Differential calculus and equations

Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena.

This book is a comprehensive collection of known results about the Lozi map, a piecewise-affine version of the Henon map.

This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences.

This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations.

Nonlinear systems with random structures arise quite frequently as mathematical models in diverse disciplines.

Input-to-State Stability presents the dominating stability paradigm in nonlinear control theory that revolutionized our view on stabilization of nonlinear systems, design of robust nonlinear observers, and stability of nonlinear interconnected control systems.

In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative.

Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences offers a unique approach to this key subject by connecting mathematical principles to the latest research advances in select topics.

Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations.

This is a textbook for a one semester course on numerical analysis for senior undergraduate or beginning graduate students with no previous knowledge of the subject.

The current form of modern approximation theory is shaped by many new de- velopments which are the subject of this series of conferences.

This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday.

This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017.

This self-contained monograph presents matrix algorithms and their analysis.

This volume provides a comprehensive review of multiple-scale dynamical systems.

In this book, the authors aim at expounding a sufficiently rich oscillation theory and asymptotic theory of operator-differential equations.

The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and Leibniz in which the question of a half-order derivative was posed.

Boundary Element Method for Plate Analysis offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design.

In the present book the conditions are studied for the semi-boundedness of partial differential operators which is interpreted in different ways.

This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24-28, 2019.

Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces.

When we first heard in the spring of 2000 that the Seminaire de matMmatiques superieures (SMS) was interested in devoting its session of the summer of 200l-its 40th-to scientific computing the idea of taking on the organizational work seemed to us somewhat remote.

This book discusses major topics and problems in finite element methods.

An engaging graduate-level introduction that bridges analysis and geometry.

This monograph guides the reader to the mathematical crossroads of heat equations and differential geometry via functional analysis.

Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications.

A Modern Introduction to Differential Equations, Third Edition, provides an introduction to the basic concepts of differential equations.

Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures.

This book is an excellent collection of various topics of mathematics which include numerical methods, integral equations, and differential equations.

In recent years flows in networks have attracted the interest of many researchers from different areas, e.

The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects.

This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch.

This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally).

This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity.

Differential algebra explores properties of solutions to systems of (ordinary or partial, linear or nonlinear) differential equations from an algebraic point of view.

The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'.

This study guide is designed for students taking a Calculus III course.

Dieses Buch bietet Lösungen zu den 240 Aufgaben aus dem Buch „Mathematik für Ingenieure und Naturwissenschaftler - Band 2: Analysis in R^n und gewöhnliche Differentialgleichungen“.

Classically developed as a tool for partial differential equations, the analysis of operators known as pseudodifferential analysis is here regarded as a possible help in questions of arithmetic.

This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil.

This book covers the theory of derivatives pricing and hedging as well as techniques used in mathematical finance.

This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials.