Differential calculus and equations

Nonlinear Partial Differential Equations

Transmutation and Operator Differential Equations

Differential Equations and Applications

New Developments in Differential Equations

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

This book convenes peer-reviewed, selected papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Sozopol, Bulgaria, June 17-20, 2022.

This book provides a modern perspective on the analytic structure of scattering amplitudes in quantum field theory, with the goal of understanding and exploiting consequences of unitarity, causality, and locality.

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

This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations.

This handbook is the sixth and last volume in the series devoted to stationary partial differential equations.

This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity.

This book describes the direct and inverse problems of the multidimensional Schrodinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues.

This book describes the direct and inverse problems of the multidimensional Schrodinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues.

This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.

This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience.

A collection of self contained state-of-the art surveys.

This volume contains extended abstracts outlining selected presentations given by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2016 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), which was dedicated to the mathematical theory and applications of multiple scale systems and systems with hysteresis, and held at the Centre de Recerca Matematica (CRM) in Barcelona from June 13th to 17th, 2016.

This volume provides a short summary of the essentials of Lagrangian dynamics for practicing engineers and students of physics and engineering.

There is an ever increasing need for modelling complex processes reliably.

The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development.

Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches.

This monograph explores the design of controllers that suppress oscillations and instabilities in congested traffic flow using PDE backstepping methods.

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

Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery.

This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the College de France in Paris, directed by Jacques-Louis Lions.

This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-th order ordinary differential equations.

This latest volume in the Wavelets Analysis and Its Applications Series provides significant and up-to-date insights into recent developments in the field of wavelet constructions in connection with partial differential equations.

Over the past fifty years, the development of chaotic dynamical systems theory and its subsequent wide applicability in science and technology has been an extremely important achievement of modern mathematics.

The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories.

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject.

Volumes 1A and 1B.

Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations.

This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems.

The book contains seven survey papers about ordinary differential equations.

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order.

This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions.

This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations.

Banach Spaces

This book has evolved from the lecture course on Functional Analysis I had given several times at the ETH.

General Theory of C*-Algebras

The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications.

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations.

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

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations.

A collection of self contained state-of-the art surveys.

This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations.

This book gathers peer-reviewed, selected contributions from participants of the 6th International Workshop on Nonlinear and Modern Mathematical Physics (NMMP-2022), hosted virtually from June 17-19, 2022.

Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form.

Straightforward and easy to read, Zill's Differential Equations with Boundary-Value Problems, International Metric Edition, 10th Edition gives you a thorough overview of the topics typically taught in a differential equations first course as well as an introduction to boundary-value problems and partial differential equations.

Modeling has become an essential tool for the groundwater hydrologist.