Download E-books Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface (Lecture Notes in Mathematics) PDF

By Carlos Simpson

This e-book matters the query of ways the answer of a approach of ODE's varies whilst the differential equation varies. The aim is to provide nonzero asymptotic expansions for the answer by way of a parameter expressing how a few coefficients visit infinity. a specific classof households of equations is taken into account, the place the reply indicates a brand new type of habit no longer obvious in such a lot paintings identified formerly. The innovations comprise Laplace remodel and the strategy of desk bound section, and a combinatorial process for estimating the contributions of phrases in an enormous sequence enlargement for the answer. Addressed essentially to researchers inalgebraic geometry, usual differential equations and complicated research, the publication can also be of curiosity to utilized mathematicians engaged on asymptotics of singular perturbations and numerical resolution of ODE's.

Show description

Read or Download Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface (Lecture Notes in Mathematics) PDF

Similar Algebraic Geometry books

Analytic K-Homology (Oxford Mathematical Monographs)

This paintings attracts jointly principles from algebraic topology, practical research and geometry. it's a instrument - a way of conveying info between those 3 matters - and it's been used with luck to find theorems throughout a large span of arithmetic. the aim of this publication is to acquaint the reader with the basic rules of analytic K-homology and improve a few of its functions.

The Geometry of Topological Stability (London Mathematical Society Monographs)

In featuring a close research of the geometry and topology of various periods of "generic" singularities, Geometry of Topological balance bridges the space among algebraic calculations and continuity arguments to aspect the required and adequate stipulations for a C (infinity) to be C]0-stable. all through, the authors masterfully study this crucial topic utilizing effects culled from a large variety of mathematical disciplines, together with geometric topology, stratification concept, algebraic geometry, and commutative algebra.

Lectures on Polytopes (Graduate Texts in Mathematics)

In line with a graduate path on the Technische Universit├Ąt, Berlin, those lectures current a wealth of fabric at the glossy concept of convex polytopes. the simple exposition gains many illustrations, and whole proofs for many theorems. With in basic terms linear algebra as a prerequisite, it takes the reader fast from the fundamentals to themes of modern study.

Higher-Dimensional Algebraic Geometry (Universitext)

The class idea of algebraic forms is the point of interest of this ebook. This very lively zone of study continues to be constructing, yet an grand volume of information has amassed during the last two decades. The authors objective is to supply an simply available advent to the topic. The booklet begins with preparatory and traditional definitions and effects, then strikes directly to speak about a number of features of the geometry of soft projective forms with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version software of category of algebraic forms by means of proving the cone and contraction theorems.

Extra resources for Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface (Lecture Notes in Mathematics)

Show sample text content

Rated 4.89 of 5 – based on 40 votes