Integral Calculus & Equations

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...

This volume contains more than 900 problems in differential calculus, covering limits, continuity, derivatives, and their applications. The applica...

This volume contains more than 900 problems in differential calculus, covering limits, continuity, derivatives, and their applications. The applica...