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Books > Science & Mathematics > Physics

Do Wave Functions Jump? - Perspectives of the Work of GianCarlo Ghirardi (Hardcover, 1st ed. 2021): Valia Allori, Angelo Bassi,... Do Wave Functions Jump? - Perspectives of the Work of GianCarlo Ghirardi (Hardcover, 1st ed. 2021)
Valia Allori, Angelo Bassi, Detlef Durr, Nino Zanghi
R3,646 Discovery Miles 36 460 Ships in 12 - 17 working days

This book is a tribute to the scientific legacy of GianCarlo Ghirardi, who was one of the most influential scientists in the field of modern foundations of quantum theory. In this appraisal, contributions from friends, collaborators and colleagues reflect the influence of his world of thoughts on theory, experiments and philosophy, while also offering prospects for future research in the foundations of quantum physics. The themes of the contributions revolve around the physical reality of the wave function and its notorious collapse, randomness, relativity and experiments.

Cam Design and Manufacturing Handbook (Hardcover, 3rd ed.): Robert L. Norton Cam Design and Manufacturing Handbook (Hardcover, 3rd ed.)
Robert L. Norton; Contributions by Ronald G Mosier; Foreword by Thomas J. Lyden
R2,871 Discovery Miles 28 710 Ships in 10 - 15 working days
The Physics of the Manhattan Project (Hardcover, 4th ed. 2021): Bruce Cameron Reed The Physics of the Manhattan Project (Hardcover, 4th ed. 2021)
Bruce Cameron Reed
R1,866 Discovery Miles 18 660 Ships in 12 - 17 working days

The development of nuclear weapons during the Manhattan Project is one of the most significant scientific events of the twentieth century. This revised and updated 4th edition explores the challenges that faced the scientists and engineers of the Manhattan Project. It gives a clear introduction to fission weapons at the level of an upper-year undergraduate physics student by examining the details of nuclear reactions, their energy release, analytic and numerical models of the fission process, how critical masses can be estimated, how fissile materials are produced, and what factors complicate bomb design. An extensive list of references and a number of exercises for self-study are included. Revisions to this fourth edition include many upgrades and new sections. Improvements are made to, among other things, the analysis of the physics of the fission barrier, the time-dependent simulation of the explosion of a nuclear weapon, and the discussion of tamped bomb cores. New sections cover, for example, composite bomb cores, approximate methods for various of the calculations presented, and the physics of the polonium-beryllium "neutron initiators" used to trigger the bombs. The author delivers in this book an unparalleled, clear and comprehensive treatment of the physics behind the Manhattan project.

Magnetic Dynamics in Antiferromagnetically-Coupled Ferrimagnets - The Role of Angular Momentum (Hardcover, 1st ed. 2020):... Magnetic Dynamics in Antiferromagnetically-Coupled Ferrimagnets - The Role of Angular Momentum (Hardcover, 1st ed. 2020)
Takaya Okuno
R2,789 Discovery Miles 27 890 Ships in 10 - 15 working days

This book presents the theoretical and experimental investigations on antiferromagnetically coupled ferrimagnets and reveals new aspects of ferrimagnetic dynamics in terms of the role of angular momentum. The purpose of this book is to show readers that antiferromagnets/ferrimagnets are useful in spintronic devices in that (1) The non adiabatic spin transfer torque in antiferromagnets acts as a staggered magnetic field, which can drive the magnetic domain walls, and (2) The Gilbert damping parameter , the energy dissipation rate associated with the magnetic dynamics of ferrimagnets, is insensitive to temperature in contrast to the conventional understanding that the effective of ferrimagnets diverges at the angular momentum compensation temperature. This book provides readers with a scientific platform of ferrimagnetic dynamics, which serves as a useful basis for realizing the next generation of spintronic devices.

Diameter-Transformed Fluidized Bed - Fundamentals and Practice (Hardcover, 1st ed. 2020): Youhao Xu, Bona Lu, Mingyuan He,... Diameter-Transformed Fluidized Bed - Fundamentals and Practice (Hardcover, 1st ed. 2020)
Youhao Xu, Bona Lu, Mingyuan He, Yujie Tian, Wei Wang
R4,924 Discovery Miles 49 240 Ships in 12 - 17 working days

This book puts forward the concept of the Diameter-Transformed Fluidized Bed (DTFB): a fluidized bed characterized by the coexistence of multiple flow regimes and reaction zones, achieved by transforming the bed into several sections of different diameters. It reviews fundamental aspects, including computational fluid dynamics simulations and industrial practices in connection with DTFB. In particular, it highlights an example concerning the development of maximizing iso-paraffins (MIP) reactors for regulating complex, fluid catalytic cracking reactions in petroleum refineries. The book is a must-have for understanding how academic and industrial researchers are now collaborating in order to develop novel catalytic processes.

Elements of Classical and Quantum Integrable Systems (Hardcover, 1st ed. 2019): Gleb Arutyunov Elements of Classical and Quantum Integrable Systems (Hardcover, 1st ed. 2019)
Gleb Arutyunov
R2,523 Discovery Miles 25 230 Ships in 12 - 17 working days

Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.

Combinatorial Kalman Filter and High Level Trigger Reconstruction for the Belle II Experiment (Hardcover, 1st ed. 2019): Nils... Combinatorial Kalman Filter and High Level Trigger Reconstruction for the Belle II Experiment (Hardcover, 1st ed. 2019)
Nils Braun
R2,789 Discovery Miles 27 890 Ships in 10 - 15 working days

Combinatorial Kalman filters are a standard tool today for pattern recognition and charged particle reconstruction in high energy physics. In this thesis the implementation of the track finding software for the Belle II experiment and first studies on early Belle II data are presented. The track finding algorithm exploits novel concepts such as multivariate track quality estimates to form charged trajectory hypotheses combining information from the Belle II central drift chamber with the inner vertex sub-detectors. The eventual track candidates show an improvement in resolution on the parameters describing their spatial and momentum properties by up to a factor of seven over the former legacy implementation. The second part of the thesis documents a novel way to determine the collision event null time T0 and the implementation of optimisation steps in the online reconstruction code, which proved crucial in overcoming the high level trigger limitations.

Non-perturbative Methods in Statistical Descriptions of Turbulence (Hardcover, 1st ed. 2021): Jan Friedrich Non-perturbative Methods in Statistical Descriptions of Turbulence (Hardcover, 1st ed. 2021)
Jan Friedrich
R3,937 Discovery Miles 39 370 Ships in 12 - 17 working days

This book provides a comprehensive overview of statistical descriptions of turbulent flows. Its main objectives are to point out why ordinary perturbative treatments of the Navier-Stokes equation have been rather futile, and to present recent advances in non-perturbative treatments, e.g., the instanton method and a stochastic interpretation of turbulent energy transfer. After a brief introduction to the basic equations of turbulent fluid motion, the book outlines a probabilistic treatment of the Navier-Stokes equation and chiefly focuses on the emergence of a multi-point hierarchy and the notion of the closure problem of turbulence. Furthermore, empirically observed multiscaling features and their impact on possible closure methods are discussed, and each is put into the context of its original field of use, e.g., the renormalization group method is addressed in relation to the theory of critical phenomena. The intended readership consists of physicists and engineers who want to get acquainted with the prevalent concepts and methods in this research area.

Ionizing Radiation Effects and Applications (Hardcover): Boualem Djezzar Ionizing Radiation Effects and Applications (Hardcover)
Boualem Djezzar
R3,485 R3,257 Discovery Miles 32 570 Save R228 (7%) Ships in 10 - 15 working days
Continuum Mechanics with Eulerian Formulations of Constitutive Equations (Hardcover, 1st ed. 2021): M.B. Rubin Continuum Mechanics with Eulerian Formulations of Constitutive Equations (Hardcover, 1st ed. 2021)
M.B. Rubin
R4,589 Discovery Miles 45 890 Ships in 12 - 17 working days

This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic-inelastic materials; thermoelastic-inelastic materials with application to shock waves; thermoelastic-inelastic porous materials; and thermoelastic-inelastic growing biological tissues.

Computational Aerodynamics and Aeroacoustics (Hardcover, 1st ed. 2020): Tapan K. Sengupta, Yogesh G. Bhumkar Computational Aerodynamics and Aeroacoustics (Hardcover, 1st ed. 2020)
Tapan K. Sengupta, Yogesh G. Bhumkar
R3,020 Discovery Miles 30 200 Ships in 12 - 17 working days

Recent advances in scientific computing have caused the field of aerodynamics to change at a rapid pace, simplifying the design cycle of aerospace vehicles enormously - this book takes the readers from core concepts of aerodynamics to recent research, using studies and real-life scenarios to explain problems and their solutions. This book presents in detail the important concepts in computational aerodynamics and aeroacoustics taking readers from the fundamentals of fluid flow and aerodynamics to a more in-depth analysis of acoustic waves, aeroacoustics, computational modelling and processing. This book will be of use to students in multiple branches of engineering, physics and applied mathematics. Additionally, the book can also be used as a text in professional development courses for industry engineers and as a self-help reference for active researchers in both academia and the industry.

Cosmos Creation - The Unified Superstandard Model, Volume 2, Second Edition: Quantum Entanglement Resolved by a New... Cosmos Creation - The Unified Superstandard Model, Volume 2, Second Edition: Quantum Entanglement Resolved by a New Wave-Particle Duality, Precepts for Creating a Cosmos, Shape of the Universe, Refined Superstandard Axioms and Language, Particle Function (Hardcover)
Stephen Blaha
R523 Discovery Miles 5 230 Ships in 12 - 17 working days
Kinetic Alfven Waves in Laboratory, Space, and Astrophysical Plasmas (Hardcover, 1st ed. 2020): De-Jin Wu, Ling Chen Kinetic Alfven Waves in Laboratory, Space, and Astrophysical Plasmas (Hardcover, 1st ed. 2020)
De-Jin Wu, Ling Chen
R3,956 Discovery Miles 39 560 Ships in 12 - 17 working days

This book provides a systematic introduction to the observation and application of kinetic Alfven waves (KAWs) in various plasma environments, with a special focus on the solar-terrestrial coupling system. Alfven waves are low-frequency and long-wavelength fluctuations that pervade laboratory, space and cosmic plasmas. KAWs are dispersive Alfven waves with a short wavelength comparable to particle kinematic scales and hence can play important roles in the energization and transport of plasma particles, the formation of fine magneto-plasma structures, and the dissipation of turbulent Alfven waves. Since the 1990s, experimental studies on KAWs in laboratory and space plasmas have significantly advanced our understanding of KAWs, making them an increasingly interesting subject. Without a doubt, the solar-terrestrial coupling system provides us with a unique natural laboratory for the comprehensive study of KAWs. This book presents extensive observations of KAWs in solar and heliospheric plasmas, as well as numerous applications of KAWs in the solar-terrestrial coupling system, including solar atmosphere heating, solarwind turbulence, solar wind-magnetosphere interactions, and magnetosphere-ionosphere coupling. In addition, for the sake of consistency, the book includes the basic theories and physical properties of KAWs, as well as their experimental demonstrations in laboratory plasmas. In closing, it discusses possible applications of KAWs to other astrophysical plasmas. Accordingly, the book covers all the major aspects of KAWs in a coherent manner that will appeal to advanced graduate students and researchers whose work involves laboratory, space and astrophysical plasmas.

Comets in the 21st Century - A Personal Guide to Experiencing the Next Great Comet! (Hardcover): Daniel C Boice, Thomas Hockey Comets in the 21st Century - A Personal Guide to Experiencing the Next Great Comet! (Hardcover)
Daniel C Boice, Thomas Hockey
R1,389 Discovery Miles 13 890 Ships in 10 - 15 working days

Have you ever seen a comet? It is a marvelous experience, one that all humans can share, that spawns a deep yearning to understand the spectacle. Have you ever wondered what comets are and why astronomers spend so much time studying them? Now, a comet expert and an astronomical historian have come together to produce the unique book that you now hold in your hands. Using their several decades of teaching experience, the authors have concisely presented the information you need to comprehend these majestic apparitions that grace our night skies. No mathematical proficiency is needed, in fact, this book doesn't contain a single equation! Comets are cosmic Rosetta stones, bridging our current knowledge by digging back to the earliest days of our Solar Systems. How did life arise on Earth? Did comets play a significant role in bringing water and the necessary organic matter to our early Earth? How about the dinosaurs? Were they driven to extinction by a cometary impact 66 million years ago? Comets may be both the enablers and destroyers of life on Earth as we know it. These are some of the tantalizing questions discussed here. If you so desire, steps are given to join the ranks of amateur comet hunters. Astronomy is one of the last sciences where amateurs play a significant role. Your reward for discovery? A comet officially bearing your name in the history books! The next Great Comet is on its way, we just do not know when it will arrive. Armed with this book, you will be ready to enjoy this unforgettable event.

Hot Matter from High-Power Lasers - Fundamentals and Phenomena (Hardcover, 1st ed. 2020): Peter Mulser Hot Matter from High-Power Lasers - Fundamentals and Phenomena (Hardcover, 1st ed. 2020)
Peter Mulser
R3,360 Discovery Miles 33 600 Ships in 12 - 17 working days

This book offers an introduction to the booming field of high-power laser-matter interaction. It covers the heating of matter to super-high temperatures and pressures, novel schemes of fast particle acceleration, matter far from thermal equilibrium, stimulated radiation scattering, relativistic optics, strong field QED, as well as relevant applications, such as extreme states of matter, controlled fusion, and novel radiation sources. All models and methods considered are introduced as they arise and illustrated by relevant examples. Each chapter contains a selection of problems to test the reader's understanding, to apply the models under discussion to relevant situations and to discover their limits of validity. The carefully chosen illustrations greatly facilitate the visualization of physical processes as well as presenting detailed numerical results. A list of useful formulas and tables are provided as a guide to quantifying results from experiments and numerical simulations. Each chapter ends with a description of the state of the art and the current research frontiers.

Intelligent Astrophysics (Hardcover, 1st ed. 2021): Ivan Zelinka, Massimo Brescia, Dalya Baron Intelligent Astrophysics (Hardcover, 1st ed. 2021)
Ivan Zelinka, Massimo Brescia, Dalya Baron
R4,590 Discovery Miles 45 900 Ships in 12 - 17 working days

This present book discusses the application of the methods to astrophysical data from different perspectives. In this book, the reader will encounter interesting chapters that discuss data processing and pulsars, the complexity and information content of our universe, the use of tessellation in astronomy, characterization and classification of astronomical phenomena, identification of extragalactic objects, classification of pulsars and many other interesting chapters. The authors of these chapters are experts in their field and have been carefully selected to create this book so that the authors present to the community a representative publication that shows a unique fusion of artificial intelligence and astrophysics.

Progress in Turbulence VIII - Proceedings of the iTi Conference in Turbulence 2018 (Hardcover, 1st ed. 2019): Ramis Oerlu,... Progress in Turbulence VIII - Proceedings of the iTi Conference in Turbulence 2018 (Hardcover, 1st ed. 2019)
Ramis Oerlu, Alessandro Talamelli, Joachim Peinke, Martin Oberlack
R5,125 R4,276 Discovery Miles 42 760 Save R849 (17%) Ships in 12 - 17 working days

This volume collects the edited and reviewed contributions presented in the 8th iTi Conference on Turbulence, held in Bertinoro, Italy, in September 2018. In keeping with the spirit of the conference, the book was produced afterwards, so that the authors had the opportunity to incorporate comments and discussions raised during the event. The respective contributions, which address both fundamental and applied aspects of turbulence, have been structured according to the following main topics: I TheoryII Wall-bounded flowsIII Simulations and modellingIV ExperimentsV Miscellaneous topicsVI Wind energy

Hydraulic Components Volume A - Hydraulic Sealing Elements (Hardcover): Medhat Khalil Hydraulic Components Volume A - Hydraulic Sealing Elements (Hardcover)
Medhat Khalil
R2,251 Discovery Miles 22 510 Ships in 10 - 15 working days
Electro-Chemo-Mechanical Properties of Solid Electrode Surfaces (Hardcover, 1st ed. 2020): Masahiro Seo Electro-Chemo-Mechanical Properties of Solid Electrode Surfaces (Hardcover, 1st ed. 2020)
Masahiro Seo
R3,518 Discovery Miles 35 180 Ships in 10 - 15 working days

This book deals with the electro-chemo-mechanical properties characteristic of and unique to solid electrode surfaces, covering interfacial electrochemistry and surface science. Electrochemical reactions such as electro-sorption, electro-deposition or film growth on a solid electrode induce changes in surface stress or film stress that lead to transformation of the surface phase or alteration of the surface film. The properties of solid electrode surfaces associated with the correlation between electrochemical and mechanical phenomena are named "electro-chemo-mechanical properties". The book first derives the surface thermodynamics of solid electrodes as fundamentals for understanding the electro-chemo-mechanical properties. It also explains the powerful techniques for investigating the electro-chemo-mechanical properties, and reviews the arguments for derivation of surface thermodynamics of solid electrodes. Further, based on current experimental findings and theories, it discusses the importance of the contribution of surface stress to the transformation of surface phases, such as surface reconstruction and underpotential deposition in addition to the stress evolution during film growth and film reduction. Moreover, the book describes the nano-mechanical properties of solid surfaces measured by nano-indentation in relation to the electro-chemo-mechanical properties. This book makes a significant contribution to the further development of numerous fields, including electrocatalysis, materials science and corrosion science.

Bulk Crystal and Thin Film Formation (Hardcover): Sharon Levine Bulk Crystal and Thin Film Formation (Hardcover)
Sharon Levine
R2,768 Discovery Miles 27 680 Ships in 12 - 17 working days
Quantum Harmonic Analysis - An Introduction (Hardcover): Maurice A. De Gosson Quantum Harmonic Analysis - An Introduction (Hardcover)
Maurice A. De Gosson
R4,408 Discovery Miles 44 080 Ships in 12 - 17 working days

Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the modern formulation of quantum mechanics. This allows us at the same time to suggest some new ideas and methods, with a special focus on topics such as the Wigner phase space formalism and its applications to the theory of the density operator and its entanglement properties. This book can be used with profit by advanced undergraduate students in mathematics and physics, as well as by confirmed researchers.

Fire-Gazing - When Venus Transits the Sun 2004 and 2012 (Hardcover): Gail R Dimitroff Fire-Gazing - When Venus Transits the Sun 2004 and 2012 (Hardcover)
Gail R Dimitroff
R618 Discovery Miles 6 180 Ships in 12 - 17 working days

"Venus has always been associated with the feminine in astrology and in culture, yet little emphasis is placed upon the wisdom aspect of the planet. With the cycles of Venus we are given insight into the unfolding of wisdom within ourselves and society, especially with the cycle of Venus' inferior conjunctions - the so-called 2nd order cycle of the planet. In her timely and much-needed work, Firegazing, Gail has brilliantly outlined the meaning and import of these cycles and the deeper meaning of a planet that often only receives a passing notice in astrology, yet is so intimately connected with our own lives and what it is to be human. When Venus passes across the face of the solar orb, we are given opportunity to gaze into the very fire of the soul itself. Well done, Gail " - Malvin Artley

Biomedical and Resonance Optics - Theory and Practice (Hardcover, 1st ed. 2021): Leonid V. Tanin, Andrei L. Tanin Biomedical and Resonance Optics - Theory and Practice (Hardcover, 1st ed. 2021)
Leonid V. Tanin, Andrei L. Tanin
R4,937 Discovery Miles 49 370 Ships in 12 - 17 working days

This book discusses fundamentally new biomedical imaging methods, such as holography, holographic and resonant interferometry, and speckle optics. It focuses on the development of holographic interference microscopy and its use in the study of phase objects such as nerve and muscle fibers subjected to the influence of laser radiation, magnetic fields, and hyperbaric conditions. The book shows how the myelin sheath and even the axon itself exhibit waveguide properties, enabling a fresh new look at the mechanisms of information transmission in the human body. The book presents theoretically and experimentally tested holographic and speckle-optical methods and devices used for investigating complex, diffusely scattering surfaces such as skin and muscle tissue. Additionally, it gives broad discussion of the authors' own original fundamental and applied research dedicated to helping physicians introduce new contact-less methods of diagnosis and treatment of diseases of the cardiovascular and neuromuscular systems into medical practice. The book is aimed at a broad spectrum of scientific specialists in the fields of speckle optics, holography, laser physics, morphology and cytochemistry, as well as medical professionals such as physiologists, neuropathologists, neurosurgeons, cardiologists and dentists.

LED-Based Photoacoustic Imaging - From Bench to Bedside (Hardcover, 1st ed. 2020): Mithun Kuniyil Ajith Singh LED-Based Photoacoustic Imaging - From Bench to Bedside (Hardcover, 1st ed. 2020)
Mithun Kuniyil Ajith Singh
R3,330 Discovery Miles 33 300 Ships in 10 - 15 working days

This book highlights the use of LEDs in biomedical photoacoustic imaging. In chapters written by key opinion leaders in the field, it covers a broad range of topics, including fundamentals, principles, instrumentation, image reconstruction and data/image processing methods, preclinical and clinical applications of LED-based photoacoustic imaging. Apart from preclinical imaging studies and early clinical pilot studies using LED-based photoacoustics, the book includes a chapter exploring the opportunities and challenges of clinical translation from an industry perspective. Given its scope, the book will appeal to scientists and engineers in academia and industry, as well as medical experts interested in the clinical applications of photoacoustic imaging.

Induction Coil - Theory And Applications (Hardcover, illustrated edition): E. Taylor Jones Induction Coil - Theory And Applications (Hardcover, illustrated edition)
E. Taylor Jones
R967 Discovery Miles 9 670 Ships in 12 - 17 working days

INDUCTION COIL THEORY AND APPLICATIONS BY E. TAYLOR JpNES, D. Sc. PROFESSOR OP NATURAL PHILOSOPHY IN THE UNIVERSITY OF GLASGOW LONDON SIR ISAAC PITMAN SONS, LTD. 1932 SIR ISAAC PITMAN SONS, LTD. PARKER STREET, KINGSWAY, LONDON, W. C. 2 THE PITMAN PRESS, BATH THE RIALTO, COLLINS STREET, MELBOURNE 2 WEST 45TH STREET, NEW YORK SIR ISAAC PITMAN SONS CANADA, LTD. 7O BOND STREET, TORONTO PRINTED IN GREAT BRITAIN AT THE PITMAN PRESS, BATH PREFACE THE theory of the action of an induction coil, or that of any other form of oscillation transformer, is essentially a theory of the transient electric currents set flowing at some sudden or very rapid change jn the circumstances of one of a pair of coupled circuits. The precis-manner of variation of the currents depends upon the method by which they are started, but generally in inductive circuits it takes the form of two superposed oscillations which gradually die away while the system is adjusting itself to its new conditions. In many cases the currents, besides varying with time, are also variable along the wire owing to its distributed capacity a fact which is too often overlooked, with the consequence that erroneous state ments are sometimes made regarding fundamental matters, such as, for example, the law of electromagnetic induction which is discussed in Chapter I. The book contains a less detailed and more descriptive account of the action of induction coils than that given in the Theory of the Induction Coil published eleven years ago. All the essential features of the theory are, however, retained in the present account, and free use has been made of portions of the earlier book where they appeared suitable for the purposes of the presentone. As in the former book, oscillographic records are used largely to illustrate the subject, and many new examples are here collected, including some, in Chapter III, which illustrate the relative merits of coils and transformers as generators of high potentials. In using an induction coil or other generator for some prac tical purpose, it is important to understand the nature of the function which it has to perform. One such duty, for which induction coils are in general use at the present time, is that of producing ignition in motor-car engines, and an account of this subject is accordingly given in Chapter VIII, with a discussion of the relative effectiveness in ignition of different types of induction coil spark. vi PREFACE The induction coil has recently proved to be a very suitable generator of cathode ray beams for the study of electron diffraction phenomena, and a description of experiments by this method is given in Chapter VI. At the present time much use is made of the sustained oscillations of coupled circuits, especially those in which the amplitude is kept constant by the action of a triode valve. There is an important difference between such maintained oscillations and the transient vibrations which follow a sudden alteration of the circuit conditions. In the latter, both com ponent vibrations are usually strongly in evidence together, but in the oscillations maintained by a valve only one of the components is usually present, and it is only in very special circumstances that both oscillations can be maintained simul taneously. This question is discussed in Chapter IX, in which the conditions for the maintenance of one component, or the other, or of both together, areexplained. The author wishes to thank the Editors of the Philosophical Magazine, The Electrician, and the Journal of the Rontgen Society, for their kind permission to use articles and illustra tions which have been published in those journals. Much of the experimental work described in the following pages was carried out in the Physics Laboratory of the Uni versity College of North Wales, Bangor, and in the Natural Philosophy Department of the University of Glasgow...

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