Are you intimidated by Shakespeare? Don't be! Time for S.O.S.: Students on Shakespeare. And the message is simple: Shakespeare is for everyone! More than just a plot synopsis, S.O.S. is a book about the deeper meaning of the Bard's language: the power of his imagery and the beauty of his poetry. Written by students, the insightful commentary on Shakespeare's plays will inspire general readers as well as serious students to generate their own creative ideas and appreciate the genius of the greatest writer of all time!
As the title of the book indicates, this is primarily a book on partial differential equations (PDEs) with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The standard paradigm, or direct problem, is to take a PDE, including all coefficients and initial/boundary conditions, and to determine the solution. The inverse problem reverses this approach asking what information about coefficients of the model can be obtained from partial information on the solution. Answering this question requires knowledge of the underlying physical model, including the exact dependence on material parameters. The last feature of the approach taken by the authors is the inclusion of fractional derivatives. This is driven by direct physical applications: a fractional derivative model often allows greater adherence to physical observations than the traditional integer order case. The book also has an extensive historical section and the material that can be called "fractional calculus" and ordinary differential equations with fractional derivatives. This part is accessible to advanced undergraduates with basic knowledge on real and complex analysis. At the other end of the spectrum, lie nonlinear fractional PDEs that require a standard graduate level course on PDEs.
This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems in mechanics. The inclusion of non-conservatism is extremely important from the point of view of applications. Forces that do not store energy are always present in real systems. They remove energy from the systems and, as a consequence, Noether's conservation laws cease to be valid. However, it is still possible to obtain the validity of Noether's principle using FCV. The new theory provides a more realistic approach to physics, allowing us to consider non-conservative systems in a natural way. The authors prove the necessary Euler-Lagrange conditions and corresponding Noether theorems for several types of fractional variational problems, with and without constraints, using Lagrangian and Hamiltonian formalisms. Sufficient optimality conditions are also obtained under convexity, and Leitmann's direct method is discussed within the framework of FCV.The book is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and ambitious undergraduates in mathematics and mechanics. It provides an opportunity for an introduction to FCV for experienced researchers. The explanations in the book are detailed, in order to capture the interest of the curious reader, and the book provides the necessary background material required to go further into the subject and explore the rich research literature./a
Differential Equations: Techniques, Theory, and Applications is designed for a modern first course in differential equations either one or two semesters in length. The organization of the book interweaves the three components in the subtitle, with each building on and supporting the others. Techniques include not just computational methods for producing solutions to differential equations, but also qualitative methods for extracting conceptual information about differential equations and the systems modeled by them. Theory is developed as a means of organizing, understanding, and codifying general principles. Applications show the usefulness of the subject as a whole and heighten interest in both solution techniques and theory. Formal proofs are included in cases where they enhance core understanding; otherwise, they are replaced by informal justifications containing key ideas of a proof in a more conversational format. Applications are drawn from a wide variety of fields: those in physical science and engineering are prominent, of course, but models from biology, medicine, ecology, economics, and sports are also featured. The 1,400+ exercises are especially compelling. They range from routine calculations to large-scale projects. The more difficult problems, both theoretical and applied, are typically presented in manageable steps. The hundreds of meticulously detailed modeling problems were deliberately designed along pedagogical principles found especially effective in the MAA study Characteristics of Successful Calculus Programs, namely, that asking students to work problems that require them to grapple with concepts (or even proofs) and do modeling activities is key to successful student experiences and retention in STEM programs. The exposition itself is exceptionally readable, rigorous yet conversational. Students will find it inviting and approachable. The text supports many different styles of pedagogy from traditional lecture to a flipped classroom model. The availability of a computer algebra system is not assumed, but there are many opportunities to incorporate the use of one.
Profiles more than 150 scientists from around the world who made important contributions to the field of marine science, including George Bass, Viktor Hensen, Arnold Lang, and Marie Tharp.
This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials, " held in Italy in 2001. The papers are divided into four parts: "Methods in Materials Science" deals mainly with mathematical techniques fo the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems. "Modelling of Smart Materials" is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties. "Well-Posedness in Materials with Memory" deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations. "Analytic Problems in Phase Transitions" discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo type equation, the hysteresis in thermo-visco plasticity, and the solid-solid phase transition. Contents: Automatic Control Problems for Integrodifferential Parabolic Equations (C Cavaterra);Phase Relaxation Problems with Memory and Their Optimal Control (P Colli); Unified Dynamics of Particles and Photons (G Ferrarese); Solid-Solid Phase Transition in a Mechanical System (G Gilardi); KAM Methods for Nonautonomous
Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.
To those who may be encountering Louisiana for the first time through these wonderful stories-prepare to be engaged and entertained to a degree to which you are certainly unaccustomed . . . Barbara's gift for storytelling holds in the written word just as it does before a television camera."-Phillip J. Jones, former secretary, Louisiana Department of Culture, Recreation, and Tourism "A personal, anecdotal narrative that paints events with evocative descriptions . . . best savored in slices-it serves up a great bedtime read."-New Orleans Times-Picayune Based on the PBS documentary of the same name that aired across the country, The Haunting of Louisiana highlights many of the stories that would not fit into the one-hour television program. Louisiana's haunted reputation is spotlighted in the twenty chapters that cover the ghostly escapades and happenings at Oak Alley Plantation, Ormond Plantation, Destrehan Manor, and America's "most haunted home," the Myrtles, in St. Francisville, to name a few. The book also includes behind-the-scenes incidents that occurred during the taping of the documentary. Who is the lady in the photograph whose mirrored reflection appears headless in a bedroom in Oak Alley Plantation? Why are little girls the only tour visitors to experience the taunting of Chloe, a slave and mistress of the owner of the Myrtles in the 1800s? Whose invisible hand had to be repeatedly pushed away from the owner's car horn at Chretien Point Plantation before the owner could get a good night's rest? The spine-tingling explanations for these events and many others are just waiting to be discovered.
These writings have evolved properly over living many years on the planet and enjoying observations of my fellow man. It's about learning how to flow within the rhythm of all “LIFE FORMS” and laughing about silly things incredulous human beings do. It’s about loving the human race, and living everywhere on the planet at one time; it’s about you! Note: There is no intention on my part to be cogent as these writings have come about from a knowing heart! Upon using the words man and he, I am referring to the Homo Sapien species which include both male/female gender as we know it at the time of these writings.
William Huggins (1824–1910) was celebrated in his lifetime as the father of astrophysics. The letters and observatory notebooks contained in this edition allow Huggins’ important role in the development of astrophysics to fully emerge. Material comes from archives around the world and is previously unpublished.
With her customary grace, intelligence and wit, Barbara Brown Taylor wonders why science and faith have become polarized in the popular imagination. She explores what quantum physics, the new biology and chaos theory can teach people of faith and why scientists sound like poets and why physicists use the language of imagination, ambiguity, and mystery that is also found in scripture. In explaining why the church should care about the new insights of science, Taylor suggests ways we might close the gap between spirit and matter, between the sacred and the secular, and celebrate our shared life in the “web of creation” where nothing is without consequence, where all things coexist, where faith and science together seek to discover the same truths about the universe.
This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development. Organized in hypertext fashion, the book tells a story of scientific dis
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1991.
Melodrama and Meaning is a major addition to the new historical approach to film studies. Barbara Klinger shows how institutions most associated with Hollywood cinema—academia, the film industry, review journalism, star publicity, and the mass media—create meaning and ideological identity for films. Chapters focus on Sirk's place in the development of film studies from the 1950s through the 1980s, as well as the history of the critical reception (both academic and popular) of Sirk's films, a history that outlines journalism's role in public tastemaking. Other chapters are devoted to Universal's selling of Written on the Wind, the machinery of star publicity and the changing image of Rock Hudson, and the contemporary "institutionalized" camp response to Sirk that has resulted from developments in mass culture.
As the title of the book indicates, this is primarily a book on partial differential equations (PDEs) with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The standard paradigm, or direct problem, is to take a PDE, including all coefficients and initial/boundary conditions, and to determine the solution. The inverse problem reverses this approach asking what information about coefficients of the model can be obtained from partial information on the solution. Answering this question requires knowledge of the underlying physical model, including the exact dependence on material parameters. The last feature of the approach taken by the authors is the inclusion of fractional derivatives. This is driven by direct physical applications: a fractional derivative model often allows greater adherence to physical observations than the traditional integer order case. The book also has an extensive historical section and the material that can be called "fractional calculus" and ordinary differential equations with fractional derivatives. This part is accessible to advanced undergraduates with basic knowledge on real and complex analysis. At the other end of the spectrum, lie nonlinear fractional PDEs that require a standard graduate level course on PDEs.
This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications.
This book contains the papers presented at the conference on OC Mathematical Models and Methods for Smart MaterialsOCO, held in Italy in 2001. The papers are divided into four parts: OCOMethods in Materials ScienceOCO deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems.OCOModelling of Smart MaterialsOCO is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties.OCOWell-Posedness in Materials with MemoryOCO deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations.OCOAnalytic Problems in Phase TransitionsOCO discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition.
DIFFERENTIAL DIAGNOSIS IN DERMATOLOGY Fifth Edition RICHARD ASHTON, MA, MD, FRCP, Consultant Dermatologist, Lighthouse Clinic, Isle of Wight, UK, formerly Consultant Dermatologist to the Royal Navy BARBARA LEPPARD, DM, FRCP, Retired Consultant Dermatologist, Southampton University NHS Trust, UK The ethos of this bestselling text is that however much or little you know about skin disease you can always arrive at the right diagnosis. The secret is to examine the surface of the rash or skin lesion which will help you classify the clinical features correctly - colour, surface features, type of lesion, border and how long it has been present. Algorithms throughout each chapter give the differential diagnosis for the features you have elicited. Accompanying clinical photographs and clear descriptions of the conditions will enable you to check whether you are right or not. If your choice seems unlikely, any conditions that could be confused with the one you selected are listed along the base of the algorithm to help you compare diagnoses so that you can get to the right answer. We hope this new edition - enhanced with specific instructions on treatment - will be the only quick clinical reference you will ever need for dermatology diagnoses. With over 1000 illustrations.
Challenging traditional accounts of the origins of astrophysics, this book presents the first scholarly biography of nineteenth-century English amateur astronomer William Huggins (1824–1910). A pioneer in adapting the spectroscope to new astronomical purposes, William Huggins rose to scientific prominence in London and transformed professional astronomy to become a principal founder of the new science of astrophysics. The author re-examines his life and career, exploring unpublished notebooks, correspondence and research projects to expose the boldness of this scientific entrepreneur. While Sir William Huggins is the main focus of the book, the involvement of Lady Margaret Lindsay Huggins (1848–1915) in her husband's research is examined, where it may have been previously overlooked or obscured. Written in an engaging style, this book has broad appeal and will be valuable to scientists, students and anyone interested in the history of astronomy.
Aquatic insects are the dominant invertebrate fauna in most freshwater ecosystems, and figure prominently in the work of a diverse range of researchers, students, and environmental managers. Often employed as indicators of ecosystem health, aquatic insects are also commonly used as model systems to test hypotheses in ecological topics including metapopulation and metacommunity dynamics, recruitment limitation, trophic interactions, and trophic networks. Due to their complex life cycles, aquatic insects must master both terrestrial and aquatic environments, crossing these ecosystem boundaries during different stages of development and reproduction. In this wide-ranging text, life under and on top of the water surface are covered in unusual detail, including the biomechanics of life in water, locomotion underwater and on surface films, gas exchange, physico-chemical stressors, feeding, sensory perception and communication, reproduction, egg-laying and development, and the evolution of aquatic habits. The threatened status of freshwaters around the world, coupled with an expanding population of researchers and managers charged with their well-being, signals the importance of such a book as many individuals seek to understand how insects function in these often challenging physical environments. Interest in freshwaters may never have been higher with ever-increasing conflict between water allocation for human (agricultural) use and conservation. Aquatic Entomology is suitable for graduate students, researchers, and managers interested in the subject from a perspective of either basic or applied ecology. It will also be a valuable supplementary text for courses in limnology or freshwater ecology, entomology, and water resource management.
William Huggins (1824–1910) was celebrated in his lifetime as the father of astrophysics. The letters and observatory notebooks contained in this edition allow Huggins’ important role in the development of astrophysics to fully emerge. Material comes from archives around the world and is previously unpublished.
The Sands of Time is a series of short stories dealing with both the wildlife of today, prehistoric and ancient cultures, and the history behind astronomy. In this time period, Barbara Silverman writes about unusual animal species, many unfamiliar to the average person. Then traveling back into the past you, the reader, will share the lives of people from long ago. You will listen to animal mythology and see how it affected their daily lives. You will look at the skies through the eyes of these cultures from long ago, listening to their stories and visiting some of the astronomically aligned structures that have been left behind. While, in more modern times there are several stories about various astronomers that helped to shape our knowledge of the stars and planets. These astronomers lived in different times, different places, but united by their love of the stars. The Sands of Time was written for the average reader. Well researched, well written, sometimes with a sense of humour, this book contains something for everyone, whether you are a casual reader or someone looking for in-depth reading, you will not be disappointed.
* Presents in-depth, comprehensive coverage of the adult cardiovascular patient, including ways to assess, diagnose, and treat various dysfunctions -- all with a holistic nursing focus * Addresses prevention, critical illness, rehabilitation, and health promotion, plus advances in pharmacologic, technologic, and biobehavioral interventions * Examines how cardiovascular dysfunction affects the patient's mind and spirit * Helps you gain expertise in the use of both technology and biobehavioral techniques
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