Download or read book Implicit Partial Differential Equations written by Bernard Dacorogna and published by Springer Science & Business Media. This book was released on 1999-08-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.

Download or read book Variational Analysis and Aerospace Engineering written by Giuseppe Buttazzo and published by Springer Science & Business Media. This book was released on 2009-08-21 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Variational Analysis and Aerospace Engineering conference held in Erice, Italy in September 2007 at International School of Mathematics, Guido Stampacchia provided a platform for aerospace engineers and mathematicians to discuss the problems requiring an extensive application of mathematics. This work contains papers presented at the workshop.

Download or read book Better Skills Better Jobs Better Lives written by Organisation for Economic Cooperation and Development and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book TACCLE written by Graham Attwell and published by GO! Internationalisering. This book was released on 2009 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for classroom teachers who want to know more about e-learning and who would like to experiment with designing e-learning material to use in their own classrooms. It is primarily targeted at secondary teachers but there is no reason why primary school teachers and adult education teachers should not find it useful too. The other group we had in mind were those of you still undertaking initial teacher training. Although there are some exemplary courses, a depressing number of trainee teachers continue to arrive in the classroom having barely heard the words ‘e-learning’, still less have hands on experience of it.

Download or read book Researching the History of Mathematics Education written by Fulvia Furinghetti and published by Springer. This book was released on 2017-12-04 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Download or read book The Boundaries of Europe written by Pietro Rossi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-04-24 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Europe’s boundaries have mainly been shaped by cultural, religious, and political conceptions rather than by geography. This volume of bilingual essays from renowned European scholars outlines the transformation of Europe’s boundaries from the fall of the ancient world to the age of decolonization, or the end of the explicit endeavor to “Europeanize” the world.From the decline of the Roman Empire to the polycentrism of today’s world, the essays span such aspects as the confrontation of Christian Europe with Islam and the changing role of the Mediterranean from “mare nostrum” to a frontier between nations. Scandinavia, eastern Europe and the Atlantic are also analyzed as boundaries in the context of exploration, migratory movements, cultural exchanges, and war. The Boundaries of Europe, edited by Pietro Rossi, is the first installment in the ALLEA book series Discourses on Intellectual Europe, which seeks to explore the question of an intrinsic or quintessential European identity in light of the rising skepticism towards Europe as an integrated cultural and intellectual region.

Download or read book World Development Report 2019 written by World Bank and published by World Bank Publications. This book was released on 2018-10-31 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Work is constantly reshaped by technological progress. New ways of production are adopted, markets expand, and societies evolve. But some changes provoke more attention than others, in part due to the vast uncertainty involved in making predictions about the future. The 2019 World Development Report will study how the nature of work is changing as a result of advances in technology today. Technological progress disrupts existing systems. A new social contract is needed to smooth the transition and guard against rising inequality. Significant investments in human capital throughout a person’s lifecycle are vital to this effort. If workers are to stay competitive against machines they need to train or retool existing skills. A social protection system that includes a minimum basic level of protection for workers and citizens can complement new forms of employment. Improved private sector policies to encourage startup activity and competition can help countries compete in the digital age. Governments also need to ensure that firms pay their fair share of taxes, in part to fund this new social contract. The 2019 World Development Report presents an analysis of these issues based upon the available evidence.

Download or read book The Distribution of Prime Numbers written by Albert Edward Ingham and published by Cambridge University Press. This book was released on 1990-09-28 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.

Download or read book The Mathematics Teacher in the Digital Era written by Alison Clark-Wilson and published by Springer Science & Business Media. This book was released on 2013-12-08 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume addresses the key issue of the initial education and lifelong professional learning of teachers of mathematics to enable them to realize the affordances of educational technology for mathematics. With invited contributions from leading scholars in the field, this volume contains a blend of research articles and descriptive texts. In the opening chapter John Mason invites the reader to engage in a number of mathematics tasks that highlight important features of technology-mediated mathematical activity. This is followed by three main sections: An overview of current practices in teachers’ use of digital technologies in the classroom and explorations of the possibilities for developing more effective practices drawing on a range of research perspectives (including grounded theory, enactivism and Valsiner’s zone theory). A set of chapters that share many common constructs (such as instrumental orchestration, instrumental distance and double instrumental genesis) and research settings that have emerged from the French research community, but have also been taken up by other colleagues. Meta-level considerations of research in the domain by contrasting different approaches and proposing connecting or uniting elements

Download or read book Deep Time of the Media written by Siegfried Zielinski and published by MIT Press. This book was released on 2008-02-15 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: A quest to find something new by excavating the "deep time" of media's development—not by simply looking at new media's historic forerunners, but by connecting models, machines, technologies, and accidents that have until now remained separated. Deep Time of the Media takes us on an archaeological quest into the hidden layers of media development—dynamic moments of intense activity in media design and construction that have been largely ignored in the historical-media archaeological record. Siegfried Zielinski argues that the history of the media does not proceed predictably from primitive tools to complex machinery; in Deep Time of the Media, he illuminates turning points of media history—fractures in the predictable—that help us see the new in the old. Drawing on original source materials, Zielinski explores the technology of devices for hearing and seeing through two thousand years of cultural and technological history. He discovers the contributions of "dreamers and modelers" of media worlds, from the ancient Greek philosopher Empedocles and natural philosophers of the Renaissance and Baroque periods to Russian avant-gardists of the early twentieth century. "Media are spaces of action for constructed attempts to connect what is separated," Zielinski writes. He describes models and machines that make this connection: including a theater of mirrors in sixteenth-century Naples, an automaton for musical composition created by the seventeenth-century Jesuit Athanasius Kircher, and the eighteenth-century electrical tele-writing machine of Joseph Mazzolari, among others. Uncovering these moments in the media-archaeological record, Zielinski says, brings us into a new relationship with present-day moments; these discoveries in the "deep time" media history shed light on today's media landscape and may help us map our expedition to the media future.

Download or read book Green s Kernels and Meso Scale Approximations in Perforated Domains written by Vladimir Maz'ya and published by Springer. This book was released on 2013-06-07 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are a wide range of applications in physics and structural mechanics involving domains with singular perturbations of the boundary. Examples include perforated domains and bodies with defects of different types. The accurate direct numerical treatment of such problems remains a challenge. Asymptotic approximations offer an alternative, efficient solution. Green’s function is considered here as the main object of study rather than a tool for generating solutions of specific boundary value problems. The uniformity of the asymptotic approximations is the principal point of attention. We also show substantial links between Green’s functions and solutions of boundary value problems for meso-scale structures. Such systems involve a large number of small inclusions, so that a small parameter, the relative size of an inclusion, may compete with a large parameter, represented as an overall number of inclusions. The main focus of the present text is on two topics: (a) asymptotics of Green’s kernels in domains with singularly perturbed boundaries and (b) meso-scale asymptotic approximations of physical fields in non-periodic domains with many inclusions. The novel feature of these asymptotic approximations is their uniformity with respect to the independent variables. This book addresses the needs of mathematicians, physicists and engineers, as well as research students interested in asymptotic analysis and numerical computations for solutions to partial differential equations.

Download or read book The Theory of Composites written by Graeme W. Milton and published by SIAM. This book was released on 2022-12-07 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composites have been studied for more than 150 years, and interest in their properties has been growing. This classic volume provides the foundations for understanding a broad range of composite properties, including electrical, magnetic, electromagnetic, elastic and viscoelastic, piezoelectric, thermal, fluid flow through porous materials, thermoelectric, pyroelectric, magnetoelectric, and conduction in the presence of a magnetic field (Hall effect). Exact solutions of the PDEs in model geometries provide one avenue of understanding composites; other avenues include microstructure-independent exact relations satisfied by effective moduli, for which the general theory is reviewed; approximation formulae for effective moduli; and series expansions for the fields and effective moduli that are the basis of numerical methods for computing these fields and moduli. The range of properties that composites can exhibit can be explored either through the model geometries or through microstructure-independent bounds on the properties. These bounds are obtained through variational principles, analytic methods, and Hilbert space approaches. Most interesting is when the properties of the composite are unlike those of the constituent materials, and there has been an explosion of interest in such composites, now known as metamaterials. The Theory of Composites surveys these aspects, among others, and complements the new body of literature that has emerged since the book was written. It remains relevant today by providing historical background, a compendium of numerous results, and through elucidating many of the tools still used today in the analysis of composite properties. This book is intended for applied mathematicians, physicists, and electrical and mechanical engineers. It will also be of interest to graduate students.

Download or read book History of Nonlinear Oscillations Theory in France 1880 1940 written by Jean-Marc Ginoux and published by Springer. This book was released on 2017-04-18 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development. The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars. Readers will see that, contrary to what is often written, France's role has been significant. Important contributions were made through both the work of French scholars from within diverse disciplines (mathematicians, physicists, engineers), and through the geographical crossroads that France provided to scientific communication at the time. This study includes an examination of the period before the First World War which is vital to understanding the work of the later period. By examining literature sources such as periodicals on the topic of electricity from that era, the author has unearthed a very important text by Henri Poincaré, dating from 1908. In this work Poincaré applied the concept of limit cycle (which he had introduced in 1882 through his own works) to study the stability of the oscillations of a device for radio engineering. The “discovery” of this text means that the classical perspective of the historiography of this mathematical theory must be modified. Credit was hitherto attributed to the Russian mathematician Andronov, from correspondence dating to 1929. In the newly discovered Poincaré text there appears to be a strong interaction between science and technology or, more precisely, between mathematical analysis and radio engineering. This feature is one of the main components of the process of developing the theory of nonlinear oscillations. Indeed it is a feature of many of the texts referred to in these chapters, as they trace the significant developments to which France contributed. Scholars in the fields of the history of mathematics and the history of science, and anyone with an interest in the philosophical underpinnings of science will find this a particularly engaging account of scientific discovery and scholarly communication from an era full of exciting developments.

Download or read book Giuseppe Peano between Mathematics and Logic written by Fulvia Skof and published by Springer Science & Business Media. This book was released on 2011-04-30 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.

Download or read book Pouring Jewish Water into Fascist Wine written by Robert Aleksander Maryks and published by BRILL. This book was released on 2017-01-05 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the second part of the project on the impact of the racial laws under the Mussolini regime is to offer the reader a critical edition and an English translation of 139 letters that were exchanged between the victims of those laws (and their relatives and friends) and the Jesuit Pietro Tacchi Venturi (1861–1956) who interceded with the Fascist government in order to circumvent or alleviate various provisions of the 1938 anti-Jewish legislation.

Download or read book Philosophical Lectures on Probability written by Bruno de Finetti and published by Springer Science & Business Media. This book was released on 2008-05-20 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bruno de Finetti (1906–1985) is the founder of the subjective interpretation of probability, together with the British philosopher Frank Plumpton Ramsey. His related notion of “exchangeability” revolutionized the statistical methodology. This book (based on a course held in 1979) explains in a language accessible also to non-mathematicians the fundamental tenets and implications of subjectivism, according to which the probability of any well specified fact F refers to the degree of belief actually held by someone, on the ground of her whole knowledge, on the truth of the assertion that F obtains.

Download or read book Fields Medallists Lectures written by Michael Atiyah and published by World Scientific. This book was released on 1997-10-13 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.