The Earth s magnetic and gravity field play an important role in global and regional geodynamics. Satellite exploration of these fields has received great attention in recent years. Research satellites such as CHAMP and GRACE as well as the ESA explorer GOCE apply new measurement techniques, thus allowing the recovery of the gravitational and magnetic field with unprecedented accuracy and resolution, spatial as well as temporal. Combined with terrestrial observations and computer models, this data will help develop a more detailed understanding of the Earth as a system. In Germany, many of the processing, modelling and interpreting methodologies for these new observation techniques are developed under the umbrella of the R&D-programme GEOTECHNOLOGIEN, funded by the Federal Ministry of Education and Research (BMBF). The research projects focus on a better understanding of the spatial and temporal variations in the magnetic and gravity field and their relationship to the dynamics of the Earth s interior and global change processes.

This volume presents the results of the multidisciplinary studies covered by the programme for the period 2005-2008. It includes the following topics: High-accuracy gravity field models, near-real-time provision and usage of CHAMP and GRACE atmospheric sounding, sea level variations, improved GRACE gravity time series and their validation by ocean bottom pressure measurements, integration of space geodetic techniques as a basis for the Global Geodetic-Geophysical Observing System (GGOS), high-resolution magnetic field models and global magnetisation maps and time-variable gravity and surface mass processes."

The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp totics and Physical Applications," held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, brought together a group of experts to discuss the topic and produce this volume. There were 41 participants from 14 countries and 27 lectures were presented, all included in this volume. The speakers presented reviews of topics to which they themselves have made important contributions and also re sults of new original research. The result is a volume which, though multiauthored, has the character of a monograph on a single topic. This is the theory of nonlinear ordinary differential equations, the solutions of which have no movable singularities, other than poles, and the extension of this theory to partial differential equations. For short we shall call such systems "equations with the Painleve property." The search for such equations was a very topical mathematical problem in the 19th century. Early work concentrated on first order differential equations. One of Painleve's important contributions in this field was to develop simple methods applicable to higher order equations. In particular these methods made possible a complete analysis of the equation;; = f(y', y, x), where f is a rational function of y' and y, with coefficients that are analytic in x. The fundamental result due to Painleve (Acta Math."

This book deals with the subject of optical and electronic negative refraction (NR) and negative index materials NIM). Diverse approaches for achieving NR and NIM are covered, such as using photonic crystals, phononic crystals, split-ring resonators (SRRs) and continuous media, focusing of waves, guided-wave behavior, and nonlinear effects. It is perhaps the most comprehensive book on the new class of negative refraction materials, covering all aspects of negative refraction and negative index materials.

Originally published in 1979. This reprints the revised and expanded edition of 1996. In this volume, physicists, biologists and chemists, who have been involved in some of the most exciting discoveries in modern scientific thought explore issues which have shaped modern physics and which hint at what may form the next scientific revolution. The major issues discussed are the understanding of time and space, quantum and relativity theories and recent attempts to unite them and related questions in theoretical biology.

Written as a set of tutorial reviews on both experimental facts and theoretical modelling, this volume is intended as an introduction and modern reference in the field for graduate students and researchers in biophysics, biochemistry and applied mathematics.

The Dictionary of Physics is a major reference source in the vast and dynamic field of physics that caters for both the undergraduate and graduate student. Spanning the space between the primary literature and educational texts, it encompasses 16,000 entries and 1.8 million words in four volumes. It provides exhaustive coverage of all the core areas of physics, and comprehensively examines many applied and cross-disciplinary areas. words) include a headword plus concise definition and cross-references to related entries. Description Entries (400-500 words) included a headwords with a concise definition or abstract, plus a detailed discussion with references. Topical Entries (3,000+) include a headword and a concise definition plus an extended essay on an overarching topic with references and further reading.

The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor numerical methods designed for the solution of the multidimensional problems in scientific computing. These methods are based on the rank-structured approximation of multivariate functions and operators by using the appropriate tensor formats. The old and new rank-structured tensor formats are investigated. We discuss in detail the novel quantized tensor approximation method (QTT) which provides function-operator calculus in higher dimensions in logarithmic complexity rendering super-fast convolution, FFT and wavelet transforms. This book suggests the constructive recipes and computational schemes for a number of real life problems described by the multidimensional partial differential equations. We present the theory and algorithms for the sinc-based separable approximation of the analytic radial basis functions including Green's and Helmholtz kernels. The efficient tensor-based techniques for computational problems in electronic structure calculations and for the grid-based evaluation of long-range interaction potentials in multi-particle systems are considered. We also discuss the QTT numerical approach in many-particle dynamics, tensor techniques for stochastic/parametric PDEs as well as for the solution and homogenization of the elliptic equations with highly-oscillating coefficients. Contents Theory on separable approximation of multivariate functions Multilinear algebra and nonlinear tensor approximation Superfast computations via quantized tensor approximation Tensor approach to multidimensional integrodifferential equations

The essays in this book are based on researches the author has undertaken on a wide range of topics, some using equipment no more elaborate than what one can find in an ordinary kitchen, others making elegant use of sophisticated experimental apparatus. Presenting a personal odyssey in physics, Silverman investigates processes for which no visualizable mechanism can be given, or that seem to violate fundamental physical laws (but do not), or that appear to be well understood but turn out to be subtly devious. Written in an engagingly personal style, the essays will be of interest to students of physics and related disciplines as well as professional physicists. Though they deal with subtle concepts, the discussions use little mathematics, and anyone with a little college physics will be able to read the book with pleasure. Silverman's researches deal with in quantum mechanics, atomic and nuclear physics, electromagnetism and optics, gravity, thermodynamics, and the physics of fluids, and these essays address .such questions as: How does one know that atomic electrons move? Would an "anti-atom" fall upward? How is it possible for randomly emitted particles to arrive at a detector preferentially in pairs? Can one influence electrons in London by not watching them in New York? Can a particle be influenced by a magnetic field through which it does not pass? A basketball is not changed by turning it once around its axis, but what about an electron? Can more light reflect from a surface than is incident upon it? "A Universe of Atoms" is the second edition of Silverman's "And Yet It Moves"; each essay in the earlier collection has been revised and updated, and some new essays on the uncommon physics of common objects have been added

This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, Malaysia from 25 - 27th August 2015. With chapters devoted to the most recent discoveries in mathematics and statistics and serve as a platform for knowledge and information exchange between experts from academic and industrial sectors, it covers a wide range of topics, including numerical analysis, fluid mechanics, operation research, optimization, statistics and game theory. It is a valuable resource for pure and applied mathematicians, statisticians, engineers and scientists, and provides an excellent overview of the latest research in mathematical sciences.

These two volumes constitute the Proceedings of the ConfA(c)rence MoshA(c) Flato, 1999'. Their spectrum is wide but the various areas covered are, in fact, strongly interwoven by a common denominator, the unique personality and creativity of the scientist in whose honor the Conference was held, and the far-reaching vision that underlies his scientific activity. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics. Volume I is prefaced by reminiscences of and tributes to Flato's life and work. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena. Audience: These volumes will be of interest to researchers and graduate students in a variety of domains, ranging from abstract mathematics to theoretical physics and other applications. Some parts will be accessible to proficient undergraduate students, and even to persons with a minimum of scientific knowledge but enough curiosity.

In his first book ever, the father of string theory reinvents the world's concept of the known universe and man's unique place within it. Line drawings. Leonard Susskind has been the Felix Bloch Professor in theoretical physics at Stanford University since 1978. The author of The Cosmic Landscape, he is a member of the National Academy of Science and the American Academy of Arts and Sciences, and the recipient of numerous prizes including the science writing prize of the American Institute of Physics for his Scientific American article on black holes. He lives in Palo Alto, California.

Elegant, engaging, exacting, and concise, Giancoli's Physics: Principles with Applications, Seventh Edition, helps students view the world through eyes that know physics. Giancoli's text is a trusted classic, known for its elegant writing, clear presentation, and quality of content. Using concrete observations and experiences students can relate to, the text features an approach that reflects how science is actually practiced: it starts with the specifics, then moves to the great generalizations and the more formal aspects of a topic to show students why we believe what we believe. Written with the goal of giving students a thorough understanding of the basic concepts of physics in all its aspects, the text uses interesting applications to biology, medicine, architecture, and digital technology to show students how useful physics is in their own everyday lives and in their future professions. This package includes MasteringPhysics (R), an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Interactive, self-paced tutorials provide individualized coaching to help students stay on track. With a wide range of activities available, students can actively learn, understand, and retain even the most difficult concepts. MasteringPhysics should only be purchased when required by an instructor. Please be sure you have the correct ISBN and Course ID. Instructors, contact your Pearson representative for more information.

The Landolt-Bornstein subvolumes III/44A and III/44B update the existing 8 volumes III/41 about Semiconductors and contain new Data and Updates for I-VII, III-V, III-VI, IV, VI and II-VI Compounds. The text, tables figures and references are provided in self-contained document files, each one dedicated to a substance and property. The first subvolume III/44A contains a "Systematics of Semiconductor Properties," which should help the non-specialist user to understand the meaning of the material parameters. Hyperlinked lists of substances and properties lead directly to the documents and make the electronic version an easy-to-use source of semiconductor data. In the new updates III/44A and III/44B, links to existing material in III/41 or to related documents for a specific substance are also included.

Definitions of what is meant by a heat-resistant polymer vary considerably. We have taken the term to mean a polymer which can be used, at least for short time periods, at temperatures from 150 DegreesC. The greatest problem which arises in writing a monograph on such materials is the tremendous amount of data that is available. More than 2000 references have been published on one heat-resistant polymer system alone over a period of little more than two years. The result is that a very high degree of selectivity must be exercised with respect to the information reproduced. We have chosen to restrict our coverage to polymers that have received at least some degree of commercial exploitation and to details of their methods of preparation, their thermal and thermo-oxidative stabilities and modes of degradation, and their properties at elevated temperatures. It must be emphasized that other properties not cited, e. g. , hydrolytic and chemical stability, and resistance to ultraviolet radiation, may be equally important in particular uses of these materials. The "older" heat-resistant polymers, e. g. , the thermosets and some of the fluorine-containing materials, are not dealt with in such depth as are the "newer" polymers with aromatic and/or heterocyclic rings in the chain. This is because books have been available for some time on the well-established commercial polymers and developments in them have not been as marked re cently as in the aromatic and heterocyclic macromolecules.

Nanostructuring of materials is a task at the heart of many modern disciplines in mechanical engineering, as well as optics, electronics, and the life sciences. This book includes an introduction to the relevant nonlinear optical processes associated with very short laser pulses for the generation of structures far below the classical optical diffraction limit of about 200 nanometers as well as coverage of state-of-the-art technical and biomedical applications. These applications include silicon and glass wafer processing, production of nanowires, laser transfection and cell reprogramming, optical cleaning, surface treatments of implants, nanowires, 3D nanoprinting, STED lithography, friction modification, and integrated optics. The book highlights also the use of modern femtosecond laser microscopes and nanoscopes as novel nanoprocessing tools.

The runaway success of the microchip processor may be nearing its end, with profound implications for our economy, society and way of life, even leaving Silicon Valley as a new Rust Belt, its technology obsolete. Step forward the quantum computer, which harnesses the power and complexity of the atomic realm, and may be useful in solving humanity's greatest challenges from climate change, to global starvation, to incurable diseases. Humanity's next great technological achievement already promises to be every bit as revolutionary as the transistor and microchip once were. Its unprecedented gains in computing power and unique ability to simulate the physical universe herald advances that could change every aspect of our lives.

Corporations and whole nations are betting on quantum computing, hoping to exploit its power to design more efficient vehicles, create life-saving new drugs and streamline industries to revolutionize the economy. But this is only the beginning. Quantum computers could allow us to finally create nuclear fusion reactors that produce clean, renewable energy without radioactive waste or threats of meltdown. They could help us crack the biological processes that generate natural, cheap fertilizer and enable us to feed the world's growing populations. And they could unravel the fiendishly difficult protein folding that lies at the heart of previously incurable diseases such as Alzheimer's, motor neurone disease and Parkinson's, helping us to live longer, healthier lives. Told with Kaku's signature clarity and enthusiasm, Quantum Supremacy is the story of this exciting frontier and the race to claim humanity's future.

This book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Universite Denis Diderot (Paris, France) in January 1995. It contains original results as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformation-quantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to up-to-date applications such as imaging and neuronal models. Audience: Researchers in mathematical physics. "

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica(r) to derive numeric and symbolic solutions.

Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user's purposes.

New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

"

Sophus Lie (1842-1899) is without doubt one of Norway's greatest scientific talents. His mathematical works have made him famous around the world no less than Niels Henrik Abel. The terms Lie groups and Lie algebra are today part of the standard mathematical vocabulary. In his comprehensive biography the author Arild Stubhaug let us come close to both the person Sophus Lie and his time. We follow him through childhood at the vicarage in Nodfjordeid, his growing up in Moss, school and studying in Christiania, travelling in Europe and his contacts with the leading mathematicians of his time. The academic and scientific career brought Lie from Christiania to Leipzig as professor, before the attempt to call him back to Norway, when she stood on the threshhold to national sovereignty, was successful.

For the first time in book form, this comprehensive and systematic monograph presents the methods for the reversible synthesis of logic functions and circuits. This methodology offers designers the capability to solve major problems in system design now and in the future, such as the high rate of power consumption, and the emergence of quantum effects for highly dense ICs. The challenge addressed here is to design reliable systems that consume as little power as possible and in which the signals are processed and transmitted at very high speeds with very high signal integrity. Researchers in academia or industry and graduate students, who work in logic synthesis, computer design, computer-aided design tools, and low power VLSI circuit design, will find this book a valuable resource.

This volume is devoted to the life and work of the applied mathematician Professor Erhard Meister (1930-2001). He was a member of the editorial boards of this book series Operator The ory: Advances and Applications as well as of the journal Integral Equations and Operator Theory, both published by Birkhauser (now part of Springer-Verlag). Moreover he played a decisive role in the foundation of these two series by helping to establish contacts between Birkhauser and the founder and present chief editor of this book series after his emigration from Moldavia in 1974. The volume is divided into two parts. Part A contains reminiscences about the life of E. Meister including a short biography and an exposition of his professional work. Part B displays the wide range of his scientific interests through eighteen original papers contributed by authors with close scientific and personal relations to E. Meister. We hope that a great part of the numerous features of his life and work can be re-discovered from this book."

During times like these, who hasn't daydreamed about traveling forward or backward in time? In Time Travel: Ten Short Lessons, popular-science master Brian Clegg gives a grand tour of the essential lessons in this game-changing area of physics, from the imagination of novelists to current research. Einstein's special theory of relativity told us that time travel to the future was possible, and later his general theory of relativity showed us that loops in spacetime could exist, meaning that we might be able to bend time backward, too. But what are the practicalities of making time travel possible? What do we still need to know? How do we deal with paradoxical twists in time-and could quantum physics hold the answer? Packed full of easy-to-understand diagrams and fact boxes, these ten lessons cover all the basics, as well as the latest understanding and developments, to enlighten the nonscientist. About the series: The Pocket Einstein series is a collection of essential pocket-sized guides for anyone looking to understand a little more about some of the most important and fascinating areas of science in the twenty-first century. Broken down into ten simple lessons and written by leading experts in their field, discover the ten most important takeaways from those areas of science you've always wanted to know more about.