These two volumes contain all the papers published by Hans Rademacher, either alone or as joint author, essentially in chronological order. Included also are a collection of published abstracts, a number of papers that appeared in institutes and seminars but are only now being formally published, and several problems posed and/or solved by Rademacher. The editor has provided notes for each paper, offering comments and making corrections. He has also contributed a biographical sketch. The earlier papers are on real variables, measurability, convergence factors, and Euler summability of series. This phase of Rademacher's work culminates in a paper of 1922, in which he introduced the systems of orthogonal functions now known as the Rademacher functions. After this, a new period in Rademacher's career began, and his major effort was devoted to the theory of functions of a complex variable and number theory. Some of his most important contributions were made in these fields. He perfected the sieve method and used it skillfully in the study of algebraic number fields; he studied the additive prime number theory of these fields; he generalized Goldbach's Problem; and he began his work on the theory of the Riemann zeta function, modular functions, and Dedekind sums (now often&-and justly&-called Dedekind-Rademacher sums). To this period also becomes what has become known as the Rademacher-Brauer formula. Rademacher came to the United States as a refugee in 1934. In the years that followed, he obtained some of his most important results in connection with the Fourier coefficients of modular forms of positive dimensions. His general method may be considered a modification and improvement of the Hardy-Ramanujan-Littlewood circle method. He also published additional papers on Dedekind-Rademacher sums (with A. Whiteman), general number theory (with H. S. Zuckerman), and modular functions (also with Zuckerman). During the last decade of his life&-the 1960s&-he continued his work on these problems and devoted considerable attention to general analysis&-especially harmonic analysis&-and to analytic number theory. All of the papers in Volume I and ten of those in Volume II are in German. One paper is in Hungarian. The volumes are part of the MIT Press series Mathematicians of Our Time (Gian-Carlo Rota, general editor).
These two volumes contain all the papers published by Hans Rademacher, either alone or as joint author, essentially in chronological order. Included also are a collection of published abstracts, a number of papers that appeared in institutes and seminars but are only now being formally published, and several problems posed and/or solved by Rademacher. The editor has provided notes for each paper, offering comments and making corrections. He has also contributed a biographical sketch. The earlier papers are on real variables, measurability, convergence factors, and Euler summability of series. This phase of Rademacher's work culminates in a paper of 1922, in which he introduced the systems of orthogonal functions now known as the Rademacher functions. After this, a new period in Rademacher's career began, and his major effort was devoted to the theory of functions of a complex variable and number theory. Some of his most important contributions were made in these fields. He perfected the sieve method and used it skillfully in the study of algebraic number fields; he studied the additive prime number theory of these fields; he generalized Goldbach's Problem; and he began his work on the theory of the Riemann zeta function, modular functions, and Dedekind sums (now often&-and justly&-called Dedekind-Rademacher sums). To this period also becomes what has become known as the Rademacher-Brauer formula. Rademacher came to the United States as a refugee in 1934. In the years that followed, he obtained some of his most important results in connection with the Fourier coefficients of modular forms of positive dimensions. His general method may be considered a modification and improvement of the Hardy-Ramanujan-Littlewood circle method. He also published additional papers on Dedekind-Rademacher sums (with A. Whiteman), general number theory (with H. S. Zuckerman), and modular functions (also with Zuckerman). During the last decade of his life&-the 1960s&-he continued his work on these problems and devoted considerable attention to general analysis&-especially harmonic analysis&-and to analytic number theory. All of the papers in Volume I and ten of those in Volume II are in German. One paper is in Hungarian. The volumes are part of the MIT Press series Mathematicians of Our Time (Gian-Carlo Rota, general editor).
This book contains papers presented at the Hans Rademacher Centenary Conference, held at Pennsylvania State University in July 1992. The astonishing breadth of Rademacher's mathematical interests is well represented in this volume. The papers collected here range over such topics as modular forms, partitions and q$ series, Dedekind sums, and Ramanujan type identities. Rounding out the volume is the opening paper, which presents a biography of Rademacher. This volume is a fitting tribute to a remarkable mathematician whose work continues to influence mathematics today.
These notes from Hans Rademacher's 1963 Hedrick Lectures have been gently polished and augmented by Emil Grosswald. While the topic itself is specialized, these sums are linked in diverse ways to many results in number theory, elliptical modular functions, and topology. The first main result is a surprising reciprocity law that is equivalent to the law of quadratic reciprocity.
The classic book that shares the enjoyment of mathematics with readers of all skill levels What is so special about the number 30? Do the prime numbers go on forever? Are there more whole numbers than even numbers? The Enjoyment of Math explores these and other captivating problems and puzzles, introducing readers to some of the most fundamental ideas in mathematics. Written by two eminent mathematicians and requiring only a background in plane geometry and elementary algebra, this delightful book covers topics such as the theory of sets, the four-color problem, regular polyhedrons, Euler’s proof of the infinitude of prime numbers, and curves of constant breadth. Along the way, it discusses the history behind the problems, carefully explaining how each has arisen and, in some cases, how to resolve it. With an incisive foreword by Alex Kontorovich, this Princeton Science Library edition shares the enjoyment of math with a new generation of readers.
This title was first published in 2001. The emergence of the European Works Councils (EWCs) is one of the most important developments in international industrial relations and the most significant intervention by the European Union in the industrial relations field. This volume is the second of three studies into the establishment and operation of EWCs conducted by the authors. It examines the development of a typology of EWCs and explores the prospects for establishing networks of EWCs, using case studies drawn from the food, banking and insurance sectors. The book is an informative text for researchers, academics and practitioners who wish to locate empirical material and practical experience in a developmental and theoretical framework.
This text by a noted pair of experts is regarded as the definitive work on sieve methods. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications. 1974 edition.
Connections define the functions of neurons: information flows along connections, as well as growth factors and viruses, and even neuronal death can progress through connections. Accordingly, knowing how the various parts of the brain are interconnected to form functional systems is a prerequisite for properly understanding data from all fields in the neurosciences. Clinical Neuroanatomy: Brain Circuitry and Its Disorders bridges the gap between neuroanatomy and clinical neurology. It focuses on human and primate data in the context of brain circuitry disorders, which are so common in neurological practice. In addition, numerous clinical cases are presented to demonstrate how normal brain circuitry can be interrupted, and what the effects are. Following an introduction to the organization and vascularization of the human brain and the techniques used to study brain circuitry, the main neurofunctional systems are discussed, including the somatosensory, auditory, visual, motor, autonomic and limbic systems, the cerebral cortex and complex cerebral functions. In this 2nd edition, apart from a general updating, many new illustrations have been added and more emphasis is placed on modern techniques such as diffusion magnetic resonance imaging (dMRI) and network analysis. Moreover, a developmental ontology based on the prosomeric model is applied, resulting in a more modern subdivision of the brain. The new edition of Clinical Neuroanatomy is primarily intended for neurologists, neuroradiologists and neuropathologists, as well as residents in these fields, but will also appeal to (neuro)anatomists and all those whose work involves human brain mapping.
Based on the drivers of the development of logistics, the success factors of logistics management in excellent companies are analyzed. Logistics management in and between companies requires a change in thinking on the operational as well as on the strategic and normative level of action. The functions of logistics management are explained in detail and discussed with regard to their design. The explanations are based on the presentation of the interplay of the normative, strategic and operational levels of action and the contribution of logistics to the achievement of corporate objectives. Essential building blocks for the implementation of the logistics concept are strategic logistics planning and logistics controlling. In addition to the organizational and operational issues, supply chain management is becoming increasingly important for the interorganizational realization of the logistics concept: because it is precisely from cooperation and collaboration that additional potential for sustainable value enhancement of the company through logistics arises. In order to exploit these potentials, it is important to promote suitable employees in a targeted manner. Therefore, the book concludes with a consideration of the special aspects of personnel management in logistics. On the one hand, the book addresses the practitioner who wants to profitably implement the concepts presented here. On the other hand, it is aimed at lecturers at universities, colleges and academies to support their courses. Students who are interested in the management-related issues of logistics will receive valuable information for their studies and future professional activities.
Progress in developmental neurobiology and advances in (neuro) genetics have been spectacular. The high resolution of modern imaging techniques applicable to developmental disorders of the human brain and spinal cord have created a novel insight into the developmental history of the central nervous system (CNS). This book provides a comprehensive overview of the development of the human CNS in the context of its many developmental disorders. It provides a unique combination of data from human embryology, animal research and developmental neuropathology, and there are more than 400 figures in over a hundred separate illustrations.
Engrossing journey through the workings of the universe and minds of today’s scientific thinkers examines an extraordinary range of topics—from the Superconducting Super Collider and the mysteries of the Big Bang, to strange crystals with impossible structures and the quest for the temperature of absolute zero. A richly satisfying work teeming with the drama of scientific research and the thrill of discovery will appeal to scientists and laypeople alike.
A surge of new molding technologies is transforming plastics processing and material forms to the highly efficient, integrated manufacturing that will set industry standards in the early years of this century. This book is a survey of these technologies, putting them into context and accentuating opportunities. The relations among these technologies are analyzed in terms of products, materials, processing, and geometry.
Advanced undergraduate-level text discusses theorems on topics restricted to the plane, such as convexity, coverings, and graphs. Two-part treatment begins with specific topics followed by an extensive selection of short proofs. 1964 edition.
Poverty is deep and widespread in Honduras. This is especially the case in the hillside areas-home to one-third of the country's population, the majority of whom earn their living through agriculture. While both policymakers and donors are under strong pressure to provide adequate interventions, they require guidance on what drives sustainable rural productivity growth, how to prioritize expenditures, and how to formulate effective development strategies. In this report, the authors develop an integrated econometric framework, based on the livelihoods concept, and demonstrate how it can be used as a policy targeting tool. Using this framework, the authors provide policymakers and stakeholders with empirical information on the livelihood strategies currently employed in the hillside areas of Honduras, existing opportunities for alleviating poverty, and potential priorities for policy and investments.
In this monograph the narrow topology on random probability measures on Polish spaces is investigated in a thorough and comprehensive way. As a special feature, no additional assumptions on the probability space in the background, such as completeness or a countable generated algebra, are made. One of the main results is a direct proof of the rando
This title was first published in 2002: Negotiated Europeanisation is the final study in a three-volume series on European Works Councils by an international research group. The first two studies have already been published by Ashgate. The current study is rooted in an analysis of the establishment of EWCs under Articles 5 and 6 of the 1994 EWC Directive. This is now a mandatory procedure and completes the development of EWCs from bodies set up purely by voluntary negotiation to bodies set up within a binding statutory procedure. The study is based on cases of five (named) major European firms in a variety of industrial sectors. As well as a detailed consideration of how negotiations using the mandatory procedure took place, there are more general reflections on the 'quality' of the actors involved, the negotiating process and the outcomes. As well as their analytical value, these observations offer a number of practical pointers on the establishment of information and consultation arrangements internationally. The study also asks why EWCs have been set up in only one third of eligible companies and why the pace of establishing new EWCs slowed after the mandatory procedure came into force in September 1996. This part of the study is based upon a pan-European questionnaire and offers the first empirical findings on this issue. European Works Councils exemplify a new mode of regulation at the European level, not only within industrial relations but in the field of European integration more widely conceived - Europe as a multi-level system of governance within a framework of devolved subsidiarity. This study is of both academic and practical interest, particularly in view of the continuing process of change in this area, exemplified in new Directives on the European Company Statute and information and consultation at national level.
This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students with instructive problems along with problem-solving strategies. Programming problems with solutions are also included.
Social postmodernism and systematic theology can be considered the new pair in some of the most creative discussions on the future of theological method on a global scale. Both in the academy and in the public square, as well as in the manifold local and pastoral moments of ministry and community social activism, the social, the postmodern, and the theological intermingle in engaging and border-crossing ways. The Community of the Weak presents a new kind of jazzy fundamental theology with a postmodern touch, using jazz as a metaphor, writing ethnographically messy texts out of the personal windows of lived experiences, combining fragments of autobiography with theological reconstruction. A comparative perspective on North American and European developments in contemporary systematic theology serves as a hermeneutical horizon to juxtapose two continents in their very different contexts. The author proposes a systematic and fundamental theology that is more jazzy, global, and narrative, deeply embedded in pastoral ministry to tell its postmodern story.
Roman Capaul, Hans Seitz and Martin Keller have developed their own school management model based on their many years of experience in the training of school management members and on the basis of the St. Gallen management model. Their work shows the reader fundamental connections, answers the central questions of school management and school development and contains numerous practical recommendations for action for everyday school management.
The submersed cultivation of organisms in sterile containments or fermenters has become the standard manufacturing procedure, and will remain the gold standard for some time to come. This book thus addresses submersed cell culture and fermentation and its importance for the manufacturing industry. It goes beyond expression systems and integrally investigates all those factors relevant for manufacturing using suspension cultures. In so doing, the contributions cover all industrial cultivation methods in a comprehensive and comparative manner, with most of the authors coming from the industry itself. Depending on the maturity of the technology, the chapters address in turn the expression system, basic process design, key factors affecting process economics, plant and bioreactor design, and regulatory aspects.
This is an excellent, well-written and very comprehensive book covering many topics of mathematics and physics. An exhaustive collection of problems with detailed solutions that may be valuable to students and young researchers in several fields, ranging from Mathematics to Quantum Physics is presented … I found the book helpful in regards to several subjects that are not covered in other mathematical physics introductory textbooks.'Contemporary PhysicsThis updated and extended edition of the book combines the topics provided in the two parts of the previous editions as well as new topics. It is a comprehensive compilation covering most areas in mathematical and theoretical physics. The book provides a collection of problems together with their detailed solutions which will prove to be valuable to students as well as to researchers in the fields of mathematics, physics, engineering and other sciences.Each chapter provides a short introduction with the relevant definitions and notations. All relevant definitions are given. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Stimulating supplementary problems are also provided in each chapter. Students can learn important principles and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques are developed in the problems. Introductory problems for both undergraduate and advanced undergraduate students are provided. More advanced problems together with their detailed solutions are collected, to meet the needs of graduate students and researchers. Problems included cover new fields in theoretical and mathematical physics such as tensor product, Lax representation, Bäcklund transformation, soliton equations, Hilbert space theory, uncertainty relation, entanglement, spin systems, Lie groups, Bose system, Fermi systems differential forms, Lie algebra valued differential forms, metric tensor fields, Hirota technique, Painlevé test, Bethe ansatz, Yang-Baxter relation, wavelets, gauge theory, differential geometry, string theory, chaos, fractals, complexity, ergodic theory, etc. A number of software implementations are also provided.
The Nazi Party and the German Foreign Office explores the struggle between entrenched diplomats in the Foreign Office and Party loyalists, who presumed that with the assumption of power in 1933 total state control was theirs.
A comprehensive survey of the topic, ranging from basic molecular research to clinical applications. Critical reviews by leading experts in each field summarize the state of knowledge and discuss the anticipated benefits of novel approaches and strategies. These include the impact of modern analysis techniques on glycobiology, the use of synthetic neoglycoproteins, or the clinical consequences of new insights into the physiological role of lectins and glycoconjugates in pathology, oncology, immunity, neuroscience and reproduction medicine. Throughout, the aim is to separate realistic applications from mere hopes.
Higher mathematics" once pointed towards the involvement of infinity. This we label analysis. The ancient Greeks had helped it to a first high point when they mastered the infinite. The book traces the history of analysis along the risky route of serial procedures through antiquity. It took quite long for this type of mathematics to revive in our region. When and where it did, infinite series proved the driving force. Not until a good two millennia had gone by, would analysis head towards Greek rigor again. To follow all that trial, error and final accomplishment, is more than studying history: It provides touching, worthwhile access to advanced calculus. Moreover, some steps beyond convergence show infinite series to naturally fit a wider frame.
This book provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. All modern fields in Theoretical and Mathematical Physics are covered. It is the only book which covers all the new techniques and methods in theoretical and mathematical physics.Third edition updated with: Exercises in: Hilbert space theory, Lie groups, Matrix-valued differential forms, Bose-Fermi operators and string theory. All other chapters have been updated with new problems and materials. Most chapters contain an introduction to the subject discussed in the text.
This book leaves the conventional view of chemical structures far behind: it demonstrates how a wealth of valuable, but hitherto unused information can be extracted from available structural data. For example, a single structure determination does not reveal much about a reaction pathway, but a sufficiently large number of comparable structures does. Finding the 'right' question is as important as is the intelligent use of crystallographic databases. Contributions by F.H. Allen, T.L. Blundell, I.D. Brown, H.B. Bürgi, J.D. Dunitz, L. Leiserowitz and others, authoritatively discuss the structure correlation method as well as illustrative results in detail, covering such apparently unrelated subjects as * Bond strength relations in soldis * Crystal structure prediction * Reaction pathways of organic molecules * Ligand/receptor interactions and enzyme mechanisms This book will be useful to the academic and industrial reader alike. It offers both fundamental aspects and diverse applications of what will surely become a powerful branch of structural chemistry.
The aim of this book is to improve the understanding of forest dynamics and the sustainable management of forest ecosystems. How do tree crowns, trees or entire forest stands respond to thinning in the long term? What effect do tree species mixtures and multi-layering have on the productivity and stability of trees, stands or forest enterprises? How do tree and stand growth respond to stress factors such as climate change or air pollution? Furthermore, in the event that one has acquired knowledge about the effects of thinning, mixture and stress, how can one make that knowledge applicable to decision-making in forestry practice? The experimental designs, analytical methods, general relationships and models for answering questions of this kind are the focus of this book. Given the structures dealt with, which range from plant organs to the tree, stand and enterprise levels, and the processes analysed in a time frame of days or months to decades or even centuries, this book is directed at all readers interested in trees, forest stands and forest ecosystems. This work has been compiled for students, scientists, lecturers, forest planners, forest managers, and consultants.
Now, forty years since its original publication, Hans Kung's groundbreaking study--acclaimed as a model for ecumenical discussion--has become a classic work. Looking at the doctrine of justification as understood by the Protestant theologian Karl Barth in comparison to classic Roman Catholic theology, Kung found that the two had similar ideas about the main elements of justification. He argued there is fundamental agreement between Catholicism and Barth's doctrine and that the somewhat divergent viewpoints "would not warrant a division in the Church." This anniversary edition now features a new essay assessing Kung's work in light of contemporary ecumenical dialogues between Roman Catholics and Protestants.
Seeds are a vital part of life on earth. They are fundamental for plant reproduction, and many seeds play an important role in the diet of man and domestic and wild animals. Knowledge of the appearance of seeds - seed morphology - is of great importance to botany and seed identification in relation to: seed setting, quarantine work, forensic work, seed poisening, studies of seed dispersal, seed banks and archaeological studies.;This bibliography contains 3775 references and is divided in two parts: handbooks, and articles and monographs. In the latter the bibliographical reference is supplemented by information of importance to seed identificaiton: genera mentioned in articles, keys, descriptions, drawings, photograph, scanning electron micrographs, anatomy and chemical methods. The index of authors contains the names of an extensive number of authors, cited in the bibliography, and in the index of genera more than 3900 genera, described in one or more of the publications are cited.
This Open-Access-book explores diversity in its ambivalence. On the one side, we love to describe diversity as a resource for personal, social, economic, and cultural growth. On the other side, categories of differences often lead to discrimination or serve as justifications for privileges. They can cause exclusion and, conversely, promote the self-constitution of discriminated subjects and groups.The book moves within this tension of exclusion and belonging. Case studies of young ethnicized people vividly depict the interwovenness of identity-building and diversity. Theoretically, the book examines the psychosocial and anthropological conditions for constructing the Other. Sharp divisions between We and the Other, between social and national groups, and between humans and nature have devastating, life-threatening consequences. Dichotomous split-offs divide people, nations and the whole world. So, how do we deal with diversity? The author does not provide simple recipes but engages in a phenomenology of diversity that does not press life and its manifestations into categories but keeps them in a limbo of attention by affirming and doubting differences.
Der "Sewald/Jakubke" ist und bleibt das einzige moderne, auf dem neuesten wissenschaftlichen Stand gehaltene fortgeschrittene Lehrbuch der Peptid-Biochemie! Auch für diese zweite, um ein Viertel erweitere Auflage haben die Autoren Hunderte von Publikationen gelesen und zu einem informativen und vollständigen Überblick über das Fachgebiet zusammengefasst. Nach einer Einführung in die Grundlagen der Peptidstruktur und -synthese werden die wichtigsten Familien biologisch aktiver Peptide systematisch abgehandelt. Mit interdisziplinärem Anspruch werden dann wichtige Anwendungen aus der Biotechnologie, Pharmazie und Biomedizin besprochen. Selbstverständlich werden auch Themen der Spitzenforschung berücksichtigt, zum Beispiel Pseudopeptide, Peptidmimetika und Aspekte der kombinatorischen Synthese. -- Neu in dieser Auflage sind Fragen und Übungsaufgaben, die das Nacharbeiten von Vorlesungen oder das Selbststudium erleichtern.
Het Bataviaasch Genootschap van Kunsten en Wetenschappen, opgericht in 1778, is de voorloper van het Nationaal Museum en de Nationale Bibliotheek van de Republik Indonesia en geldt als de belangrijkste cultureel-wetenschappelijke organisatie van Nederlands-Indië in de VOC-tijd en de koloniale periode. In deze studie naar de vroege geschiedenis van deze eerbiedwaardige instelling komen aan de orde: de oprichting, het programma en het werkterrein van het genootschap, het ledenbestand en de leiding, groei, verval en wederopstanding, maar vooral de relatie tot de overheid van deze formeel private onderneming, die soms eerder een overheidsinstelling leek te worden. Het archief van het Genootschap, dat bewaard wordt in het Nationaal Archief van de Republik Indonesia, is hiertoe de belangrijkste bron geweest. Het is sinds 1878 nauwelijks beschikbaar geweest voor onderzoekers buiten de kring van het genootschap. Voor historici, linguïsten, antropologen, archeologen en anderen is het genootschapsarchief en de geschiedenis van het genootschap van groot belang.
The christianization of Central and Northern Europe, fundamental for the formation of the unity of our civilization was considered by earlier scholarship only in terms of what took place but not in terms of the official norms of the medieval church. On the other hand, the spiritual starting point of so-called “missionary objects” was left largely out of view. Consequently, anachronistic terms came in to use and actual facts became distorted. 26 Studies, published over more than 50 years in four different countries, discuss these problems especially against the background of Carolingian Saxony, and the Slavonic tribes between Germany and Poland, -most of whom may also be seen as the ancestors of modern-day Germans-, with special reference to the strange “Wendenkreuzzug” (Wendish crusade) of 1147.
At the time of Professor Rademacher's death early in 1969, there was available a complete manuscript of the present work. The editors had only to supply a few bibliographical references and to correct a few misprints and errors. No substantive changes were made in the manu script except in one or two places where references to additional material appeared; since this material was not found in Rademacher's papers, these references were deleted. The editors are grateful to Springer-Verlag for their helpfulness and courtesy. Rademacher started work on the present volume no later than 1944; he was still working on it at the inception of his final illness. It represents the parts of analytic number theory that were of greatest interest to him. The editors, his students, offer this work as homage to the memory of a great man to whom they, in common with all number theorists, owe a deep and lasting debt. E. Grosswald Temple University, Philadelphia, PA 19122, U.S.A. J. Lehner University of Pittsburgh, Pittsburgh, PA 15213 and National Bureau of Standards, Washington, DC 20234, U.S.A. M. Newman National Bureau of Standards, Washington, DC 20234, U.S.A. Contents I. Analytic tools Chapter 1. Bernoulli polynomials and Bernoulli numbers ....... . 1 1. The binomial coefficients ..................................... . 1 2. The Bernoulli polynomials .................................... . 4 3. Zeros of the Bernoulli polynomials ............................. . 7 4. The Bernoulli numbers ....................................... . 9 5. The von Staudt-Clausen theorem .............................. . 10 6. A multiplication formula for the Bernoulli polynomials ........... .
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