Differential calculus and equations Books

Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of...

The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's...

In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical...

This IMA Volume in Mathematics and its Applications MODELING, MESH GENERATION, AND ADAPTIVE NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of the 1993 IMA Summer Program "Modeling, Mesh...

The equations which we are going to study in these notes were first presented in 1963 by E. N. Lorenz. They define a three-dimensional system of ordinary differential equations that depends on three real positive parameters. As...

This monograph develops the Hamilton-Jacobi-Bellman theory via dynamic programming principle for a class of optimal control problems for stochastic hereditary differential equations (SHDEs) driven by a standard Brownian motion...

The IMA Hot Topics workshop on compatible spatialdiscretizations was held in 2004. This volume contains original contributions based on the material presented there. A unique feature is the inclusion of work that is...

The topics covered in this volume include Sobolev's fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because...

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. This the only book that organizes the...

The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well...

Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations...

Steady-State Solutions of the Navier-Stokes Equations: Statement of the Problem and Open Questions.- Basic Function Spaces and Related Inequalities.- The Function Spaces of Hydrodynamics.- Steady Stokes Flow in Bounded Domains.- Steady Stokes Flow in...

1. Introduction. 2. Discrete-continuous systems with impulse control. 3. Optimal impulse control problem with restricted number of impulses. 4. Representation of generalized solutions via differential equations with measures. 5. Optimal control problems...

Wave Front Propagation for KKP-type Equations; M. Freidlin. Particles and Waves Transmission in One-dimensional Disordered Systems; S. Gredeskul, et al. Asymptotic Equations for Nonlinear Hyperbolic Waves; J.K. Hunter. Index.

This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference...

The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure of the singular set and...

The main topics presented in this book deal with methods from functional analysis applied to the study ofsmall movements and normal oscillations ofhydrome­ chanical systems having cavities filled with either ideal or viscous...

The usefulness of from the of techniques perturbation theory operators, to kernel for limit theorems for a applied quasi-compact positive Q, obtaining Markov chains for stochastic of or dynamical by describing properties...

This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis.After giving an overview of the methods developed for models based on partial differential equations,...

Up-to-Date Coverage of the Navier-Stokes Equation from an Expert in Harmonic AnalysisThe complete resolution of the Navier-Stokes equation-one of the Clay Millennium Prize Problems-remains an important open challenge in partial differential equations...

Dieses Buch bietet eine moderne Einführung in die Theorie der linearen Differenzengleichungen. Es richtet sich an Studierende der Mathematik sowie an Forscher und Lehrende. Der Autor stellt die Grundlagen der linearen Differenzengleichungen vor und...

Ludwig Stickelberger beschäftigt sich in diesem Buch mit der Theorie der linearen Differentialgleichungen. Es ist eine anspruchsvolle Abhandlung, die von Interesse für Mathematiker und andere Wissenschaftler sein dürfte.This work has been selected by...

Discover the beauty and power of differential equations with this comprehensive textbook by mathematician Andrew Russell Forsyth. From initial value problems to boundary-value problems, Forsyth's clear and insightful explanations will guide readers...

Revue sur la théorie des D-modules et modèles d'opérateurs pseudodifférentiells, A Survey on the Theory of D-modules. Models for Pseudodifferential Operators.- Fourier Transform and Differential Equations.- Excursions and Itô Calculus in Nelson's...

Tensor calculus is a generalization of vector calculus, and comes near of being a universal language in physics. Physical laws must be independent of any particular coordinate system used in describing them. This requirement leads to tensor calculus. The...

A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, they...

Continuing the theme of the first, this second volume continues the study of the uses and techniques of numerical experimentation in the solution of PDEs. It includes topics such as initial-boundary-value problems, a complete...

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations.  This self-contained monograph explores all aspects of...

Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied...

This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J...

In the few years since their appearance in the mid-sixties, variational inequalities have developed to such an extent and so thoroughly that they may now be considered an "institutional" development of the theory of ...

Ce livre est une introduction claire et concise à la théorie des équations aux dérivées partielles. Il est destiné aux étudiants et aux chercheurs en mathématiques et en sciences appliquées. Avec des exemples pratiques et des exercices résolus, ce livre...

Sur les Équations Intégro-différentielles Définissant des Fonctions de Lignes est un livre sur les équations différentielles, un domaine mathématique complexe mais crucial. Paul Lévy offre une explication détaillée des équations intégro-différentielles...

Written by a renowned mathematician, Theory of Differential Equation is a comprehensive guide to the theory and applications of differential equations. With clear explanations and numerous examples, this book is appropriate for anyone with a basic...

In diesem Buch beschäftigt sich der Autor mit einer bestimmten Art von partiellen Differentialgleichungen, nämlich der Gleichung Δvk = v. Er untersucht die Eigenschaften dieser Gleichung, die in der mathematischen Physik und anderen Bereichen der...

Der siebte Band von Leibnizens mathematischen Schriften bietet eine Einführung in die Differentialgeometrie sowie Abhandlungen zur Logik und Metaphysik. Die Schriften zeigen Leibnizens breite wissenschaftliche Interessen und seine herausragende...

Casanova a écrit ce traité à l'attention des mathématiciens et des astronomes intéressés par les équations différentielles. Il y aborde en détail la résolution du problème déliaque, qui consiste à trouver les positions de la lune à partir de celles du...

This book explores the interaction between shock and rarefaction waves in one-dimensional media. The authors provide a comprehensive analysis of the behavior of these waves and their impact on the physical systems they affect.This work has been selected...

This book provides a thorough treatment of Hill's equation, a classical differential equation that arises in many areas of physics and mathematics. The authors present various methods for solving this equation, including numerical techniques and...

Dans cet ouvrage, Armand Cahen traite de la formation explicite des équations différentielles du premier ordre. Les mathématiques sont présentées de manière claire et précise pour le lecteur débutant comme pour l'expert en la matière.This work has been...

Dans ce livre, Goursat explique l'intégration des équations aux dérivées partielles du premier ordre. Il présente de manière claire et précise les méthodes d'intégration et les conditions nécessaires pour leur application. Un livre indispensable pour les...

Dieses Buch enthält eine klassische Abhandlung des deutschen Mathematikers Félix Klein über lineare Differentialgleichungen der zweiten Ordnung. Klein beschreibt darin, wie man solche Differentialgleichungen löst und welche Bedeutung sie für die...

Dans ce livre, Ernest Vessiot fournit une méthodologie pour intégrer les équations différentielles linéaires dans le domaine des mathématiques. Les lecteurs trouveront des explications claires et des exemples de l'application pratique de cette méthode,...

Explore the fascinating world of differential equations with this comprehensive guide. Featuring detailed discussions of ordinary differential equations, as well as an introduction to Lies theory of the group of one parameter, this book is the perfect...

Mathematicians and students of mathematics alike will find value in this work by Kurt Otto Friedrichs. The book explores a finite difference scheme for the Neumann and Dirichlet problems, making it a valuable resource for anyone studying differential...