This book demonstrates some of the ways in which Microsoft Excel (R) may be used to solve numerical problems in the field of physics.

This slim yet dense volume remains an excellent introduction to Newtonian physics, just as when it was first published in 1877. Beginning with the basics of physical science and working his way steadily up to universal gravitation, Maxwell surveys late-19th-century physics in his clear and concise style. Matter and Motion addresses: . motion . force . the properties of the center of mass of a material system . work and energy . recapitulation . the pendulum and gravity . the equations of motion of a connected system Readers from the science historian to the high school physics student will come away from Matter and Motion with a deeper understanding of the roots of modern physics. Scottish physicist and mathematician JAMES CLERK MAXWELL (1831-1879) is considered by many to be one of the giants of theoretical physics. Albert Einstein once described Maxwell's work as "the most profound and the most fruitful that physics has experienced since the time of Newton." A devoutly religious man and a published poet as well as a renowned scientist, Maxwell's books include Theory of Heat (1870), Treatise on Electricity and Magnetism (1873), and Elementary Treatise on Electricity (1881).

This book aims to bring together researchers and practitioners working across domains and research disciplines to measure, model, and visualize complex networks. It collects the works presented at the 9th International Conference on Complex Networks (CompleNet) in Boston, MA, March, 2018. With roots in physical, information and social science, the study of complex networks provides a formal set of mathematical methods, computational tools and theories to describe, prescribe and predict dynamics and behaviors of complex systems. Despite their diversity, whether the systems are made up of physical, technological, informational, or social networks, they share many common organizing principles and thus can be studied with similar approaches. This book provides a view of the state-of-the-art in this dynamic field and covers topics such as group decision-making, brain and cellular connectivity, network controllability and resiliency, online activism, recommendation systems, and cyber security.

This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.

This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann maps and can often prove the global uniqueness and Lipschitz stability even with a single measurement. These types of inverse problems include coefficient inverse problems of determining physical parameters in inhomogeneous media that appear in many applications related to electromagnetism, elasticity, and related phenomena. Although the methodology was created in 1981 by Bukhgeim and Klibanov, its comprehensive development has been accomplished only recently. In spite of the wide applicability of the method, there are few monographs focusing on combined accounts of Carleman estimates and applications to inverse problems. The aim in this book is to fill that gap. The basic tool is Carleman estimates, the theory of which has been established within a very general framework, so that the method using Carleman estimates for inverse problems is misunderstood as being very difficult. The main purpose of the book is to provide an accessible approach to the methodology. To accomplish that goal, the authors include a direct derivation of Carleman estimates, the derivation being based essentially on elementary calculus working flexibly for various equations. Because the inverse problem depends heavily on respective equations, too general and abstract an approach may not be balanced. Thus a direct and concrete means was chosen not only because it is friendly to readers but also is much more relevant. By practical necessity, there is surely a wide range of inverse problems and the method delineated here can solve them. The intention is for readers to learn that method and then apply it to solving new inverse problems.

This book collects recent advances in the field of nonlinear dynamics in biological systems. Focusing on medical applications as well as more fundamental questions in biochemistry, it presents recent findings in areas such as control in chemically driven reaction-diffusion systems, electrical wave propagation through heart tissue, neural network growth, chiral symmetry breaking in polymers and mechanochemical pattern formation in the cytoplasm, particularly in the context of cardiac cells. It is a compilation of works, including contributions from international scientists who attended the "2nd BCAM Workshop on Nonlinear Dynamics in Biological Systems," held at the Basque Center for Applied Mathematics, Bilbao in September 2016. Embracing diverse disciplines and using multidisciplinary approaches - including theoretical concepts, simulations and experiments - these contributions highlight the nonlinear nature of biological systems in order to be able to reproduce their complex behavior. Edited by the conference organizers and featuring results that represent recent findings and not necessarily those presented at the conference, the book appeals to applied mathematicians, biophysicists and computational biologists.

Randall Munroe is . . .'Nerd royalty' Ben Goldacre 'Totally brilliant' Tim Harford 'Laugh-out-loud funny' Bill Gates 'Wonderful' Neil Gaiman AN INSTANT #1 NEW YORK TIMES BESTSELLER The world's most entertaining and useless self-help guide, from the brilliant mind behind the wildly popular webcomic xkcd and the million-selling What If? and Thing Explainer For any task you might want to do, there's a right way, a wrong way, and a way so monumentally bad that no one would ever try it. How To is a guide to the third kind of approach. It's full of highly impractical advice for everything from landing a plane to digging a hole. 'How strange science can fix everyday problems' New Scientist 'A brilliant book: clamber in for a wild ride' Nature

This book provides an interdisciplinary approach to complexity, combining ideas from areas like complex networks, cellular automata, multi-agent systems, self-organization and game theory. The first part of the book provides an extensive introduction to these areas, while the second explores a range of research scenarios. Lastly, the book presents CellNet, a software framework that offers a hands-on approach to the scenarios described throughout the book. In light of the introductory chapters, the research chapters, and the CellNet simulating framework, this book can be used to teach undergraduate and master's students in disciplines like artificial intelligence, computer science, applied mathematics, economics and engineering. Moreover, the book will be particularly interesting for Ph.D. and postdoctoral researchers seeking a general perspective on how to design and create their own models.

Ruth Glasner presents an illuminating reappraisal of Averroes' physics. Glasner is the first scholar to base her interpretation on the full range of Averroes' writings, including texts that are extant only in Hebrew manuscripts and have not been hitherto studied. She reveals that Averroes changed his interpretation of the basic notions of physics - the structure of corporeal reality and the definition of motion - more than once. After many hesitations he offers a bold new interpretation of physics which Glasner calls 'Aristotelian atomism'. Ideas that are usually ascribed to scholastic scholars, and others that were traced back to Averroes but only in a very general form, are shown not only to have originated with him, but to have been fully developed by him into a comprehensive and systematic physical system. Unlike earlier Greek or Muslim atomistic systems, Averroes' Aristotelian atomism endeavours to be fully scientific, by Aristotelian standards, and still to provide a basis for an indeterministic natural philosophy. Commonly known as 'the commentator' and usually considered to be a faithful follower of Aristotle, Averroes is revealed in his commentaries on the Physics to be an original and sophisticated philosopher.

Today, air-to-surface vessel (ASV) radars, or more generally airborne maritime surveillance radars, are installed on maritime reconnaissance aircraft for long-range detection, tracking and classification of surface ships (ASuW-anti-surface warfare) and for hunting submarines (ASW-anti-submarine warfare). Such radars were first developed in the UK during WWII as part of the response to the threat to shipping from German U-boats. This book describes the ASV radars developed in the UK and used by RAF Coastal Command during WWII for long-range maritime surveillance.

Containing an extensive illustration of the use of finite difference method in solving boundary value problem numerically, a wide class of differential equations have been numerically solved in this book.

This book provides a comprehensive review of complex networks from three different domains, presents novel methods for analyzing them, and highlights applications with accompanying case studies. Special emphasis is placed on three specific kinds of complex networks of high technological and scientific importance: software networks extracted from the source code of computer programs, ontology networks describing semantic web ontologies, and co-authorship networks reflecting collaboration in science. The book is primarily intended for researchers, teachers and students interested in complex networks and network data analysis. However, it will also be valuable for researchers dealing with software engineering, ontology engineering and scientometrics, as it demonstrates how complex network analysis can be used to address important research issues in these three disciplines.

This book features a selection of articles based on the XXXV Bialowieza Workshop on Geometric Methods in Physics, 2016. The series of Bialowieza workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, and with applications to classical and quantum physics. In 2016 the special session "Integrability and Geometry" in particular attracted pioneers and leading specialists in the field. Traditionally, the Bialowieza Workshop is followed by a School on Geometry and Physics, for advanced graduate students and early-career researchers, and the book also includes extended abstracts of the lecture series.

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.

This book presents simple interdisciplinary stochastic models meant as a gentle introduction to the field of non-equilibrium statistical physics. It focuses on the analysis of two-state models with cooperative effects and explores a variety of mathematical techniques to solve the master equations that govern these models. The models discussed are at the confluence of nanophysics, biology, mathematics and the social science, and they provide a pedagogical path toward understanding the complex dynamics of particle self-assembly with the tools of statistical physics.

Physics and Literature is a unique collaboration between physicists, literary scholars, and philosophers, the first collection of essays to examine together how science and literature, beneath their practical differences, share core dimensions - forms of questioning, thinking, discovering and communicating insights.This book advances an in-depth exploration of relations between physics and literature from both perspectives. It turns around the tendency to discuss relations between literature and science in one-sided and polarizing ways. The collection is the result of the inaugural conference of ELINAS, the Erlangen Center for Literature and Natural Science, an initiative dedicated to building bridges between literary and scientific research. ELINAS revitalizes discussion of science-literature interconnections with new topics, ideas and angles, by organizing genuine dialogue among participants across disciplinary lines. The essays explore how scientific thought and practices are conditioned by narrative and genre, fiction, models and metaphors, and how science in turn feeds into the meaning-making of literary and philosophical texts. These interdisciplinary encounters enrich reflections on epistemology, cognition and aesthetics.