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This textbook provides an elementary introduction to hypergeometric functions, which generalize the usual elementary functions. It includes plenty of solved exercises and it is appropriate for a wide audience, starting from undergraduate students in mathematics, physics and engineering. Since the presented functions are limited to hypergeometric functions of a real variable, the only prerequisites are the basics of real analysis.

This book introduces several powerful techniques and fundamental ideas involving block matrices of operators, as well as matrices with elements in a C*-algebra. These techniques allow for the solution of problems that may be difficult to treat. Specifically, 2×2 operator matrices yield significant mathematical inequalities in various fields of operator theory and matrix analysis. The authors employ block matrices to simplify complicated problems. Operator matrices have garnered attention for their applications in quantum information and computing theories.Each chapter concludes with a diverse set of exercises and problems for readers, along with references to relevant literature. Some problems pose open questions, while others challenge readers and provide suggestions for future research. This book is suitable for an advanced undergraduate or graduate course and can be used in the classroom. It also serves as a valuable resource for researchers and students in mathematics and physics who have a basic understanding of linear algebra, functional analysis, and operator theory.

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains (Birkhäuser, 2010), this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone, and another about the existence of bounded weak solutions.Researchers and advanced graduate students will appreciate this compact compilation of new material in the field.

The Doldertal, a small valley in the north of the city of Zurich, is best known in the history of architecture as the residence of Swiss architectural theorist Sigfried Giedion, whose book "Space, Time and Architecture" (1941) is considered a landmark in the historiography of modernity. In 1936, Giedion commissions two houses designed by Alfred Roth and Marcel Breuer - known as the Doldertal Apartment Houses - which to this day remain among the most important works of Neues Bauen in Switzerland. In 1959, the architect couple Flora Steiger-Crawford and Ruedi Steiger build their own homestead in the Doldertal - in immediate proximity to the Doldertal Apartment Houses. Crawford and Steiger are important representatives of the Swiss avant-garde; moreover, Flora Crawford is the first woman to receive a diploma in architecture from ETH Zurich. That same year, Alfred Roth designs another building, the Fellowhouse, right next to House Steiger. "House Steiger 1959: Flora Steiger-Crawford and Rudolf Steiger" for the first time offers an in-depth look at the genesis of this masterpiece of modern Swiss architecture. Detailed analyses illustrate the central layout and outline the chronology, typology and construction of the building. Further contributions illuminate the relationship to local typography, the cultural context of the building, as well as important historical and contemporary architectural references, including House Steiger's famous neighbors.

In the history of graphic design, the film poster has repeatedly exemplified graphic innovation. The first constructivist posters by the Stenberg brothers challenged viewing habits in the late 1920s, as did the radical, succinct film advertisements by Jan Tschichold. The Polish school of poster art, with exponents such as Henryk Tomaszewski and Roman Cieslewicz, produced iconic film posters in the postwar era, and Cuban designers, including Antonio Reboiro and Ñiko, followed suit after 1959. Simultaneously, in the former Czechoslovakia, the likes of Milan Grygar, Karel Vaca and Josef Vylet'al helped the film poster gain international recognition. In all three countries, the lack of economic pressure allowed such creative power to flourish. In Germany, film distributors such as Neue Filmkunst Walter Kirchner or Atlas-Film prompted a new aesthetic by commissioning Hans Hillmann or Dorothea Fischer-Nosbisch.The works presented in this publication illustrate an alternative to the Hollywood film poster with its canonical motifs and pompous spectacle. The unorthodox visual language of these "other" film posters largely dispenses with star portraits and film stills. Subtly poetic, and often ambiguous, films are interpreted individually, the visual material is creatively defamiliarized and the content consolidated into symbols. Up to this day, individual designers continue to celebrate the film poster as an autonomous artistic medium.

As humanity grapples with the escalating challenges of climate change, the discipline of architecture finds itself at a critical juncture. The urgency of the situation demands that schools of architecture not only contribute to envisioning more serene futures but also equip the next generation of architects with the audacity to question, project, criticize, explore and imagine alternative solutions.Architectural research is in re/action to this climate crisis. "Transcalar Prospects in Climate Crisis" offers a vital compilation of research projects and essays reflecting the investigative efforts at EPFL Architecture. Addressing critical issues like material uses, land and soil degradation, environmental justice and circular urban flows, the book brings together diverse, entangled perspectives and transcalar vantage points. It navigates complex factors such as comfort, standards, profit and individual needs, across a wide ecological spectrum. The book is a must-read for architects, urban planners, designers, scholars, and anyone seeking knowledge and inspiration for climate action, urging a conscious and critical, transcalar response to one of the most pressing issues of our time.

The Delos Symposia, which ran from 1963 to 1975, were a groundbreaking series of events dedicated to rethinking and reshaping the built environment to solve the planet's environmental and demographic problems. Choreographed around the charismatic Greek architect-planner Constantinos Doxiadis, and generating an entirely new "science of human settlements" called "Ekistics," this ambitious endeavour was run according to ancient Greek practices of the "sympósion", with banquets, dancing and fancy dress parties taking place aboard cruise ships in the Aegean Sea. Each symposium concluded at the island-city of Delos, where influential figures as diverse as Margaret Mead, Arnold Toynbee, Siegfried Giedion, Buckminster Fuller, Barbara Ward, Jean Gottmann, Kenzo Tange, Jaqueline Tyrwhitt and Marshall McLuhan would formally proceed to the ancient amphitheater and participate in ceremonial declarations on world issues."The Delos Symposia and Doxiadis" offers the first comprehensive appraisal of the history and legacy of the Delos Symposia not only as a global humanitarian network, but also as an intellectual theater and publicity machine. It explores their ideals, commitments and fights, the way they fed into the colossal urban planning projects that Doxiadis was implementing across the world, and the lessons they might offer for contemporary thinking on sustainable development.

Kenya Hara inspires the world with his impeccable design - from the subtle atmospheres and environments he creates as the art director of Muji, to his ethereal exhibition designs, to his simple everyday objects, packaging and books. His design aesthetic can be traced back to a private practice: the diligent drafting of ideas and forms in delicate sketches and drawings which ultimately develop into convincing solutions.For the first time in his career, Kenya Hara gives insight into the captivating early stages of his design process. Ranging from tentatively sketched beginnings to confident designs of complex concepts, "Draw" immerses readers in the renowned designer's forty-year-long process of sketching and drawing by hand, leaving no doubt about the origins of his authentic designs. Set to inspire the next generation of creatives, the book can be read as a gentle, persuasive call for the return to analogue processes in the design cycle.

Seit über einem Jahrzehnt entwirft das in Brooklyn ansässige Architekturbüro SO-IL Häuser, Wohnungen und andere Projekte, die sich zwischen und neben privaten Wohnräumen bewegen. SO-IL nähert sich diesen Orten mit grosser Experimentierfreude und überdenkt somit den heutigen Zustand des Wohnraumdesigns, der oftmals durch wirtschaftliche Bedingungen unter Druck gesetzt wird. In diesem Buch rücken die Versuche des Architekturbüros, diese Codes, Kerne, Höfe und Korridore zu «hacken» in den Mittelpunkt. «In Depth» untersucht anhand So-Ils jüngster Projekte, wie Wohnungen das Wohlbefinden ihrer Bewohner:innen fördern können, präsentiert neue Typologien für unsere immer stärker urbanisierte Welt und richtet sich damit zugleich an Studierende und Fachleute.

Diese Publikation dokumentiert eine Reihe von ambitionierten, gross angelegten Projekten, die Christian Moeller zwischen 2004 und 2023 im öffentlichen Raum erzeugt hat. Während dieser Zeit durchlief die Praxis des Künstlers eine beträchtliche Neuausrichtung. Indem er auf seine frühere Selbstbezeichnung als «Medienarchitekt» verzichtete, begann Moeller den Stellenwert der Informationstechnologie in seinem Werk zu senken und fing stattdessen an, die malerischen und bildhauerischen Aspekte davon zu betonen. Die Werke in diesem Band beruhen auf der scharfen Beobachtung von gesellschaftlichen Prozessen, oft mit ihrer spielerischen Zerstörung als Ziel. Sie fügen sich in ihre Umgebung ein und heben sich zugleich davon ab und bieten der Öffentlichkeit somit eine willkommene Abwechslung vom Arbeitsalltag. «Open Encounters» gibt einen umfassenden, grosszügig illustrierten Überblick über eine hochproduktive Phase von Moellers Tätigkeit. Das Buch beinhaltet einen karriereumspannenden Essay und laufende Kommentare zu einzelnen Werken von Jan Tumlir sowie Texte von Harriet F. Senie, Cath Brunner, Tim Griffin und Christian Moeller selbst.

This book, originating from a seminar held at Oberwolfach in 2022, introduces to state-of-the-art methods and results in the study of free boundary problems which are arising from compressible as well as from incompressible Euler¿s equations in general. A particular set of such problems is given by gaseous stars considered in a vacuum (modeled via the compressible Euler equations) as well as water waves in their full generality (seen as recasts of incompressible irrotational Euler equations). This is a broad research area which is highly relevant to many real life problems, and in which substantial progress has been made in the last decade.

This textbook offers an introduction to topics in algorithms and programming with python. It is originally intended for mathematical students not sufficiently aware about these computer science fields seeking a deeper understanding. It addresses fundamental questions on how to analyze the performance of an algorithm and equips readers with the skills to implement them using python.The textbook is organized in two parts. Part I introduces Python Programming offering a solid foundation to python essentials. Topics covered include first steps in python programming, programs, functions and recursion, data structures. Part II shifts focus to Algorithms and covers topics such as algorithm performance, recursion, the sorting problem, trees as data structures, etc.This book has its origins from several different courses given in the context of thematic schools to diverse audiences in different countries over the years. These countries include Cambodia, Kenya, and Madagascar.

This innovative textbook presents material for a course on industrial statistics that incorporates Python as a pedagogical and practical resource. Drawing on many years of teaching and conducting research in various applied and industrial settings, the authors have carefully tailored the text to provide an ideal balance of theory and practical applications. Numerous examples and case studies are incorporated throughout, and comprehensive Python applications are illustrated in detail. A custom Python package is available for download, allowing students to reproduce these examples and explore others.The first chapters of the text focus on the basic tools and principles of process control, methods of statistical process control (SPC), and multivariate SPC. Next, the authors explore the design and analysis of experiments, quality control and the Quality by Design approach, computer experiments, and cyber manufacturing and digital twins. The text then goes on to cover reliability analysis, accelerated life testing, and Bayesian reliability estimation and prediction. A final chapter considers sampling techniques and measures of inspection effectiveness. Each chapter includes exercises, data sets, and applications to supplement learning.Industrial Statistics: A Computer-Based Approach with Python is intended for a one- or two-semester advanced undergraduate or graduate course. In addition, it can be used in focused workshops combining theory, applications, and Python implementations. Researchers, practitioners, and data scientists will also find it to be a useful resource with the numerous applications and case studies that are included.A second, closely related textbook is titled Modern Statistics: A Computer-Based Approach with Python. It covers topics such as probability models and distribution functions, statistical inference and bootstrapping, time series analysis and predictions,and supervised and unsupervised learning. These texts can be used independently or for consecutive courses.The mistat Python package can be accessed at https://gedeck.github.io/mistat-code-solutions/IndustrialStatistics/."This book is part of an impressive and extensive write up enterprise (roughly 1,000 pages!) which led to two books published by Birkhäuser. This book is on Industrial Statistics, an area in which the authors are recognized as major experts. The book combines classical methods (never to be forgotten!) and "hot topics" like cyber manufacturing, digital twins, A/B testing and Bayesian reliability. It is written in a very accessible style, focusing not only on HOW the methods are used, but also on WHY. In particular, the use of Python, throughout the book is highly appreciated. Python is probably the most important programming language used in modern analytics. The authors are warmly thanked for providing such a state-of-the-art book. It provides a comprehensive illustration of methods and examples based on the authors longstanding experience, and accessible code for learning and reusing in classrooms and on-site applications."Professor Fabrizio RuggeriResearch Director at the National Research Council, ItalyPresident of the International Society for Business and Industrial Statistics (ISBIS)Editor-in-Chief of Applied Stochastic Models in Business and Industry (ASMBI)

Was it necessary for a 17th century painter to know principles of optics to hide a skull in one of his masterpieces? Is it possible the violent deaths of Roman emperors obey a statistical law? Are there connections between market trends and geometry? How did Islamic artists draw almost perfectly regular nine-sided polygons, when these cannot be traced with the use of compasses? Dirk Huylebrouk asks these and other exciting questions in this collection of essays, originally written for the science magazine EOS, a Dutch equivalent of Scientific American, distributed in Belgium and in The Netherlands. Every chapter can be read independently, as some subjects are repeated, and not strictly interconnected. Such is the case for instance of the golden section, an often-recurring topic in general mathematics. The reader will appreciate the original point of view expressed through each chapter, which makes this book stand out against the general information one can find by browsing the general media. The subtly provocative character of some parts is meant to stimulate the reader for further exploration. The book's title itself may already generate surprise. Sure, to many, mathematics seems to come from hell, but the darkness in the title in fact refers to the lugubrious stories about math and skulls, murders or World War II. There is also a more down-to-earth part is about math and maps, money, Facebook, folding paper, shapes in ice and the most earthly yet unsolved math problems. ¿Bright mathematics¿ alludes to Vedic, Islam, New Age, a meta-divine section, and is concluded by an interview with a top mathematician who also wrote about the existence of God.

This textbook offers a uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing literature. The book can be used for a single semester course and/or for independent study. It demonstrates that covering spaces provide a suitable and modern setting for studying the structure of flows on compact surfaces. The thoughtful treatment of flows on surfaces uses topology (especially covering spaces), the classification of compact surfaces, and Euclidean and hyperbolic rigid motions to establish structural theorems that describe flows on surfaces generally. Several of the topics from dynamical systems that appear in this book (e.g., fixed points, invariant sets, orbits, almost periodic points) also appear in the many subareas of dynamical systems. The book successfully presents the reader with a self-contained introduction to dynamical systems or an expansion of one's existing knowledge of the field. Prerequisites include completion of a graduate-level topology course; a background in dynamical systems is not assumed.

This textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry. Including a wealth of examples and exercises, this textbook guides the reader in helping to determine the convex sets that can be represented and approximated as spectrahedra and their shadows (projections). Several general results obtained in the last 15 years by a variety of different methods are presented in the book, along with the necessary background from algebra and geometry.

This textbook focuses on the study of different kinds of elementary functions ubiquitous both in high school Algebra and Calculus. To analyze the functions ranging from polynomial to trigonometric ones, it uses rudimentary techniques available to high school students, and at the same time follows the mathematical rigor appropriate for university level courses.Contrary to other books of Pre-Calculus, this textbook emphasizes the study of elementary functions with rigor appropriate for university level courses in mathematics, although the exposition is confined to the pre-limit topics and techniques. This makes the book useful, on the one hand, as an introduction to mathematical reasoning and methods of proofs in mathematical analysis, and on the other hand, as a preparatory course on the properties of different kinds of elementary functions.The textbook is aimed at university freshmen and high-school students interested in learning strict mathematical reasoning and in preparing a solid base for subsequent study of elementary functions at advanced level of Calculus and Analysis. The required prerequisites correspond to the level of the high school Algebra. All the preliminary concepts and results related to the elementary functions are covered in the initial part of the text. This makes the textbook suitable for both classroom use and self-study.

This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully examine some of the most important topics in the area, including Nagata, F-finite and excellent rings, Bertini¿s Theorem, and Cohen factorizations. Of particular interest is the presentation of Popescüs Theorem on Neron Desingularization and the structure of regular morphisms, with a complete proof. Classes of Good Noetherian Rings will be an invaluable resource for researchers in commutative algebra, algebraic and arithmetic geometry, and number theory.

This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach.The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing.The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.