Real analysis, real variables

A revised and updated edition, providing hundreds of exercises to help students gradually transition from school to university-level calculus.

A revised and updated edition, providing hundreds of exercises to help students gradually transition from school to university-level calculus.

For one- or two-semester junior orsenior level courses in Advanced Calculus, Analysis I, or Real Analysis.

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.

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

A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.

A unifying approach suitable for graduate students and mathematicians.

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

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

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

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

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.