Books published by Birkhauser Verlag AG

This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer's research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory.

Mit diesem Band über die am häufigsten verwendeten statistischen Methoden wenden wir uns an einen breiten Kreis von Wissenschaftern und Studenten. Biologen, Medizinern, Ingenieuren, Wirtschaftswissenschaftern und Soziologen wird gezeigt, in welcher Art und Weise Varianzanalyse und Regressionsrechnung beim Auswerten von Beobachtungen und Versuchen anzuwenden sind. Das Buch, als Statistische Methoden Il bezeichnet, schliesst an unsere Ausführungen in Elementare statistische Methoden (UTB 796) an; auf dieses 1979 veröffentlichte Buch nehmen wir jeweils als Band I Bezug. Die neue Nume­ rierung erscheint uns auch deshalb gerechtfertigt, weil für die multivariaten Methoden ein eigener Band III geplant ist; die­ ser wird bald erscheinen. Um das Buch, soweit dies sinnvoll ist, in sich abge­ schlossen zu halten, sind gewisse Teile aus Band I nochmals in knapper Weise entwickelt worden; davon betroffen sind vor allem die einfache Varianzanalyse und die einfache lineare Regression. Wir wiederholen auch die wichtigsten Tafeln. Im Kapitel 1 stellen wir einige Begriffe aus der Wahr­ scheinlichkeitsrechnung, die elementaren Tests und die Grundzüge des Schätzens von Parametern zusammen. Kapi­ tel 2 bringt die varianzanalytischen Methoden, von der einfa­ chen bis zur dreifachen Klassierung. Wir gehen dabei auch auf die Probleme bei ungleichen Besetzungszahlen ein. Die Regressionsrechnung im Kapitel 3 beginnt mit dem einfachen Fall einer einzigen unabhängigen Variablen, dann wird über zwei Regressoren zum allgemeinen Fall von p Regressoren er­ weitert. Anschliessend an diese Grundlagen betrachten wir verschiedene Formen der nichtlinearen Regression, sowie die Spezialfälle der periodischen Regression und der Regression mit Anteilen und Anzahlen.

This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics.

In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis.

This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations.

This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools.

This book presents 5 tutorial lectures given by leading researchers at the 15th edition of the International School on Formal Methods for the Design of Computer, Communication and Software Systems, SFM 2015, held in Bertinoro, Italy, in June 2015.

This first of three volumes starts with a short introduction to historical metrology as a scientific discipline and goes on with an anthology of acient and modern measurement systems of all kind, scientific measures, units of time, weights, currencies etc.

This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space.

This book illustrates the imperative for late-life depression prevention, introducing a broad range of approaches to prevention and provides detailed examples of clinical applications of late-life depression prevention - all with consideration of medical and scientific, social, economic and global health perspectives.

Since publication of the initial papers in 2006, compressed sensing has captured the imagination of the international signal processing community, and the mathematical foundations are nowadays quite well understood.Parallel to the progress in mathematics, the potential applications of compressed sensing have been explored by many international groups of, in particular, engineers and applied mathematicians, achieving very promising advances in various areas such as communication theory, imaging sciences, optics, radar technology, sensor networks, or tomography.Since many applications have reached a mature state, the research center MATHEON in Berlin focusing on "Mathematics for Key Technologies", invited leading researchers on applications of compressed sensing from mathematics, computer science, and engineering to the "MATHEON Workshop 2013: Compressed Sensing and its Applications¿ in December 2013. It was the first workshop specifically focusing on the applications of compressed sensing. This book features contributions by the plenary and invited speakers of this workshop. To make this book accessible for those unfamiliar with compressed sensing, the book will not only contain chapters on various applications of compressed sensing written by plenary and invited speakers, but will also provide a general introduction into compressed sensing.The book is aimed at both graduate students and researchers in the areas of applied mathematics, computer science, and engineering as well as other applied scientists interested in the potential and applications of the novel methodology of compressed sensing. For those readers who are not already familiar with compressed sensing, an introduction to the basics of this theory will be included.

This fourteenth volume in the Poincare Seminar Series is devoted to Niels Bohr, his foundational contributions to understanding atomic structure and quantum theory and their continuing importance today. - Serge Haroche & Jean-Michel Raimond, Bohr's Legacy in Cavity QED;

A follow-up to the volume "Discovering the Principles of Mechanics 1600-1800. Essays by David Speiser" (Birkhauser 2008), this volume contains the essays of David Speiser on relationships between science, history of science, history of art and philosophy.

This book is about a side of Isaac Newton's character that has not been examined - Isaac Newton as architect as demonstrated by his reconstruction of Solomon's Temple.

This book offers an original contribution to the foundations of logic and mathematics and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry.

This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary.

The chapters in this volume stress the need for advances in theoretical understanding to go hand-in-hand with the widespread practical application of forecasting in industry.

This book contains the thoroughly refereed proceedings of the 12th International Symposium on Mathematical Morphology, ISMM 2015 held in Reykjavik, Iceland, in May 2015. The 62 revised full papers were carefully reviewed and selected from 72 submissions. The papers are organized in topical sections on evaluations and applications;

This book constitutes the thoroughly refereed proceedings of the 10th International Conference on Design Science Research in Information Systems and Technology, DESRIST 2015, held in Dublin, Ireland, in May 2015.

This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five topical sections: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions.

Mathematician for All Seasons