Integral Calculus & Equations

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 comprehensive textbook on linear integral equations and integral transforms is aimed at senior undergraduate and graduate students of mathemat...

The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch th...

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

An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integr...

This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability ...

Brownian motion is an important topic in various applied fields where the analysis of random events is necessary. Introducing Brownian motion from ...

This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory,...

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

This monograph delves into the theory of time-fractional diffusion and wave equations, presenting a comprehensive exploration of recent advancement...

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimat...

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

This book covers major measure theory topics with a fairly extensive study of their applications to probability and analysis. It begins by demonstr...

Targeted to upper-undergraduate and graduate students of mathematics, this book discusses special integrals and their applications in finding certa...

The book compiles works presented at a seminar aiming to attract global experts in differential equations, mathematical modeling, and integration m...

This comprehensive textbook explores the topics of vector functions and functions of several variables. With over 500 exercises and problems, caref...

Designed for senior undergraduate and graduate students in mathematics, this textbook offers a comprehensive exploration of measure theory and inte...

This book aims to present some recent results on Prandtl equations and MHD boundary layer equations. This book is essentially divided into two par...

This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of ...

This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of ...

This book targets graduate students and researchers who want to learn about Lebesgue spaces and solutions to hyperbolic equations. It is divided in...

This book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and ...

This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on t...