All ebooks by Birkhäuser in PDF and EPUB

Singular Sets of Minimizers for the Mumford-Shah Functional

Guy David

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2004. This book studies regularity properties of Mumford-Shah minimizers. The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many...

Quadrature Domains and Their Applications

Peter Ebenfelt , Björn Gustafsson , Dmitry Khavinson , Mihai Putinar

Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several...

Lie Theory

Jean-Philippe Anker , Bent Orsted

Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A. Borel, L. Ji and T. Kobayashi, focuses on two fundamental questions in the theory of semisimpleLie groups: the geometry of Riemannian symmetric spaces and their...

Lie Theory

Jean-Philippe Anker , Bent Orsted

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title of Lie Theory, feature survey work...

Two Cultures

Kim Williams

The extraordinary range of cultural interests of renowned physicist David Speiser—including the sciences, art, architecture, music, and history of science—has inspired generations of later scientists to look beyond the boundaries of their own disciplines. In this book,...

Nonlinear Elliptic and Parabolic Problems

Michel Chipot , Joachim Escher

Italian Mathematics Between the Two World Wars

Angelo Guerraggio , Pietro Nastasi

During the first decades of the last century Italian mathematics was considered to be the third national school due to its importance and the high level of its numerous - searchers. The decision to organize the 1908 International Congress of Mathematicians in Rome...

Poisson Structures and Their Normal Forms

Jean-Paul Dufour , Nguyen Tien Zung

Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold:...

Recent Advances in Operator Theory and Its Applications

Marinus A. Kaashoek , Sebastiano Seatzu , Cornelis Van Der Mee

Thisvolumecontainsaselectionofpapersinmodernoperatortheoryanditsapp- cations. Most of them are directly related to lectures presented at the Fourteenth International Workshop on Operator Theory and its Applications (IWOTA 2003) held at the University of Cagliari, Italy,...

Elliptic and Parabolic Problems

Collectif

Haim Brezis has made significant contributions in the fields of partial differential equations and functional analysis, and this volume collects contributions by his former students and collaborators in honor of his 60th anniversary at a conference in Gaeta. It presents...

Infinite Dimensional Algebras and Quantum Integrable Systems

Petr P. Kulish , Nenad Manojlovic , Henning Samtleben

This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems" held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV International Congress on Mathematical Physics. In...

Nonlinear Smoothing and Multiresolution Analysis

Carl Rohwer

Thismonographisintendedasasimpleintroductiontotheso-calledLULU-theory and the practical use of LULU-smoothers leading up to a full Multiresolution Analysis of any ?nite sequence. The attempt has been to present the subject in a way that is retrospectively ordered to...

Sturm-Liouville Theory

Werner O. Amrein , Andreas M. Hinz , David B. Pearson

This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. It aims at giving an overview of the development of Sturm-Liouville theory...

Philosophie der Mathematik in der Antike und in der Neuzeit

Ulrich Felgner

»Philosophie der Mathematik« wird in diesem Buch verstanden als ein Bemühen um die Klärung solcher Fragen, die die Mathematik selber aufwirft, aber mit ihren eigenen Methoden nicht beantworten kann. Dazu gehören beispielsweise die Fragen nach dem ontologischen Status...

Erlebnisse an Grenzen - Grenzerlebnisse mit der Mathematik

Bert-Wolfgang Schulze

Die in Europa bis Ende der 1980er Jahre bestehende Grenze zwischen unterschiedlichen Gesellschaftssystemen, insbesondere die innerdeutsche Grenze, hat die individuellen Biografien von Bürgern vital beeinflusst. Auch die Wissenschaftler, u.a. die Mathematiker, waren...