This book presents a unified study of dynamically coupled systems involving a rigid body and an ideal fluid flow from the perspective of Lagrangian and Hamiltonian mechanics. It compiles theoretical investigations on the topic of dynamically coupled systems using a framework grounded in Kirchhoff's equations. The text achieves a balance between geometric mechanics, or the modern theories of reduction of Lagrangian and Hamiltonian systems, and classical fluid mechanics, with a special focus on the applications of these principles. Following an introduction to Kirchhoff's equations of motion, the book discusses several extensions of Kirchhoff's work, particularly related to vortices. It addresses the equations of motions of these systems and their Lagrangian and Hamiltonian formulations. The book is suitable to mathematicians, physicists and engineers with a background in Lagrangian and Hamiltonian mechanics and theoretical fluid mechanics. It includes a brief introductory overview of geometric mechanics in the appendix.

This book explores in detail the role of laboratory work in physics teaching and learning. Compelling recent research work is presented on the value of experimentation in the learning process, with description of important research-based proposals on how to achieve improvements in both teaching and learning. The book comprises a rigorously chosen selection of papers from a conference organized by the International Research Group on Physics Teaching (GIREP), an organization that promotes enhancement of the quality of physics teaching and learning at all educational levels and in all contexts. The topics covered are wide ranging. Examples include the roles of open inquiry experiments and advanced lab experiments, the value of computer modeling in physics teaching, the use of web-based interactive video activities and smartphones in the lab, the effectiveness of low-cost experiments, and assessment for learning through experimentation. The presented research-based proposals will be of interest to all who seek to improve physics teaching and learning.

This book is devoted to recent developments concerning linear operators, covering topics such as the Cauchy problem, Riesz basis, frames, spectral theory and applications to the Gribov operator in Bargmann space. Also, integral and integro-differential equations as well as applications to problems in mathematical physics and mechanics are discussed. Contents Introduction Linear operators Basic notations and results Bases Semi-groups Discrete operator and denseness of the generalized eigenvectors Frames in Hilbert spaces Summability of series -convergence operators -hypercyclic set of linear operators Analytic operators in Bela Szoekefalvi-Nagy's sense Bases of the perturbed operator T( ) Frame of the perturbed operator T( ) Perturbation method for sound radiation by a vibrating plate in a light fluid Applications to mathematical models Reggeon field theory

The US has not had a rational energy policy for many years. Instead we created energy legislation focused on conservation and citing energy independence as the principle cause. Some legislation focused on protecting the environment primarily by creating moratoria over designated geographic areas. This effectively blocked drilling along the entire eastern and western offshore areas, areas on land and offshore northern Alaska, parts of the Gulf of Mexico and vast areas of federally owned land. As the country 's oil requirement grew so too did our need to import oil. Oil prices also grew and the daily value of imports have now reached about a billion dollars per day.
Today our country is in deep recession so we need to look at our energy needs with a different set of objectives. These include energy independence, security, economic impacts, environmental factors and, of course, elimination of the daily expenditure for foreign oil. We do so in this book as we explore the two most significant ways in which energy is consumed: transportation and generation and distribution of electric power. The approach sticks to technical issues and the costs, and financial factors because in our current economic environment money has to be given priority over political issues. Focusing on increasing domestic energy production and economic issues will improve and strengthen our country. Energy independence and security will follow. In the long run the environment will be clean. In our plan, we propose a set of policies that comply with the full scope of objectives. We solicit readers to contact political leaders to create and pass the necessary legislation.

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.

Discusses the latest results in academia and industry on green composites. Existing machinability problems like low processability and reduction of the ductility are addressed and discussed in relation to use of adhesion promoters, additives or chemical modification of the filler to overcome these problems. Recent industrial efforts to minimize the environmental impact, e.g. biodegradable polymer matrix, renewable sources complete the approach.

Volume 2 of the Handbook of Colloid and Interface Science is a survey into the theory of dispersions in a variety of fields, as well as characterization by rheology. It is an ideal reference work for research scientists, universities, and industry practitioners looking for a complete understanding of how colloids and interfaces behave in the areas of materials science, chemical engineering, and colloidal science.

A comprehensive biography of one of the most revolutionary scientists of all time Albert Einstein remains one of most famous scientists in world history. His image is instantly recognizable and for many people, Einstein personifies genius. But who was Einstein really? What was he like as a person? What did his science actually mean? This new biography of Albert Einstein provides a concise, accessible introduction to the life and science of this revolutionary man. Beneath his genius, Einstein was an ordinary person, with human frailties and weaknesses, but also with charm, modesty, a wry sense of humour, and idiosyncrasies. and career, including: His early education, during which he was an excellent student, contrary to common belief; Einstein's struggles to find an academic position, which led him to work as a clerk at the Swiss patent office during the same period he was formulating his most famous and revolutionary theories; His troubled marriages and family life; Einstein's rise to international fame, and his use of that fame to fight for world peace; Einstein's major contributions to physics, explained in an accessible way. The book includes a bibliography, and a timeline of important dates in Einstein's life. Part of the Greenwood Biographies series A portrait of the iconic scientist, on whose work modern physics is built The science is explained in a way that is accessible to the general reader Publication coincides with the 2005 World Year of Physics - the 100th anniversary of Einstein's Miraculous Year when he published his most revolutionary papers

Suitable for both concept- and context-led approaches, this Revision Guide is Edexcel's own resource for the 2008 Edexcel GCE Physics specification. Written by experienced examiners, it features guidance from the people who write and mark exam papers and draws on real exam data from Edexcel's ResultsPlus service. 'ResultsPlus' Examiner feedback draws on examiner expertise and real past exam data to help students avoid common pitfalls and build better answers. Exam-style questions - including the multiple-choice style - offer plenty of practice ahead of the exam. Worked examples provide step-by-step guidance on how totackle exam questions. Guidance on Practical Assessment helps students to write better AS visit/case study and practical reports. Thinking tasks, quick questions and checklistsenable students to track their own progress and revise more effectively.

Suitable for both concept- and context-led approaches, this Revision Guide is Edexcel's own resource for the 2008 Edexcel GCE Physics specification. Written by experienced examiners, it features guidance from the people who write and mark exam papers and draws on real exam data from Edexcel's ResultsPlus service. 'ResultsPlus' Examiner feedback draws on examiner expertise and real past exam data to help students avoid common pitfalls and build better answers. Exam-style questions - including the multiple-choice style - offer plenty of practice ahead of the exam. Worked examples provide step-by-step guidance on how totackle exam questions. Guidance on Practical Assessment helps students to write better AS visit/case study and practical reports. Thinking tasks, quick questions and checklistsenable students to track their own progress and revise more effectively.

This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students. The book lays emphasis on associating mathematical concepts with their physical counterparts, training students of engineering in mathematics to help them learn how things work. The book covers the concepts of number systems, algebra equations and calculus through discussions on mathematics and physics, discussing their intertwined history in a chronological order. The book includes examples, homework problems, and exercises. This book can be used to teach a first course in engineering mathematics or as a refresher on basic mathematical physics. Besides serving as core textbook, this book will also appeal to undergraduate students with cross-disciplinary interests as a supplementary text or reader.

Volume 1 of the Handbook of Colloid and Interface Science is a survey of the theory of colloids in a variety of fields, as well as theircharacterization by rheology. It is an ideal reference work for research scientists, universities, and industry practitioners looking for a complete understanding of how colloids and interfaces behave.

Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. Models naturally render to statistical description, where random processes and fields express the input parameters and solutions. The fundamental problem of stochastic dynamics is to identify the essential characteristics of the system (its state and evolution), and relate those to the input parameters of the system and initial data.

This book is a revised and more comprehensive version of "Dynamics of Stochastic Systems." Part I provides an introduction to the topic. Part II is devoted to the general theory of statistical analysis of dynamic systems with fluctuating parameters described by differential and integral equations. Part III deals with the analysis of specific physical problems associated with coherent phenomena.
A comprehensive update of "Dynamics of Stochastic Systems"Develops mathematical tools of stochastic analysis and applies them to a wide range of physical models of particles, fluids and wavesIncludes problems for the reader to solve

Das Buch rA1/4hrt an ein Tabu: An das SelbstverstAndnis von Naturwissenschaft und Technik. Man hAlt das Bild, das die Naturwissenschaft zeichnet, gerne fA1/4r die absolut richtige Sicht und merkt gar nicht, daA sie bloA eine verabsolutierte Sicht ist. Naturwissenschaft und Technik tragen in ihrem Inneren nAmlich eine verhAngnisvolle Eigenschaft. Eine Eigenschaft, die genau genommen gar nicht zum Wesen von Naturwissenschaft und Technik gehArt: Naturwissenschaft und Technik suggerieren die gefAhrliche Aoeberzeugung, daA der naturwissenschaftliche Weg, den wir heute sehen, der alleinig ernstzunehmende, das heiAt der einzig "richtige" Weg ist. Dieser Gedanke erweist sich deshalb als verhAngnisvoll, weil er zur Monokultur des Denkens fA1/4hrt.

The main purpose of this book is to provide a comprehensive treatment of the materials aspects of group-IV, III-V and II-VI semiconductor alloys used in various electronic and optoelectronic devices. The topics covered in this book include the structural, thermal, mechanical, lattice vibronic, electronic, optical and carrier transport properties of such semiconductor alloys. The book reviews not only commonly known alloys (SiGe, AlGaAs, GaInPAs, and ZnCdTe) but also new alloys, such as dilute-carbon alloys (CSiGe, CSiSn, etc.), III-N alloys, dilute-nitride alloys (GaNAs and GaInNAs) and Mg- or Be-based II-VI semiconductor alloys. Finally there is an extensive bibliography included for those who wish to find additional information as well as tabulated values and graphical information on the properties of semiconductor alloys.

Exam Board: Edexcel Level: A level Subject: Science / Physics First teaching: September 2015 First exams: June 2017 An ActiveBook is included with every Student Book, giving your students easy online access to the content in the Student Book. They can make it their own with notes, highlights and links to their wider reading. Perfect for supporting work and revision activities. Student Book 1 supports a standalone AS course and provides the first year of a two-year A level course; Student Books 1 and 2 together support the full A level course. A cumulative approach to learning constantly builds on what has previously been taught. The chapter openers highlight prior learning requirements and link to future learning. The required maths skills are highlighted at the start of each chapter providing opportunities for students to check understanding and remedy gaps. Bigger spreads require students to read real-life material that's relevant to the course and use knowledge in new contexts. Accompanying questions require students to analyse how scientists write, think critically and consider issues. Preparing for your exams sections highlight the key differences between preparing for an AS and full A level exam. Practice question spreads provide opportunities for students to regularly check their understanding using questions written in the style of the new exams from day one.

This is a handbook of Gamma-convergence, which is a theoretical tool used to study problems in Applied Mathematics where varying parameters are present, with many applications that range from Mechanics to Computer Vision. The book is directed to Applied Mathematicians in all fields and to Engineers with a theoretical background.

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

E=mc(2) is known as the most famous but least understood equation in physics. This two-volume textbook illuminates this equation and much more through clear and detailed explanations, new demonstrations, a more physical approach, and a deep analysis of the concepts and postulates of Relativity. The first part of Volume I contains the whole Special Relativity theory with rigorous and complete demonstrations. The second part presents the main principles of General Relativity, including detailed explanations of the bending of light in the neighborhood of great masses, the gravitational time dilatation, and the principles leading to the famous equation of General Relativity: D(g) = k .T. The most important cosmological predictions are then described: the Big Bang theory, black holes, and gravitational waves. Plentiful historical information is contained throughout the book, particularly in an ending chapter depicting the scientific and epistemological revolution brought about by the theory of Relativity. Volume II progresses into further depth than Volume I, and its scope is more extended than most introductory books on Relativity. It includes the affine connection, the geodesic equation, and an introduction to cosmological models. The mathematical tools dedicated to Relativity are carefully explained for those without an advanced mathematical background (tensors, Lagrangians, covariant derivative). Both volumes place an emphasis on the physical aspects of Relativity to aid the reader's understanding and contain numerous questions and problems (147 in total). Solutions are given in a highly detailed manner to provide the maximum benefit to students. This textbook fills a gap in the literature by drawing out the physical aspects and consequences of Relativity, which are otherwise often second place to the mathematical aspects. Its concrete focus on physics allows students to gain a full understanding of the underlying concepts and cornerstones of Relativity.

This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen's nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.