Integral Calculus & Equations

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, ...

This is an invaluable book that presents the original work published in French, in 1904, by Henry Leon Lebesgue, the creator of the theory of integ...

Unlock the intricate language of signals and systems with this in-depth exploration of Fourier and Laplace transforms. Designed for advanced underg...

This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their app...

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

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...

The concept of Wiener chaos generalizes to an infinite-dimensional setting the properties of orthogonal polynomials associated with probability di...

This book presents an introduction to the theory of first order partial dynamic equations (PDEs) on time scales. The book is primarily intended for...

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the cla...

From Measures to Itô Integrals gives a clear account of measure theory, leading via L2-theory to Brownian motion, Itô integrals and a brief look at...

Using numerical integration, it is possible to predict the individual motions of a group of a few celestial objects interacting with each other gra...

The flourishing theory of classical optimal transport concerns mass transportation at minimal cost. This book introduces the reader to optimal tran...

This volume presents an introductory course on differential stochastic equations and Malliavin calculus. The material of the book has grown out of ...

Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM fields. T...

The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit...

This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible appro...

Integrable dynamical systems are usually associated with Hamiltonian ones. The present book considers the bigger class of systems which are not (at...

Integrable dynamical systems are usually associated with Hamiltonian ones. The present book considers the bigger class of systems which are not (at...

This textbook offers an approachable introduction to measure-theoretic probability, illustrating core concepts with examples from statistics and en...

This textbook offers a complete one-semester course in probability, covering the essential topics necessary for further study in the areas of proba...

In this textbook on calculus of one variable, applications to the natural sciences play a central role. Examples from biology, chemistry, and physi...

Divided into two self-contained parts, this textbook is an introduction to modern real analysis. More than 350 exercises and 100 examples are integ...