By Carlos Simpson

This ebook matters the query of ways the answer of a procedure of ODE's varies whilst the differential equation varies. The aim is to offer nonzero asymptotic expansions for the answer when it comes to a parameter expressing how a few coefficients visit infinity. a specific classof households of equations is taken into account, the place the reply shows a brand new type of habit now not noticeable in so much paintings identified previously. The thoughts comprise Laplace rework and the strategy of desk bound section, and a combinatorial process for estimating the contributions of phrases in an enormous sequence growth for the answer. Addressed essentially to researchers inalgebraic geometry, traditional differential equations and complicated research, the e-book can also be of curiosity to utilized mathematicians engaged on asymptotics of singular perturbations and numerical answer of ODE's.

Show description

Read Online 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, useful research and geometry. it's a device - a way of conveying info between those 3 topics - and it's been used with luck to find theorems throughout a large span of arithmetic. the aim of this e-book is to acquaint the reader with the basic rules of analytic K-homology and enhance a few of its functions.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of easy examples and strategies during this region. appropriate for self-study by way of a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a well known mathematician and present president of the yankee Mathematical Society, in addition to a profitable Springer writer.


"It offers a delicate portrait of an outstanding individual. It describes appropriately and intelligibly on a nontechnical point the area of mathematical rules during which Hilbert created his masterpieces. And it illuminates the history of German social background opposed to which the drama of Hilberts lifestyles was once performed.

Introduction to Analysis of the Infinite: Book I

From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got restrained myself to these concerns referring to natural research. within the moment e-book i've got defined these factor which needs to be recognized from geometry, due to the fact research is generally constructed in one of these approach that its program to geometry is proven.

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

Show sample text content

Rated 4.58 of 5 – based on 3 votes