An old murder is solved by a retired policeman when he is given help from an unlikely source.

Almost a century ago, harmonic analysis entered a (still continuing) Golden Age, with the emergence of many great masters throughout Europe. They created a wealth of profound analytic methods, to be successfully exploited and further developed by succeeding generations. This flourishing of harmonic analysis is today as lively as ever, as the papers presented here demonstrate. In addition to its own ongoing internal development and its basic role in other areas of mathematics, physics and chemistry, financial analysis, medicine, and biological signal processing, harmonic analysis has made fundamental contributions to essentially all twentieth century technology-based human endeavours, including telephone, radio, television, radar, sonar, satellite communications, medical imaging, the Internet, and multimedia. This ubiquitous nature of the subject is amply illustrated.

The book not only promotes the infusion of new mathematical tools into applied harmonic analysis, but also to fuel the development of applied mathematics by providing opportunities for young engineers, mathematicians and other scientists to learn more about problem areas in today's technology that might benefit from new mathematical insights.

Wavelets and wavelet packets provide a theory analogous to Fourier analysis and tools analogous to coherent state methods. Among their numerous applications, wavelets have been used to data compression in both image and sound processing. They are intimately related to splines, and wavelet applications in spline theory are significant. Wavelets have become a tool in analyzing fractals and iterative schemes associated with dynamical systems. Signal processing methods such as quadrature mirror filters go hand in hand with wavelet techniques in studying a host of communcations problems. The profound issues of classical turbulence are being studied using wavelet packets. Both wavelet packet software and wavelet transform microchips are now available. There are also applications of wavelet theory in theoretical physics, oil exploration, irregular sampling, and singular integral operators. Many of the world's experts in the field of wavelets were principal speakers at the ASI, and their papers appear in this volume. Furthermore, these renowned scientists addressed their talks to an audience which consisted of a broad spectrum of pure and applied mathematicians, as well as a diverse group of engineers and scientists. Thus, the reader has the opportunity to both learn or reinforce the fundamental concepts from the individuals who have created and developed the blossoming field of wavelets, and to see them discuss in accessible terms their profound contributions and ideas for future research.

The Sixth Edition employs a "read-explore-do" concept, fully integrating the additional case studies posted on the companion website with the background information provided in the book, and the exercises listed at the end of the chapter. Each chapter contains a learning module aligned with its content, designed to help the reader better grasp the theories, principles, terms, and practices related to each topic area. Contains chapter summaries, key terms, key concepts, chapter learning maps, and For Further Study sections.

The Sixth Edition employs a "read-explore-do" concept, fully integrating the additional case studies posted on the companion website with the background information provided in the book, and the exercises listed at the end of the chapter. Each chapter contains a learning module aligned with its content, designed to help the reader better grasp the theories, principles, terms, and practices related to each topic area. Contains chapter summaries, key terms, key concepts, chapter learning maps, and For Further Study sections.

Probability has been an important part of mathematics for more than three centuries. Moreover, its importance has grown in recent decades, since the computing power now widely available has allowed probabilistic and stochastic techniques to attack problems such as speech and image processing, geophysical exploration, radar, sonar, etc. -- all of which are covered here. The book contains three exceptionally clear expositions on wavelets, frames and their applications. A further extremely active current research area, well covered here, is the relation between probability and partial differential equations, including probabilistic representations of solutions to elliptic and parabolic PDEs. New approaches, such as the PDE method for large deviation problems, and stochastic optimal control and filtering theory, are beginning to yield their secrets. Another topic dealt with is the application of probabilistic techniques to mathematical analysis. Finally, there are clear explanations of normal numbers and dynamic systems, and the influence of probability on our daily lives.

Historically, clinicians and researchers have focused on depression and dementia in older people, paying little attention to anxiety except as a complication of these disorders. However, increased research into late-life anxiety has seen a growth in scientific literature and clinical interest. This important book brings together international experts to provide a comprehensive overview of current knowledge in relation to anxiety in older people, highlighting gaps in both theory and practice, and pointing towards the future. Early chapters cover the broader aspects of anxiety disorders, including epidemiology, risk factors, diagnostic issues, association with insomnia, impaired daily functioning, suicidality, and increased use of healthcare services. The book then explores cross-cultural issues, clinical assessment, and pharmacological and psychological interventions across a variety of settings. An invaluable resource for mental health professionals caring for older people including researchers, psychiatrists, psychologists, specialist geriatric nurses and social workers.

Minimally invasive surgical techniques have the minimally invasive procedure allow far made a significant impact in lowering morbidity modifications in anesthetic technique. The and mortality and in changing the indications basics of this endeavor are weIl covered in this for operative surgery in the abdomen. Only section. recently have these minimally invasive tech- The basic techniques of thoracoscopic surgery niques been applied to the diseases of the tho- were developed in various diagnostic maneu- rax. The standard posterior lateral thoracotomy vers. It was this initial diagnostic application of infamous for its post-operative pain and atten- thoraeoseopy whieh aIlowed these teehniques to dant complications, is already being replaced in be developed and further therapeutie applica- a large number of situations by minimally inva- tions to be forwarded. This text nicely illustrates sive thoracoscopic techniques. eurrent diagnostie techniques and their applica- This text by Gossot, Kleinmann and Levi pro- tion. vides basic information required for surgeons In addition, the most commonly applied thera- interested in approaching the most common peutie proeedures in the pleura, lung and eso- diseases in the ehest utilizing thoracoscopic phagus are weIl eovered as are their indications techniques. The text is a well organized attempt and potential eomplications.

It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet. Hence, if they actually meet, that is, if they are at least so much related to each other that a real interaction can take place, then one may hope that new and interesting developments may follow. Werner Heisenberg This volume contains papers presented at the August 1992 NATO Advanced Study Institute on Wavelets and Their Applications. The conference was held at the beautiful Il Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy. Once again we gathered at this idyllic spot to explore and extend the reciprocity between mathematics and engineering. The dynamic interaction between world-renowned scientists from the usu ally disparate communities of pure mathematicians and applied scientists, which occurred at our 1989 and 1991 ASI's, continued at this meeting. Wavelet theory and technology is in an important growth stage at which theoretical and practical results are being compared with existing methods. There have been spectacular wavelet successes and sobering comparisons with traditional ideas-but still there is a wide expanse of scientific problems to explore. Since these problems lie at the forefront of both pure mathematics and applied science, our NATO ASI was especially pertinent at this time."

Probability has been an important part of mathematics for more than three centuries. Moreover, its importance has grown in recent decades, since the computing power now widely available has allowed probabilistic and stochastic techniques to attack problems such as speech and image processing, geophysical exploration, radar, sonar, etc. -- all of which are covered here. The book contains three exceptionally clear expositions on wavelets, frames and their applications. A further extremely active current research area, well covered here, is the relation between probability and partial differential equations, including probabilistic representations of solutions to elliptic and parabolic PDEs. New approaches, such as the PDE method for large deviation problems, and stochastic optimal control and filtering theory, are beginning to yield their secrets. Another topic dealt with is the application of probabilistic techniques to mathematical analysis. Finally, there are clear explanations of normal numbers and dynamic systems, and the influence of probability on our daily lives.

This volume contains papers presented at the July, 1989 NATO Advanced Study Institute on Fourier Analysis and its Applications. The conference, held at the beautiful II Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy, created a dynamic in teraction between world-renowned scientists working in the usually disparate communities of pure and applied Fourier analysts. The papers to be found herein include important new results in x-ray crystallography by Nobel Laureate Herbert Hauptman, the application of the new concept of bispectrum to system identification by renowned probabilist Athanasios Papoulis, fascinating appli cations of number theory in Fourier analysis by eminent electrical engineer Manfred R. Schroeder, and exciting concepts regarding polynomials with restricted coefficients by foremost mathematical problem solver Donald J. Newman. The remaining papers further illustrate the inherent power and beauty of classical Fourier analysis, whether the results presented were sought as an end in themselves, or whether these classical methods were employed as a tool in illustrating and solving a particular applied problem. From antenna design to concert hall acoustics to image and speech processing to unimodular polynomi als, each conference participant benefited significantly from his or her exposure, in many cases for the first time, to those scientists on the other end of the spectrum from them selves. The purpose of this volume is to pass those benefits on to the reader."

Almost a century ago, harmonic analysis entered a (still continuing) Golden Age, with the emergence of many great masters throughout Europe. They created a wealth of profound analytic methods, to be successfully exploited and further developed by succeeding generations. This flourishing of harmonic analysis is today as lively as ever, as the papers presented here demonstrate. In addition to its own ongoing internal development and its basic role in other areas of mathematics, physics and chemistry, financial analysis, medicine, and biological signal processing, harmonic analysis has made fundamental contributions to essentially all twentieth century technology-based human endeavours, including telephone, radio, television, radar, sonar, satellite communications, medical imaging, the Internet, and multimedia. This ubiquitous nature of the subject is amply illustrated.

The book not only promotes the infusion of new mathematical tools into applied harmonic analysis, but also to fuel the development of applied mathematics by providing opportunities for young engineers, mathematicians and other scientists to learn more about problem areas in today's technology that might benefit from new mathematical insights.

The Mars Curiosity Rover is the most sophisticated mobile laboratory ever deployed on a planet. For over seven years, scores of investigators have planned its daily route and activities, poring over the overwhelming images and data and revising our understanding of planetary surfaces, geology, and potential habitability. This book takes readers right down to the surface of Mars, chronicling Curiosity's physical and scientific journey across the planet's Earth-like, yet strikingly alien vistas. Through dozens of images and descriptive accounts of the surface, you will gain a deeper knowledge of the Martian landscape, from the floor of Gale Crater up to the cliffs of Mount Sharp. Presented at the end of each chapter are the results and revelations from the science team spearheading the mission. Like any cross-country road trip, the rover has hit some unexpected hitches along the way. The book describes the obstacles faced by the rover and its scientists over the years and the difficult decisions and careful experimentation it took to solve them.

Medicinal Plants of South Asia: Novel Sources for Drug Discovery provides a comprehensive review of medicinal plants of this region, highlighting chemical components of high potential and applying the latest technology to reveal the underlying chemistry and active components of traditionally used medicinal plants. Drawing on the vast experience of its expert editors and authors, the book provides a contemporary guide source on these novel chemical structures, thus making it a useful resource for medicinal chemists, phytochemists, pharmaceutical scientists and everyone involved in the use, sales, discovery and development of drugs from natural sources.

Topics include: Evaluation and initial management of the patient with facial skin cancer; Nonmelanomatous skin cancer; Mohs, Malignant melanoma; Local flaps - bilobed, rhombic, forehead, melolabial; Options for the management of scalp defects; Defects of the nose; Eyelid defects; Ear defects; Defects of the lips; Cheek defects; Secondary procedures to improve flap appearance.