Bücher veröffentlicht von Birkhauser Verlag AG

Accounting for approximately 10 % of the land mass of Planet Earth, the Antarctic is a Global Commons we collectively neglect. Far from being a pristine natural landscape, the continent is a contested territory which conceals resources that might prove irresistible in a world with ever increasing population growth. The 26 quadrillion tons of ice accumulated on its bedrock, equivalent to around 70 % of the fresh water on our planet, represent at once the most significant repository of scientific data available, providing crucial information for future environmental policies, and the greatest menace to global coastal settlements threatened by the rise in sea levels induced by anthropogenic global warming. ΓÇ£Antarctic ResolutionΓÇ¥ advocates the rejection of the pixelated view of Antarctica offered to us by Big Data companies and urges the construction of a high-resolution image focusing on the continentΓÇÖs unique geography, unparalleled scientific potential, contemporary geopolitical significance, experimental governance system, and extreme inhabitation model. Only the concerted determination of a transnational network of multidisciplinary polar experts ΓÇô represented here in the form of authored texts, photographic essays, and data-based visual portfolios ΓÇô could construct such an image and reveal the intricate web of growing economic and strategic interests, tensions, and international rivalries, which are enveloped in darkness, as is the continent for six months of the year.

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.

This innovative textbook presents material for a course on modern 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 analyzing variability, probability models, and distribution functions. Next, the authors introduce statistical inference and bootstrapping, and variability in several dimensions and regression models. The text then goes on to cover sampling for estimation of finite population quantities and time series analysis and prediction, concluding with two chapters on modern data analytic methods. Each chapter includes exercises, data sets, and applications to supplement learning.Modern Statistics: A Computer-Based Approach with Python is intended for a one- or two-semester advanced undergraduate or graduate course. Because of the foundational nature of the text, it can be combined with any program requiring data analysis in its curriculum, such as courses on data science, industrial statistics, physical and social sciences, and engineering. 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 Industrial Statistics: A Computer-Based Approach with Python. It covers topics such as statistical process control, including multivariate methods, the design of experiments, including computerexperiments and reliability methods, including Bayesian reliability. 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/ModernStatistics/"In this book on Modern Statistics, the last two chapters on modern analytic methods contain what is very popular at the moment, especially in Machine Learning, such as classifiers, clustering methods and text analytics. But I also appreciate the previous chapters since I believe that people using machine learning methods should be aware that they rely heavily on statistical ones. I very much appreciate the many worked out cases, based on the longstanding experience of the authors. They are very useful to better understand, and then apply, the methods presented in the book. The use of Python corresponds to the best programming experience nowadays. For all these reasons, I thinkthe book has also a brilliant and impactful future and I commend the authors for that."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)

Introduction.- Metric Based Mesh Representation.- Interpolation Error Estimates for Two Dimensions.- Interpolation Error Estimates for Three Dimensions.- Anisotropic Mesh Adaptation, h-Variant.- Anisotropic Mesh Adaptation Method, hp-Variant.- Framework of the Goal-Oriented Error Estimates.- Goal-Oriented Anisotropic Mesh Adaptation.- Implementation Aspects.- Applications.

With contributions by numerous experts

Louis I. Kahn (1901ΓÇô1974) was one of the most significant architects of the twentieth century and his influence is present today in ways both profound and subtle. Unlike previous publications on Kahn, which have focused on his built work and which considered the drawings foremost as illustrations of these, this is the first in-depth study of drawings as primary sources of insight into KahnΓÇÖs architecture and creative imagination.By offering a spectrum of close readings of drawings by Kahn and his associates in a series of incisive and richly illustrated essays, this book is at once an intimate artistic portrait of this important architect and a provocative and timely contribution to the current discourse on representation in architecture. For architects and students of architecture, KahnΓÇÖs lasting significance is not only in the buildings he built, but in how he designed them.Based on unprecedented archival research, engagingly presented by a group of eminent scholars and architects, and lavishly illustrated with over 600 highest quality reproductions, The Importance of a Drawing is destined to become a standard work in the literature on Louis Kahn.

Die Funktionentheorie einer komplexen Variablen hat heute höher-dimensionale Analoga: dabei wird die Algebra der komplexen Zahlen durch die nicht-kommutative Algebra der reellen Quaternionen bzw. Clifford-Algebren ersetzt. In den letzten 30 Jahren hat sich die so genannte Quaternionen- und die reelle Clifford-Analysis erfolgreich entwickelt. Eine Vielzahl von Anwendungen haben diese Funktionentheorie höher-dimensionaler Variablen zu einem wichtigen Instrument der Analysis und deren Anwendungen in der mathematischen Physik werden lassen.Das Buch reflektiert den neuesten Stand der Forschung und entwickelt sowohl die höher-dimensionalen Ergebnisse als auch die klassischen komplexen Resultate aus einem einheitlichen Begriff der Holomorphie. Der fundamentale Begriff der holomorphen Funktion als Lösung des Cauchy-Riemann-Systems wird im Höher-dimensionalen unter Beibehaltung der Bezeichnung als Lösung eines entsprechenden Systems partieller Differentialgleichungen 1. Ordnung verstanden. Historische Bemerkungen, zahlreiche Beispiele, viele Abbildungen sowie eine angemessene Auswahl von Übungsaufgaben festigen und erweitern die erworbenen Kenntnisse.Das vorliegende Buch ist für Studenten der Mathematik, Physik und mathematisch orientierten Ingenieurstudenten im Grund- und Fachstudium geeignet. Es kann auch als Grundlage von Proseminaren oder Seminaren dienen.Die beiliegende CD enthält eine umfangreiche Literaturdatenbank sowie ein Maple-Package, das die im Buch eingeführten Werkzeuge und Methoden als Kommandos bzw. vorgefertigte Prozeduren enthält. Einige Beispiel-Worksheets unterstützen die Einarbeitung in das Package.

This book presents the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint.

This book discusses the aspects of haploidentical transplants and will shed light on the debates and questions on this burgeoning field and timely topic.

This volume provides an integrated account of our current understanding of the functions of D-type cyclins during development and tumorigenesis, with special emphasis on the kinase-independent functions of these proteins.

This book aims to face particles in flows from many different, but essentially interconnected sides and points of view. Thus the selection of authors and topics represented in the chapters, ranges from deep mathematical analysis of the associated models, through the techniques of their numerical solution, towards real applications and physical implications.The scope and structure of the book as well as the selection of authors was motivated by the very successful summer course and workshop "Particles in Flows'' that was held in Prague in the August of 2014. This meeting revealed the need for a book dealing with this specific and challenging multidisciplinary subject, i.e. particles in industrial, environmental and biomedical flows and the combination of fluid mechanics, solid body mechanics with various aspects of specific applications.

This book will focus on DNA and histone methylation in epigenetics and describe how it is involved in the molecular mechanisms responsible for the development of cancer. Chapters will summarize the current knowledge of the molecular basis of DNA and histone methylation and explain how it is involved in cancer, describe the features of DNA and histone methylation associated with particular types of cancer, diagnostic/therapeutic applications, and future directions of DNA and histone methylation as cancer targets.

Maxim's vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives over finite fields, and has brought forth a paradigm shift at the interface of modern geometry and mathematical physics.

The articles in this collection are a sampling of some of the research presented during the conference "Stochastic Analysis and Related Topics", held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Banuelos.

This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge.

Metabotropic glutamate receptors (mGluRs) are members of the group C family of G-protein-coupled receptors. Eight different mGlu subtypes have been identified and classified into three groups based on amino acid sequence similarity, agonist pharmacology, and the signal transduction pathways to which they couple.

Updated and expanded to provide the neurologic, intensive and critical care communities a comprehensive guide to common critical care illnesses and seizures, this third edition remains the premier resource on seizures in critical care.

This authoritative reference presents the modern concepts of mesenchymal stem cells (MSCs) and biomaterials as they pertain to the dental field. The book is organized around three main topics: MSCs biology, advanced biomaterials, and clinical applications. The chapters present basic information on stem cell biology and physiology, modern biomaterials that improve bone tissue regeneration, the biomatrices like platelet-rich fibrin (PRF) used to functionalize the biomaterials surface, the strategic and safe intraoral seats of harvesting, the new sources for MSCs, as well as the future perspectives and new challenges in these exciting fields. The contributors are top scientists with a great deal of experience in regenerative dentistry and biomedical research. They offer an international perspective and are richly cross-disciplinary, representing academia, research, and industry. MSCs and Innovative Biomaterials in Dentistry is indispensable reading for students, researchers, and clinicians who need to stay up-to-date on the cutting-edge developments of tissue engineering and regenerative medicine applied to dental sciences.

This book provides a review of imaging techniques and applications in stem cell transplantation and other cell-based therapies. Essential reading for radiologists and physicians who are interested in developing a basic understanding of stem cell imaging and applications of stem cells and cell based therapies.