Integral calculus and equations

This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena.

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

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

This book considers methods of approximate analysis of mechanical, elec- tromechanical, and other systems described by ordinary differential equa- tions.

We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems.

This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings.

This contributed volume collects papers presented during a special session on integral methods in science and engineering at the 2023 International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE), held in Cadiz, Spain from July 3-8, 2023.

This textbook offers an extensive list of completely solved problems in mathematical analysis.

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

Computational Techniques for the Summation of Series is a text on the representation of series in closed form.

Introduction We have been experiencing since the 1970s a process of "e;symplectization"e; of S- ence especially since it has been realized that symplectic geometry is the natural language of both classical mechanics in its Hamiltonian formulation, and of its re?

Integrals and sums are not generally considered for evaluation using complex integration.

This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications.

Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo- metry.

This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L2-spaces.

This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based.

This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation.

The aim of this book is to give a systematic study of questions con- cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems.

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) with minimal assumptions on the generating F-function.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.

This classroom-tested text is intended for a one-semester course in Lebesgue's theory.

This book discusses the numerical treatment of delay differential equations and their applications in bioscience.

Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras.

"e;.

Neural field theory has a long-standing tradition in the mathematical and computational neurosciences.

Das Lebesgue-Integral ist ein essentielles Werkzeug für Analysis und Stochastik und damit für viele Bereiche, in denen Mathematik zum Einsatz kommt.

In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods.

This text is an introduction to the modern theory and applications of probability and stochastics.

This self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables.

This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016.

The contents of this monograph fall within the general area of nonlinear functional analysis and applications.

The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago.

The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada - Azores, from July 4-8, 2011 in honor of Professor Ravi P.

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017.

In 2013, a school on Geometric Measure Theory and Real Analysis, organized by G.

This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference "e;Dynamical Systems: Theory and Applications"e;, held in Lodz, Poland on December 2-5, 2019.

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

Noncommutative differential geometry is a new approach to classical geometry.

Integration in infinitely dimensional spaces (continual integration) is a powerful mathematical tool which is widely used in a number of fields of modern mathematics, such as analysis, the theory of differential and integral equations, probability theory and the theory of random processes.

Differential forms satisfying the A-harmonic equations have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds.

The material accumulated and presented in this volume can be ex- plained easily.

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory.