This book aims to make Galileo Galilei (1564-1642) accessible to the modern reader by refashioning the great scientist's masterpiece Discourses and Mathematical Demonstrations Relating to Two New Sciences in today's language. Galileo Galilei stands as one of the most important figures in history, not simply for his achievements in astronomy, physics, and engineering and for revolutionizing science and the scientific method in general, but also for the role that he played in the (still ongoing) drama concerning entrenched power and its desire to stifle any knowledge that may threaten it. Therefore, it is important that today's readers come to understand and appreciate what Galilei accomplished and wrote. But the mindset that shapes how we see the world today is quite different from the mindset -- and language -- of Galilei and his contemporaries. Another obstacle to a full understanding of Galilei's writings is posed by the countless historical, philosophical, geometrical, and linguistic references he made, along with his often florid prose, with its blend of Italian and Latin. De Angelis' new rendition of the work includes translations of the original geometrical figures into algebraic formulae in modern notation and allows the non-specialist reader to follow the thread of Galileo's thought and in a way that was barely possible until now.

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016. It includes papers on mathematical problems motivated by various applications in physics, engineering, economics, chemistry, and biology. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, providing a venue for them to present their latest findings and discuss their areas of expertise. Further, it was intended to introduce a vast and varied public, including young researchers, to the subject of interacting particle systems, its underlying motivation, and its relation to partial differential equations. The book appeals to probabilists, analysts and also to mathematicians in general whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to physicists working in the area of statistical mechanics and kinetic theory.

Were you looking for the book with access to MasteringPhysics? This product is the book alone and does NOT come with access to MasteringPhysics. Buy the book and access card package to save money on this resource. Walker's goal is to help students make the connection between a conceptual understanding of physics and the various skills necessary to solve quantitative problems. The pedagogy and approach are based on over 20 years of teaching and reflect the results of physics education research. Already one of the best-selling textbooks in algebra-based physics, The Fourth Edition strengthens both the conceptual foundations and the tools for problem solving to make the book even better suited to today's students.

This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books-both in level of exposition and layout-it incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.

The scattering data of the considered inverse scattering problems (ISPs) are described completely. Solving the associated IVP or IBVP for the nonlinear evolution equations (NLEEs) is carried out step by step. Namely, the NLEE can be written as the compatibility condition of two linear equations. The inverse scattering method (ISM) to solving the IVPs or IBVPs for NLEEs is consistent. It is effectively embedded in the schema of the ISM. Application of ISM to solving the NLEEs is effectively embedded in the scheme of the ISM.

The 1981Cargese Summer Institute on Fundamental Interactions was organized by the Universite Pierre et Marie Curie, Paris (M. LEVY and J.-L. BASDEVANT), CERN (M. JACOB), the Universite Catholique de Louvain (D. SPEISER and J. WEYERS), and the Katholieke Universiteit te Leuven (R. GASTMANS), which, like in 1975, 1977 and 1979, had joined their efforts and worked in common. It was the 22nd Summer Institute held at Cargese and the 6th one organized by the two institutes of theoretical physics at Leuven and Louvain-la-Neuve. This time, while the last school was dominated by the impres- sive advances which were made in the field of perturbative quantum chromodynamics and its applications to high energy phenomena invol- ving strongly interacting particles, the 1981 school clearly reflected a period of transition, where the new insights gained by experiment and theory are digested and put in order. Place of pride among the experiments belonged this time to DESY. On the theore- tical side the reader will find a more thorough interpretation and understanding of the experiments as well as approaches to new theories. Finally several talks were devoted to experiments of the future. We owe many thanks to all those who have made this Summer Institute possible! Thanks are due to the Scientific Committee of NATO and its President for a generous grant and especially to the head of the Advanced Study Institute Program, Dr. R. Chabbal and his collabora- tors for their constant help and encouragements.

This edited volume features essays written in honor of Ernst Mach. It explores his life, work, and legacy. Readers will gain a better understanding of this natural scientist and scholar who made major contributions to physics, the philosophy of science, and physiological psychology. The essays offer a critical inventory of Mach's lifework in line with state-of-the-art research and historiography. It begins with physics, where he paved the way for Einstein's Theory of Relativity. The account continues with Mach's contributions in biology, psychology, and physiology pioneering with an empiricist and gestalthaft Analysis of Sensations. Readers will also discover how in the philosophy of science he served as a model for the Vienna Circle with the Ernst Mach Society as well as paved the way for an integrated history and theory of science. Indeed, his influence extends far beyond the natural sciences -- to the Vienna Medical School and psychoanalysis (R. Barany, J. Breuer, S. Freud), to literature (Jung Wien, R. Musil), to politics (F. Adler, Austro-Marxism and the Viennese adult education), to arts between Futurism and Minimal Art as well as to social sciences between the liberal school (J. Schumpeter, F. A. von Hayek) and empirical social research (P. Lazarsfeld und M. Jahoda).

Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume - compiled on the occasion of his 60th birthday - are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed. Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.

This volume is devoted to Quantum Decoherence with lectures from the Seminaire Poincare, held in November 2005 at the Institute Henri Poincare Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental results are covered, with some historical background. Particular care is devoted to the pedagogical nature of the presentation.

Few scientific communities have been more thoroughly studied than 20th-century German physicists. Yet their behaviour and patterns of thinking immediately after the war remains puzzling. During the first five post war years they suspended their internecine battles and a strange solidarity emerged. Former enemies were suddenly willing to exonerate each other blindly and even morally upright physicists began to write tirades against the 'denazification mischief' or the 'export of scientists'. Personal idiosyncrasies melded into a strangely uniform pattern of rejection or resistance to the Allied occupiers, with attendant repressed feelings and self-pity. Politics was once again perceived as remote, dirty business. It was feared that the least concession of guilt would bring down even more severe sanctions on their discipline. Using tools from the history of mentality, such as analysis of serial publications, these tendencies are examined. The perspective of emigre physicists, as reflected in their private letters and reports, embellish this portrait.

This concise book for chemists, material scientists, and physicists who deal with description of crystalline matter and the determination of its structure, and would like to gain more understanding of the principles involved. The main purpose of the book is to introduce the reader to principles of crystallographic symmetry, to discuss some traditional, as well as modern, experimental techniques, to formulate the phase problem of crystallographic symmetry, to discus some traditional, as well as modern, experimental techniques, to formulate the phase problem of crystallography, and present in some detail the methods for its indirect and direct solution which are indispensable for further work. The book also contains discussions of structure-factor statistics, or value for resolving space-group ambiguities, and atomic displacement parameters, which form an inseparable part of the structure. A discussion of the refinement of structural parameters, conventional, constrained and restrained, concludes the book. Derivations are as far as possible, self contained and wherever mathematical detail might disrupt the line of reasoning the reader is referred to on of four appendices present in the book. The book is of course valuable for students of crystallography at a graduate and upper undergraduate level. No previous course on crystallography is a prerequisite for graduates in the above fields.

This textbook provides an introduction to representations of general -algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers. The book covers both the general theory of unbounded representation theory on Hilbert space as well as representations of important special classes of -algebra, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated in book form for the first time, including group graded -algebras, the transition probability of states, Archimedean quadratic modules, noncommutative Positivstellensatze, induced representations, well-behaved representations and representations on rigged modules. Making advanced material accessible to graduate students, this book will appeal to students and researchers interested in advanced functional analysis and mathematical physics, and with many exercises it can be used for courses on the representation theory of Lie groups and its application to quantum physics. A rich selection of material and bibliographic notes also make it a valuable reference.

A variety of different social, natural and technological systems can be described by the same mathematical framework. This holds from Internet to the Food Webs and to the connections between different company boards given by common directors. In all these situations a graph of the elements and their connections displays a universal feature of some few elements with many connections and many with few. This book reports the experimental evidence of these Scale-free networks'' and provides to students and researchers a corpus of theoretical results and algorithms to analyse and understand these features. The contents of this book and their exposition makes it a clear textbook for the beginners and a reference book for the experts.

This book was designed as a textbook for students who need to fill their science requirement. The Quantum Revolution discusses how quantum theory overthrew the objective, materialist and determinist worldviews of classical physics. The text emphasizes how quantum physics may reestablish consciousness as a causal agent in science by delving into quantum non-locality and its implications to society.

Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.

This book is a liber amicorum to Professor Sergei Konstantinovich Godunov and gathers contributions by renowned scientists in honor of his 90th birthday. The contributions address those fields that Professor Godunov is most famous for: differential and difference equations, partial differential equations, equations of mathematical physics, mathematical modeling, difference schemes, advanced computational methods for hyperbolic equations, computational methods for linear algebra, and mathematical problems in continuum mechanics.

This book provides a comprehensive analysis of time-fixed terminal rendezvous around the Earth using chemical propulsion. The book has two main objectives. The first is to derive the mathematics of relative motion in near-circular orbit when subjected to perturbations emanating from the oblateness of the Earth, third-body gravity, and atmospheric drag. The mathematics are suitable for quick trajectory prediction and the creation of computer codes and efficient software to solve impulsive maneuvers and fly rendezvous missions. The second objective of this book is to show how the relative motion theory is applied to the exact precision-integrated, long-duration, time-fixed terminal rendezvous problem around the oblate Earth for the general elliptic orbit case. The contents are both theoretical and applied, with long-lasting value for aerospace engineers, trajectory designers, professors of orbital mechanics, and students at the graduate level and above.

This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du: cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions

This book highlights the theory and practical applications of the chemical master equation (CME) approach for very large biochemical networks, which provides a powerful general framework for model building in a variety of biological networks. The aim of the book is to not only highlight advanced numerical solution methods for the CME, but also reveal their potential by means of practical examples. The case studies presented are mainly from biology; however, the applications from novel methods are discussed comprehensively, underlining the interdisciplinary approach in simulation and the potential of the chemical master equation approach for modelling bionetworks. The book is a valuable guide for researchers, graduate students, and professionals alike.

During the past decade, technology has become more pervasive, encroaching more and more on our lives. Computers, cell phones, and the internet have an enormous influence not only on how we function at work, but also on how we communicate and interact outside the office. Researchers have been documenting the effect that these types of technology have on individuals, families, and other social groups. Their work addresses questions that relate to how people use computers, cell phones, and the internet, how they integrate their use of new technology into daily routines, and how family function, social relationships, education, and socialization are changing as a result. This research is being conducted in a number of countries, by scientists from a variety of disciplines, who publish in very different places. The result is that it is difficult for researchers and students to get a current and coherent view of the research literature. This book brings together the leading researchers currently investigating the impact of information and communication technology outside of the workplace. Its goal is to develop a consolidated view of what we collectively know in this fast-changing area, to evaluate approaches to data collection and analysis, and to identify future directions for research. The book will appeal to professionals and students in social psychology, human-technology interaction, sociology, and communication.