Integral calculus and equations

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non)equivalence problem, and presents recent results in this field.

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.

The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics.

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

This volume is part of the collaboration agreement between Springer and the ISAAC society.

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

This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language.

Analytic Extension is a mysteriously beautiful property of analytic functions.

This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus - a major, emerging tool relevant to all areas of scientific inquiry.

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 contains a brief historical introduction and state of the art in fractional calculus.

Probability theory from the ground up, with an emphasis on finance applications.

In many scientific or engineering applications, where ordinary differen- tial equation (OOE),partial differential equation (POE), or integral equation (IE) models are involved, numerical simulation is in common use for prediction, monitoring, or control purposes.

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

The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

Now in its third edition, this outstanding textbook explains everything you need to get started using MATLAB®.

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

This introduction to the few-body problem progresses from two-body motion and classical planetary dynamics to modern numerical methods.

Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations.

It is widely recognized, by the scienti?

This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

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.

Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups.

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

This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions.

This volume comprises state-of-the-art articles in discrete integrable systems.

In 1992 we published a book entitled Fuzzy Measure Theory (Plenum Press, New York), in which the term 'fuzzy measure' was used for set functions obtained by replacing the additivity requirement of classical measures with weaker requirements of monotonicity with respect to set inclusion and con- nuity.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects.

This study guide is designed for students taking courses in precalculus.

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.

In this book the author presents a new approach to the study of weakly structurable dynamic systems.

The calculus has been one ofthe areas of mathematics with a large number of significant applications since its formal development in the seventeenth century.

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.

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type.

Since the appearance of seminal works by R.

This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory.

We deal in this work with quantitative results in the pointwise approximation of func- tions by positive linear functionals and operators.

A breakthrough approach to the theory and applications of stochastic integration The theory of stochastic integration has become an intensely studied topic in recent years, owing to its extraordinarily successful application to financial mathematics, stochastic differential equations, and more.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds-hence the term the Radon transform.

This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research.

This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel.