Mathematics

Cinderella.

Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets).

Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications.

Preface to the First Edition This textbook is an introduction to Scienti?

The Fourier transforms of invariant functions on finite reductive Lie algebras are due to T.

In my long professional life as a mathematician I have had to deliver various survey lectures.

This volume introduces some basic theories on computational neuroscience.

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.

Many of problems of the natural sciences lead to nonlinear partial differential equations.

The authors introduce, in this research monograph on stochastic differential equations, a class of points termed isolated singular points.

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.

This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy.

Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems.

Hofstadter's Law: It always takes longer than you think it will take, even if you take into account Hofstadter's Law.

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.

Measurements through quantitative experiments are one of the most f- damental tasks in all areas of science and technology.

No book is born in a vacuum.

This book contains detailed lecture notes on four topics at the forefront of current research in computational mathematics.

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.

It is generally accepted that training in statistics must include some exposure to the mechanics of computational statistics.

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.

When "e;Financial Risk in Insurance"e; appeared in 1995, we would not have imag- ined that this text would find such a wide readership.

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; .

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.

Shells and plates have been widely studied by engineers during the last fifty years.

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.

Metaheuristics for Hard Optimization comprises of three parts.

This book presents recent advances (from 2008 to 2012) concerning use of the Naive Bayes model in unsupervised word sense disambiguation (WSD).

Obwohl Rechengeschichten durch ihre narrative Struktur ein besonderes Potenzial für den Mathematikunterricht bieten, fehlt es bislang an einer tragfähigen theoretischen Fundierung.

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.

by a more general quadratic algebra (possibly obtained by deformation) and then to derive Rq [G] by requiring it to possess the latter as a comodule.

Compactness is related to a number of fundamental concepts of mathemat- ics.

In July 2000 I attended the conference on Technology in Mathematics Education in Beirut.

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.

This book addresses the mathematical aspects of semiconductor modeling, with particular attention focused on the drift-diffusion model.

This volume honors Alexander Gammerman on the occasion of his 80th birthday, Prof.

Dieses Buch bietet einen modernen Ansatz für die Theorie der zeitstetigen stochastischen Prozesse und der stochastischen Analysis.

Dieses Buch bietet einen modernen Ansatz für die Theorie der zeitstetigen stochastischen Prozesse und der stochastischen Analysis.

This book originates from the graduate course Theory and Methods of Optimisation taught at the University of Pisa and is primarily intended for students seeking a rigorous yet accessible introduction to optimisation techniques.

Dieses Buch bietet einen umfassenden Überblick über Lösungskonzepte, die sich besonders gut auf Operations- und Supply-Chain-Kontexte anwenden lassen, und erläutert diese Konzepte anhand relevanter Problemstellungen im Operations Management in Multiagenten-Systemen.

Dieses Buch bietet einen umfassenden Überblick über Lösungskonzepte, die sich besonders gut auf Operations- und Supply-Chain-Kontexte anwenden lassen, und erläutert diese Konzepte anhand relevanter Problemstellungen im Operations Management in Multiagenten-Systemen.