This authoritative book on periodic locally compact groups is divided into three parts: The first part covers the necessary background material on locally compact groups including the Chabauty topology on the space of closed subgroups of a locally compact group, its Sylow theory, and the introduction, classifi cation and use of inductively monothetic groups. The second part develops a general structure theory of locally compact near abelian groups, pointing out some of its connections with number theory and graph theory and illustrating it by a large exhibit of examples. Finally, the third part uses this theory for a complete, enlarged and novel presentation of Mukhin's pioneering work generalizing to locally compact groups Iwasawa's early investigations of the lattice of subgroups of abstract groups. Contents Part I: Background information on locally compact groups Locally compact spaces and groups Periodic locally compact groups and their Sylow theory Abelian periodic groups Scalar automorphisms and the mastergraph Inductively monothetic groups Part II: Near abelian groups The definition of near abelian groups Important consequences of the definitions Trivial near abelian groups The class of near abelian groups The Sylow structure of periodic nontrivial near abelian groups and their prime graphs A list of examples Part III: Applications Classifying topologically quasihamiltonian groups Locally compact groups with a modular subgroup lattice Strongly topologically quasihamiltonian groups

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceara, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceara, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Over the past two decades, investors from outside the motion picture industry have increasingly supplied equity to U.S. film productions. Today, these so-called co-financing arrangements are a common phenomenon in Hollywood. While the large studios usually carry out the operative tasks of movie production and distribution, the financiers as co-owners of the completed films have rights to the residual profits. Kay H. Hofmann analyzes the conflicts of interest and the organizational problems that may arise between the experienced major studios and investors with comparably low industry expertise. Guided by principal agent theory, the empirical analysis provides evidence for adverse selection and multiple aspects of moral hazard during production as well as distribution. Based on these findings, the author develops solutions that are not only relevant for current and future investors but also for studios and film producers who rely on the long-term availability of external funds.

When Gottfried Wilhelm Leibniz first arrived in Paris in 1672 he was a well-educated, sophisticated young diplomat who had yet to show any real sign of his latent mathematical abilities. Over his next four crowded, formative years, which Professor Hofmann analyses in detail, he grew to be one of the outstanding mathematicians of the age and to found the modern differential calculus. In Paris, Leibniz rapidly absorbed the advanced exact science of the day. During a short visit to London in 1673 he made a fruitful contact with Henry Oldenburg, the secretary of the Royal Society, who provided him with a wide miscellany of information regarding current British scientific activities. Returning to Paris, Leibniz achieved his own first creative discoveries, developing a method of integral transmutation' through which lie derived the 'arithmetical' quadrature of the circle by an infinite series. He also explored the theory of algebraic equations. Later, by codifying existing tangent and quadrature methods and expressing their algorithmic structure in a universal' notation, lie laid the foundation of formal 'Leibnizian' calculus.

Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian." Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two."

This richly illustrated book describes the use of interactive and dynamic graphics as part of multidimensional data analysis. Chapter topics include clustering, supervised classification, and working with missing values. A variety of plots and interaction methods are used in each analysis, often starting with brushing linked low-dimensional views and working up to manual manipulation of tours of several variables. The book is augmented by a wealth of online material.

This volume contains survey papers by the invited speakers at the Conference on Semigroup Theory and Its Applications which took place at Tulane University in April, 1994. The authors represent the leading areas of research in semigroup theory and its applications, both to other areas of mathematics and to areas outside mathematics. Included are papers by Gordon Preston surveying Clifford's work on Clifford semigroups and by John Rhodes tracing the influence of Clifford's work on current semigroup theory. Notable among the areas of application are the paper by Jean-Eric Pin on applications of other areas of mathematics to semigroup theory and the paper by the editors on an application of semigroup theory to theoretical computer science and mathematical logic. All workers in semigroup theory should find this volume invaluable.

In recent years, major social forces such as: ageing populations, social trends, migration patterns, and the globalization of economies, have reshaped social welfare policies and practices across the globe. Multinational corporations, NGOs, and other international organizations have begun to influence social policy at a national and local level. Among the many ramifications of these changes is that globalizing influences may hinder the ability of individual nation-states to effect policies that are beneficial to them on a local level. With contributions from thirteen countries worldwide, this collected work represents the first major comparative analysis on the effect of globalization on the international welfare state.

The Welfare State in Post-Industrial Society is divided into two major sections: the first draws from a number of leading social welfare researchers from diverse countries who point to the nation-state as case studies; highlighting how it goes about establishing and revising social welfare provisions. The second portion of the volume then moves to a more global perspective in its analysis and questioning of the impact of globalisation on citizenship, ageing and marketization.

With its integrative analyses of policy and practice in countries struggling to provide social welfare support for their needy populations, The Welfare State in Post-Industrial Society will become an important voice in the debate on social welfare.

It is a great pleasure and honor to be asked to participate in the translation of this important and historical volume on thoracic surgery and to provide this foreword. Martin Kirschner of Mannheim/Heidelberg was an early pioneer in thoracic and esophageal surgery. His operation for bypass of the esophagus using the entire stomach remains a standard of the surgical armamentarium to this date. The original Kirschner Textbook of Surgery was a standard in its day. We are fortunate that Professors H. Pichlmaier and F.W. Schildberg and other colleagues have provided us with this important modern successor of a classic textbook. The reader is rewarded by an extensive treatise which includes not only the most up to date techniques in pulmonary, esophageal, mediastinal, and chest wall (including breast) surgery but also provides an excellent perspective on the techniques used by pioneers in the field. Although some of these early techniques are not commonly used today, knowledge of their use and application broadens the capability of the thoracic surgeon. Changing times bring renewed problems with infectious diseases. Knowledge of the management of the pleural space and pulmonary infectious problems is a critical part of the education of the thoracic surgeon.

Der Almanach fur die Augenheilkunde 1973 fand uberall wohlwollende Aufnahme und war innerhalb eines Jahres weitgehend vergriffen. Das veranlasste Herausgeber und Verlag bereits 3 Jahre spater den nachsten, jetzt 5. Band dieser Reihe erscheinen zu lassen. Da auch dieser Fachalmanach fur die Augenheilkunde 1976 vor allem den in der Praxis tatigen Augenarzt uber den neu esten Stand auf besonders aktuellen oder speziellen Gebieten der Augenheilkunde informieren soll, wurde fur ihn erstmals der ubertitel Aktuelle Ophthalmologie gewahlt. Wiederum ist es gelungen, fur die vorliegenden 13 Abhandlungen promi- nente und besonders kompetente Autoren zu gewinnen. Ihre Darstellun- gen vermitteln einen dunn besondere Kenntnis der Materie abgerundeten uberblick und geben dabei vielfach auch eigene Ansichten und Auffassun- gen wieder, die auf grosser persoenlicher Erfahrung basieren. Teils um- fangreiche Literaturhinweise ermoeglichen dem naher Interessierten einen schnellen Zugang zu weiterem einschlagigem Schrifttum. Auch diesen Band beschliesst eine vom Herausgeber zusammengestellte Fragensammlung, die dem engagierten Leser die Moeglichkeit zur Selbstkontrolle neu erworbe- nen Wissens oder erweiterter Kenntnisse gibt und den wesentlichen Inhalt der einzelnen Abhandlungen noch einmal zusammenfasst. Es ist mir ein persoenliches Anliegen, allen Autoren, die durch ihre bereit- willige Mitwirkung das Erscheinen des Fachalmanachs fur die Augenheil- kunde 1976 ermoeglicht haben, auch an dieser Stelle fur ihre Muhe noch einmal sehr herzlich zu danken.

Diese fünfte deutsche Auflage enthält ein ganz neues Kapitel über van der Waerdens Permanenten-Vermutung, sowie weitere neue, originelle und elegante Beweise in anderen Kapiteln. Aus den Rezensionen: “… es ist fast unmöglich, ein Mathematikbuch zu schreiben, das von jedermann gelesen und genossen werden kann, aber Aigner und Ziegler gelingt diese Meisterleistung in virtuosem Stil. […] Dieses Buch erweist der Mathematik einen unschätzbaren Dienst, indem es Nicht-Mathematikern vorführt, was Mathematiker meinen, wenn sie über Schönheit sprechen.� Aus der Laudatio für den “Steele Prize for Mathematical Exposition� 2018 "Was hier vorliegt ist eine Sammlung von Beweisen, die in das von Paul Erdös immer wieder zitierte BUCH gehören, das vom lieben (?) Gott verwahrt wird und das die perfekten Beweise aller mathematischen Sätze enthält. Manchmal lässt der Herrgott auch einige von uns Sterblichen in das BUCH blicken, und die so resultierenden Geistesblitze erhellen den Mathematikeralltag mit eleganten Argumenten, überraschenden Zusammenhängen und unerwarteten Volten." www.mathematik.de, Mai 2002 "Eine einzigartige Sammlung eleganter mathematischer Beweise nach der Idee von Paul Erdös, verständlich geschrieben von exzellenten Mathematikern. Dieses Buch gibt anregende Lösungen mit Aha-Effekt, auch für Nicht-Mathematiker." www.vismath.de "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch! Erdös hatte die Idee DES BUCHES, in dem Gott die perfekten Beweise mathematischer Sätze eingeschrieben hat. Das hier gedruckte Buch will eine "very modest approximation" an dieses BUCH sein.... Das Buch von Aigner und Ziegler ist gelungen ..." Mathematische Semesterberichte, November 1999 "Wer (wie ich) bislang vergeblich versucht hat, einen Blick ins BUCH zu werfen, wird begierig in Aigners und Zieglers BUCH der Beweise schmökern." www.mathematik.de, Mai 2002

This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden's permanent conjecture, as well as additional, highly original and delightful proofs in other chapters. From the citation on the occasion of the 2018 "Steele Prize for Mathematical Exposition" "... It is almost impossible to write a mathematics book that can be read and enjoyed by people of all levels and backgrounds, yet Aigner and Ziegler accomplish this feat of exposition with virtuoso style. [...] This book does an invaluable service to mathematics, by illustrating for non-mathematicians what it is that mathematicians mean when they speak about beauty." From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. ... Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately and the proofs are brilliant. ..." LMS Newsletter, January 1999 "Martin Aigner and Gunter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdoes. The theorems are so fundamental, their proofs so elegant and the remaining open questions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... " SIGACT News, December 2011