Böcker utgivna av Birkhauser Verlag AG

This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).

Die Autoren beginnen mit der Primfaktorzerlegung und dem größten gemeinsamen Teiler ¿ Begriffen, die aus dem Schulunterricht bekannt sind, aber bei genauerer Betrachtung viel von ihrer Selbstverständlichkeit verlieren. Sie erörtern das Dezimalsystem, die Kongruenzrechnung, primitive Wurzeln und das Reziprozitätsgesetz für quadratische Reste. Ihr ausführliches Buch richtet sich an Dozenten, Lehrer und Studenten und ist aber für alle verständlich, die den elementaren Schulstoff beherrschen. Es eignet sich zur Vorlesungsbegleitung und zum Selbststudium. Aufgaben am Ende eines jeden Paragraphen helfen dabei, den Lehrstoff zu üben und zu vertiefen.

It is distinguished by its high level of presentation and its focus on the essential.'' (Zeitschrift fur Analysis und ihre Anwendung 18, No. Berger, review of the first German edition)"One advantage of this presentation is that the power of the abstract concepts are convincingly demonstrated using concrete applications.'' (W.

Intended for both researchers and practitioners, this book will be a valuable resource for studying and applying recent robust statistical methods. It contains up-to-date research results in the theory of robust statisticsTreats computational aspects and algorithms and shows interesting and new applications.

Das Buch ist ein Leitfaden über die modernen Fertigungsverfahren in der Triebwerktechnik. Besonderer Wert wurde hierbei auf die Darstellung der werkstofftechnischen, metallkundlichen und physikalischen Zusammenhänge gelegt, von denen sich die wesentlichen technischen Maßnahmen der Fertigung ableiten. Die Vertiefung in einzelne Sachgebiete wird mit Hilfe eines umfangreichen Literaturverzeichnisses unterstützt. Das Buch wendet sich mit seiner interdisziplinären Darstellung von Werkstofftechnik, Fertigungstechnik und Funktionalität der Maschinenkomponenten an Ingenieure und Techniker, die an der Entwicklung und Fertigung von Gasturbinen arbeiten. Ebenso sind die Studenten der Werkstofftechnik, der Fertigungstechnik, des Maschinenbaus und der ihm zugeordneten Disziplinen angesprochen. Prof. Dr.-Ing. Peter Adam ist Inhaber des Lehrstuhls für Oberflächentechnik an der Friedrich-Schiller-Universität Jena. Er arbeitete über 20 Jahre als Leiter der Fertigungsverfahrensentwicklung bei der Motoren- und Turbinen-Union München.

Carbonic anhydrase (CA) is a seemingly ubiquitous enzyme of profound physiological importance, which plays essential roles in respiration, acid-base homeostasis, bone resorption, calcification, photosynthesis, several biosynthetic pathways and a variety of processes involving ion, gas and fluid transfer.

The volume contains contributions from authors from a large variety of countries on different aspects of partial differential equations, such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches.

In this book the author presents a comprehensive study of Diophantos' monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. This allows the author to describe the structure, the contents and the mathematics of the Arithmetika in detail.

This volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading specialists in their respective field. The articles focus on topics that are in the center of attention of current research, with original contributions from the authors.

Since their discovery hundreds of years ago, people have been fascinated by the wondrous properties of Fibonacci numbers. Starting with the basic properties of Fibonacci numbers, the present book explores their relevance in number theory, the theory of continued fractions, geometry and approximation theory.

This elegantly written text includes a wealth of exercises for students as it weaves classical probability theory into the quantum framework. It deepens our understanding of classical and quantum views on the dynamics of systems subject to the laws of chance.

Kurt Goedel, together with Bertrand Russell, is the most important name in logic, and in the foundations and philosophy of mathematics of this century.

The fourth one is devoted to Entropy, giving a comprehensive account of the history and various realizations of this concept, from thermodynamics to black holes, and includes theoretical and experimental discussions of the corresponding fluctuations for mesoscopic systems near equilibrium.

Automorphic forms on the upper half plane have been studied for a long time. He extended Hecke's relation between automorphic forms and Dirichlet series to real analytic automorphic forms.

The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book "e;5000 Jahre Geometrie,"e; in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering.Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first "e;Golden Age"e; in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries.Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometry in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times.The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history.From letters to the authors for the German language editionI hope it gets a translation, as there is no comparable work.Prof. J. Grattan-Guinness (Middlesex University London)"e;Five Thousand Years of Geometry"e; - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically!Prof. J.W. Dauben (City University of New York)An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ...The graphic design is also excellent.Prof. Z. Nadenik (Czech Technical University in Prague)

This volume presents new results in probability theory and partial differential equations related to asymptotic

On the other hand, Mather started with a specific class of area-preserving annulus mappings, the so-called monotone twist maps. These maps appear in mechanics as Poincare maps. In 1982, Mather succeeded to make essential progress in this field and to prove the existence of a class of closed invariant subsets which are now called Mather sets.

Since 2001 the Scuola Normale Superiore di Pisa has organized the "Colloquio De Giorgi", a series of colloquium talks named after Ennio De Giorgi.

Transfer functions and characteristic functions proved to be key in operator theory and system theory. Moshe Livic played a major role in developing these functions, and this book of papers dedicated to his memory covers a wide variety of topics in the field.

This book is a comprehensive exposition of the theory of boundary integral equations for single and double layer potentials on curves with exterior and interior cusps. Three chapters cover harmonic potentials, and the final chapter treats elastic potentials.

A.V. Kazhikhov was a giant in the field of Mathematical Fluid Mechanics. Dedicated to him, this book offers contributions from many specialists and covers the latest in Mathematical Fluid Mechanics and the field of nonlinear partial differential equations.

Lists the required preliminary knowledge in set and measure theory, topology and algebra. This book gives details on solutions of the Cauchy equation and of the Jensen inequality, in particular on continuous convex functions, Hamel bases, and on inequalities following from the Jensen inequality.

This text covers cardinal number valued functions defined for any Boolean algebra such as cellularity. It explores the behavior of these functions under algebraic operations such as products, free products, ultraproducts and their relationships to each other.

In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory.

This topical volume focuses on the most recent advances that have been achieved in relevant fields of research of nuclear test ban monitoring, including seismology, infrasound- and hydro-acoustics, as well as nuclear physics and atmospheric backtracking.

Assume that after preconditioning we are given a fixed point problem x = Lx + f (*) where L is a bounded linear operator which is not assumed to be symmetric and f is a given vector.

The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where -