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Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics)

Earthquakes - The Sound of Multi-modal Waves (Hardcover): W R Matson Earthquakes - The Sound of Multi-modal Waves (Hardcover)
W R Matson
R3,070 Discovery Miles 30 700 Ships in 10 - 15 working days

This book is an introduction to wave dynamics as they apply to earthquakes, among the scariest, most unpredictable, and deadliest natural phenomena on Earth. Since studying seismic activity is essentially a study of wave dynamics, this text starts with a discussion of types and representations, including wave-generation mechanics, superposition, and spectral analysis. Simple harmonic motion is used to analyze the mechanisms of wave propagation, and driven and damped systems are used to model the decay rates of various modal frequencies in different media.Direct correlation to earthquakes in California, Mexico, and Japan is used to illustrate key issues, and actual data from an event in California is presented and analyzed. Our Earth is a dynamic and changing planet, and seismic activity is the result. Hundreds of waves at different frequencies, modes, and amplitudes travel through a variety of different media, from solid rock to molten metals. Each media responds differently to each mode; consequently the result is an enormously complicated dynamic behavior. Earthquakes should serve well as a complimentary text for an upper-school course covering waves and wave mechanics, including sound and acoustics and basic geology. The mathematical requirement includes trigonometry and series summations, which should be accessible to most upper-school and college students. Animation, sound files, and videos help illustrate major topics.

Complex Wave Dynamics on Thin Films, Volume 14 (Hardcover): H. C Chang, E. a. Demekhin Complex Wave Dynamics on Thin Films, Volume 14 (Hardcover)
H. C Chang, E. a. Demekhin
R7,084 Discovery Miles 70 840 Ships in 10 - 15 working days

Wave evolution on a falling film is a classical hydrodynamic instability whose rich wave dynamics have been carefully recorded in the last fifty years. Such waves are known to profoundly affect the mass and heat transfer of multi-phase industrial units.


This book describes the collective effort of both authors and their students in constructing a comprehensive theory to describe the complex wave evolution from nearly harmonic waves at the inlet to complex spatio-temporal patterns involving solitary waves downstream. The mathematical theory represents a significant breakthrough from classical linear stability theories, which can only describe the inlet harmonic waves and also extends classical soliton theory for integrable systems to real solitrary wave dynamics with dissipation. One unique feature of falling-film solitary wave dynamics, which drives much of the spatio-temporal wave evolution, is the irreversible coalescence of such localized wave structures. It represents the first full description of a hydrodynamic instability from inception to developed chaos. This approach should prove useful for other complex hydrodynamic instabilities and would allow industrial engineers to better design their multi-phase apparati by exploiting the deciphered wave dynamics. This publication gives a comprehensive review of all experimental records and existing theories and significantly advances state of the art on the subject and are complimented by complex and attractive graphics from computational fluid mechanics.

Researcher's Guide to Interferometry (Hardcover): Zoe Gilbert Researcher's Guide to Interferometry (Hardcover)
Zoe Gilbert
R2,252 Discovery Miles 22 520 Ships in 12 - 19 working days
Theory and Application of Acoustic Sources Using Complex Analysis - Complex Acoustic Sources, Green's Functions and... Theory and Application of Acoustic Sources Using Complex Analysis - Complex Acoustic Sources, Green's Functions and Half-Space Problems, Acoustic Radiation and Scattering Using Equivalent Source and Boundary Element Methods (Hardcover, 1st ed. 2021)
Martin Ochmann, Rafael Piscoya
R4,369 Discovery Miles 43 690 Ships in 10 - 15 working days

This book highlights the mathematical and physical properties of acoustical sources with singularities located in the complex plane and presents the application of such special elements to solve acoustical radiation and scattering problems. Sources whose origin lies in the complex plane are also solutions of the wave equation but possess different radiating properties as their counterparts with real positions. Such mathematical constructions are known in the fields of optics and electrodynamics, but they are not common in acoustical research. The objective of the book is to introduce this concept to acousticians and motivate them to engage themselves in further research and application of complex sources. Such sources are particularly useful to formulate Green's functions and related equivalent source and boundary element methods in half-spaces.

Noise - A Human History of Sound and Listening (Paperback): David Hendy Noise - A Human History of Sound and Listening (Paperback)
David Hendy
R431 R405 Discovery Miles 4 050 Save R26 (6%) Ships in 10 - 15 working days

What if history had a sound track? What would it tell us about ourselves? Based on a thirty-part BBC Radio series and podcast, Noise explores the human dramas that have revolved around sound at various points in the last 100,000 years, allowing us to think in fresh ways about the meaning of our collective past.

Though we might see ourselves inhabiting a visual world, our lives have always been hugely influenced by our need to hear and be heard. To tell the story of sound--music and speech, but also echoes, chanting, drumbeats, bells, thunder, gunfire, the noise of crowds, the rumbles of the human body, laughter, silence, conversations, mechanical sounds, noisy neighbors, musical recordings, and radio--is to explain how we learned to overcome our fears about the natural world, perhaps even to control it; how we learned to communicate with, understand, and live alongside our fellow beings; how we've fought with one another for dominance; how we've sought to find privacy in an increasingly noisy world; and how we've struggled with our emotions and our sanity.

Oratory in ancient Rome was important not just for the words spoken but for the sounds made--the tone, the cadence, the pitch of the voice--how that voice might have been transformed by the environment in which it was heard and how the audience might have responded to it. For the Native American tribes first encountering the European colonists, to lose one's voice was to lose oneself. In order to dominate the Native Americans, European colonists went to great effort to silence them, to replace their "demonic" "roars" with the more familiar "bugles, speaking trumpets, and gongs."

Breaking up the history of sound into prehistoric noise, the age of oratory, the sounds of religion, the sounds of power and revolt, the rise of machines, and what he calls our "amplified age," Hendy teases out continuities and breaches in our long relationship with sound in order to bring new meaning to the human story.

Software-Based Acoustical Measurements (Hardcover, 1st ed. 2017): Federico Miyara Software-Based Acoustical Measurements (Hardcover, 1st ed. 2017)
Federico Miyara
R3,273 Discovery Miles 32 730 Ships in 12 - 19 working days

This textbook provides a detailed introduction to the use of software in combination with simple and economical hardware (a sound level meter with calibrated AC output and a digital recording system) to obtain sophisticated measurements usually requiring expensive equipment. It emphasizes the use of free, open source, and multiplatform software. Many commercial acoustical measurement systems use software algorithms as an integral component; however the methods are not disclosed. This book enables the reader to develop useful algorithms and provides insight into the use of digital audio editing tools to document features in the signal. Topics covered include acoustical measurement principles, in-depth critical study of uncertainty applied to acoustical measurements, digital signal processing from the basics, and metrologically-oriented spectral and statistical analysis of signals. The student will gain a deep understanding of the use of software for measurement purposes; the ability to implement software-based measurement systems; familiarity with the hardware necessary to acquire and store signals; an appreciation for the key issue of long-term preservation of signals; and a full grasp of the often neglected issue of uncertainty in acoustical measurements. Pedagogical features include in-text worked-out examples, end-of-chapter problems, a glossary of metrology terms, and extensive appendices covering statistics, proofs, additional examples, file formats, and underlying theory.

Low-angle Microwave Propagation - Physics and Modelling (Hardcover): Adolf Giger Low-angle Microwave Propagation - Physics and Modelling (Hardcover)
Adolf Giger
R3,240 Discovery Miles 32 400 Ships in 10 - 15 working days

This book gives you the tools you need to understand and determine changing propagation characteristics found in different physical situations and locations. The book presents a practical digital propagation model based entirely on the physical principles of wave propagation.

Inverse Problems in Wave Propagation (Hardcover, New): Guy Chavent, George Papanicolaou, William Symes, P. Sacks Inverse Problems in Wave Propagation (Hardcover, New)
Guy Chavent, George Papanicolaou, William Symes, P. Sacks
R2,623 Discovery Miles 26 230 Ships in 12 - 19 working days

Inverse problems in wave propagation occur in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic non-destructive testing, biomedical ultrasonics, radar, astrophysics, as well as other areas of science and technology. The papers in this volume cover these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.

Quantum Enhancement of a 4 km Laser Interferometer Gravitational-Wave Detector (Hardcover, 2015 ed.): Sheon S. Y. Chua Quantum Enhancement of a 4 km Laser Interferometer Gravitational-Wave Detector (Hardcover, 2015 ed.)
Sheon S. Y. Chua
R3,545 Discovery Miles 35 450 Ships in 12 - 19 working days

The work in this thesis was a part of the experiment of squeezed light injection into the LIGO interferometer. The work first discusses the detailed design of the squeezed light source which would be used for the experiment. The specific design is the doubly-resonant, traveling-wave bow-tie cavity squeezed light source with a new modified coherent sideband locking technique. The thesis describes the properties affecting the squeezing magnitudes and offers solutions which improve the gain. The first part also includes the detailed modeling of the back-scattering noise of a traveling Optical Parametric Oscillator (OPO). In the second part, the thesis discusses the LIGO Squeezed Light Injection Experiment, undertaken to test squeezed light injection into a 4km interferometric gravitational wave detector. The results show the first ever measurement of squeezing enhancement in a full-scale suspended gravitational wave interferometer with Fabry-Perot arms. Further, it showed that the presence of a squeezed-light source added no additional noise in the low frequency band. The result was the best sensitivity achieved by any gravitational wave detector. The thesis is very well organized with the adequate theoretical background including basics of Quantum Optics, Quantum noise pertaining to gravitational wave detectors in various configurations, along with extensive referencing necessary for the experimental set-up. For any non-experimental scientist, this introduction is a very useful and enjoyable reading. The author is the winner of the 2013 GWIC Theses Prize.

Time Reversal Acoustics (Hardcover, 1st ed. 2021): Woon Siong Gan Time Reversal Acoustics (Hardcover, 1st ed. 2021)
Woon Siong Gan
R4,912 Discovery Miles 49 120 Ships in 12 - 19 working days

This book highlights time reversal acoustics, techniques based on the symmetry properties of acoustic fields. It has the unique feature that the first eleven chapters of the book are on the indepth studies of the theories of time reversal acoustics. The remaining chapters are on the four major applications of time reversal acoustics, together with their experimental setups and case studies: underwater communication, seismic exploration,nondestructive evaluation, and medical ultrasound imaging.. The gauge invariance approach to acoustic fields, proposed by the author in 2007, is confirmed by the successful fabrication of acoustical metamaterials and the applications of time reversal acoustics to superresolution. The book also presents groundbreaking applications of time reversal acoustics to underwater communication technology and the application of metamaterials to time reversal acoustics.

Sound Scattering on Spherical Objects (Hardcover, 1st ed. 2020): Tom Rother Sound Scattering on Spherical Objects (Hardcover, 1st ed. 2020)
Tom Rother
R2,897 Discovery Miles 28 970 Ships in 10 - 15 working days

This book introduces readers to scattering from a practical/numerical point of view. The focus is on basic aspects like single scattering, multiple scattering, and whether inhomogeneous boundary conditions or inhomogeneous scatterers have to be taken into account. The powerful T-matrix approach is explained in detail and used throughout the book, and iterative solution methods are discussed. In addition, the book addresses appropriate criteria for estimating the accuracy of numerical results, as well as their importance for practical applications. Python code is provided with each chapter, and can be freely used and modified by readers. Moreover, numerous scattering results for different configurations are provided for benchmarking purposes. The book will be particularly valuable for those readers who plan to develop their own scattering code, and wish to test the correct numerical implementation of the underlying mathematics.

Gauge Invariance Approach to Acoustic Fields (Hardcover, 1st ed. 2019): Woon Siong Gan Gauge Invariance Approach to Acoustic Fields (Hardcover, 1st ed. 2019)
Woon Siong Gan
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successful fabrication of acoustical metamaterials. The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy). Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage.

Elliptical Fiber Waveguides (Hardcover): R.B. Dyott Elliptical Fiber Waveguides (Hardcover)
R.B. Dyott
R2,688 Discovery Miles 26 880 Ships in 10 - 15 working days

This is a guide to the design and application of elliptical dielectric waveguides and fibers. Written by one of the pioneers of optical fiber technology, it shows the theoretical basis of the technology, demonstrates the practical uses for elliptical fibers, guides the reader through design criteria and trade-offs, and gives immediate access to collected data and references on the topic. "Elliptical Fiber Waveguides" begins with an historical overview, and then provides detailed coverage of specific waveguide and fiber modes, including all relevant specifications and data currently available. The book examines the use of elliptical fibers for a wide variety of recent applications, including sensors, rare-earth-doped fiber sources, and amplifiers. With its 278 equations, 161 figures, and nearly 200 references to the literature, "Elliptical Fiber Waveguides" brings together in one source the complete body of information currently available on this promising technology.

Waveguide Propagation of Nonlinear Waves - Impact of Inhomogeneity and Accompanying Effects (Hardcover, 1st ed. 2019): Sergey... Waveguide Propagation of Nonlinear Waves - Impact of Inhomogeneity and Accompanying Effects (Hardcover, 1st ed. 2019)
Sergey Leble
R3,645 Discovery Miles 36 450 Ships in 10 - 15 working days

This book addresses the peculiarities of nonlinear wave propagation in waveguides and explains how the stratification depends on the waveguide and confinement. An example of this is an optical fibre that does not allow light to pass through a density jump. The book also discusses propagation in the nonlinear regime, which is characterized by a specific waveform and amplitude, to demonstrate so-called solitonic behaviour. In this case, a wave may be strongly localized, and propagates with a weak change in shape. In the waveguide case there are additional contributions of dispersion originating from boundary or asymptotic conditions. Offering concrete guidance on solving application problems, this essentially (more than twice) expanded second edition includes various aspects of guided propagation of nonlinear waves as well as new topics like solitonic behaviour of one-mode and multi-mode excitation and propagation and plasma waveguides, propagation peculiarities of electromagnetic waves in metamaterials, new types of dispersion, dissipation, electromagnetic waveguides, planetary waves and plasma waves interaction.The key feature of the solitonic behaviour is based on Coupled KdV and Coupled NS systems. The systems are derived in this book and solved numerically with the proof of stability and convergence. The domain wall dynamics of ferromagnetic microwaveguides and Bloch waves in nano-waveguides are also included with some problems of magnetic momentum and charge transport.

Nonlinearities and Synchronization in Musical Acoustics and Music Psychology (Hardcover, 2013 ed.): Rolf Bader Nonlinearities and Synchronization in Musical Acoustics and Music Psychology (Hardcover, 2013 ed.)
Rolf Bader
R5,206 Discovery Miles 52 060 Ships in 12 - 19 working days

This book offers an overview of models, measurements, calculations and examples connecting musical acoustics and music psychology. Indeed, many mathematical formulations that explain musical acoustics can also be used to help predict human auditory perception.

Advances in Acoustic Emission Technology - Proceedings of the World Conference on Acoustic Emission-2019 (Hardcover, 1st ed.... Advances in Acoustic Emission Technology - Proceedings of the World Conference on Acoustic Emission-2019 (Hardcover, 1st ed. 2021)
Gongtian Shen, Junjiao Zhang, Zhanwen Wu
R6,339 Discovery Miles 63 390 Ships in 12 - 19 working days

This book presents articles from the World Conference on Acoustic Emission 2019 (WCAE-2019) held at Guangdong, China. The latest research and applications of acoustic emission (AE) are explored, with a particular emphasis on detecting and processing AE signals, the development of AE instrument and testing standards, AE of materials, engineering structures and systems, including the processing of collected data and analytical techniques. Numerous case studies are also included. It brings together leading academicians and professionals in the field to foster collaboration and to enhance research in this important area, with wide ranging applications.

Medical and Biomedical Applications of Shock Waves (Hardcover, 1st ed. 2017): Achim M. Loske Medical and Biomedical Applications of Shock Waves (Hardcover, 1st ed. 2017)
Achim M. Loske
R7,507 Discovery Miles 75 070 Ships in 12 - 19 working days

This book provides current, comprehensive, and clear explanations of the physics behind medical and biomedical applications of shock waves. Extracorporeal shock wave lithotripsy is one of the greatest medical advances of our time, and its techniques and clinical devices are continuously evolving. Further research continues to improve the understanding of calculi fragmentation and tissue-damaging mechanisms. Shock waves are also used in orthopedics and traumatology. Possible applications in oncology, cardiology, dentistry, gene therapy, cell transfection, transformation of fungi and bacteria, as well as the inactivation of microorganisms are promising approaches for clinical treatment, industrial applications and research. Medical and Biomedical Applications of Shock Waves is useful as a guide for students, technicians and researchers working in universities and laboratories. Chemists, biologists, physicians and veterinarians, involved in research or clinical practice will find useful advice, but also engineers and physicists may benefit from the overview of current research endeavors and future directions. Furthermore, it may also serve to direct manufacturers towards the design of more efficient and safer clinical, industrial and laboratory equipment.

The Internet and Beyond (Hardcover): S.P. Sim, J. Davies The Internet and Beyond (Hardcover)
S.P. Sim, J. Davies
R3,171 Discovery Miles 31 710 Ships in 10 - 15 working days

This volume gives a comprehensive coverage of Internet technologies. It provides both a contemporary and extensive review of developments in the field and also gives details of research. Areas covered include: developments in the network protocols on which the Internet is based; the evolving capability of the Internet to carry audio and video traffic; and the development in security and payment technologies which are opening up a wide range of commercial electronic applications. As the importance of the Internet continues to increase, this book should be of interest to businesses. Several case studies of on-line services are included. The text should prove useful not only to researchers in the communications and computing sectors working directly in the development of the technology, but also to people working in banking and finance. Business users of the Internet should also find the book to be useful in the development of such applications as Internet trading and corporate intranets.

Phonon Focusing and Phonon Transport - In Single-Crystal Nanostructures (Hardcover): Igor Gaynitdinovich Kuleyev, Ivan... Phonon Focusing and Phonon Transport - In Single-Crystal Nanostructures (Hardcover)
Igor Gaynitdinovich Kuleyev, Ivan Igorevich Kuleyev, Sergey Mikhailovich Bakharev, Vladimir Vasilyevich Ustinov
R5,541 Discovery Miles 55 410 Ships in 12 - 19 working days

The monograph is devoted to the investigation of physical processes that govern the phonon transport in bulk and nanoscale single-crystal samples of cubic symmetry. Special emphasis is given to the study of phonon focusing in cubic crystals and its influence on the boundary scattering and lattice thermal conductivity of bulk materials and nanostructures.

Quantum Physics for Beginners - The Quantum Theory Bible: Discover the Deepest Secrets of the Law of Attraction and Q Mechanics... Quantum Physics for Beginners - The Quantum Theory Bible: Discover the Deepest Secrets of the Law of Attraction and Q Mechanics related to the Birth of the Universe (Hardcover)
Loew T. Kaufmann
R774 Discovery Miles 7 740 Ships in 12 - 19 working days
Wave Propagation Approach for Structural Vibration (Hardcover, 1st ed. 2021): Chongjian Wu Wave Propagation Approach for Structural Vibration (Hardcover, 1st ed. 2021)
Chongjian Wu
R2,904 Discovery Miles 29 040 Ships in 10 - 15 working days

This book is intended for researchers, graduate students and engineers in the fields of structure-borne sound, structural dynamics, and noise and vibration control. Based on vibration differential equations, it presents equations derived from the exponential function in the time domain, providing a unified framework for structural vibration analysis, which makes it more regular and normalized. This wave propagation approach (WPA) divides structures at "discontinuity points," and the waves show characteristics of propagation, reflection, attenuation, and waveform conversion. In each segment of the system between two "discontinuity points," the governing equation and constraint are expressed accurately, allowing the dynamic properties of complex systems to be precisely obtained. Starting with basic structures such as beams and plates, the book then discusses theoretical research on complicated and hybrid dynamical systems, and demonstrates that structural vibration can be analyzed from the perspective of elastic waves by applying WPA.

Acoustics and Vibration of Mechanical Structures-AVMS 2019 - Proceedings of the 15th AVMS, Timisoara, Romania, May 30-31, 2019... Acoustics and Vibration of Mechanical Structures-AVMS 2019 - Proceedings of the 15th AVMS, Timisoara, Romania, May 30-31, 2019 (Hardcover, 1st ed. 2021)
Nicolae Herisanu, Vasile Marinca
R4,454 Discovery Miles 44 540 Ships in 10 - 15 working days

This book contains selected and expanded contributions presented at the 15th Conference on Acoustics and Vibration of Mechanical Structures held in Timisoara, Romania, May 30-31, 2019. The conference focused on a broad range of topics related to acoustics and vibration, such as analytical approaches to nonlinear noise and vibration problems, environmental and occupational noise, structural vibration, biomechanics and bioacoustics, as well as experimental approaches to vibration problems in industrial processes. The different contributions also address the analytical, numerical and experimental techniques applicable to analyze linear and non-linear noise and vibration problems (including strong nonlinearity) and they are primarily intended to emphasize the actual trends and state-of-the-art developments in the above mentioned topics. The book is meant for academics, researchers and professionals, as well as PhD students concerned with various fields of acoustics and vibration of mechanical structures.

Piezoelectric Electromechanical Transducers for Underwater Sound, Part III & IV (Hardcover): Boris S. Aronov Piezoelectric Electromechanical Transducers for Underwater Sound, Part III & IV (Hardcover)
Boris S. Aronov
R3,796 R3,107 Discovery Miles 31 070 Save R689 (18%) Ships in 12 - 19 working days

The 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.

The Vortex State - Proceedings of the NATO Advanced Study Institute on Vortices in Superfluids, Cargese, Corsica, France, July... The Vortex State - Proceedings of the NATO Advanced Study Institute on Vortices in Superfluids, Cargese, Corsica, France, July 19-31, 1993 (Hardcover, illustrated edition)
Nicole Bontemps, Etc, Yvan Bruynseraede, Guy Deutscher, Aharon Kapitulnik
R2,682 Discovery Miles 26 820 Ships in 10 - 15 working days

A consequence of the description of the superfluid condensate in superfluid He or in superconductors as a single macroscopic quantum state is the quantization of circulation, resulting in quantized vortex lines. This book draws no distinction between superfluid He3 and He4 and superconductors. It examines theoretical and experimental progress in understanding of the vortex state in both superconductors and superfluids, from lectures given by both experimentalists and theoreticians, who gathered in Cargese for a NATO ASI. The peculiar features related to short coherence lengths, 2D geometry, high temperatures, disorder and pinning are discussed.

Handbook of Mathematical Fluid Dynamics, Volume 3 (Hardcover): S Friedlander, D. Serre Handbook of Mathematical Fluid Dynamics, Volume 3 (Hardcover)
S Friedlander, D. Serre
R7,320 Discovery Miles 73 200 Ships in 10 - 15 working days

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

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