Methods

Whenever you get dressed, carry objects, write, draw, or gesture, you express knowledge about how to get things done with your hands. Ironically, that knowledge is often difficult to express. Typically you can't say what you know. Still, it would be enormously useful to identify the knowledge underlying manual control. The design of equipment and transportation systems might better anticipate the abilities and limitations of users, and methods of teaching and rehabilitating skills might improve. This book, the first on the cognitive psychology of manual control, uncovers the hidden knowledge that hands express. Organized around key topics in this emerging area, including the role of the will in manual control, illusions concerning hand position sense, and the coordination of manual actions with others, Knowing Hands explains the planning and control of manual actions in everyday life.

Applied Social Psychology combines the science of social psychology with the practical application of solving social problems that exist in the real world. This exciting textbook provides a thorough explanation of how social psychologists can contribute to the understanding and management of different social problems. A highly prestigious team of contributors from across Europe and the United States illustrate how social psychological theories, research methods and intervention techniques can be successfully applied to problems encountered in the fields of physical and mental health, immigration and integration, economic behaviour, political behaviour, environmental behaviour, organisations and the classroom. This expanded edition also features new chapters on the dynamic fields of consumer behaviour, traffic behaviour, criminal behaviour, sport and development aid. Each field studied features an overview of important problems, the role of human behaviour in these problems, the factors

Applied Social Psychology combines the science of social psychology with the practical application of solving social problems that exist in the real world. This exciting textbook provides a thorough explanation of how social psychologists can contribute to the understanding and management of different social problems. A highly prestigious team of contributors from across Europe and the United States illustrate how social psychological theories, research methods and intervention techniques can be successfully applied to problems encountered in the fields of physical and mental health, immigration and integration, economic behaviour, political behaviour, environmental behaviour, organisations and the classroom. This expanded edition also features new chapters on the dynamic fields of consumer behaviour, traffic behaviour, criminal behaviour, sport and development aid. Each field studied features an overview of important problems, the role of human behaviour in these problems, the factors

Relativistic kinetic theory has widespread application in astrophysics and cosmology. The interest has grown in recent years as experimentalists are now able to make reliable measurements on physical systems where relativistic effects are no longer negligible. This ambitious monograph is divided into three parts. It presents the basic ideas and concepts of this theory, equations and methods, including derivation of kinetic equations from the relativistic BBGKY hierarchy and discussion of the relation between kinetic and hydrodynamic levels of description. The second part introduces elements of computational physics with special emphasis on numerical integration of Boltzmann equations and related approaches, as well as multi-component hydrodynamics. The third part presents an overview of applications ranging from covariant theory of plasma response, thermalization of relativistic plasma, comptonization in static and moving media to kinetics of self-gravitating systems, cosmological stru

Approximately ten percent of the world population are affected by kidney diseases, which often can only be diagnosed by renal biopsy. This practical guide offers an algorithmic, deductive approach to the interpretation of this complicated procedure, covering all technical methods used for diagnosis. This new edition includes an authoritative chapter on digital renal pathology, a topic inadequately covered in current literature. All chapters have been extensively revised in light of major advances in the understanding of the pathogenesis and clinicopathological features of renal disease. Written for practising pathologists and nephrologists, this text encompasses the entire spectrum of medical renal diseases in both pediatric and adult populations. Its numerous diagnostic algorithms provide a convenient overview and a helpful guide into the detailed text, directing the reader to major patterns of interest. Including online access to over 1000 photomicrographs and diagrams, this book is

This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this theory is intrinsically advanced, the author's elementary approach makes it accessible at the undergraduate level. Beginning with thorough accounts of inner product spaces and Hilbert spaces, the book then shifts its focus to wavelets specifically, starting with the Haar wavelet, broadening to wavelets in general, and culminating in the construction of the Daubechies wavelets. All of this is done using only elementary methods, bypassing the use of the Fourier integral transform. Arguments using the Fourier transform are introduced in the final chapter, and this less elementary approach is used to outline a second and quite different construction of the Daubechies wavelets. The main text of the book is supplemented by more than 200 exercises ranging in difficulty and complexity.

It is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for

Tailored specifically for undergraduate students, this Companion offers uniquely comprehensive coverage of the topics necessary for successful communication in psychology, making it a valuable resource for research methods and introductory psychology courses. Readers will learn how to effectively plan and write papers in accordance with the latest style guidelines from the Publication Manual of the American Psychological Association, Sixth Edition; present data in posters and talks; and evaluate their own and others' work. The clear writing style and reader-friendly format, meanwhile, allow students to absorb information easily, even when reading chapters selectively or out of order. The book includes numerous up-to-date examples drawn from career experiences to engage students and help them apply what they've learned to forward their own careers, while questions encourage them to think more deeply about larger issues in the field, preparing them for future research.

Tailored specifically for undergraduate students, this Companion offers uniquely comprehensive coverage of the topics necessary for successful communication in psychology, making it a valuable resource for research methods and introductory psychology courses. Readers will learn how to effectively plan and write papers in accordance with the latest style guidelines from the Publication Manual of the American Psychological Association, Sixth Edition; present data in posters and talks; and evaluate their own and others' work. The clear writing style and reader-friendly format, meanwhile, allow students to absorb information easily, even when reading chapters selectively or out of order. The book includes numerous up-to-date examples drawn from career experiences to engage students and help them apply what they've learned to forward their own careers, while questions encourage them to think more deeply about larger issues in the field, preparing them for future research.

Over the course of the twentieth century, campaigns to increase access to modern birth control methods spread across the globe and fundamentally altered the way people thought about and mobilized around reproduction. This book explores how a variety of actors translated this movement into practice on four islands (Jamaica, Trinidad, Barbados, and Bermuda) from the 1930s–70s. The process of decolonization during this period led to heightened clashes over imperial and national policy and brought local class, race, and gender tensions to the surface, making debates over reproductive practices particularly evocative and illustrative of broader debates in the history of decolonization and international family planning. Birth Control in the Decolonizing Caribbean is at once a political history, a history of activism, and a social history, exploring the challenges faced by working class women as they tried to negotiate control over their reproductive lives.

The constantly increasing demand for more computing power can seem impossible to keep up with. However, multicore processors capable of performing computations in parallel allow computers to tackle ever larger problems in a wide variety of applications. This book provides a comprehensive introduction to parallel computing, discussing theoretical issues such as the fundamentals of concurrent processes, models of parallel and distributed computing, and metrics for evaluating and comparing parallel algorithms, as well as practical issues, including methods of designing and implementing shared- and distributed-memory programs, and standards for parallel program implementation, in particular MPI and OpenMP interfaces. Each chapter presents the basics in one place followed by advanced topics, allowing novices and experienced practitioners to quickly find what they need. A glossary and more than 80 exercises with selected solutions aid comprehension. The book is recommended as a text for adva

With over half of the world's population now living in urban areas, the ability to model and understand the structure and dynamics of cities is becoming increasingly valuable. Combining new data with tools and concepts from statistical physics and urban economics, this book presents a modern and interdisciplinary perspective on cities and urban systems. Both empirical observations and theoretical approaches are critically reviewed, with particular emphasis placed on derivations of classical models and results, along with analysis of their limits and validity. Key aspects of cities are thoroughly analyzed, including mobility patterns, the impact of multimodality, the coupling between different transportation modes, the evolution of infrastructure networks, spatial and social organisation, and interactions between cities. Drawing upon knowledge and methods from areas of mathematics, physics, economics and geography, the resulting quantitative description of cities will be of interest to

Every day, men and women risk their lives to stop violence in religiously charged conflicts around the world. You may not know their names - but you should. Peacemakers in Action, Volume 2 provides a window into the triumphs, risks, failures, and lessons learned of eight remarkable, religiously motivated peacemakers including: • A Methodist bishop in the Democratic Republic of the Congo who confronts armed warlords on his front lawn • A Christian who travels to Syria to coordinate medical aid and rebuild postwar communities • A Muslim woman, not knowing how Kabul's imams will react, arrives to train them on how to treat women – respectfully. Volume 2 offers students of religious and grassroots peacebuilding informative techniques and methods for organizing community action, establishing trust in conflict, and instilling hope amid turmoil. The book also features updates of case studies presented in Volume 1.

Infinitary logic, the logic of languages with infinitely long conjunctions, plays an important role in model theory, recursion theory and descriptive set theory. This book is the first modern introduction to the subject in forty years, and will bring students and researchers in all areas of mathematical logic up to the threshold of modern research. The classical topics of back-and-forth systems, model existence techniques, indiscernibles and end extensions are covered before more modern topics are surveyed. Zilber's categoricity theorem for quasiminimal excellent classes is proved and an application is given to covers of multiplicative groups. Infinitary methods are also used to study uncountable models of counterexamples to Vaught's conjecture, and effective aspects of infinitary model theory are reviewed, including an introduction to Montalbán's recent work on spectra of Vaught counterexamples. Self-contained introductions to effective descriptive set theory and hyperarithmetic theor

A novel and robust framework for the operational and legal analysis of recovering fugitives abroad, Bringing International Fugitives to Justice addresses how states, working alone, in cooperation, or with third-party intervention, strive to secure the custody of fugitives in order to bring them to justice - for prosecution or punishment purposes - while evaluating the lawfulness of those pursuit efforts. The book introduces redefined terms and new concepts to add precision to the discourse; sets forth comprehensive typologies, including of extradition arrangements and impediments; and provides a mapping to account for the full range of means and methods - extradition, collateral and remedial approaches to extradition, and full-scale and fallback alternatives to extradition -by which international fugitives can be retrieved. The study considers the judicial, diplomatic, and policy consequences of reliance on the more aggressive or controversial alternatives, proffering recommendations t

Every day, men and women risk their lives to stop violence in religiously charged conflicts around the world. You may not know their names - but you should. Peacemakers in Action, Volume 2 provides a window into the triumphs, risks, failures, and lessons learned of eight remarkable, religiously motivated peacemakers including: • A Methodist bishop in the Democratic Republic of the Congo who confronts armed warlords on his front lawn • A Christian who travels to Syria to coordinate medical aid and rebuild postwar communities • A Muslim woman, not knowing how Kabul's imams will react, arrives to train them on how to treat women – respectfully. Volume 2 offers students of religious and grassroots peacebuilding informative techniques and methods for organizing community action, establishing trust in conflict, and instilling hope amid turmoil. The book also features updates of case studies presented in Volume 1.

Combustion is a fascinating phenomenon coupling complex chemistry to transport mechanisms and nonlinear fluid dynamics. This book provides an up-to-date and comprehensive presentation of the nonlinear dynamics of combustion waves and other non-equilibrium energetic systems. The major advances in this field have resulted from analytical studies of simplified models performed in close relation with carefully controlled laboratory experiments. The key to understanding the complex phenomena is a systematic reduction of the complexity of the basic equations. Focusing on this fundamental approach, the book is split into three parts. Part I provides physical insights for physics-oriented readers, Part II presents detailed technical analysis using perturbation methods for theoreticians, and Part III recalls the necessary background knowledge in physics, chemistry and fluid dynamics. This structure makes the content accessible to newcomers to the physics of unstable fronts in flows, whilst also

Shakespeare's First Folio, published in 1623, is one of the world's most studied books, prompting speculation about everything from proof-reading practices in the early modern publishing industry to the 'true' authorship of Shakespeare's plays. Arguments about the nature of the First Folio are crucial to every modern edition of Shakespeare and thus to every reader or student of the plays. This Companion surveys the critical methods brought to bear on the Folio and equips readers with the tools to understand it and to develop their skills in early modern book culture more generally. A team of international scholars surveys the range of bibliographic, historical and textual material relating to the Folio, its editors, collectors and critical reception. This revealing volume will be of wide interest to scholars of Shakespeare, the history of the book and early modern drama.

Shakespeare's First Folio, published in 1623, is one of the world's most studied books, prompting speculation about everything from proof-reading practices in the early modern publishing industry to the 'true' authorship of Shakespeare's plays. Arguments about the nature of the First Folio are crucial to every modern edition of Shakespeare and thus to every reader or student of the plays. This Companion surveys the critical methods brought to bear on the Folio and equips readers with the tools to understand it and to develop their skills in early modern book culture more generally. A team of international scholars surveys the range of bibliographic, historical and textual material relating to the Folio, its editors, collectors and critical reception. This revealing volume will be of wide interest to scholars of Shakespeare, the history of the book and early modern drama.

Since the Frontex Border Agency's establishment in 2004, its activities have foregrounded the complexity and difficulty of protecting the human rights of those seeking access to the European Union. In this connection, protection from refoulement should be paramount in the Agency's work. By navigating through the intricacies of Frontex's structure and working methods, this book answers abiding questions: which circumstances would trigger European Union responsibility if violations were to occur in Frontex's joint operations? What is the legal standing of the principle of non-refoulement in relation to Frontex's activities? Can Frontex be entrusted with an exclusive search and rescue mandate? This book offers a theoretical and practical insight into the legislative intricacies of Frontex's work, examining the responsibility of the EU, and scrutinising the interaction of international law and EU law with a focus on the principle of non-refoulement.

The subject of magnetostatics - the mathematical theory that describes the forces and fields resulting from the steady flow of electrical currents - has a long history. By capturing the basic concepts, and building towards the computation of magnetic fields, this book is a self-contained discussion of the major subjects in magnetostatics. Overviews of Maxwell's equations, the Poisson equation, and boundary value problems pave the way for dealing with fields from transverse, axial and periodic magnetic arrangements and assemblies of permanent magnets. Examples from accelerator and beam physics give up-to-date context to the theory. Furthermore, both complex contour integration and numerical techniques (including finite difference, finite element, and integral equation methods) for calculating magnetic fields are discussed in detail with plentiful examples. Both theoretical and practical information on carefully selected topics make this a one-stop reference for magnet designers, as well

Designed for introductory undergraduate courses in fluid mechanics for chemical engineers, this stand-alone textbook illustrates the fundamental concepts and analytical strategies in a rigorous and systematic, yet mathematically accessible manner. Using both traditional and novel applications, it examines key topics such as viscous stresses, surface tension, and the microscopic analysis of incompressible flows which enables students to understand what is important physically in a novel situation and how to use such insights in modeling. The many modern worked examples and end-of-chapter problems provide calculation practice, build confidence in analyzing physical systems, and help develop engineering judgment. The book also features a self-contained summary of the mathematics needed to understand vectors and tensors, and explains solution methods for partial differential equations. Including a full solutions manual for instructors available at www.cambridge.org/deen, this balanced text

Italian performance in the First World War has been generally disparaged or ignored compared to that of the armies on the Western Front, and troop morale in particular has been seen as a major weakness of the Italian army. In this first book-length study of Italian morale in any language, Vanda Wilcox reassesses Italian policy and performance from the perspective both of the army as an institution and of the ordinary soldiers who found themselves fighting a brutally hard war. Wilcox analyses and contextualises Italy's notoriously hard military discipline along with leadership, training methods and logistics before considering the reactions of the troops and tracing the interactions between institutions and individuals. Restoring historical agency to soldiers often considered passive and indifferent, Wilcox illustrates how and why Italians complied, endured or resisted the army's demands through balancing their civilian and military identities.

Kung Fu has evolved from a traditional means of defence to become a system of attacking and defending oneself, with or without weapons, exercising the body and maintaining good physical and mental health. As such, these practices have found an international following. Yet what has remained a largely unexplored area is the scientific principles behind these martial arts. This book not only covers the brief history of Chinese martial arts, but also brings together the wisdom of a Kung Fu grand master with a scientist and teacher to explain the scientific reasons why Kung Fu is the powerful practice that it is. Using the principles of physics, biomechanics and biology, with a number of drawings showing some basic postures of Kung Fu, the authors present a deep understanding of how the styles, the specific movements and methods of attack and defence operate.

This text develops a comprehensive theory of programming languages based on type systems and structural operational semantics. Language concepts are precisely defined by their static and dynamic semantics, presenting the essential tools both intuitively and rigorously while relying on only elementary mathematics. These tools are used to analyze and prove properties of languages and provide the framework for combining and comparing language features. The broad range of concepts includes fundamental data types such as sums and products, polymorphic and abstract types, dynamic typing, dynamic dispatch, subtyping and refinement types, symbols and dynamic classification, parallelism and cost semantics, and concurrency and distribution. The methods are directly applicable to language implementation, to the development of logics for reasoning about programs, and to the formal verification language properties such as type safety. This thoroughly revised second edition includes exercises at the

Statistical designs, sample surveys and evaluation designs are fundamental tools for solving queries related to population parameters and the effects of public programs and policies. This book explores the concepts of effective sampling and evaluation techniques in a cohesive and concise manner. Sampling design techniques, including simple random sampling, stratified sampling, systematic sampling and cluster sampling, are presented in detail. These techniques play a vital role when choosing an appropriate sample survey design. The concepts of multistage design, non-sampling errors and evaluation techniques including before-after design, one-time treatment and control design are discussed extensively. The book focuses on different methods of estimation, including multiple regression analysis and logistic regression. It covers the issue of bias in a design, the source of such bias and ways to overcome it. Clear guidelines with remedial measures are outlined to facilitate choosing a suita

Giants, cannibals and other monsters were a regular feature of Renaissance illustrated maps, inhabiting the Americas alongside other indigenous peoples. In a new approach to views of distant peoples, Surekha Davies analyzes this archive alongside prints, costume books and geographical writing. Using sources from Iberia, France, the German lands, the Low Countries, Italy and England, Davies argues that mapmakers and viewers saw these maps as careful syntheses that enabled viewers to compare different peoples. In an age when scholars, missionaries, native peoples and colonial officials debated whether New World inhabitants could – or should – be converted or enslaved, maps were uniquely suited for assessing the impact of environment on bodies and temperaments. Through innovative interdisciplinary methods connecting the European Renaissance to the Atlantic world, Davies uses new sources and questions to explore science as a visual pursuit, revealing how debates about the relationship betw

Optimization is used to determine the most appropriate value of variables under given conditions. The primary focus of using optimisation techniques is to measure the maximum or minimum value of a function depending on the circumstances. This book discusses problem formulation and problem solving with the help of algorithms such as secant method, quasi-Newton method, linear programming and dynamic programming. It also explains important chemical processes such as fluid flow systems, heat exchangers, chemical reactors and distillation systems using solved examples. The book begins by explaining the fundamental concepts followed by an elucidation of various modern techniques including trust-region methods, Levenberg–Marquardt algorithms, stochastic optimization, simulated annealing and statistical optimization. It studies the multi-objective optimization technique and its applications in chemical engineering and also discusses the theory and applications of various optimization software

Minority youth unemployment is an enduring economic and social concern. This book evaluates two new initiatives for minority high school students that seek to cultivate marketable job skills. The first is an after-school program that provides experiences similar to apprenticeships, and the second emphasizes new approaches to improving job interview performance. The evaluation research has several distinct strengths. It involves a randomized controlled trial, uncommon in assessments of this issue and age group. Marketable job skills are assessed through a mock job interview developed for this research and administered by experienced human resource professionals. Mixed methods are utilized, with qualitative data shedding light on what actually happens inside the programs, and a developmental science approach situating the findings in terms of adolescent development. Beneficial for policy makers and practitioners as well as scholars, Job Skills and Minority Youth focuses on identifying th

This comparative study traces Jewish, Christian, and Muslim scriptural interpretation from antiquity to modernity, with special emphasis on the pivotal medieval period. It focuses on three areas: responses in the different faith traditions to tensions created by the need to transplant scriptures into new cultural and linguistic contexts; changing conceptions of the literal sense and its importance vis-à-vis non-literal senses, such as the figurative, spiritual, and midrashic; and ways in which classical rhetoric and poetics informed - or were resisted in - interpretation. Concentrating on points of intersection, the authors bring to light previously hidden aspects of methods and approaches in Judaism, Christianity, and Islam. This volume opens new avenues for interdisciplinary analysis and will benefit scholars and students of biblical studies, religious studies, medieval studies, Islamic studies, Jewish studies, comparative religions, and theory of interpretation.

In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities. Here, the authors take the unique approach of investigating differential inequalities rather than equations, the reason being that the simplest way to study an equation is often to study a corresponding inequality; for example, using sub and superharmonic functions to study harmonic functions. Another unusual feature of the present book is that it is based on integral representation formulae and nonlinear potentials, which have not been widely investigated so far. This approach can also be used to tackle higher order differential equations. The book will appeal to graduate students interested in analysis, researchers in pure and applied mathematics, and engineers who work with partial differential equations. Readers will require only a basic knowledge of functional analysis, measure theory and Sobolev spaces.

Security is a vital subject of study in the twenty-first century and a central theme in many social science disciplines. This volume provides a comparative analysis of the ways in which the concept of security is theorized and studied across different disciplines. The book has two objectives: first, to explore the growing diversity of theories, paradigms, and methods developed to study security; and, second, to initiate a multidisciplinary dialogue about the ontological, epistemological, paradigmatic, and normative aspects of security studies in social sciences. Readers across nine fields are invited to reflect on their conceptualizations of security and to consider how an interdisciplinary dialogue can stimulate and enrich the understanding of security in our contemporary world. Analytically sharp yet easy to read, this is a cutting-edge volume exploring what security is and what it means in today's world.

Security is a vital subject of study in the twenty-first century and a central theme in many social science disciplines. This volume provides a comparative analysis of the ways in which the concept of security is theorized and studied across different disciplines. The book has two objectives: first, to explore the growing diversity of theories, paradigms, and methods developed to study security; and, second, to initiate a multidisciplinary dialogue about the ontological, epistemological, paradigmatic, and normative aspects of security studies in social sciences. Readers across nine fields are invited to reflect on their conceptualizations of security and to consider how an interdisciplinary dialogue can stimulate and enrich the understanding of security in our contemporary world. Analytically sharp yet easy to read, this is a cutting-edge volume exploring what security is and what it means in today's world.

In today's highly competitive market, organizations increasingly need to innovate in order to survive. Drawing on a wealth of psychological research in the field of creativity, David H. Cropley and Arthur J. Cropley illustrate practical methods for conceptualizing and managing organizational innovation. They present a dynamic model of the interactions between four key components of creativity - product, person, process, and press - which function as building blocks of innovation. This volume sheds new light on the nature of innovative products and the processes that generate them, the psychological characteristics of innovative people, and the environments that facilitate innovation. It also fills a significant gap in the current literature by addressing the paradoxical quality of organizational innovation, which may be both helped and hindered by the same factors. The authors demonstrate that with proper measurement and management, organizations can effectively encourage individuals t

In today's highly competitive market, organizations increasingly need to innovate in order to survive. Drawing on a wealth of psychological research in the field of creativity, David H. Cropley and Arthur J. Cropley illustrate practical methods for conceptualizing and managing organizational innovation. They present a dynamic model of the interactions between four key components of creativity - product, person, process, and press - which function as building blocks of innovation. This volume sheds new light on the nature of innovative products and the processes that generate them, the psychological characteristics of innovative people, and the environments that facilitate innovation. It also fills a significant gap in the current literature by addressing the paradoxical quality of organizational innovation, which may be both helped and hindered by the same factors. The authors demonstrate that with proper measurement and management, organizations can effectively encourage individuals t

Minority youth unemployment is an enduring economic and social concern. This book evaluates two new initiatives for minority high school students that seek to cultivate marketable job skills. The first is an after-school program that provides experiences similar to apprenticeships, and the second emphasizes new approaches to improving job interview performance. The evaluation research has several distinct strengths. It involves a randomized controlled trial, uncommon in assessments of this issue and age group. Marketable job skills are assessed through a mock job interview developed for this research and administered by experienced human resource professionals. Mixed methods are utilized, with qualitative data shedding light on what actually happens inside the programs, and a developmental science approach situating the findings in terms of adolescent development. Beneficial for policy makers and practitioners as well as scholars, Job Skills and Minority Youth focuses on identifying th

Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.

For centuries, laymen and priests, lone thinkers and philosophical schools in Greece, China, the Islamic world and Europe reflected with wisdom and perseverance on how the natural world fits together. As a rule, their methods and conclusions, while often ingenious, were misdirected when viewed from the perspective of modern science. In the 1600s thinkers such as Galileo, Kepler, Descartes, Bacon and many others gave revolutionary new twists to traditional ideas and practices, culminating in the work of Isaac Newton half a century later. It was as if the world was being created anew. But why did this recreation begin in Europe rather than elsewhere? This book caps H. Floris Cohen's career-long effort to find answers to this classic question. Here he sets forth a rich but highly accessible account of what, against many odds, made it happen and why.

Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.

For centuries, laymen and priests, lone thinkers and philosophical schools in Greece, China, the Islamic world and Europe reflected with wisdom and perseverance on how the natural world fits together. As a rule, their methods and conclusions, while often ingenious, were misdirected when viewed from the perspective of modern science. In the 1600s thinkers such as Galileo, Kepler, Descartes, Bacon and many others gave revolutionary new twists to traditional ideas and practices, culminating in the work of Isaac Newton half a century later. It was as if the world was being created anew. But why did this recreation begin in Europe rather than elsewhere? This book caps H. Floris Cohen's career-long effort to find answers to this classic question. Here he sets forth a rich but highly accessible account of what, against many odds, made it happen and why.