Real analysis, real variables

This book presents eleven peer-reviewed papers from the 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2017) held in Tbilisi, Georgia in December 2017.

Fourier analysis has many scientific applications - in physics, number theory, combinatorics, signal processing, probability theory, statistics, option pricing, cryptography, acoustics, oceanography, optics and diffraction, geometry, and other areas.

This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type.

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics.

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations.

This classic text offers a clear exposition of modern probability theory.

A unifying approach suitable for graduate students and mathematicians.

This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning - the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series.

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

Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Gruss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions.

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations.

The theory of series in the 17th and 18th centuries poses several interesting problems to historians.

Part one of a comprehensive text on multidimensional real analysis, including numerous exercises with partial solutions.

In the course of over thirty years of research in various fields of physics and teaching experimental physics to undergraduate and graduate students of physics, mathematics, electrical engineering, chemistry and natural sciences I missed an introductory comprehensive book on the mathematics of linear and nonlinear oscillations and waves from the point of view of physicists and engineers.

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

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

This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables.

This book provides a concise and meticulous introduction to functional analysis.

The main subject of the monograph is the fractional calculus in the discrete version.

This textbook introduces readers to real analysis in one and n dimensions.

Analysis of Variance, Design, and Regression: Linear Modeling for Unbalanced Data, Second Edition presents linear structures for modeling data with an emphasis on how to incorporate specific ideas (hypotheses) about the structure of the data into a linear model for the data.

The core of this book, Chapters three through five, presents a course on metric, normed, and Hilbert spaces at the senior/graduate level.

One of the fundamental ideas of mathematical analysis is the notion of a function; we use it to describe and study relationships among variable quantities in a system and transformations of a system.

The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function.

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A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level.

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

Approach your problems from the right end It isn't that they can't see the solution.

This text provides the first comprehensive treatment of the discrete fractional calculus.

Examples and Theorems in Analysis takes a unique and very practical approach to mathematical analysis.

This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence.

Graduate text covering the theory of Hardy spaces from its origins to the present, with concrete applications and solved exercises.

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

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 is a self-contained textbook of the theory of Besov spaces and Triebel-Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis.

Introduction to singularity theory based on MSc course taught by author; novel synthesis, with new results not found elsewhere.

A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

Offering a concise collection of MatLab programs and exercises to accompany a third semester course in multivariable calculus, A MatLab Companion for Multivariable Calculus introduces simple numerical procedures such as numerical differentiation, numerical integration and Newton's method in several variables, thereby allowing students to tackle realistic problems.

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.

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.

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory.

This book explains the notion of Brakke's mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory.

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