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Single Channel Phase-Aware Signal Processing in Speech Communication: Theory and Practice
by Mowlaee Florian Mayer Josef Kulmer Johannes StahlAn overview on the challenging new topic of phase-aware signal processing Speech communication technology is a key factor in human-machine interaction, digital hearing aids, mobile telephony, and automatic speech/speaker recognition. With the proliferation of these applications, there is a growing requirement for advanced methodologies that can push the limits of the conventional solutions relying on processing the signal magnitude spectrum. Single-Channel Phase-Aware Signal Processing in Speech Communication provides a comprehensive guide to phase signal processing and reviews the history of phase importance in the literature, basic problems in phase processing, fundamentals of phase estimation together with several applications to demonstrate the usefulness of phase processing. Key features: Analysis of recent advances demonstrating the positive impact of phase-based processing in pushing the limits of conventional methods. Offers unique coverage of the historical context, fundamentals of phase processing and provides several examples in speech communication. Provides a detailed review of many references and discusses the existing signal processing techniques required to deal with phase information in different applications involved with speech. The book supplies various examples and MATLAB® implementations delivered within the PhaseLab toolbox. Single-Channel Phase-Aware Signal Processing in Speech Communication is a valuable single-source for students, non-expert DSP engineers, academics and graduate students.
Single-DC-Source Multilevel Inverters (SpringerBriefs in Electrical and Computer Engineering)
by Hani Vahedi Mohamed TrabelsiThe purpose of the book is to distinguish the single-de-source multilevel inverter topologies and to teach their control, switching and voltage balancing. It will include new information on voltage balancing and control of multilevel inverters. The book will answer some important questions about the revolution of power electronics converters: 1- Why multilevel inverter are better than 2-level ones? 2- Why single-de-source multilevel inverters are a matter of interest? 3- What are the redundant switching states and what do they do? 4- How to use redundant switching states in control and voltage balancing? 5- What are the applications of single-de-source multilevel inverters?
Single Event Effects in Aerospace
by Edward PetersenThis book introduces the basic concepts necessary to understand Single Event phenomena which could cause random performance errors and catastrophic failures to electronics devices. As miniaturization of electronics components advances, electronics components are more susceptible in the radiation environment. The book includes a discussion of the radiation environments in space and in the atmosphere, radiation rate prediction depending on the orbit to allow electronics engineers to design and select radiation tolerant components and systems, and single event prediction.
Single Flux Quantum Integrated Circuit Design
by Gleb Krylov Eby G. FriedmanHigh efficiency, large scale, stationary computing systems – supercomputers and data centers – are becoming increasingly important due to the movement of data storage and processing onto remote cloud servers. This book is dedicated to a technology particularly appropriate for this application – superconductive electronics, in particular, rapid single flux quantum circuits. The primary purpose of this book is to introduce and systematize recent developments in superconductive electronics into a cohesive whole to support the further development of large scale computing systems. A brief background into the physics of superconductivity and the operation of common superconductive devices is provided, followed by an introduction into different superconductive logic families, including the logic gates, interconnect, and bias current distribution. Synchronization, fabrication, and electronic design automation methodologies are presented, reviewing both widely established concepts and techniques as well as recent approaches. Issues related to memory, synchronization, bias networks, and testability are described, and models, circuits, algorithms, and design methodologies are discussed and placed in context. The aim of this book is to provide insight and engineering intuition into the design of large scale digital superconductive circuits and systems.
Single Flux Quantum Integrated Circuit Design
by Gleb Krylov Tahereh Jabbari Eby G. FriedmanHigh efficiency, large scale, stationary computing systems – supercomputers and data centers – are becoming increasingly important due to the movement of data storage and processing onto remote cloud servers. This book is dedicated to a technology particularly appropriate for this application – superconductive electronics, in particular, rapid single flux quantum circuits. The primary purpose of this book is to introduce and systematize recent developments in superconductive electronics into a cohesive whole to support the further development of large scale computing systems. A brief background into the physics of superconductivity and the operation of common superconductive devices is provided, followed by an introduction into different superconductive logic families, including the logic gates, interconnect, and bias current distribution. Synchronization, fabrication, and electronic design automation methodologies are presented, reviewing both widely established concepts and techniques as well as recent approaches. Issues related to memory, synchronization, interconnects, coupling noise, bias networks, signal interfaces, and deep scaling of superconductive structures and design for testability are described, and models, expressions, circuits, algorithms, and design methodologies are discussed and placed in context. The aim of this book is to provide insight and engineering intuition into the design of large scale digital superconductive circuits and systems.
Single-Inductor Multiple-Output Converters: Topologies, Implementation, and Applications
by Albert Ting Lee Weijian Jin Siew-Chong Tan Ron Shu HuiThe book provides a comprehensive overview of Single-Inductor Multiple-Output Converters from both theoretical and practical perspectives. Based on the authors’ in-depth research, the volume covers not only conventional SIMO DC-DC converters but also the new generations of SIMO such as SIMO AC-DC converters, SIMO DC-AC converters (or SIMO inverters), and the latest SIMO hybrid converters. This book offers a holistic and systematic presentation of all types of SIMO converters, encompassing the derivation of the circuit topologies, the definition of key concepts, detailed discussion of theoretical underpinnings, design methodology and control schemes, as well as design considerations and techniques that enable practical implementation. Specific examples of real-world applications of SIMO converters are also provided. The volume offers a comprehensive overview and systematic classification of the traditional and modern topologies of SIMO converters in terms of system architecture, circuit analysis, operating principles, control methods, design considerations and practical implementation. Specifically, the book presents the mathematical models and design principles necessary for analyzing the behavior of each kind of SIMO converter, and building upon that, introduces and imparts new approaches and techniques when designing such converters, guiding engineering students and power engineers towards achieving low-cost, compact and energy efficient SIMO converters. offers the design considerations and optimization as well as describing the key applications of SIMO converters. The book fills a significant niche in the power electronics literature and provides a complete perspective on SIMO converters that hopefully can inspire appreciation and better understanding of the subject matter. It can be directly adopted in undergraduate or graduate coursework as well as postgraduate research programs.
Single-Layer Brazed Cubic Boron Nitride Abrasive Tools
by Wenfeng Ding Biao Zhao Ning Qian Haonan Li Jiuhua XuThis book systematically summarises the state-of-the-art research in the field of single-layer brazed cubic boron nitride (CBN) abrasive tools in terms of manufacturing technology, wear mechanisms and machining performance. The authors present manufacturing methods and related principles, and explore the wear behaviour and mechanisms of single-layer brazed CBN abrasive tools, providing insights into tool manufacturing and tool life. They also clarify the scientific issues in the grinding performance of single-layer brazed CBN abrasive tools to improve machining efficiency and quality. The book will contribute to the development of aerospace engineering and inspire academic researchers and industrial engineers in the field of ultra-high precision machining, especially grinding.
Single-Mode Fiber Optics: Prinicples and Applications, Second Edition,
by Luc B. JeunhommeA basic, unified reference, rather than a description of the current experimental activity, presenting the scientific and engineering principles of single-mode optical fibers. It does, however, update discussions to reflect developments since the 1983 first edition, particularly those on international standards for fibres and measurement procedures, improvements in fibre attenuation control, fibre gyrometry, high-birefringence fibres, dispersion shifted and dispersion flattened fibres, connectors and splicing equipment, long distance terrestrial and undersea communication systems, and long distance transmissions systems.
Single Molecular Machines and Motors
by Christian Joachim Gwénaël RapenneSingle Molecular Machines and Motors brings together different approaches and strategies to design, synthesize and study single molecular machines and motors in a multidisciplinary way. Written by leading international experts, this book summarizes the advances in the field through a number of disciplines. Some contributions describe molecular chemistry such as organic, aromatics, and coordination chemistry while others address theoretical chemistry in a predictive way or through post-experimental modelling. Experimental physics with extensive use of scanning probe microscopy (STM and AFM) is discussed for examining one single molecule. This book is aimed at those who are interested in the rapidly growing field of molecular machines and motors acting and studied at the single-molecule scale. The goal of the authors and editors is to provide the reader with an up-to-date summary while also offering future perspectives on the field.
Single-Molecule Electronics
by Manabu KiguchiThis book presents a multidisciplinary approach to single-molecule electronics. It includes a complete overview of the field, from the synthesis and design of molecular candidates to the prevalent experimental techniques, complemented by a detailed theoretical description. This all-inclusive strategy provides the reader with the much-needed perspective to fully understand the far-reaching ramifications of single-molecule electronics. In addition, a number of state-of-the-art topics are discussed, including single-molecule spectro-electrical methods, electrochemical DNA sequencing technology, and single-molecule chemical reactions. As a result of this integrative effort, this publication may be used as an introductory textbook to both graduate and advanced undergraduate students, as well as researchers with interests in single-molecule electronics, organic electronics, surface science, and nanoscience.
Single Molecule Mechanics on a Surface: Gears, Motors and Nanocars (Advances in Atom and Single Molecule Machines)
by Francesca Moresco Christian JoachimWritten by the leading experts of this field, this book results from the International Symposium on “Single Molecule Machines on a Surface: Gears, Train of Gears, Motors, and Cars” which took place in Toulouse, France on November 24th - 25th, 2021. The different chapters focus on describing the use of single molecule mechanics on a surface and analyze the different steps leading to the design of a single molecule nanocar. The authors present how a single molecule is rotating, how a single molecule gear can participate to a train of molecule gears to propagate motion and how this knowledge is used for the design of nanocars. The way energy is provided to a single molecule and how this energy drives it onto the surface is also analyzed. A large portion of this volume is written by the eight teams selected to participate in the Nanocar Race II event. This book is of great use to graduate students, post-doctoral fellows and researchers who are interested in single molecule mechanics and who want to know more about the fundamentals and applications of this new research field.
Single Molecule Sensing Beyond Fluorescence (Nanostructure Science and Technology)
by Frank Vollmer Warwick Bowen Reuven GordonThis book provides an interesting snapshot of recent advances in the field of single molecule nanosensing. The ability to sense single molecules, and to precisely monitor and control their motion is crucial to build a microscopic understanding of key processes in nature, from protein folding to chemical reactions. Recently a range of new techniques have been developed that allow single molecule sensing and control without the use of fluorescent labels. This volume provides an overview of recent advances that take advantage of micro- and nanoscale sensing technologies and provide the prospect for rapid future progress. The book endeavors to provide basic introductions to key techniques, recent research highlights, and an outlook on big challenges in the field and where it will go in future. It is a valuable contribution to the field of single molecule nanosensing and it will be of great interest to graduates and researchers working in this topic.
Single Particle Detection And Measurement
by R S GilmoreThis book provides a summary of the state of science in teh field of single particle detection and measurement. The text delineates between those low performance detectors, capable of registering only a large number of particles and those complex, highly designed systems capable of detecting and measuring single interactions or events. The author describes the problems associated with detection, measurement and subsequent interpretation of such quantum processes. He also evolves the subject from its roots in nuclear and particle physics into latter day applications such as probes for investigation of materials and objects. The different nature and use of high-energy particles compared with photons is highlighted.
Single Particle Nanocatalysis: Fundamentals and Applications
by Weilin Xu Yuwei Zhang Tao ChenIntroduces the detailed basis and recent development of single molecule/particle nanocatalysis based on single molecule techniques This unique book introduces and summarizes the recent development of single molecule/particle nanocatalysis to provide both comprehensive coverage of fundamentals for different methods now in widespread use and the extensive applications in different catalytic systems. Chapters are mainly based on different detection methods, including single molecule fluorescence microscopy, surface plasmon resonance spectroscopy, X-ray microscopy, and surface enhanced Raman spectroscopy. The book also includes numerous basic principles of different methods and application examples and features illustrations that help clarify presentations. Single Particle Nanocatalysis: Fundamentals and Applications starts with the history and development of single molecule techniques for nanocatalysis. It then shows readers how single molecule fluorescence microscopy (SMFM) reveals catalytic kinetics and dynamics of individual nanocatalysts. Next, it examines traditional SMFM-based single molecule nanocatalysis without super-resolution (SR) imaging, before moving on to the topic of SMFM-based SR imaging in single molecule nanocatalysis. Following chapters cover scanning electrochemical microscopy for single particle nanocatalysis; surface plasmon resonance spectroscopy for single particle nanocatalysis/reactions; X-ray-based microscopy of single-particle nanocatalysis; and surface-enhanced Raman spectroscopy for single particle nanocatalysis. The book finishes by introducing some less-practiced techniques for single particle nanocatalysis/electrochemistry. -Presents a systematical and complete introduction to the subject of single particle nanocatalysis?covering all of its fundamentals and applications -Helps readers fully understand the basis, role, and recent development of single molecule nanocatalysis -Teaches researchers how to gain new knowledge to successfully conduct their own studies within this rapidly increasing new area of research Single Particle Nanocatalysis: Fundamentals and Applications is an excellent reference book for experts in this area as well as for general researchers who want to learn how to study nanocatalysis at single molecule/particle level.
Single-Particle Structure of 29Mg on the Approach to the N = 20 Island of Inversion (Springer Theses)
by Patrick T. MacGregorThe nuclear shell model has had much success when describing nuclear structure. It is able to describe the single-particle states of nuclei, and gives understanding as to how nuclear structure evolves as the number of nucleons changes in a nucleus. This led to the discovery of the so-called magic numbers, which designate particularly stable configurations of protons and neutrons in nuclei.With the advent of radioactive ion beams, it has become possible to probe exotic nuclei to test current theories of nuclear structure. These investigations have led to the discovery of exotic nuclear phenomena, with structures different to those found in stable nuclei. One of these is the N=20 island of inversion, where configurations that appear in stable nuclei become less bound than more exotic particle-hole configurations across a shell gap. Another is the weakening of the magic N=20 shell gap to N=16 as the number of protons is reduced in this isotonic chain.Of particular interest are the magnesium isotopes, which exhibit a swift transition into the island of inversion with 29Mg lying outside and 31Mg lying inside. In addition, 29Mg lies one neutron outside N=16, so is also able to give insight on the weakening of the N=16 shell gap. Mapping this region of the chart of nuclides helps in the understanding of the evolution of this nuclear structure. A useful probe for this task is single-particle transfer reactions. However, these reactions have been hindered by low yields from radioactive ion beams, as well as suffering from kinematic effects that obscure the states that need to be observed. The ISOLDE Solenoidal Spectrometer (ISS), that measures these transfer reactions in a solenoidal magnetic field, was designed to counteract these effects. With the high-yield radioactive ion beams at ISOLDE, CERN, these transfer reactions became viable.Therefore, the nuclear structure of 29Mg was probed using the d(28Mg,p) reaction using this device. This work marks the first measurement using the ISOLDE Solenoidal spectrometer and the first time that a solenoidal spectrometer has been used at an ISOL radioactive beam facility. The measurements highlight the interplay of nucleon-nucleon interactions and the geometry of the nuclear potential in driving observed trends in single-particle structure, in particular the changes in closed shells towards doubly magic 24O
Single-Photon Avalanche Diodes and Photon Counting Systems: From Phototransduction to Circuit Architecture
by Marc Dandin Nicole McFarlane Md Sakibur Sajal Fahimeh Dehghandehnavi Babak NouriThis book covers the latest trends in the design of single-photon avalanche diodes (SPADs), which are the front-end sensors in modern photon counting systems. The authors describe the fundamental physics that enable photon counting in these devices. They also discuss systems that are made from these detectors, specifically describing circuit architectures that may be used to achieve high-fidelity photon counting. Coverage features example devices and systems designed in the authors’ research groups as well as different approaches undertaken by other experts in the field. The authors take a unique, modular approach that covers every aspect of the design stack, with stand-alone chapters, allowing readers to focus on specific aspects of the technology stack. Coverage includes the device-physics aspects of the detectors, their integration in modern electronics fabrication technologies like CMOS, and application-specific systems that utilize these detectors.
Single Piles in Liquefiable Ground
by Rui WangThis thesis focuses on the seismic response of piles in liquefiable ground. It describes the design of a three-dimensional, unified plasticity model for large post-liquefaction shear deformation of sand, formulated and implemented for parallel computing. It also presents a three-dimensional, dynamic finite element analysis method for piles in liquefiable ground, developed on the basis of this model,. Employing a combination of case analysis, centrifuge shaking table experiments and numerical simulations using the proposed methods, it demonstrates the seismic response patterns of single piles in liquefiable ground. These include basic force-resistance mode, kinematic and inertial interaction coupling mechanism and major influence factors. It also discusses a beam on the nonlinear Winkler foundation (BNWF) solution and a modified neutral plane solution developed and validated using centrifuge experiments for piles in consolidating and reconsolidating ground. Lastly, it studies axial pile force and settlement during post-earthquake reconsolidation, showing pile axial force to be irrelevant in the reconsolidation process, while settlement is process dependent.
Single-Polymer Composites
by Samrat Mukhopadhyay Bapan AdakThis book discusses the concept of single polymer composites (SPCs), their preparation, and properties and the main factors which affect the manufacturing of this class of composites. It deals with the leading classes of polymers, chapter wise, which have been majorly explored for manufacturing SPCs – polyolefins, polyesters, polyamides, and LCPs – includes a case study on manufacturing of SPCs, and devotes three chapters to detailed analyses of research on all-cellulose composites. Addressing the concerns of the researchers, it also answers intriguing questions in the field of SPCs with pointers to the right references. Key Features Presents a summary of single polymer composites based on various polymers Includes mechanical and thermal properties of single polymer composites Reviews detailed view of eco-friendly approaches to composites Offers a special focus on all-cellulose composites Supports concepts with figures, schemes, and tables
Single-Shot 3D Sensing Close to Physical Limits and Information Limits (Springer Theses)
by Florian WillomitzerThis thesis discusses the physical and information theoretical limits of optical 3D metrology, and, based on these principal considerations, introduces a novel single-shot 3D video camera that works close to these limits. There are serious obstacles for a “perfect” 3D-camera: The author explains that it is impossible to achieve a data density better than one third of the available video pixels. Available single-shot 3D cameras yet display much lower data density, because there is one more obstacle: The object surface must be “encoded” in a non-ambiguous way, commonly by projecting sophisticated patterns. However, encoding devours space-bandwidth and reduces the output data density. The dissertation explains how this profound dilemma of 3D metrology can be solved, exploiting just two synchronized video cameras and a static projection pattern.The introduced single-shot 3D video camera, designed for macroscopic live scenes, displays an unprecedented quality and density of the 3D point cloud. The lateral resolution and depth precision are limited only by physics. Like a hologram, each movie-frame encompasses the full 3D information about the object surface and the observation perspective can be varied while watching the 3D movie.
Single-Sided NMR
by Bernhard Blümich Federico Casanova Juan PerloThis book describes the design of the first functioning single-sided tomograph, the related measurement methods, and a number of applications in medicine, materials science, and chemical engineering. It will be the first comprehensive account of this new device and its applications. Among the key advances of this method is that images can be obtained in much shorter times than originally anticipated, and that even vector maps of flow fields can be measured although the magnetic fields are highly inhomogeneous. Furthermore, the equipment is small, mobile and affordable to small and medium enterprises and can be located in doctors' offices.
A Single Sky: How an International Community Forged the Science of Radio Astronomy
by David P. D. MunnsFor more than three thousand years, the science of astronomy depended on visible light. In just the last sixty years, radio technology has fundamentally altered how astronomers see the universe. Combining the wartime innovation of radar and the established standards of traditional optical telescopes, the "radio telescope" offered humanity a new vision of the universe. In A Single Sky, the historian David Munns explains how the idea of the radio telescope emerged from a new scientific community uniting the power of radio with the international aspirations of the discipline of astronomy. The radio astronomers challenged Cold War era rivalries by forging a united scientific community looking at a single sky.Munns tells the interconnecting stories of Australian, British, Dutch, and American radio astronomers, all seeking to learn how to see the universe by means of radio. Jointly, this international array of radio astronomers built a new "community" style of science opposing the "glamour" of nuclear physics. A Single Sky describes a communitarian style of science, a culture of interdisciplinary and international integration and cooperation, and counters the notion that recent science has been driven by competition. Collaboration, or what a prominent radio astronomer called "a blending of radio invention and astronomical insight," produced a science as revolutionary as Galileo's first observations with a telescope. Working together, the community of radio astronomers revealed the structure of the galaxy.
A Single Sky: How an International Community Forged the Science of Radio Astronomy (The\mit Press Ser.)
by David P.D. MunnsHow radio astronomers challenged national borders, disciplinary boundaries, and the constraints of vision to create an international scientific community.For more than three thousand years, the science of astronomy depended on visible light. In just the last sixty years, radio technology has fundamentally altered how astronomers see the universe. Combining the wartime innovation of radar and the established standards of traditional optical telescopes, the “radio telescope” offered humanity a new vision of the universe. In A Single Sky, the historian David Munns explains how the idea of the radio telescope emerged from a new scientific community uniting the power of radio with the international aspirations of the discipline of astronomy. The radio astronomers challenged Cold War era rivalries by forging a united scientific community looking at a single sky.Munns tells the interconnecting stories of Australian, British, Dutch, and American radio astronomers, all seeking to learn how to see the universe by means of radio. Jointly, this international array of radio astronomers built a new “community” style of science opposing the “glamour” of nuclear physics. A Single Sky describes a communitarian style of science, a culture of interdisciplinary and international integration and cooperation, and counters the notion that recent science has been driven by competition. Collaboration, or what a prominent radio astronomer called “a blending of radio invention and astronomical insight,” produced a science as revolutionary as Galileo's first observations with a telescope. Working together, the community of radio astronomers revealed the structure of the galaxy.
Single Stage to Orbit: Politics, Space Technology, and the Quest for Reusable Rocketry (New Series in NASA History)
by Andrew J. ButricaWinner of the Michael C. Robinson Prize for Historical Analysis given by the National Council on Public HistoryWhile the glories and tragedies of the space shuttle make headlines and move the nation, the story of the shuttle forms an inseparabe part of a lesser-known but no less important drama—the search for a reusable single-stage-to-orbit rocket. Here an award-winning student of space science, Andrew J. Butrica, examines the long and tangled history of this ambitious concept, from it first glimmerings in the 1920s, when technicians dismissed it as unfeasible, to its highly expensive heyday in the midst of the Cold War, when conservative-backed government programs struggled to produce an operational flight vehicle.Butrica finds a blending of far-sighted engineering and heavy-handed politics. To the first and oldest idea—that of the reusable rocket-powered single-stage-to-orbit vehicle—planners who belonged to what President Eisenhower referred to as the military-industrial complex.added experimental ("X"), "aircraft-like" capabilties and, eventually, a "faster, cheaper, smaller" managerial approach. Single Stage to Orbit traces the interplay of technology, corporate interest, and politics, a combination that well served the conservative space agenda and ultimately triumphed—not in the realization of inexpensive, reliable space transport—but in a vision of space militarization and commercialization that would appear settled United States policy in the early twenty-first century.
Single-Use Technology in Biopharmaceutical Manufacture
by Regine Eibl Dieter EiblAuthoritative guide to the principles, characteristics, engineering aspects, economics, and applications of disposables in the manufacture of biopharmaceuticals The revised and updated second edition of Single-Use Technology in Biopharmaceutical Manufacture offers a comprehensive examination of the most-commonly used disposables in the manufacture of biopharmaceuticals. The authors—noted experts on the topic—provide the essential information on the principles, characteristics, engineering aspects, economics, and applications. This authoritative guide contains the basic knowledge and information about disposable equipment. The author also discusses biopharmaceuticals’ applications through the lens of case studies that clearly illustrate the role of manufacturing, quality assurance, and environmental influences. This updated second edition revises existing information with recent developments that have taken place since the first edition was published. The book also presents the latest advances in the field of single-use technology and explores topics including applying single-use devices for microorganisms, human mesenchymal stem cells, and T-cells. This important book: • Contains an updated and end-to-end view of the development and manufacturing of single-use biologics • Helps in the identification of appropriate disposables and relevant vendors • Offers illustrative case studies that examine manufacturing, quality assurance, and environmental influences • Includes updated coverage on cross-functional/transversal dependencies, significant improvements made by suppliers, and the successful application of the single-use technologies Written for biopharmaceutical manufacturers, process developers, and biological and chemical engineers, Single-Use Technology in Biopharmaceutical Manufacture, 2nd Edition provides the information needed for professionals to come to an easier decision for or against disposable alternatives and to choose the appropriate system.
Singular Differential Equations and Special Functions (Mathematics and Physics for Science and Technology)
by Luis Manuel Braga da Costa CamposSingular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fifth book consists of one chapter (chapter 9 of the set). The chapter starts with general classes of differential equations and simultaneous systems for which the properties of the solutions can be established 'a priori', such as existence and unicity of solution, robustness and uniformity with regard to changes in boundary conditions and parameters, and stability and asymptotic behavior. The book proceeds to consider the most important class of linear differential equations with variable coefficients, that can be analytic functions or have regular or irregular singularities. The solution of singular differential equations by means of (i) power series; (ii) parametric integral transforms; and (iii) continued fractions lead to more than 20 special functions; among these is given greater attention to generalized circular, hyperbolic, Airy, Bessel and hypergeometric differential equations, and the special functions that specify their solutions. Includes existence, unicity, robustness, uniformity, and other theorems for non-linear differential equations Discusses properties of dynamical systems derived from the differential equations describing them, using methods such as Liapunov functions Includes linear differential equations with periodic coefficients, including Floquet theory, Hill infinite determinants and multiple parametric resonance Details theory of the generalized Bessel differential equation, and of the generalized, Gaussian, confluent and extended hypergeometric functions and relations with other 20 special functions Examines Linear Differential Equations with analytic coefficients or regular or irregular singularities, and solutions via power series, parametric integral transforms, and continued fractions