Mathematics : Differential Equations

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During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey o......

This is the second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arisin......

Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists......

This book presents a general theory as well as constructive methodology in order to solve 'observation problems', that is: reconstructing the full informatio......

This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from ......

The LÈvy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well-developed in recent years and ......

Written by two foremost researchers in the field, this book studies the local times of Markov processes by employing isomorphism theorems that relate them to......

Based on the subjects from the Clay Mathematics Institute/Mathematical Sciences Research Institute Workshop on 'Recent Progress in Dynamics' in September and......

Contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with G......

This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complic......

This introductory course in ordinary differential equations, intended for junior undergraduate students in applied mathematics, science and engineering, focu......

Have you Ever Solved a Partial Differential Equation? The laws of physics may be transformed mathematically into second-order partial differential equations......

A 'soliton' is a localized nonlinear wave of permanent form which may interact strongly with other solitons so that when they separate after the interaction ......

The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornst......

Invisible in the Storm is the first book to recount the history, personalities, and ideas behind one of the greatest scientific successes of modern times--th......