Real analysis, real variables

Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated.

This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces.

A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.

Intended for a one- or two-semester course, this text applies basic, one-variable calculus to analyze the motion both of planets in their orbits as well as interplanetary spacecraft in their trajectories.

This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly.

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

The present volume is a collection of papers mainly concerning Phase Space Analysis,alsoknownasMicrolocal Analysis,anditsapplicationstothetheory of Partial Di?

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

This book provides new contributions to the theory of inequalities for integral and sum, and includes four chapters.

In the pages that follow there are: A.

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

Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras.

Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time.

No book is born in a vacuum.

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

The goal of this text is to help students leam to use calculus intelligently for solving a wide variety of mathematical and physical problems.

With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958.

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

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 a rigorous treatment of multivariable differential and integral calculus.

A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.

This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Caratheodory Theorem.

Although much of classical ergodic theory is concerned with single transformations and one-parameter flows, the subject inherits from statistical mechanics not only its name, but also an obligation to analyze spatially extended systems with multidimensional symmetry groups.

This book provides an in depth discussion of Loewner's theorem on the characterization of matrix monotone functions.

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

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration.

What differential calculus, and, in general, analysis ofthe infinite, might be can hardly be explainedto those innocent ofany knowledge ofit.

Banach spaces and algebras are a key topic of pure mathematics.

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

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

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

This is the second edition of an undergraduate one-variable analysis text.

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.

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

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

Number and geometry are the foundations upon which mathematics has been built over some 3000 years.

Dem erfolgreichen Konzept von Analysis I folgend, wird auch im zweiten Teil dieses zweibändigen Analysis-Werkes viel Wert auf historische Zusammenhänge, Ausblicke und die Entwicklung der Analysis gelegt.

This book presents eleven peer-reviewed papers from the 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2017) held in Tbilisi, Georgia in December 2017.

The term convexity used to describe these lectures given at the Univer- sity of Lund in 1991-92 should be understood in a wide sense.

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.