The author develops a deformation theory for degenerations of complex curves; specifically, he treats deformations which induce splittings of the singular fiber of a degeneration.
Posn(R) and Eisenstein Series provides an introduction, requiring minimal prerequisites, to the analysis on symmetric spaces of positive definite real matrices as well as quotients of this space by the unimodular group of integral matrices.
This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups.
Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems.
Dedicated to the eminent Russian mathematician Albert Shiryaev on the occasion of his 70th birthday, the Festschrift is a collection of papers, including several surveys, written by his former students, co-authors and colleagues.
In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction - for an audience knowing basic functional analysis and measure theory but not necessarily probability theory - to analysis in a separable Hilbert space of infinite dimension.
Applied Mathematics: Body&Soul is a mathematics education reform p- gram including a series of books, together with associated educational ma- rial and open source software freely available from the project web page at www.
The theory of generalized functions is a general method that makes it possible to consider and compute divergent integrals, sum divergent series, differentiate discontinuous functions, perform the operation of integration to any complex power and carry out other such operations that are impossible in classical analysis.
This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids.
In the last few years there has been a growing interest in the development of numerical techniques appropriate for the approximation of differential model problems presenting multiscale solutions.
This book summarizes and highlights progress in our understanding of Dy- namical Systems during six years of the German Priority Research Program "e;Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems"e; .
CASC 2001 continues a tradition ~ started in 1998 ~ of international con- ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing.
High-Performance Computers (HPC) have initiated a revolutionary develop- ment in research and technology since many complex and challenging prob- lems in this area can only be solved by HPC and a network in modeling, algo- rithms and software.
This volume consists ofsurvey articles on current topics in computational wave prop- agation and inverse problems, written by leading experts in their respective fields.
Riemannian, symplectic and complex geometry are often studied by means ofsolutions to systems ofnonlinear differential equations, such as the equa- tions of geodesics, minimal surfaces, pseudoholomorphic curves and Yang- Mills connections.
As a branch of mathematics that studies the behavior of random, fuzzy and rough events, uncertainty theory is the generic name of probability theory, credibility theory, and trust theory.
Obwohl Rechengeschichten durch ihre narrative Struktur ein besonderes Potenzial für den Mathematikunterricht bieten, fehlt es bislang an einer tragfähigen theoretischen Fundierung.
With one volume each year, this review series keeps scientists and advanced students informed of the latest developments and results in all areas of the plant sciences.
We believe that to understand and be comfortable with mathematical con- cepts and methods, it is necessary to do mathematics and, traditionally, doing meant with a pencil and paper.
Mathematical Demography, the study of population and its analysis through mathematical models, has received increased interest in the mathematical com- munity in recent years.
With one new volume each year, this series keeps scientists and advanced students informed of the latest developments and results in all areas of botany.
With one new volume each year, this series keeps scientists and advanced students informed of the latest developments and results in all areas of botany.
One of my favorite quotes is from a letter of Charles Darwin (1887): "e;I have long discovered that geologists never read each other's works, and that the only object in writing a book is proof of earnestness, and that you do not form your opinions without undergoing labour of some kind.
