All ebooks in the collection "Trends in Mathematics" - Birkhäuser

Extended Abstracts Fall 2012

Juan González-Meneses , Martin Lustig , Enric Ventura

This volume features seventeen extended conference abstracts corresponding to selected talks given by participants at the CRM research program “Automorphisms of Free Groups: Algorithms, Geometry and Dynamics”, which took place at the Centre de Recerca Matemàtica in...

Nonlinear Analysis

Qamrul Hasan Ansari

Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions...

Fourier Analysis

Michael Ruzhansky , Ville Turunen

This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures...

Harmonic and Complex Analysis and its Applications

Alexander Vasil'ev

This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge...

Geometric Methods in Physics

Collectif

The Bialowieza workshops on Geometric Methods in Physics, taking place in the unique environment of the Bialowieza natural forest in Poland, are among the important meetings in the field. Every year some 80 to 100 participants both from mathematics and physics join to...

Further Developments in Fractals and Related Fields

Julien Barral , Stéphane Seuret

This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical...

Microlocal Methods in Mathematical Physics and Global Analysis

Daniel Grieser , Stefan Teufel , Andras Vasy

Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to...

Symbolic-Numeric Computation

Dongming Wang , Li-Hong Zhi

The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations, two types of computation coexisting in mathematics yet separated in traditional research of...

Graph Theory in Paris

Collectif

In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a...

C*-algebras and Elliptic Theory

Bogdan Bojarski , Alexander S. Mishchenko , Evgenij V. Troitsky , Andrzej Weber

This book consists of reviewed original research papers and expository articles in index theory (especially on singular manifolds), topology of manifolds, operator and equivariant K-theory, Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs...

Set Theory

Joan Bagaria , Stevo Todorcevic

Topics in Cohomological Studies of Algebraic Varieties

Piotr Pragacz

The articles in this volume study various cohomological aspects of algebraic varieties:- characteristic classes of singular varieties;- geometry of flag varieties;- cohomological computations for homogeneous spaces;- K-theory of algebraic varieties;- quantum cohomology...

Differential Equations with Symbolic Computation

Dongming Wang , Zhiming Zheng

This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming...