This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can be approached in various ways depending on the interests of the reader. Unifying this structure is the central role the Brouwer degree plays in nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for nonlinear mappings. Special attention is paid to the computation of the degree, as well as to the wide array of applications, such as linking, differential and partial differential equations, difference equations, variational and hemivariational inequalities, game theory, and mechanics. Each chapter features bibliographic and historical notes, and the final chapter examines the full history. Brouwer Degree will serve as an authoritative reference on the topic and will be of interest to professional mathematicians, researchers, and graduate students.
The origins of the large estate of Carolingian Europe and the role it played in the evolution of Frankish society and economy are the themes of this volume. The first group of articles focus on documentary evidence, especially the polyptychs and their interpretation. Though there is insufficient material for any true quantitive history, Professor Devroey argues that the evidence points to demographic expansion, coupled with the exploitation of new agricultural methods and crops, and a reliance on the family as the unit of production. Further studies relate these estates to the commercial networks of the area, from a local to an international level. A final concern is to demonstrate that the large estate formed a key component of the Carolingian rulers’ aim to establish the ’bonum commune’ and a stable society, with assured food supplies, regulated markets and a just system of weights and measures. L’origine du grand domaine de l’Europe carolingienne et le rôle qu’il jouait dans l’évolution de la société et de l’économie du monde franc sont les thèmes de ce volume. Le premier groupe d’articles se concentre sur des documents et plus spécialement sur les polyptyques et leur interprétation. Bien qu’il n’y ait pas de matériel suffisant pour une histoire quantitative, le professeur Devroey soutient que tout indique une expansion démographie, à laquelle viennent s’ajouter l’exploitation de nouvelles méthodes agricoles et de récoltes, ainsi qu’une dépendance vis-à-vis de la famille en tant qu’unité de production. Des études supplémentaires font le lien entre ces propriétés et les réseaux commerciaux de cette partie du monde, du niveau local au niveau international. L’auteur s’efforce finalement de démontrer que le grand domaine était un des facteurs à la base de la volonté des dirigeants carolingiens d’instaurer le ’bonum commune’ et une société stable avec des approvisionnements assurés, des march
Divided into two volumes, The Teachings of Modern Christianity on Law, Politics, and Human Nature offers a landmark collection of writings from twenty Christian thinkers of the nineteenth and twentieth centuries and analyses of their work by leading contemporary religious scholars.With selections from the works of Jacques Maritain, Gustavo Gutiérrez, Dorothy Day, Pope John Paul II, Susan B. Anthony, Karl Barth, Dietrich Bonhoeffer, Reinhold Niebuhr, Martin Luther King Jr., Nikolai Berdyaev, Vladimir Lossky, and others, Volume 2 illustrates the different venues, vectors, and sometimes-conflicting visions of what a Christian understanding of law, politics, and society entails. The collection includes works by popes, pastors, nuns, activists, and theologians writing from within the Catholic, Protestant, and Orthodox Christian traditions. Addressing racism, totalitarianism, sexism, and other issues, many of the figures in this volume were the victims of church censure, exile, imprisonment, assassination, and death in Nazi concentration camps. These writings amplify the long and diverse tradition of modern Christian social thought and its continuing relevance to contemporary pluralistic societies. The volume speaks to questions regarding the nature and purpose of law and authority, the limits of rule and obedience, the care and nurture of the needy and innocent, the rights and wrongs of war and violence, and the separation of church and state. The historical focus and ecumenical breadth of this collection fills an important scholarly gap and revives the role of Christian social thought in legal and political theory.The first volume of The Teachings of Modern Christianity on Law Politics, and Human Nature includes essays by leading contemporary religious scholars, exploring the ideas, influences, and intellectual and cultural contexts of the figures from this volume.
Acoustic and electromagnetic waves underlie a range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. This book, written by an international researcher, presents some of the research in a complete way. It is useful for graduate students in mathematics, physics, and engineering.
This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.
FACHGEB The last decade has seen a tremendous development in critical point theory in infinite dimensional spaces and its application to nonlinear boundary value problems. In particular, striking results were obtained in the classical problem of periodic solutions of Hamiltonian systems. This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non-degenerate critical manifolds. Each technique is illustrated by applications to the discussion of the existence, multiplicity, and bifurcation of the periodic solutions of Hamiltonian systems. Among the treated questions are the periodic solutions with fixed period or fixed energy of autonomous systems, the existence of subharmonics in the non-autonomous case, the asymptotically linear Hamiltonian systems, free and forced superlinear problems. Application of those results to the equations of mechanical pendulum, to Josephson systems of solid state physics and to questions from celestial mechanics are given. The aim of the book is to introduce a reader familiar to more classical techniques of ordinary differential equations to the powerful approach of modern critical point theory. The style of the exposition has been adapted to this goal. The new topological tools are introduced in a progressive but detailed way and immediately applied to differential equation problems. The abstract tools can also be applied to partial differential equations and the reader will also find the basic references in this direction in the bibliography of more than 500 items which concludes the book. ERSCHEIN
New Edition available hereGalois' Theory of Algebraic Equations gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The main emphasis is placed on equations of at least the third degree, i.e. on the developments during the period from the sixteenth to the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as “group” and “field”. A brief discussion on the fundamental theorems of modern Galois theory is included. Complete proofs of the quoted results are provided, but the material has been organized in such a way that the most technical details can be skipped by readers who are interested primarily in a broad survey of the theory.This book will appeal to both undergraduate and graduate students in mathematics and the history of science, and also to teachers and mathematicians who wish to obtain a historical perspective of the field. The text has been designed to be self-contained, but some familiarity with basic mathematical structures and with some elementary notions of linear algebra is desirable for a good understanding of the technical discussions in the later chapters.
Guides practitioners through the international arbitration process from beginning to end. This work covers each step of arbitral procedure, from the conclusion of the arbitration agreement to the enforcement of the arbitral award, from a comparative standpoint, helping practitioners decide which jurisdiction's rules they wish to be bound by
Presents a portrait of four generations of the Stevenson family in America, from the first Scotch-Irish immigrants to the life and career of the noted liberal politician Adlai Stevenson.
Stability Domains is an up-to-date account of stability theory with particular emphasis on stability domains. Beyond the fundamental basis of the theory of dynamical systems, it includes recent developments in the classical Lyapunov stability concept, practical stabiliy properties, and a new Lyapunov methodology for nonlinear systems. It also introduces classical Lyapunov and practical stability theory for time-invariant nonlinear systems in general and for complex (interconnected, large scale) nonlinear dynamical systems in particular. This is a complete treatment of the theory of stability domains useful for postgraduates and researchers working in this area of applied mathematics and engineering.
En pleine congruence avec l’ambition du Groupe Européen pour l’Administration Publique d’encourager les échanges interculturels, ce livre constitue une entreprise originale, mi-anglophone mi-francophone. Cet ouvrage issu du Congrès du GEAP 2010 a pour objet de combler un déplorable fossé et de donner une visibilité internationale au « cas français ». Dès lors ce livre, en 18 chapitres rédigés en français par une équipe interdisciplinaire (politistes, sociologues, historiens, socio-historiens, juristes) avec plus de 150 pages en anglais et une vaste bibliographie unifiée, entend offrir à tous les spécialistes de l’administration publique de par le monde un point d’accès unique au plus récent état des savoirs sur l’administration en France – ce pays où le mot État s’écrit avec un E majuscule. ============================================ In full compliance with the ambition of the European Group for Public Administration to encourage cross-cultural exchanges, this book is a genuinely original undertaking. It is a hybrid Anglophone-Francophone product. This book from EGPA 2010 Conference purpose to bridge a regrettable gap and to give international visibility to the “French case”. Thus, this book, in 18 chapters written in French by an interdisciplinary team (political scientists, sociologists, historians, sociohistorians, jurists) with more than 150 pages in English and a vast unified bibliography, offers to all students of public administration in the world a unique entry gate to the latest state of the art of administrative studies in France – this country where the State is to be spelled with a capital S.
Please note: this edition is text only and does not contain images. The most in-depth exploration of Springsteen's songs ever written. Spanning nearly 50 years of albums, EPs, B-sides, and more, this is the full story behind every single song that The Boss has ever released. Moving chronologically through Springsteen's long career, expert authors Margotin and Guesdon explore everything there is to know about every single song. No stone is left unturned across 670 pages, from the inspiration behind the lyrics and melody to the recording process and even the musicians and producers who worked on each track. Uncover the stories behind the music in this truly definitive book - a must-have for every Springsteen fan.
The popularity of Charles de Foucauld continues to spread around the globe as time goes on. Unknown during his lifetime as a solitary monk in the Sahara Desert, and assassinated by bandits in 1916, this former French playboy had a radical conversion to Christ that compelled him to live a deeply ascetical religious life that has had a great impact on the world since his death. This definitive biography by Jean-Jacques Antier, a renowned French author of more than 50 books, is the fruit of his exhaustive research on Foucauld's life, writings and correspondence. He was given access to the complete archive on the life of Foucauld from the Congregation of the Saints compiled for his beatification process. Antier also interviewed numerous witnesses resulting in a powerful, inspiring biography of this holy, 20th century figure, a "personality of fire." Illustrated. "In seeking the true and the good, our contemporaries tend to prefer authentic and modest witnesses, symbols of the salvation of the human family. That was the intuition which guided Charles de Foucauld, a great man of God, who sought to show the Gospel in a hidden, laborious way, in the silence which God signifies his presence as if it were a gentle breeze." --Pope John Paul II
The volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANR's, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles. CONTENTS: P. Fitzpatrick: The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- M. Martelli: Continuation principles and boundary value problems.- J. Mawhin: Topological degree and boundary value problems for nonlinear differential equations.- R.D. Nussbaum: The fixed point index and fixed point theorems.
This 2001 book presents a general theory as well as a constructive methodology to solve 'observation problems', that is, reconstructing the full information about a dynamical process on the basis of partial observed data. A general methodology to control processes on the basis of the observations is also developed. Illustrative but also practical applications in the chemical and petroleum industries are shown. This book is intended for use by scientists in the areas of automatic control, mathematics, chemical engineering and physics.
Materials science is an area of growing research as composite materials become widely used in such areas as civil engineering, electrotechnics, and the aerospace industry. This mathematically rigorous treatment of lattice-type structures will appeal to both applied mathematicians, as well as engineers looking for a solid mathematical foundation of the methodology.
Mobilizing Resentment provides a wealth of information for anyone interested in how to refocus the energy and idealism of the progressive movement on the building of institutions that are relevant to the lives of most Americans.' --Wilma Mankiller, from the Foreword Jean Hardisty, draws a map of the political battles now being fought in America and offers lessons for progressives confronting, combating and constructively engaging the Right in more productive ways. In this provocative book, Jean Hardisty details the formation of right-wing movements in opposition to the struggle for expansion of rights for women, people of color, and lesbians and gays. Her own experiences spanning three decades as both an activist and observer undergird her analysis in riveting ways. We see her in a stadium filled with Promise Keepers, watching thousands of men pledge in unison to take control of their families, with a mixture of awe, fear, and a lucid understanding of what draws people to such charismatic events.
Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces. In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.
With more than 1800 critical entries on the writers and literatures of 33 languages, this work presents the entire range of modern European writing -- from the symbolist and modernist works rooted in the last decades of the nineteenth century; through the avant-garde and existentialist movement to Barthes, Blanchot, Breton, and continental thought pertinent today.
One of the most influential figures in documentary and ethnographic filmmaking, Jean Rouch has made more than one hundred films in West Africa and France. In such acclaimed works as Jaguar, The Lion Hunters, and Cocorico, Monsieur Poulet, Rouch has explored racism, colonialism, African modernity, religious ritual, and music. He pioneered numerous film techniques and technologies, and in the process inspired generations of filmmakers, from New Wave directors, who emulated his cinema verite style, to today's documentarians. Cine-Ethnography is a long-overdue English-language resource that collects Rouch's key writings, interviews, and other materials that distill his thinking on filmmaking, ethnography, and his own career. Editor Steven Feld opens with a concise overview of Rouch's career, highlighting the themes found throughout his work. In the four essays that follow, Rouch discusses the ethnographic film as a genre, the history of African cinema, his experiences of filmmaking among the Songhay, and the intertwined histories of French colonialism, anthropology, and cinema. And in four interviews, Rouch thoughtfully reflects on each of his films, as well as his artistic, intellectual, and political concerns. Cine-Ethnography also contains an annotated transcript of Chronicle of a Summer--one of Rouch's most important works--along with commentary by the filmmakers, and concludes with a complete, annotated filmography and a bibliography. The most thorough resource on Rouch available in any language, Cine-Ethnography makes clear this remarkable and still vital filmmaker's major role in the history of documentary cinema.
This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics. The book is addressed to graduate students in mathematics or control theory, and to mathematicians or engineers with an interest in nonlinear control systems governed by ordinary or partial differential equations.
The Collection of ICC Arbitral Awards 2012-2015 contains extracts of cases handled by the ICC Court of Arbitration, one of the world's most respected arbitral institutions. This most recent collection supplements six previous and successful volumes containing awards from the periods 1974-1985, 1986-1990, 1991-1995, 1996-2000, 2001-2007 and 2008-2011. This collection is a practical reference tool, containing three types of useful indexes incorporating information from all three volumes: – a consolidated analytical table, in both English and French, contains extensive cross-references based on the terminology used in awards and case notes; – a chronological index lists the awards; – a key word index, also provided in both languages, allows the reader to locate the material of interest quickly and easily. In addition to providing a wealth of information in a highly accessible manner, this book includes case notes end expert commentaries on the awards. This publication is an indispensable reference work for anyone interested in international arbitration and in the reasoning of international arbitrators on the interpretation and application of contractual clauses, international conventions, and the law of international trade. It is invaluable to both scholars and practitioners involved in the drafting and negotiation of international commercial contracts and the resolution of international commercial disputes.
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