Real analysis, real variables

Esta obra esta dedicada al trabajo experimental en ciencias naturales y exactas, dirigida especificamente a los estudiantes de los primeros semestres de ingenieria y areas afines, aunque resulta igualmente util para quienes finalizan la educacion media.

This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa.

The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis.

Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.

The book describes some interactions of topology with other areas of mathematics and it requires only basic background.

Most books devoted to the theory of the integral have ignored the nonabsolute integrals, despite the fact that the journal literature relating to these has become richer and richer.

This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively.

This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA.

The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent.

This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory.

No book is born in a vacuum.

Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes.

Kiyosi Ito, the founder of stochastic calculus, is one of the few central figures of the twentieth century mathematics who reshaped the mathematical world.

This textbook introduces readers to the mathematical topics fundamental for the study of economics through a combination of formal definitions, theorems, and proofs, including intuitive and easy-to-follow explanations and visualizations.

This textbook introduces readers to the mathematical topics fundamental for the study of economics through a combination of formal definitions, theorems, and proofs, including intuitive and easy-to-follow explanations and visualizations.

This book is an English translation of the last French edition of Bourbaki's Fonctions d'une Variable Reelle.

This book examines the symbiotic interplay between fully nonlinear elliptic partial differential equations and general potential theories of second order.

This book examines the symbiotic interplay between fully nonlinear elliptic partial differential equations and general potential theories of second order.

This book presents a concise introduction to real and complex number systems and metric space theory.

This book presents a concise introduction to real and complex number systems and metric space theory.

This book offers several topics of mathematical analysis which are closely connected with significant properties of real-valued functions of various types (such as semi-continuous functions, monotone functions, convex functions, measurable functions, additive and linear functionals, etc.

This book presents the new fascinating area of continuous inequalities.

This book presents the new fascinating area of continuous inequalities.

This book offers several topics of mathematical analysis which are closely connected with significant properties of real-valued functions of various types (such as semi-continuous functions, monotone functions, convex functions, measurable functions, additive and linear functionals, etc.

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

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.

This book provides an introduction to real analysis, a fundamental topic that is an essential requirement in the study of mathematics.

This concise textbook introduces calculus students to power series through an informal and captivating narrative that avoids formal proofs but emphasizes understanding the fundamental ideas.

This concise textbook introduces calculus students to power series through an informal and captivating narrative that avoids formal proofs but emphasizes understanding the fundamental ideas.

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

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

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

This brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus.

This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications.

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 book aims to establish a foundation for fractional derivatives and fractional differential equations.

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

This brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus.