Real analysis, real variables

This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions.

Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity.

Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics.

This book develops the foundations of "e;summability calculus"e;, which is a comprehensive theory of fractional finite sums.

This book documents the history of pi from the dawn of mathematical time to the present.

The approach taken by this book is based on two beliefs.

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

Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook.

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

This book serves as a textbook in real analysis.

This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations.

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

This volume of the Proceedings of the congress ISAAC '97 collects the con- tributions of the four sections 1.

This book is an introductory text on real analysis for undergraduate students.

Integrals and sums are not generally considered for evaluation using complex integration.

This textbook originates from a course taught by the late Ken Ireland in 1972.

This book is a textbook for graduate or advanced undergraduate students in mathematics and (or) mathematical physics.

Basic Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established.

There are good reasons to believe that nonstandard analysis, in some ver- sion or other, will be the analysis of the future.

A rigorous introduction to real analysis for undergraduates.

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

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.

This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics.

This book provides analytic tools to describe local and global behavior of solutions to Ito-stochastic differential equations with non-degenerate Sobolev diffusion coefficients and locally integrable drift.

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

There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical.

The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn.

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Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete.

This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S.

This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S.

This book has grown from notes used by the authors to instruct fast transform classes.

The modern subject of differential forms subsumes classical vector calculus.

Part two of comprehensive text on multidimensional real analysis.

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints.

This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions.

The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions.

Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems.

This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks.

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions.