Real analysis, real variables

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

A rigorous introduction to real analysis for undergraduates.

A rigorous introduction to real analysis for undergraduates.

First course calculus texts have traditionally been either engineering/science-oriented with too little rigor, or have thrown students in the deep end with a rigorous analysis text.

First course calculus texts have traditionally been either engineering/science-oriented with too little rigor, or have thrown students in the deep end with a rigorous analysis text.

An in-depth look at real analysis and its applications-now expanded and revised.

An accessible introduction to real analysis and its connection to elementary calculus Bridging the gap between the development and history of real analysis, Introduction to Real Analysis: An Educational Approach presents a comprehensive introduction to real analysis while also offering a survey of the field.

Modern Real and Complex Analysis Thorough, well-written, and encyclopedic in its coverage, this textoffers a lucid presentation of all the topics essential to graduatestudy in analysis.

This book presents the probabilistic methods around Hardy martingales for applications to complex, harmonic, and functional analysis.

This user-friendly textbook follows Weierstrass'' approach to offer a self-contained introduction to complex analysis.

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

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

A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.

A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.

A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.

A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

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

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

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

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

The third volume of three providing a full and detailed account of undergraduate mathematical analysis.

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

The third volume of three providing a full and detailed account of undergraduate mathematical analysis.

The first volume of three providing a full and detailed account of undergraduate mathematical analysis.

The first volume of three providing a full and detailed account of undergraduate mathematical analysis.

The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.

A lively and engaging look at some of the ideas, techniques and elegant results of Fourier analysis, and their applications.

A study of large deviations for empirical measures and vector-valued additive functionals of general state space Markov chains.

This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.

This lucid and balanced introduction for first year engineers and applied mathematicians conveys the clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions.

This text for advanced undergraduates and graduates reading applied mathematics, electrical, mechanical, or control engineering, employs block diagram notation to highlight comparable features of linear differential and difference equations, a unique feature found in no other book.

This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors.

This modern introduction to infinitesimal methods is a translation of the book Metodos Infinitesimais de Analise Matematica by Jose Sousa Pinto of the University of Aveiro, Portugal and is aimed at final year or graduate level students with a background in calculus.

Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions.

An informative and useful account of complex numbers that includes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the ever-elusory Riemann hypothesis.

Delta Functions has now been updated, restructured and modernised into a second edition, to answer specific difficulties typically found by students encountering delta functions for the first time.

Hypersingular Integral Equations in Fracture Analysis explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations.

The modern subject of differential forms subsumes classical vector calculus.

One of the bedrocks of any mathematics education, the study of real analysis introduces students both to mathematical rigor and to the deep theorems and counterexamples that arise from such rigor: for instance, the construction of number systems, the Cantor Set, the Weierstrass nowhere differentiable function, and the Weierstrass approximation theorem.

The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass.

The present volume is a collection of papers mainly concerning Phase Space Analysis,alsoknownasMicrolocal Analysis,anditsapplicationstothetheory of Partial Di?

In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus.

This monograph isdevoted to a special area ofBanach space theory-the Kothe- Bochner function space.

A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis.

The term convexity used to describe these lectures given at the Univer- sity of Lund in 1991-92 should be understood in a wide sense.