revelation."—Patrick Erben, University of West Georgia"Moravian Soundscapes is a fresh, new kind of history, combining painstaking research, imaginative reconstruction, and technological wizardry. Eyerly's approach to acoustic ecology brings the reader much closer to the historical actors than I had thought possible. Her writing throughout is beautiful, as she weaves her personal story of family and place into her historical narrative, making a persuasive case for history writing as an interactive endeavor."—John Demos, Samuel Knight Professor Emeritus of History, Yale University"Eyerly's deeply personal connection to the subject matter, her ability to convey an understanding of the culture of the Moravian community without sounding overly didactic, and her meticulous scholarship result in finely crafted prose which evokes a palette of sounds, fragrances, and emotions of the time and space of the early Moravian Pennsylvanian missions."—Kristi Bergland - University of Minnesota, Music Reference Services QuarterlyTable of ContentsAbout the Companion Website Acknowledgments Note on Naming, Terminology, and Archival Sources Prologue: The Pennsylvania Wilds Introduction: Sounding New Histories of the Moravian Missions Peale 1 Penn's Woods Bethlehem 2 Friends & Strangers Herrnhut 3 Sound & Spirit Moravian Run 4 1782 Epilogue: Petquotting Glossary: A Moravian Vocabulary Bibliography Index

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Book SynopsisCombined with access to an interactive website that immerses the reader in mid-18th century Pennsylvania, and framed with an autobiographical narrative, Moravian Soundscapes recovers the roles of sound and music in Moravian communities and provides a road map for similar studies of other places and religious traditions in the future.Trade Review"Moravian Soundscapes is an important contribution to our understanding of the musical dimension of European religious subcultures in colonial-era North America. . . . Eyerly positions Moravian song and sound at the center of this history and shows how its creators used it to impose order on their social and natural worlds."—Olivia Bloechl, author of Native American Song at the Frontiers of Early Modern Music"Moravian Soundscapes brings a compelling and necessary new approach to the study of music, sound, space, and colonial encounter in early America. Combining historical research, sound mapping, and autobiographical reflection, Eyerly reveals the way in which listening and singing were integral to European and Native Moravians' understanding of their environments, experiences of faith, and construction of community. In doing so, she offers an intimate exploration of how family, place, and music intertwine."—Glenda Goodman, University of Pennsylvania"Eyerly's Moravian Soundscapes is a stunning achievement that deftly crosses disciplinary boundaries to offer a compellingly immersive journey into eighteenth century Moravian communities as experienced by German and Native peoples. Woven throughout is Eyerly's own family story, which reminds readers that all history writing gains its fuel in our own more recent pasts."—Rachel Wheeler, Indiana University"Part personal memoir, mostly deep immersion in the eighteenth-century landscapes where European and Native American ways of being briefly came together, Moravian Soundscapes is a major achievement. With its accompanying website, it comes as close as anyone ever has to re-creating a lost sensory world—and to showing why such a re-creation matters in our own time."—Daniel K. Richter, McNeil Center for Early American Studies, University of Pennsylvania"Beautifully written and expertly researched, this remarkable volume with its companion digital components will change the way in which the eighteenth-century landscapes of North America's mid-Atlantic are navigated historically, acoustically, and experientially. Through listening to the sounds of history and ethically reconstructing those traces of past acoustic experience, Sarah Eyerly redirects the conversation about Native American and European cultural and linguistic encounter, the consequences of settler colonialism, and religious experience. A must-read for Moravian scholars and musicologists alike!"—Katherine Faull, Bucknell University"Eyerly accomplishes what few scholars thought possible—creating a 'sonic link' to early America and transporting us into the sensory and spiritual world that German-speaking Moravian missionaries and Native American Christians built and inhabited for a brief time in mid-eighteenth century Pennsylvania. Entering through the portal of her personal connections to this historical aural landscape, Eyerly's marvelous book and its compendium website transform readers into imaginative witnesses and embody a lost knowledge through digital methods, painstaking research, and a sensitive rendering of a place and time full of violence and hope. Moravian Soundscapes is an intellectual, auditory, and emotional revelation."—Patrick Erben, University of West Georgia"Moravian Soundscapes is a fresh, new kind of history, combining painstaking research, imaginative reconstruction, and technological wizardry. Eyerly's approach to acoustic ecology brings the reader much closer to the historical actors than I had thought possible. Her writing throughout is beautiful, as she weaves her personal story of family and place into her historical narrative, making a persuasive case for history writing as an interactive endeavor."—John Demos, Samuel Knight Professor Emeritus of History, Yale University"Eyerly's deeply personal connection to the subject matter, her ability to convey an understanding of the culture of the Moravian community without sounding overly didactic, and her meticulous scholarship result in finely crafted prose which evokes a palette of sounds, fragrances, and emotions of the time and space of the early Moravian Pennsylvanian missions."—Kristi Bergland - University of Minnesota, Music Reference Services QuarterlyTable of ContentsAbout the Companion Website Acknowledgments Note on Naming, Terminology, and Archival Sources Prologue: The Pennsylvania Wilds Introduction: Sounding New Histories of the Moravian Missions Peale 1 Penn's Woods Bethlehem 2 Friends & Strangers Herrnhut 3 Sound & Spirit Moravian Run 4 1782 Epilogue: Petquotting Glossary: A Moravian Vocabulary Bibliography Index

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Book SynopsisHarmonic distortion problems include equipment overheating, motor failures, capacitor failure and inaccurate power metering. The topic of power system harmonics was covered for the first time 20 years ago and the first edition has become a standard reference work in this area.Table of ContentsPreface. 1. Subject Definition and Objectives. 2. Harmonic Analysis. 3. Harmonic Sources. 4. Effects of Harmonic Distortion. 5. Harmonic Monitoring. 6. Harmonic Elimination. 7. Computation of Harmonic Flows. 8. Advanced Harmonic Assessment. Index.

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Book SynopsisThis introduction to a wide range of theoretical studies in fluid dynamics, covers a great deal of material and offers updated information on topics such as stability and turbulence. It surveys nearly the entire field of classical fluid dynamics and discusses the various conceptual and analytical models of fluid flow.Trade Review"I know of no other modern book in theoretical fluid dynamics that covers so much material so well." (Physics Today, November 1998)Table of ContentsReview of Basic Concepts and Equations of Fluid Dynamics. Dynamics of Inviscid Incompressible Fluid Flows. Dynamics of Inviscid Compressible Fluid Flows. Dynamics of Viscous Fluid Flows. Hydrodynamic Stability. Dynamics of Turbulence. Bibliography. Index.

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Book SynopsisUp-to-date coverage of the analysis and applications of coplanar waveguides to microwave circuits and antennas The unique feature of coplanar waveguides, as opposed to more conventional waveguides, is their uniplanar construction, in which all of the conductors are aligned on the same side of the substrate. This feature simplifies manufacturing and allows faster and less expensive characterization using on-wafer techniques. Coplanar Waveguide Circuits, Components, and Systems is an engineer''s complete resource, collecting all of the available data on the subject. Rainee Simons thoroughly discusses propagation parameters for conventional coplanar waveguides and includes valuable details such as the derivation of the fundamental equations, physical explanations, and numerical examples. Coverage also includes: Discontinuities and circuit elements Transitions to other transmission media Directional couplers, hybrids, and magic T Trade Review"A resource for engineers, collecting all available data on the subject of coplanar waveguide circuits, components, and systems." (SciTech Book News Vol. 25, No. 2 June 2001)Table of ContentsPreface. Introduction. Conventional Coplanar Waveguide. Conductor-Backed Coplanar Waveguide. Coplanar Waveguide with Finite-Width Ground Planes. Coplanar Waveguide Suspended Inside A Conducting Enclosure. Coplanar Striplines. Microshield Lines and Coupled Coplanar Waveguide. Attenuation Characteristics of Conventional, Micromachined, and Superconducting Coplanar Waveguides. Coplanar Waveguide Discontinuities and Circuit Elements. Coplanar Waveguide Transitions. Directional Couplers, Hybrids, and Magic-Ts. Coplanar Waveguide Applications. References. Index.

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Book SynopsisProvides a lot of reading pleasure and many new insights. -Journal of Molecular Structure This is the most entertaining, stimulating and useful book which can be thoroughly recommended to anyone with an interest in computer simulation. -Contemporary Physics A very useful introduction . . . more interesting to read than the often dry equation-based texts. -Journal of the American Chemical Society Written especially for the novice, Molecular Dynamics Simulation demonstrates how molecular dynamics simulations work and how to perform them, focusing on how to devise a model for specific molecules and then how to simulate their movements using a computer. This book provides a collection of methods that until now have been scattered through the literature of the last 25 years. It reviews elements of sampling theory and discusses how modern notions of chaos and nonlinear dynamics explain the workings of molecular dynamics. Stresses easy-to-use molecules Table of ContentsFundamentals. Hard Spheres. Finite-Difference Methods. Soft Spheres. Static Properties. Dynamic Properties. Appendices. Notation. Bibliography. Index.

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Book SynopsisA practical guide to cutting-edge techniques for flow measurement and control Unlike any other book on the subject, this volume employs practical applications to illustrate flow measurement techniques in industrial processes.Table of ContentsGeneral Concepts of Flow and Flow Instrumentation. Inferential Flow Measurement. Two-Phase Flow Applications. Flow Measurements in Harsh Environments. Using Modeling to Improve Mass Flowmetering Accuracy. Flowmeter Calibration Methods. A New Gravimetric Flow Calibrator. Index.

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Book SynopsisBecause environmental acoustics has a complex mathematical basis,it is often difficult to determine whether acousticalrecommendations are valid. Handbook of Environmental Acousticssimplifies this decision-making process and provides easy-to-followexplanations of acoustic terminology, noise control design, andregulatory noise issues. The book clarifies key aspects ofenvironmental noise in basic language, covering: * Common noise sources--including the risk of exposure to commondaily environmental noise sources * Current noise regulations, guidelines, andstandards--illustrating all key points * Acoustic terminology and environmental noisedescriptors--providing a foundation for understanding noiseissues * Effects of noise on people and animals--emphasizing theimportance of restricting noise exposure * Relevant noise rating methods--clarifiying the use of noisemetrics * Construction and building code requirements--explaining currentrequirements and featuring tips onTable of ContentsAcoustic Terminology. Noise Descriptors. Noise Measurement. Noise Control Terminology and Design. Noise Regulations, Guidelines, and Ordinances. Common Noise Sources. Construction Issues. Appendix. Glossary. Index.

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Book SynopsisINTRODUCTORY APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS With Emphasis on Wave Propagation and Diffusion This is the ideal text for students and professionals who have somefamiliarity with partial differential equations, and who now wishto consolidate and expand their knowledge. Unlike most other textson this topic, it interweaves prior knowledge of mathematics andphysics, especially heat conduction and wave motion, into apresentation that demonstrates their interdependence. The result isa superb teaching text that reinforces the reader''s understandingof both mathematics and physics. Rather than presenting themathematics in isolation and out of context, problems in this textare framed to show how partial differential equations can be usedto obtain specific information about the physical system beinganalyzed. Designed for upper-level students, professionals and researchers inengineering, applied mathematics, physics, and optics, ProfessorLamb''s text is luTable of ContentsOne-Dimensional Problems--Separation of Variables. Laplace Transform Method. Two and Three Dimensions. Green's Functions. Spherical Geometry. Fourier Transform Methods. Perturbation Methods. Generalizations and First Order Equations. Selected Topics. Appendices. References. Index.

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Book SynopsisThis book provides a new viewpoint for the study of vibrations exhibited by mechanical and structural systems. Tight integration of mathematical software makes it possible to address real world complexity in a manner that is readily accessible to the reader.Trade Review"This book provides an accessible, modern approach to vibrations" (La Doc STI, May 2001) "innovative, well-written and well-produced" (The Aeronautical Journal, November 2001)Table of ContentsEquations of Motion for Discrete Systems Transient Response of One-Degree-of-Freedom Systems Steady-State Response to Harmonic Excitation Modal Analysis of Multi-Degree-of-Freedom Systems Harmonic Exicatation of Multi-Degree-of-Freedom Systems Vibration of Elastic Bars: The Ritz Method and the Rayleigh Ratio Field Descriptions for Vibrating Bars The Finite Element Method Substructuring Concepts Damped Modal Analysis Modal Analysis of Gyroscopic Systems Introduction to Rotordynamics Calculus of Variations

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Book SynopsisThe respected classic, now in a handy paperback edition Originally published in 1971, Harry Van Trees'' Detection, Estimation, and Modulation Theory, Part II is one of the classic references in the area of nonlinear modulation theory and analog communication. Highly readable and well organized, it is as valuable today for professionals, researchers, and students interested in the estimation of continuous waveforms as it was over thirty years ago. Part II focuses on the problem of finding the optimum estimate of a waveform which is embedded in a signal in a nonlinear manner. The following topics are covered in detail: Bayesian Cramér-Rao bound on the mean-square estimation error Optimum demodulators for frequency-modulation systems Phase estimation: the synchronization problem Fokker-Planck techniques for nonlinear analysis in the presence of noise Optimum angle-modulation systems Rate distortion boTable of ContentsIntroduction. Optimum Demodulators. Phase Estimation: The Synchronization Problem. Frequency Modulation. Optimum Angle-Modulation Systems. Comparison of Transmission Systems. Nonlinear Estimation Theory: Alternative Approaches. Analog Communication over Randomly Time-varying Channels. Discussion. Appendix: State Variable Analysis Procedures. Glossary. Author Index. Subject Index.

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Book SynopsisIntended for coastal engineers and marine scientists who desire to develop a fundamental physical understanding of ocean waves and be able to apply this knowledge to ocean and coastal analysis and design. Provides an introduction to the physical processes of ocean wave mechanics, an understanding of the basic techniques for wave analysis, techniques for practical calculation and prediction of waves and applied wave forecasting.Table of ContentsSea Surface Gravity Waves. Small Amplitude Wave Theory and Characteristics. Two-Dimensional Wave Transformation. Finite Amplitude Wave Theory. Three-Dimensional Wave Transformations. Wind-Generated Waves. Design Wave Determination. Wave-Structure Interaction. Long Waves. Laboratory Investigation of Surface Waves. Index.

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Book SynopsisOffers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces.Table of ContentsBasic Hydrodynamics. The Two Basic Approximate Theories. WAVES SIMPLE HARMONIC IN THE TIME. Simple Harmonic Oscillations in Water of Constant Depth. Waves Maintained by Simple Harmonic Surface Pressure in Water ofUniform Depth: Forced Oscillations. Waves on Sloping Beaches and Past Obstacles. MOTIONS STARTING FROM REST: TRANSIENTS. Unsteady Motions. WAVES ON A RUNNING STREAM: SHIP WAVES. Two-Dimensional Waves on a Running Stream in Water of UniformDepth. Waves Caused by a Moving Pressure Point: Kelvin's Theory of theWave Pattern Created by a Moving Ship. The Motion of a Ship, as a Floating Rigid Body, in a Seaway. Long Waves in Shallow Water. Mathematical Hydraulics. Problems in Which Free Surface Conditions Are Satisfied Exactly:The Breaking of a Dam; Levi-Civita's Theory. Bibliography. Indexes.

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Book SynopsisThis revised text covers electromagnetic waves and fields in great detail. It begins with a review of static electric and magnetic fields, providing results useful for static fields and time-dependent field problems in which the size of the device is small compared with the wavelength.Table of ContentsStationary Electric Fields. Stationary Magnetic Fields. Maxwell's Equations. The Electromagnetics of Circuits. Transmission Lines. Plane-Wave Propagation and Reflection. Two- and Three-Dimensional Boundary Value Problems. Waveguides with Cylindrical Conducting Boundaries. Special Waveguide Types. Resonant Cavities. Microwave Networks. Radiation. Electromagnetic Properties of Materials. Optics. Appendices. Index.

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Book SynopsisThe aim of this book is to describe the methods leading to mechanical and numerical modelling of the linear vibrations of elastic structures coupled with internal fluids (sloshing, hydroelasticity and structural acoustics). It is characteristic of the problems under consideration that they are multidisciplinary involving structural and fluid representation and related numerical aspects. The problems are solved by direct resolution of the coupled systems by finite element methods and modal reduction procedures using the eigenmodes of ?elementary subsystems?. The numerical methods described in this book have applications in various engineering disciplines such as the automotive and aerospace industries, civil engineering, nuclear engineering and bioengineering.Table of ContentsVibrations of Elastic Structures. Linearized Equations of Small Movements of Inviscid Fluids. Sloshing Modes. Sloshing Under Surface Tension. Hydroelastic Vibrations. Hydroelastic Vibrations Under Gravity. Acoustic Cavity Modes. Structural-Acoustic Vibrations. Modal Reduction in Fluid-Structure Interaction. Bibliography. Index.

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Book SynopsisCurrent CFD problems of interest are typically of a large-scalenature, characterized by a size and complexity demanding thecombined efforts of interdisciplinary teams from engineering,mathematics, computer science and physics. This book thus groups aprestigious cross-section of internationally known scientistsinvited to expound on the following themes: * Algorithms for vector, parallel and virtual-parallelarchitectures * Algorithms for massively parallel architectures * Convergence enhancement techniques, namely preconditionedinterative methods for implicit or fully-coupled approaches * Convergence enhancement techniques, such as defect correction,multigrid, formulation preconditioning and zonal methods * Application of these techniques to large-scale CFD analysis anddesign. This book should prove equally valuable for CFD developers,practitioners and graduate students.Table of ContentsPartial table of contents: CFD ALGORITHMS FOR PARALLEL AND VIRTUAL-PARALLELARCHITECTURES. Solving Large Incompressible Time-Dependent Flow Problems onScalable Parallel Systems (H. Daniels & A. Peters). CFD ALGORITHMS FOR VECTOR-PARALLEL AND MPP ARCHITECTURES. Compressible Navier-Stokes Solvers on MPPs (L. Fezoui, etal.). CONVERGENCE ENHANCEMENT TECHNIQUES 1: PRECONDITIONED ITERATIVESOLVERS FOR IMPLICIT AND FULLY-COUPLED METHODS. The Algebraic Multilevel Iteration Method: A Scalable and OptimalAlgorithm (O. Axelsson). Quasi-Minimal Residual Iterative Solvers for CFD (N. Nachtigal& B. Semeraro). CONVERGENCE ENHANCEMENT TECHNQIUES II: DEFECT CORRECTION,MULTIGRID, FORMULATION PRECONDITIONING AND ZONAL METHODS. Multigrid Methods for Turbomachinery Navier-Stokes Calculations (A.Arnone). APPLICATION TO LARGE-SCALE SIMULATION AND DESIGN INAEROSPACE. Unstructured Mesh Methods for Aerospace Applications (K. Morgan, etal.).

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Book SynopsisCovers much of the acoustics a student needs, without mathematics or scientific background.Choice Outstanding Academic Title A survey of intervals and scales, tone pitch, loudness and time in Western music raises many questions about the hearing mechanism and throws doubt on the conventional role of harmonics. James Beament's account of how musical sounds are coded by the ear and the brain's processing units, provides answers to most of these questions. It concludes that music started with simple instruments which voices imitated, and that the need to know sound direction determined the characteristics of hearing. This book will interest students, practising musicians and music psychologists, and assumes no scientific knowledge. The late ProfessorSir JAMES BEAMENT was a distinguished scientist and musician, who taught and examined music students at Cambridge University.Trade ReviewInformed by a broad expertise comprehending all of the disciplines for which human hearing is pertinent. Beament['s] model for the hearing of music...is not only the most speculative section of the book but also the most brilliant. Recommended warmly... it should find a niche in virtually every college, university and professional music library. * CHOICE *Table of ContentsPart 1 Preliminaries. Part 2 Aural archaeology. Part 3 Hearing selects intervals. Part 4 The beguiling harmonic theory. Part 5 The imitating voice. Part 6 Hearing simultaneous pitches. Part 7 Patterns in harmony. Part 8 Loudness: the basic dynamic scale. Part 9 Music through the hearing machine. Part 10 A sense of direction. Part 11 Time and rhythm. Part 12 Conclusions.

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Book SynopsisCovers the theory and practice of innovative new approaches to modelling acoustic propagation There are as many types of acoustic phenomena as there are media, from longitudinal pressure waves in a fluid to S and P waves in seismology. This text focuses on the application of computational methods to the fields of linear acoustics. Techniques for solving the linear wave equation in homogeneous medium are explored in depth, as are techniques for modelling wave propagation in inhomogeneous and anisotropic fluid medium from a source and scattering from objects. Written for both students and working engineers, this book features a unique pedagogical approach to acquainting readers with innovative numerical methods for developing computational procedures for solving problems in acoustics and for understanding linear acoustic propagation and scattering. Chapters follow a consistent format, beginning with a presentation of modelling paradigms, followed by descriptions oTable of ContentsSeries Preface ix 1 Introduction 1 2 Computation and Related Topics 5 2.1 Floating-Point Numbers 5 2.1.1 Representations of Numbers 5 2.1.2 Floating-Point Numbers 7 2.2 Computational Cost 9 2.3 Fidelity 11 2.4 Code Development 12 2.5 List of Open-Source Tools 16 2.6 Exercises 17 References 17 3 Derivation of the Wave Equation 19 3.1 Introduction 19 3.2 General Properties of Waves 20 3.3 One-Dimensional Waves on a String 23 3.4 Waves in Elastic Solids 26 3.5 Waves in Ideal Fluids 29 3.5.1 Setting Up the Derivation 29 3.5.2 A Simple Example 30 3.5.3 Linearized Equations 31 3.5.4 A Second-Order Equation from Differentiation 33 3.5.5 A Second-Order Equation from a Velocity Potential 34 3.5.6 Second-Order Equation without Perturbations 36 3.5.7 Special Form of the Operator 36 3.5.8 Discussion Regarding Fluid Acoustics 40 3.6 Thin Rods and Plates 41 3.7 Phonons 42 3.8 Tensors Lite 42 3.9 Exercises 48 References 48 4 Methods for Solving the Wave Equation 49 4.1 Introduction 49 4.2 Method of Characteristics 49 4.3 Separation of Variables 56 4.4 Homogeneous Solution in Separable Coordinates 57 4.4.1 Cartesian Coordinates 58 4.4.2 Cylindrical Coordinates 59 4.4.3 Spherical Coordinates 61 4.5 Boundary Conditions 63 4.6 Representing Functions with the Homogeneous Solutions 67 4.7 Green’s Function 70 4.7.1 Green’s Function in Free Space 70 4.7.2 Mode Expansion of Green’s Functions 72 4.8 Method of Images 76 4.9 Comparison of Modes to Images 81 4.10 Exercises 82 References 82 5 Wave Propagation 85 5.1 Introduction 85 5.2 Fourier Decomposition and Synthesis 85 5.3 Dispersion 88 5.4 Transmission and Reflection 90 5.5 Attenuation 96 5.6 Exercises 97 References 97 6 Normal Modes 99 6.1 Introduction 99 6.2 Mode Theory 100 6.3 Profile Models 101 6.4 Analytic Examples 105 6.4.1 Example 1: Harmonic Oscillator 105 6.4.2 Example 2: Linear 108 6.5 Perturbation Theory 110 6.6 Multidimensional Problems and Degeneracy 118 6.7 Numerical Approach to Modes 120 6.7.1 Derivation of the Relaxation Equation 120 6.7.2 Boundary Conditions in the Relaxation Method 125 6.7.3 Initializing the Relaxation 127 6.7.4 Stopping the Relaxation 128 6.8 Coupled Modes and the Pekeris Waveguide 129 6.8.1 Pekeris Waveguide 129 6.8.2 Coupled Modes 131 6.9 Exercises 135 References 135 7 Ray Theory 137 7.1 Introduction 137 7.2 High Frequency Expansion of the Wave Equation 138 7.2.1 Eikonal Equation and Ray Paths 139 7.2.2 Paraxial Rays 140 7.3 Amplitude 144 7.4 Ray Path Integrals 145 7.5 Building a Field from Rays 160 7.6 Numerical Approach to Ray Tracing 162 7.7 Complete Paraxial Ray Trace 168 7.8 Implementation Notes 170 7.9 Gaussian Beam Tracing 171 7.10 Exercises 173 References 174 8 Finite Difference and Finite Difference Time Domain 177 8.1 Introduction 177 8.2 Finite Difference 178 8.3 Time Domain 188 8.4 FDTD Representation of the Linear Wave Equation 193 8.5 Exercises 197 References 197 9 Parabolic Equation 199 9.1 Introduction 199 9.2 The Paraxial Approximation 199 9.3 Operator Factoring 201 9.4 Pauli Spin Matrices 204 9.5 Reduction of Order 205 9.5.1 The Padé Approximation 207 9.5.2 Phase Space Representation 208 9.5.3 Diagonalizing the Hamiltonian 209 9.6 Numerical Approach 210 9.7 Exercises 212 References 212 10 Finite Element Method 215 10.1 Introduction 215 10.2 The Finite Element Technique 216 10.3 Discretization of the Domain 218 10.3.1 One-Dimensional Domains 218 10.3.2 Two-Dimensional Domains 219 10.3.3 Three-Dimensional Domains 222 10.3.4 Using Gmsh 223 10.4 Defining Basis Elements 225 10.4.1 One-Dimensional Basis Elements 226 10.4.2 Two-Dimensional Basis Elements 227 10.4.3 Three-Dimensional Basis Elements 229 10.5 Expressing the Helmholtz Equation in the FEM Basis 232 10.6 Numerical Integration over Triangular and Tetrahedral Domains 234 10.6.1 Gaussian Quadrature 234 10.6.2 Integration over Triangular Domains 235 10.6.3 Integration over Tetrahedral Domains 239 10.7 Implementation Notes 240 10.8 Exercises 240 References 241 11 Boundary Element Method 243 11.1 Introduction 243 11.2 The Boundary Integral Equations 244 11.3 Discretization of the BIE 249 11.4 Basis Elements and Test Functions 253 11.5 Coupling Integrals 254 11.5.1 Derivation of Coupling Terms 254 11.5.2 Singularity Extraction 256 11.5.3 Evaluation of the Singular Part 260 11.5.3.1 Closed-Form Expression for the Singular Part of K 260 11.5.3.2 Method for Partial Analytic Evaluation 261 11.5.3.3 The Hypersingular Integral 266 11.6 Scattering from Closed Surfaces 267 11.7 Implementation Notes 269 11.8 Comments on Additional Techniques 271 11.8.1 Higher-Order Methods 271 11.8.2 Body of Revolution 272 11.9 Exercises 273 References 273 Index 275

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Book SynopsisIn A Resonant Ecology, Max Ritts traces how sound’s integration into the environmental politics of Canada’s North Coast has paved the way for massive industrial expansion. While conservationists hope that the dissemination of whale songs and other nature sounds will showcase the beauty of local wildlife for people around the world, Ritts reveals how colonial capitalism can co-opt sonic efforts to protect the coast. He demonstrates how digital technologies allow industry to sonically map new shipping lanes and facilitate new ways of experiencing sound—premised not on listening, but on sound’s exploitable status as a data resource. By outlining how sound can both perpetuate and refuse capitalist colonialism, Ritts challenges the idea that the sonic realm is inherently liberatory and reveals sound to be a powerfully uncertain object. Through a situated geographical approach, he makes the case that only a decolonial and multigenerational environmental politic

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Book SynopsisQuantum mechanics is the foundation of modern technology, due to its innumerable applications in physics, chemistry and even biology. This second volume studies Schrödinger�s equation and its applications in the study of wells, steps and potential barriers. It examines the properties of orthonormal bases in the space of square-summable wave functions and Dirac notations in the space of states. This book has a special focus on the notions of the linear operators, the Hermitian operators, observables, Hermitian conjugation, commutators and the representation of kets, bras and operators in the space of states. The eigenvalue equation, the characteristic equation and the evolution equation of the mean value of an observable are introduced. The book goes on to investigate the study of conservative systems through the time evolution operator and Ehrenfest�s theorem. Finally, this second volume is completed by the introduction of the notions of quantum wire, quantum wells of semiconductor materials and quantum dots in the appendices.Table of Contents1. Schrödinger�s Equation and its Applications. 2. Hermitian Operator, Dirac�s Notations. 3. Eigenvalues and Eigenvectors of an Observable.

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Book SynopsisSound is produced by vibrations and as such can be dampened or augmented based on materials selection. This title looks at the effects of sound and vibration on thin structures and details how damage may be avoided, acoustical effects created, and sound levels controlled.Table of ContentsPreface 11 1 Equations Governing the Vibrations of Thin Structures 15 1.1 Introduction 15 1.1.1 General Considerations on Thin Structures 15 1.1.2 Overview of the Energy Method 16 1.2 Thin Plates 17 1.2.1 Plate with Constant Thickness 18 1.2.2 Plate with Variable Thickness 25 1.2.3 Boundary with an Angular Point 27 1.3 Beams 29 1.4 Circular Cylindrical Shells 31 1.5 Spherical Shells 38 1.5.1 Approximation of the Strain and Stress Tensors and Application of the Virtual Works Theorem 39 1.5.2 Regularity Conditions at the Apexes 46 1.6 Variational Form of the Equations Governing Harmonic Vibrations of Plates and Shells 49 1.6.1 Variational Form of the Plate Equation 50 1.6.2 Variational Form of the Shells Equations 51 1.7 Exercises 52 2 Vibratory Response of Thin Structures in vacuo: Resonance Modes, Forced Harmonic Regime, Transient Regime 53 2.1 Introduction 53 2.2 Vibrations of Constant Cross-Section Beams 55 2.2.1 Independent Solutions for the Homogenous Beam Equation 55 2.2.2 Response of an Infinite Beam to a Point Harmonic Force 57 2.2.3 Resonance Modes of Finite Length Beams 59 2.2.4 Response of a Finite Length Beam to a Harmonic Force 66 2.3 Vibrations of Plates 68 2.3.1 Free Vibrations of an Infinite Plate 68 2.3.2 Green’s Kernel and Green’s function for the Time Harmonic Plate Equation and Response of an Infinite Plate to a Harmonic Excitation 71 2.3.3 Harmonic Vibrations of a Plate of Finite Dimensions: General Definition and Theorems 73 2.3.4 Resonance Modes and Resonance Frequencies of Circular Plates with Uniform Boundary Conditions 76 2.3.5 Resonance Modes and Resonance Frequencies of Rectangular Plates with Uniform Boundary Conditions 84 2.3.6 Response of a Plate to a Harmonic Excitation: Resonance Modes Series Representation 97 2.3.7 Boundary Integral Equations and the Boundary Element Method 99 2.3.8 Resonance Frequencies of Plates with Variable Thickness 117 2.3.9 Transient Response of an Infinite Plate with Constant Thickness 119 2.4 Vibrations of Cylindrical Shells 122 2.4.1 Free Oscillations of Cylindrical Shells of Infinite Length 122 2.4.2 Green’s Tensor for the Cylindrical Shell Equation 126 2.4.3 Harmonic Vibrations of a Cylindrical Shell of Finite Dimensions: General Definition and Theorems 129 2.4.4 Resonance Modes of a Cylindrical Shell Closed by Shear Diaphragms at Both Ends 130 2.4.5 Resonance Modes of a Cylindrical Shell Clamped at Both Ends 133 2.4.6 Response of a Cylindrical Shell to a Harmonic Excitation: Resonance Modes Representation 137 2.4.7 Boundary Integral Equations and Boundary Element Method 138 2.5 Vibrations of Spherical Shells 141 2.5.1 General Definition and Theorems 141 2.5.2 Solution of the Time Harmonic Spherical Shell Equation 143 2.6 Exercises 145 3 Acoustic Radiation and Transmission by Thin Structures 149 3.1 Introduction 149 3.2 Sound Transmission Across a Piston in a One-Dimensional Waveguide 151 3.2.1 Governing Equations 151 3.2.2 Time Fourier Transform of the Equations – Response of the System to a Harmonic Excitation 153 3.2.3 Response of the System to a Transient Excitation of the Piston 159 3.3 A One-dimensional Example of a Cavity Closed by a Vibrating Boundary 160 3.3.1 Equations Governing Free Harmonic Oscillations and their Reduced Form 161 3.3.2 Transmission of Sound Across the Vibrating Boundary 165 3.4 A Little Acoustics 168 3.4.1 Variational Form of the Wave Equation and of the Helmholtz Equation 168 3.4.2 Free-field Green’s Function of the Helmholtz Equation 170 3.4.3 Series Expansions of the Free Field Green’s Function of the Helmholtz Equation 170 3.4.4 Green’s Formula for the Helmholtz Operator and Green’s Representation of the Solution of the Helmholtz Equation 172 3.4.5 Numerical Difficulties 175 3.5 Infinite Structures 176 3.5.1 Infinite Plate in Contact with a Single Fluid or Two Different Fluids 176 3.5.2 Free Oscillations of an Infinite Circular Cylindrical Shell Filled with a vacuum and Immersed in a Fluid of Infinite Extent 196 3.5.3 A Few Remarks on the Free Oscillations of an Infinite Circular Cylindrical Shell containing a Fluid and Immersed in a Second Fluid of Infinite Extent 202 3.6 Baffled Rectangular Plate 203 3.6.1 General Theory: Eigenmodes, Resonance Modes, Series Expansion of the Response of the System 203 3.6.2 Rectangular Plate Clamped along its Boundary: Numerical Approximation of the Resonance Modes 209 3.6.3 Application: Transient Response of a Plate Struck by a Hammer 222 3.7 General Method for the Harmonic Regime: Classical Variational Formulation and Green’s Representation of the Plate Displacement 224 3.8 Baffled Plate Closing a Cavity 228 3.8.1 Equations Governing the Harmonic Motion of the Plate-Cavity-External Fluid System 229 3.8.2 Integro-differential Equation for the Plate Displacement and Matched Asymptotic Expansions 232 3.8.3 Boundary Integral Representation of the Interior Acoustic Pressure 237 3.8.4 Comparison between Numerical Predictions and Experiments 238 3.9 Cylindrical Finite Length Baffled Shell Excited by a Turbulent Internal Flow 243 3.9.1 Basic Equations and Green’s Representations of the Exterior and Interior Acoustic Pressures for a Normal Point Force 245 3.9.2 Numerical Methods for Solving Equations (3.111) 246 3.9.3 Comparison Between Numerical Results and Experimental Data 248 3.10 Radiation by a Finite Length Cylindrical Shell Excited by an Internal Acoustic Source 251 3.10.1 Statement of the Problem 251 3.10.2 Boundary Integral Representations of the Radiated Pressure and of the Shell Displacement 253 3.10.3 Green’s Representation of the Interior Acoustic Pressure and Matched Asymptotic Expansions 256 3.10.4 Directivity Pattern of the Radiated Acoustic Pressure 260 3.10.5 Numerical Method, Results and Concluding Remarks 262 3.11 Diffraction of a Transient Acoustic Wave by a Line 2’ Shell 264 3.11.1 Statement of the Problem 266 3.11.2 Resonance Modes and Response of the System to an Incident Transient Acoustic Wave 272 3.11.3 Numerical Method and Comparison between Numerical Prediction and Experimental Results 274 3.12 Exercises 278 Bibliography 279 Notations 285 Index 287

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Book SynopsisThis dictionary includes a wide range of terms that are in general use in relation to the multi-disciplinary subject of hearing. It covers the fields of acoustics, audiology, electronics, medicine, phonetics, rehabilitation and social administration. The dictionary has been compiled to meet the needs of the professional who is non-specialist in some of the fields, of students taking courses related to hearing, of the lay person and of those whose first language is not English. The needs of the specialist are supported by the availability of concise definitions of terms in common usage.

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Book SynopsisThis monographcovers dynamical inverse problems, that is problems whose data are the values of wave fields. It deals with the problem of determination of one or more coefficients of a hyperbolic equation or a system of hyperbolic equations. The desired coefficients are functions of point. Most attention is given to the case where the required functions depend only on one coordinate. The first chapter of the book deals mainly with methods of solution of one-dimensional inverse problems. The second chapter focuses on scalar inverse problems of wave propagation in a layered medium. In the final chapter inverse problems for elasticity equations in stratified media and acoustic equations for moving media are given.

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Book SynopsisIn this book the tools of spectral analysis are applied via graphics to musical sounds, especially those coming from a piano, with emphasis on the visualization of musical sounds rather than the mathematics behind it. The aim is to give a different and insightful view of musical instruments.Trade ReviewI recommend this remarkable book to everyone who wants to know how sounds are generated and how they can be analyzed. I am sure that this book will serve as a standard reference for the spectral analysis of musical sounds over many years * Haye Hinrichsen, Euro Piano *Table of ContentsPART 1: SOME BASIC SOUND WAVES AND SOME SIMPLE TOOLS; PART 2: A VISUAL ANALYSIS OF VIBRATING OBJECTS (STRINGS, MEMBRANES, BARS, PLATES); PART 3: THE PIANO

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