Analysis

Elliptische Funktionen und Modulformen

Max Koecher / Aloys Krieg

Die Theorie der elliptischen Funktionen und Modulformen wird in der englischsprachigen Literatur im allgemeinen auf sehr hohem Niveau abgehandelt. Den Autoren ist es gelungen, eine Brücke von den...

Complex Effects in Large Eddy Simulations

<P>The field of Large Eddy Simulations is reaching a level of maturity that brings this approach to the mainstream of engineering computations, while it opens opportunities and challenges. T...

Topics in Almost Automorphy

Gaston M. N'Guérékata

Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41...

Phase Portraits of Planar Quadratic Systems

John Reyn

<P>This book attempts to give a presentation of the advance of our knowledge of phase portraits of quadratic systems, paying special attention to the historical development of the subject. T...

Mathematical Aspects of Classical and Celestial Mechanics

Vladimir I. Arnold / Valery V. Kozlov / Anatoly I. Neishtadt

The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describe...

Spectral Methods

Thomas A. Zang / M. Yousuff Hussaini / Alfio Quarteroni / Claudio Canuto

Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algo...

The Analysis of Linear Partial Differential Operators III

Lars Hörmander

<P>From the reviews: </P><P>"Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-da...

Correlated Data Analysis: Modeling, Analytics, and Applications

Peter X. -K. Song

<P>This book covers recent developments in correlated data analysis. It utilizes the class of dispersion models as marginal components in the formulation of joint models for correlated data....

Introduction to the Theory of Nonlinear Optimization

Johannes Jahn

<P>This book serves as an introductory text to optimization theory in normed spaces and covers all areas of nonlinear optimization. It presents fundamentals with particular emphasis on the a...

System Theory, the Schur Algorithm and Multidimensional Analysis

<P>This volume contains six peer-refereed articles written on the occasion of the workshop Operator theory, system theory and scattering theory: multidimensional generalizations and related ...

Arithmetic and Geometry Around Hypergeometric Functions

<P>This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray Univ...

Tata Lectures on Theta I

David Mumford

<P>This volume is the first of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these...

Visualization and Processing of Tensor Fields

Matrix-valued data sets – so-called second order tensor fields – have gained significant importance in scientific visualization and image processing due to recent developments such as diffusio...

Modern Trends in Pseudo-Differential Operators

<P>The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lec...

The Extended Field of Operator Theory

<P>This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles exper...

Numerical Methods for Laplace Transform Inversion

Alan M. Cohen

<P>This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are...

Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Marco Pettini

<P>This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The author focuses on two main areas: Riemannian formulation of Hamiltonian dy...

Topics In Contemporary Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields

Differential Geometry and Analysis on CR Manifolds

Sorin Dragomir / Giuseppe Tomassini

<P>Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form</P><P>Explains how certain results from analysis are empl...

Nonsmooth Variational Problems and Their Inequalities

Siegfried Carl / Dumitru Motreanu / Vy K. Le

This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, ...