Differential Calculus & Equations

This book is intended to review some recent developments in quantum field theories and integrable models. The ODE/IM correspondence, which is a non...

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of ...

This monograph provides an account of thermal convection with a focus on Cattaneos heat flux equation. Various applications of the equation are ana...

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of São Paulo, Campus Ribeirão Preto, ...

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of São Paulo, Campus Ribeirão Preto, ...

Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in vari...

Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, dif...

The process of authoring this book is inspired by the recent increased activity of research on dynamic equations on time scales and other closely r...

This proceedings volume gathers selected contributions presented at two instances of the JSPS/SAC Seminar: On Gas Kinetic/Dynamics and Life Science...

This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new c...

This book convenes and deepens generic results about spectral measures, many of them available so far in scattered literature. It starts with class...

This book contains a comprehensive collection of chapters on recent and original research, along with review articles, on mathematical modeling of ...

Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, origina...

This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful...

This text presents a comprehensive and unified treatment of nonlinear filtering theory, with a strong emphasis on its mathematical underpinnings. I...

Problem Solving is essential to solve real-world problems. Advanced Problem Solving with Maple: A First Course applies the mathematical modeling pr...

This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, whi...

A First Course in Fuzzy Logic, Fourth Edition is an expanded version of the successful third edition. It provides a comprehensive introduction to t...

This book presents a collection of significant and original contributions that delve into the realm of nonlinear evolution equations and their appl...

Mark Vishik was one of the prominent figures in the theory of partial differential equations. His ground-breaking contributions were instrumental i...

A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory p...

This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs...

The topic of this book is located at the intersection of complex analysis, operator theory and partial differential equations. It begins with resul...

This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary sin...

This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities (containers) partly filled by a li...

This monograph is a concise introduction to the stochastic calculus of variations (also known as Malliavin calculus) for processes with jumps. It i...

This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounde...

The LNCS journal Transactions on Computational Science reflects recent developments in the field of Computational Science, conceiving the field not...

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate s...

Partial differential equations (PDEs) are the main tool to describe spatially and temporally extended systems in nature. PDEs usually come with par...

This book explores the fundamental concepts of derivatives and integrals in calculus, extending their classical definitions to more advanced forms ...

This book compiles an extensive list of solved and proposed problems in mathematical topics in analysis, aimed at students of mathematics, applied ...

The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equation...

The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicabi...

Uniquely provides fully solved problems for linear partial differential equations and boundary value problems Partial Differential Equations: Theor...

This book highlights the applications of stochastic differential equations in white noise probability space to chemical reactions that occur in bio...

Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new way...

Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained so...

Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Mo...

Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate met...

This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their c...

This book is intended to provide a fast, interdisciplinary introduction to the basic results of p-adic analysis and its connections with mathematic...

This book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-ba...

Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical p...