Differential calculus and equations

Partial Differential Equations: Topics in Fourier Analysis explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models.

The aim of this book is to present hyperbolic partial di?

This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance.

This textbook introduces the study of partial differential equations using both analytical and numerical methods.

This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017.

Modeling and Inverse Problems in the Presence of Uncertainty collects recent research-including the authors' own substantial projects-on uncertainty propagation and quantification.

Vector Fields with Applications to Thermodynamics and Irreversibility is part of the series "e;Mathematics and Physics for Science and Technology"e;, which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results.

This book presents asymptotic methods for boundary-value problems (linear and semilinear, elliptic and parabolic) in so-called thick multi-level junctions.

Approach your problems from the right end It isn't that they can't see the solution.

This book collects contributions to the conference"e; Dynamics, Bifurcation and Symmetry, new trends and new tools"e;, which was held at the Institut d'Etudes Sci- entifiques de Cargese (France), September 3-9, 1993.

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983).

In this monograph stochastic models of systems analysis are discussed.

This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization.

An ideal companion to the new 4th Edition of Nonlinear Ordinary Differential Equations by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations.

The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations.

This book is a compilation of several works from well-recognized figures in the field of Representation Theory.

This Festschrift contains five research surveys and thirty-four shorter contributions by participants of the conference 'Stochastic Partial Differential Equations and Related Fields' hosted by the Faculty of Mathematics at Bielefeld University, October 10-14, 2016.

In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension.

This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs.

This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces.

Nonlinear dynamics is still a hot and challenging topic.

Microlocal Analysis has proven to be a powerful tool for analyzing and solving inverse problems; including answering questions about stability, uniqueness, recovery of singularities, etc.

This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals.

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This book is a follow-up to the introductory text written by the same authors.

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.

Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death.

This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces.

In this text, a theory for general linear parabolic partial differential equations is established which covers equations with inhomogeneous symbol structure as well as mixed-order systems.

In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies.

A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs).

This book has been designed for a one-year graduate course on boundary value problems for students of mathematics, engineering, and the physical sciences.

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction.

"e;Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus.

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Exploring the relationship between mathematics and ecology, Spatial Ecology focuses on some important emerging challenges in the field.

Ordinary differential equations (ODEs), differential-algebraic equations (DAEs) and partial differential equations (PDEs) are among the forms of mathematics most widely used in science and engineering.

Este es un libro que al experto no se le cae de las manos; pero lo más sorprendente es que el estudiante pronto se da cuenta de que se trata de un texto escrito para él y para su provecho.

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

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This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability.

The development of dynamics theory began with the work of Isaac Newton.

Volume 2 of the classic advanced calculus text Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math.

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems.