Integral calculus and equations

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.

This book arose out of two graduate courses that the authors have taught duringthepastseveralyears;the?

Digital Signal Processing for Measurement Systems: Theory and Applications covers the theoretical as well as the practical issues which form the basis of the modern DSP-based instruments and measurement methods.

This book is a revised and expanded edition of a successful graduate and reference text.

This volume, "e;Theory and Applications of Special Functions,"e; is d- icated to Mizan Rahman in honoring him for the many important c- tributions to the theory of special functions that he has made over the years, and still continues to make.

Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications.

This work is aimed at an audience with a sound mathematical background wishing to learn about the rapidly expanding ?

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations.

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 integration.

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 integration.

Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery.

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

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses.

This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations.

This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Resume des lecons sur le calcul infinitesimal, "e;Summary of Lectures on the Infinitesimal Calculus,"e; originally written to benefit his Ecole Polytechnique students in Paris.

This multidisciplinary volume is the second in the STEAM-H series to feature invited contributions on mathematical applications in naval engineering.

This popular textbook, now in a revised and expanded third edition, presents a comprehensive course in modern probability theory.

This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure.

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces.

This volume explains how the recent advances in wavelet analysis provide new means for multiresolution analysis and describes its wide array of powerful tools.

Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery.

The Lebesgue integral is now standard for both applications and advanced mathematics.

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

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