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This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. It treats the dynamics of rotating, spinning and rolling rigid bodies from a...

This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equations of second order. The methods described in the book are...

Apologies but we at Booksplease don't have a full description for this book.About the AuthorAbed Bounemoura, PSL Research University, Paris, France, and Jacques Fejoz, PSL Research University, Paris, FranceBook InformationISBN 9781470446918Author Abed...

Until recently, measurable dynamics has been regarded as a highly theoretical mathematical topic with few obvious links to areas of applied mathematics. The advent of high-speed computers, rapidly-developing algorithms, and new numerical methods has,...

In order to emphasize the relationships and cohesion between analytical and numerical techniques, this book presents a comprehensive and integrated treatment of both aspects in combination with the modeling of relevant problem classes. This text is...

Provides a thorough, balanced introduction to both the theoretical and the computational aspects of the finite element method for solving boundary value problems for partial differential equations. Although significant advances have been made in the...

Originally published in 1969, this classic textbook provides a solid foundation for learning about dynamical systems, and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of...

Arising from the growing interest in dynamical systems theory, this book explores the derivation of relatively simple dynamical equations that model complex physical interactions. It unifies into one coherent approach many varied extant methods for model...

This book explores the exciting intersection of machine learning and differential equations (DEs), presenting modern techniques to solve one of the most fundamental mathematical challenges. DEs govern the laws of nature, appearing in contexts as diverse...

This book explores the exciting intersection of machine learning and differential equations (DEs), presenting modern techniques to solve one of the most fundamental mathematical challenges. DEs govern the laws of nature, appearing in contexts as diverse...

The book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces. The "microlocal approach" is adopted, by using pseudo-differential operators, wave front sets and Fourier integral operators.Basic...

Most modern textbooks on partial differential equations either contain proofs of fundamental results only in special cases, or proof outlines, or do not contain proofs at all. This textbook, despite its relatively small volume, provides all the main...

Sorry no description is available for this book at this time.

In 1848 James Challis showed that smooth solutions to the compressible Euler equations can become multivalued, thus signifying the onset of a shock singularity. Today it is known that, for many hyperbolic systems, such singularities often develop...

This book is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on...

The aim of this book is to survey the relations between the various kinds of chaos and related notions for continuous interval maps from a topological point of view. The papers on this topic are numerous and widely scattered in the literature; some of...

The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function acting on the Riemann sphere. Building on foundational investigations of $p$-adic dynamics in the...

Linear algebra and ordinary differential equations (ODEs) are foundational postcalculus mathematics. The goal of this text is to help students master both subject areas in a one-semester course. The linear algebra necessary for applications is developed...

This is the second volume in the ""University Lecture Series"", designed to make more widely available some of the outstanding lectures presented in various institutions around the country. Each year at Lehigh University, a distinguished mathematical...

The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently...

This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there are very few books treating these two kinds of equations in combination. This book presents...

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems...

No detailed description available for "Singular Ordinary Differential Operators and Pseudodifferential Equations".Book InformationISBN 9783112780220Author Johannes ElschnerFormat HardbackPage Count 200Imprint De GruyterPublisher De GruyterWeight(grams)...

No detailed description available for "Singularly Perturbed Differential Equations".Book InformationISBN 9783112735923Author Herbert GoeringFormat HardbackPage Count 176Imprint De GruyterPublisher De GruyterWeight(grams) 484g

Internal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain. This monograph studies three...

This book presents the basic concepts and recent developments of linear control problems with perturbations. The presentation concerns both continuous and discrete dynamical systems. It is self-contained and illustrated by numerous examples. From the...

This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with...

This book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions. Illustrating...

The book is devoted to the foundations of the theory of boundary-value problems for various classes of systems of differential-operator equations whose linear part is represented by Fredholm operators of the general form. A common point of view on...

No detailed description available for "Uniqueness Problems for Degenerating Equations and Nonclassical Problems".Book InformationISBN 9783110364163Author S. P. ShishatskiiFormat HardbackPage Count 184Imprint De GruyterPublisher De GruyterWeight(grams)...

This monograph covers dynamical inverse problems, that is problems whose data are the values of wave fields. It deals with the problem of determination of one or more coefficients of a hyperbolic equation or a system of hyperbolic equations. The desired...

This monograph gives a systematic presentation of classical and recent results obtained in the last couple of years. It comprehensively describes the methods concerning the topological structure of fixed point sets and solution sets for differential...

This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations. In the first chapters, the necessary material on Fourier transformation and...

No detailed description available for "Nonclassical and Inverse Problems for Pseudoparabolic Equations".Book InformationISBN 9783110355352Author A. AsanovFormat HardbackPage Count 152Imprint De GruyterPublisher De GruyterWeight(grams) 395g

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and...

Maybe for the first time in the existing literature, we investigate here the almost periodic type solutions to the abstract Volterra difference equations depending on several variables. We also investigate the generalized almost periodic type sequences...

Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc. This work is...

The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this...

The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including...

No detailed description available for "Inverse Problems of Electromagnetic Geophysical Fields".Book InformationISBN 9783110354928Author P. S. MartyshkoFormat HardbackPage Count 127Imprint De GruyterPublisher De GruyterWeight(grams) 385g