Differential Calculus & Equations

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...

This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The c...

Was ist Mathematik? auf diese Frage gibt dieses dicke Buch zahllose Antworten. Mathematik ist eben viel mehr als ein Schul- und Studienfach oder R...

This book presents a collection of high-quality papers in applied and numerical mathematics, as well as approximation theory, all closely related t...

Error Control, Adaptive Discretizations, and Applications, Volume 59, Part Two highlights new advances in the field, with this new volume presentin...

This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference wa...

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

It is a longstanding unsolved problem to characterize the optimal feedbacks for general SLQs (i.e., stochastic linear quadratic control problems) w...

Corresponding to the link of Itô's stochastic differential equations (SDEs) and linear parabolic equations, distribution dependent SDEs (DDSDEs) ch...

This textbook proposes an informal access to the most important issues of multidimensional differential and integral calculus. The traditional styl...

A fully updated textbook on linear systems theoryLinear systems theory is the cornerstone of control theory and a well-established discipline that...

This volume provides a unified approach to the problem of exact multiplicity and global bifurcation of semilinear elliptic equations, demonstrating...

This volume collects papers based on plenary and invited talks given at the 50th Barrett Memorial Lectures on Approximation, Applications, and Anal...

This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on...

This book introduces the reader to the study of Hamiltonian systems, focusing on the stability of autonomous and periodic systems and expanding to ...

This book provides a complete round-up of developments concerned with the application of partial moments in system identification and data-driven m...

It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscill...

Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to he...

This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. The author acc...

Mainly addressed to researchers in the fields of generalized measure theory, nonlinear integrals, nonlinear functional analysis, and nonlinear appr...

This book explores boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations...

This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting prob...

This book discusses the generalized Duffing equation and its periodic perturbations, with special emphasis on the existence and multiplicity of per...