Differential Calculus & Equations

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...

Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most...

Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a v...

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of no...

Generation of Multivariate Hermite Interpolating Polynomials advances the study of approximate solutions to partial differential equations by prese...

This book started as a collection of lecture notes for a course in differential equations taught by the Division of Applied Mathematics at Brown Un...

The theory of linear Volterra integro-differential equations has been developing rapidly in the last three decades. This book provides an easy to r...

In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equation...

Until now, no book has systematically presented the recently developed concept of envelopes in function spaces. Envelopes are relatively simple too...

This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon. This method, called the a...

Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods...

Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse sc...

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equati...

Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how so...

Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional...

The Stieltjes derivative is a modification of the usual derivative through a nondecreasing and left-continuous map. This change in the definition a...

This book will introduce new physical approaches (include fractional derivative models, continuous time random walk methods and Hausdorff derivati...

Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mat...

The authors examine topics in modern physics and offer a unitary and original treatment of the fundamental problems of the dynamics of physical sys...

Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical system...

The main challenge in the study of nonautonomous phenomena is to understand the very complicated dynamical behaviour both as a scientific and mathe...

This study guide is designed for students taking courses in engineering mathematics and mathematical methods in science. The textbook includes prob...

From the Preface: Srinivasa Varadhan began his research career at the Indian Statistical Institute (ISI), Calcutta, where he started as a graduate ...

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

This book presents the dynamics of spinning bodies, the most confusing topic in Classical Mechanics, using both Lagrangian and Hamiltonian formulat...