Differential Calculus & Equations

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...