Real analysis, real variables

Optimal control theory has numerous applications in both science and engineering.

An Introduction to Complex Analysis in Several Variables

This book may be considered a continuation of my Springer-Verlag text Mea- sure, Topology, and Fractal Geometry.

A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.

This book contains a selection of papers presented at the conference on High Performance Software for Nonlinear Optimization (HPSN097) which was held in Ischia, Italy, in June 1997.

This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering.

This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.

This book provides an introduction to real analysis, a fundamental topic that is an essential requirement in the study of mathematics.

Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis - providing a mathematically sophisticated introduction to functional analytical concepts.

This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics.

Research in the theory of trigonometric series has been carried out for over two centuries.

The main topics of this book are convergence and topologization.

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis.

This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes.

Designed for senior undergraduate and graduate students in mathematics, this textbook offers a comprehensive exploration of measure theory and integration.

Analysis in spaces with no a priori smooth structure has progressed to include concepts from the first order calculus.

This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums.

The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak-Orlicz Hardy-type function spaces, and to lay the foundations for further applications.

Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.

All the existing books in Infinite Dimensional Complex Analysis focus on the problems of locally convex spaces.

The contributions in this volume aim to deepenunderstanding of some of the current research problems and theories inmodern topics such as calculus of variations, optimization theory, complexanalysis, real analysis, differential equations, andgeometry.

A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms.

This brief explores the Krasnosel'skii-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods.

The last fifty years have witnessed several monographs and hundreds of research articles on the theory, constructive methods and wide spectrum of applications of boundary value problems for ordinary differential equations.

The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains.

Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades.

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

This textbook offers a rigorous presentation of mathematics before the advent of calculus.

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.

One of the authors' stated goals for this publication is to "e;modernize"e; the course through the integration of Mathematica.

In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed.

A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.

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This contributed volume showcases research and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics.

This monograph represents a summary of our work in the last two years in applying the method of simulated annealing to the solution of problems that arise in the physical design of VLSI circuits.

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

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

A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

This book which is the outcome of a NATO-Advanced Study Institute on Mod- elling the Ocean Circulation and Geochemical Tracer Transport is concerned with using models to infer the ocean circulation.

Intended for a one- or two-semester course, this text applies basic, one-variable calculus to analyze the motion both of planets in their orbits as well as interplanetary spacecraft in their trajectories.