Real analysis, real variables

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.

This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems.

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

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

This is a self-contained textbook of the theory of Besov spaces and Triebel-Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis.

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.

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.

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

There are two aspects in the theory of Boolean algebras: algebraic and set-theoretical.

Die Entwicklung, in welcher sich die Theorie der reellen Funktionen seit einiger Zeit befindet, betrifft vor allem die allgemeinen Begriffe.

This book is first of all designed as a text for the course usually called "e;theory of functions of a real variable"e;.

One-dimensional dynamics has developed in the last decades into a subject in its own right.

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

Engineers and physicists are more and more encountering integrations involving nonelementary integrals and higher transcendental functions.

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces.