Moire fringe techniques have expanded considerably over the past decade and are now established as important metrological tools. The main reason for this flourishing expansion is the use of the moire fringe method in the common availability of the laser light. This book covers the major theoretical aspects and applications of the moire technique. A concise description of the formation of moire fringes and their interpretation is presented. A comprehensive review of the most important applications of the moire phenomenon is given. Although some of them are still being refined there are already well established applications to moire displacement and alignment sensors, grating interferometry, moire processing of interferograms, moire topography and strain analysis. There is also a discussion on the influence of the types of superimposition on structures and of the type of illumination used on the intensity distribution in moire patterns.

An understanding of moire fringes and of the characteristics of moire patterns, which depend on various optical configurations, is essential for the proper use and control of moire methods. The physical and practical attributes of each technique are clarified throughout. The book will prove most appropriate in meeting the needs of newcomers to the field, as well as those of researchers and technicians who want to acquire a broader view and assessment of particular techniques.

Future energy technologies must embrace and achieve sustainability by displacing fossil carbon-intensive energy consumption or capture/reuse/sequester fossil carbon. This book provides a deeper knowledge on individual low (and zero) carbon technologies in a comprehensive way, covering details of recent developments on these technologies in different countries. It also covers materials and processes involved in energy generation, transmission, distribution, storage, policies, and so forth, including solar electrical; thermal systems; energy from biomass and biofuels; energy transmission, distribution, and storage; and buildings using energy-efficient lighting.

The Student's Study Guide summarizes the essential information in each chapter and provides additional problems for the student to solve, reinforcing the text's emphasis on problem-solving strategies and student misconceptions. Student's Study Guide for University Physics with Modern Physics, Volume 1 (Chapters 1-20)

This volume contains the proceedings of the conference Logical Foundations of Mathematics, Computer Science, and Physics-Kurt Godel's Legacy, held in Brno, Czech Republic on the 90th anniversary of his birth. The wide and continuing importance of Godel s work in the logical foundations of mathematics, computer science, and physics is confirmed by the broad range of speakers who participated in making this gathering a scientific event.

The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. Contents Nonlinear capacity method of S. I. Pokhozhaev Method of self-similar solutions of V. A. Galaktionov Method of test functions in combination with method of nonlinear capacity Energy method of H. A. Levine Energy method of G. Todorova Energy method of S. I. Pokhozhaev Energy method of V. K. Kalantarov and O. A. Ladyzhenskaya Energy method of M. O. Korpusov and A. G. Sveshnikov Nonlinear Schroedinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results

Contents:
Preface. Section 1: metal and Semiconductor Nanostructures. Semiconductor Nanocrystal Colloids. Injection and Transport of Spin Coherence in Semiconductors. Synthesis of Nanowires from Laser Ablation. Level Spacing in Small Clusters. A Phenomenological Model of Percolating Magnetic Nanostructures. Structure of nc-Si:H Films. Nano-Oxidation Kinetics of Titanium Nitride Films. Origin of Enhanced Photoluminescence in Si-Covered POPS. Spin Split Cyclotron Resonance in GaAs Quantum Wells. The Effect of Intermixing on Tensile-Strained Barriers GaAs/GaAsP Quantum Well Structure. Section 2: Carbon Nanostructures. Carbon Nanotubes: Interactions, Manipulation Electrical Properties and Devices. Mono-Sized Carbon Nanotubes in AFI Crystal. Preparation and Properties of Processible Polyacetylene-Wrapped Carbon Nanotubes. Electronic Structure of the Endohedral Metallofullerence Lu@C82. Localized-Density-Matrix Methods, and its Application to Carbon Nanotubes. CuC60 Interaction and Nano-composite Structures. Section 3: Functional Nanostructured Materials. Microstructures Particles for Electomagnetorheological (EMR) Application. Energy Barrier in the Quantum Nanomagnet: Mn12. The Percolation Model - the Tribological Mechaanism of Nanoparticle Filled Polymer Composites. Tribological Properties of Self-Assembled Monolayers. Nanosized Rare Earth Activated Phosphors. Properties of Co/Al2O3/Co Tunnel Junction with Co Nanoparticles Embedded in AL2O3. Investigations of GaN Blue Laser Semiconductor. Section 4: Nanocomposites. Layer-by-Layer Assembly: A Way for Multicomposite Ultrathin Films. Sol-Gel Preparation and luminescence Properties of Nano-structured Hybrid Materials Incorporated with Europium Complexes. Preparation of Narrowly Distributed Novel Stable and Soluble Polyacetylene Nanoparticles. Liquid Crystalline Behaviour of Polystyrene/Clay Nanocomposite. Luminscent Properties of Nano-structured Monolith Containing Rare Earth Complexes. Alternating LB Film of Ferric Oxide Nanoparticles-Copper Phthalocyanine Derivative and Its Gas Sensitivity. Photoconductive TiOPc Nanoparticles Embedded in Polymer Prepared from LPDR. Dielectric Properties of Au/SiO2 Nanostructured Composite Material. Author Index. Subject Index.

Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.

Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, sypersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material.

Mathematics instruction is often more effective when presented in a physical context. Schramm uses this insight to help develop students' physical intuition as he guides them through the mathematical methods required to study upper-level physics. Based on the undergraduate Math Methods course he has taught for many years at Occidental College, the text encourages a symbiosis through which the physics illuminates the math, which in turn informs the physics. Appropriate for both classroom and self-study use, the text begins with a review of useful techniques to ensure students are comfortable with prerequisite material. It then moves on to cover vector fields, analytic functions, linear algebra, function spaces, and differential equations. Written in an informal and engaging style, it also includes short supplementary digressions ('By the Ways') as optional boxes showcasing directions in which the math or physics may be explored further. Extensive problems are included throughout, many taking advantage of Mathematica, to test and deepen comprehension.

This book offers the first comprehensive account of the new method of density matrix renormalization. Recent years have seen enormous progress in the numerical treatment of low-dimensional quantum sytems. With this new technique, which selects a reduced set of basis states via density matrices, it has become possible to treat large systems with amazing accuracy. The method has been applied successfully to a variety of important one-dimensional problems such as spin chains, Kondo models, and correlated electron systems. Extensions to other systems and higher dimensions are currently being developed. The contributions to this book are written by leading experts in the field. The two parts contain an introduction to the subject and a review of physical applications. As a combination of advanced textbook and guide to current research the book should become a standard source for everyone interested in the topic.

Contents:
Introduction. Space and Time, Quantum Theory, Matter, The Universe, Order and Disorder, Reflections, Timeline, Glossary, Further Reading, Index.

This proceedings volume is based on papers presented at the First Annual Workshop on Inverse Problems which was held in June 2011 at the Department of Mathematics, Chalmers University of Technology. The purpose of the workshop was to present new analytical developments and numerical methods for solutions of inverse problems. State-of-the-art and future challenges in solving inverse problems for a broad range of applications was also discussed. The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area.

Flying safely in aircraft implies the use of navigation instruments. Among them, the magnetic compass is still a first choice for orientation and it is compulsory in all aircraft. In our increasingly sophisticated but fragile world of global navigation systems and gyroscopic sensors, the compass is especially useful as a back-up: it has high reliability and is likely to survive in harsh electromagnetic aggressions or when all power supplies have failed. This book examines in detail how the science of geomagnetism is able to promote a correct use of the magnetic compass for navigation. A selected group of specialists met in Ohrid, Macedonia to expose their approaches to the question. Using techniques from Geology, Instrument science, Magnetism, Chaos theory and Potential Fields applied to the Balkan region and surroundings, they put together a roadmap to fully tackle the issue of measurement, analysis, mapping and forecasting of the magnetic declination in support of aeronautical safety.

* Greatly expanded coverage complex dynamics now in Chapter 2 * The third chapter is now devoted to higher dimensional dynamical systems. * Chapters 2 and 3 are independent of one another. * New exercises have been added throughout.

This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many areas in engineering, physics, biology and the social sciences. Accordingly, the book provides the scientific community with a topical overview of the latest research efforts.

The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can t be inferred on the basis of the first approximation alone.

The book is illustrated with a large number of concrete examples of systems in which the presence of a particular solution of a certain class is related to special properties of the system s dynamic behavior. It is a book for students and specialists who work with dynamical systems in the fields of mechanics, mathematics, and theoretical physics.

This book captures one teacher's journey through the first three years of teaching science and mathematics in a large urban district in the US. The authors focus on Ian's agency as a beginning teacher and explore his success in working with diverse students. Using critical ethnography combined with first-person narrative, they investigate Ian's teaching practices in four contexts: his student teaching experience, his work with students on a summer curriculum development project, his first year of teaching in a small, urban high school, and his second year of teaching in a large, comprehensive high school. In each field, the authors describe the structural changes Ian encounters and the ways in which he re-utilizes the practices he used successfully in previous fields. Specific practices that helped foster community and led to the increased agency of his students as learners are highlighted.

Despite successes of modern physics, the existence of dark energy and matter is indicative that conventional mechanical accounting is lacking. The most basic of all mechanical principles is Newton's second law, and conventionally, energy is just energy whether particle or wave energy. In this monograph, Louis de Broglie's idea of simultaneous existence of both particle and associated wave is developed, with a novel proposal to account for mass and energy through a combined particle-wave theory. Newton's second law of motion is replaced by a fully Lorentz invariant reformulation inclusive of both particles and waves. The model springs from continuum mechanics and forms a natural extension of special relativistic mechanics. It involves the notion of "force in the direction of time" and every particle has both particle and wave energies, arising as characteristics of space and time respectively. Dark matter and energy then emerge as special or privileged states occurring for alignments of spatial forces with the force in the direction of time. Dark matter is essentially a backward wave and dark energy a forward wave, both propagating at the speed of light. The model includes special relativistic mechanics and Schroedinger's quantum mechanics, and the major achievements of mechanics and quantum physics. Our ideas of particles and waves are not yet properly formulated, and are bound up with the speed of light as an extreme limit and particle-wave demarcation. Sub-luminal particles have an associated superluminal wave, so if sub-luminal waves have an associated superluminal particle, then there emerges the prospect for faster than light travel with all the implications for future humanity. Carefully structured over special relativity and quantum mechanics, Mathematics of Particle-Wave Mechanical Systems is not a completed story, but perhaps the first mechanical model within which such exalted notions might be realistically and soberly examined. If ultimately the distant universe become accessible, this will necessitate thinking differently about particles, waves and the role imposed by the speed of light. The text constitutes a single proposal in that direction and a depository for mathematically related results. It will appeal to researchers and students of mathematical physics, applied mathematics and engineering mechanics.

This book is the first to report on theoretical breakthroughs on control of complex dynamical systems developed by collaborative researchers in the two fields of dynamical systems theory and control theory. As well, its basic point of view is of three kinds of complexity: bifurcation phenomena subject to model uncertainty, complex behavior including periodic/quasi-periodic orbits as well as chaotic orbits, and network complexity emerging from dynamical interactions between subsystems. Analysis and Control of Complex Dynamical Systems offers a valuable resource for mathematicians, physicists, and biophysicists, as well as for researchers in nonlinear science and control engineering, allowing them to develop a better fundamental understanding of the analysis and control synthesis of such complex systems.