Real analysis, real variables

This book investigates sequences and series with a clear and focused approach, presenting key theoretical concepts alongside a diverse range of examples and proposed problems, complete with solutions.

This book investigates sequences and series with a clear and focused approach, presenting key theoretical concepts alongside a diverse range of examples and proposed problems, complete with solutions.

This book establishes a comprehensive theory to treat square roots of elliptic systems incorporating mixed boundary conditions under minimal geometric assumptions.

This book establishes a comprehensive theory to treat square roots of elliptic systems incorporating mixed boundary conditions under minimal geometric assumptions.

A strong foundation in real analysis gives students a broadly-applicable skill set in deductive reasoning and analytical math, strengthening the creative thought processes required to extend ideas to new situations.

En este libro se presenta los fundamentos del Cálculo Diferencial de funciones de una variable real.

En este libro se presenta los fundamentos del Cálculo Diferencial de funciones de una variable real.

This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms.

This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms.

This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization.

Este libro estudia el fascinante campo de las integrales múltiples donde se han incluido muchos gráficos de apoyo.

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

Nichts ist so einfach wie im Supermarkt einkaufen zu gehen.

This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area.

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

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.

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

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

Advanced Data Analysis and Modeling in Chemical Engineering provides the mathematical foundations of different areas of chemical engineering and describes typical applications.

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

With a useful index of notations at the beginning, this book explains and illustrates the theory and application of data analysis methods from univariate to multidimensional and how to learn and use them efficiently.

This textbook presents a wide range of tools for a course in mathematical optimization for upper undergraduate and graduate students in mathematics, engineering, computer science, and other applied sciences.

This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration.

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

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

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

This textbook offers an extensive list of completely solved problems in mathematical analysis.

This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks.

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world.

This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration.

This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses.

This volume is part of the collaboration agreement between Springer and the ISAAC society.

A typical source of mistakes that frequently lead to a wrong or incomplete solution for the antiderivative of a given real function of one real variable is a misuse of the technique of change of variable.

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

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

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.

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.

Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations.

Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations.

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.

Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings.

An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook.

Building on the basic concepts through a careful discussion of covalence, (while adhering resolutely to sequences where possible), the main part of the book concerns the central topics of continuity, differentiation and integration of real functions.

The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations.

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.