Differential calculus and equations

Provides a careful and accessible exposition of initial boundary value problems for semilinear differential equations.

The present book develops the mathematical and numerical analysis of linear, elliptic and parabolic partial differential equations (PDEs) with coefficients whose logarithms are modelled as Gaussian random fields (GRFs), in polygonal and polyhedral physical domains.

This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues.

This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics.

This monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have been working on with a lot of collaborators over 15 years.

This volume convenes selected, peer-reviewed papers presented at the international workshop dedicated to Dr.

This monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory.

This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications.

Elementary Number Theory, 6th Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets.

This volume includes several invited lectures given at the International Workshop "e;Analysis, Partial Differential Equations and Applications"e;, held at the Mathematical Department of Sapienza University of Rome, on the occasion of the 70th birthday of Vladimir G.

The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math.

In nonlinear problems, essentially new phenomena occur which have no place in the corresponding linear problems.

The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics.

This volume contains the proceedings of a satellite conference of the 1990 International Congress of Mathematicians.

The theory of integral and integrodifferential equations has ad- vanced rapidly over the last twenty years.

This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics.

Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow.

Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications.

Building on introductory calculus courses, this text provides a sound foundation in the underlying principles of ordinary differential equations.

Qualitative Estimates For Partial Differential Equations: An Introduction describes an approach to the use of partial differential equations (PDEs) arising in the modelling of physical phenomena.

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics.

This book collects up-to-date papers from world experts in a broad variety of relevant applications of approximation theory, including dynamical systems, multiscale modelling of fluid flow, metrology, and geometric modelling to mention a few.

This proceedings volume contains peer-reviewed, selected papers and surveys presented at the conference Spectral Theory and Mathematical Physics (STMP) 2018 which was held in Santiago, Chile, at the Pontifical Catholic University of Chile in December 2018.

This book presents a systematic course on general orthogonal polynomials and Fourier series in orthogonal polynomials.

The present book ';Fundamentals of Differential Equation' presents the basic theory of differential equations and offers a variety of modern applications in science and engineering.

This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems.

The Green function has played a key role in the analytical approach that in recent years has led to important developments in the study of stochastic processes with jumps.

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

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline.

This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems.

This is the first part of the second revised and extended edition of the well established book "e;Function Spaces"e; by Alois Kufner, Oldrich John, and Svatopluk Fucik.

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

The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations.

This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations.

These proceedings concentrate on recent results in the following fields of complex analysis: complex methods for solving boundary value problems with piecewise smooth boundary data, complex methods for linear and nonlinear differential equations and systems of second order, and applications of scales of Banach spaces to initial value problems.

Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory.

Polymers are substances made of macromolecules formed by thousands of atoms organized in one (homopolymers) or more (copolymers) groups that repeat themselves to form linear or branched chains, or lattice structures.

The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "e;Topological Methods in Differential Equations and Inclusions"e;.

The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time asymptotics of reversible diffusions in random media and other basic models of statistical physics.

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences.

This book develops a full theory for hinged beams and degenerate plates with multiple intermediate piers with the final purpose of understanding the stability of suspension bridges.

This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology.

This monograph presents a modern treatment of (1) stochastic differential equations and (2) diffusion and jump-diffusion processes.