Integral calculus and equations

This book highlights the current state of Lyapunov-type inequalities through a detailed analysis.

This book provides an introduction to the basic ideas and tools used in mathematical analysis.

The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering.

This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems.

Classical in its approach, this textbook is thoughtfully designed and composed in two parts.

This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes.

This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations.

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2013.

This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations.

This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014.

Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems.

This book describes mathematical techniques for integral transforms in a detailed but concise manner.

This monograph is an annotated translation of what is considered to be the world's first calculus textbook, originally published in French in 1696.

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined.

This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering.

This book focuses on solving integral equations with difference kernels on finite intervals.

The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied.

This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers.

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2013.

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

This is the revised and enlarged 2nd edition of the authors' original text, which was intended to be a modest complement to Grenander's fundamental memoir on stochastic processes and related inference theory.

Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community.

This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences.

This is a monograph devoted to recent research and results on dynamic inequalities on time scales.

Exercises in Analysis will be published in two volumes.

The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book.

The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis.

The book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields.

Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work.

This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems.

This well-illustrated book, by two established historians of school mathematics, documents Thomas Jefferson's quest, after 1775, to introduce a form of decimal currency to the fledgling United States of America.

This monograph provides a self-contained and easy-to-read introduction to non-commutative multiple-valued logic algebras; a subject which has attracted much interest in the past few years because of its impact on information science, artificial intelligence and other subjects.

In this book mathematical techniques for integral transforms are described in detail but concisely.

This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method.

This 2nd edition textbook offers a rigorous introduction to measure theoretic probability with particular attention to topics of interest to mathematical statisticians-a textbook for courses in probability for students in mathematical statistics.

No detailed description available for "e;Singular Integral Equations' Methods for the Analysis of Microwave Structures"e;.

This book develops integral identities, mostly involving multidimensional functions and infinite limits of integration, whose evaluations are intractable by common means.

No detailed description available for "e;Logarithmic Integral Equations in Electromagnetics"e;.

This proceedings volume features selected contributions from the conference Positivity X.

This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems.

This textbook introduces readers to the fundamental notions of modern probability theory.

This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums.

The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball.

This book contains plenary lectures given at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation, dealing with three very different problems: reduction of Runge and Gibbs phenomena, difficulties arising when studying models that depend on the highly nonlinear behaviour of a system of PDEs, and data fitting with truncated hierarchical B-splines for the adaptive reconstruction of industrial models.