Real analysis, real variables

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

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

This book presents a compact and self-contained introduction to the theory of measure and integration.

Modern text examining the interplay between measure theory and Fourier analysis.

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

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

This book provides an introduction to the basic ideas and tools used in mathematical analysis.

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

This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions.

This second edition provides a thorough introduction to contemporary convex function theory with many new results.

The present volume contains all the exercises and their solutions for Lang's second edition of Undergraduate Analysis.

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

This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics.

Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees.

In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory.

Dieses Lehrbuch vermittelt dem Leser ein solides Basiswissen, wie es für weite Bereiche der Mathematik unerläßlich ist, insbesondere für die reelle Analysis, Funktionalanalysis, Wahrscheinlichkeitstheorie und mathematische Statistik.

Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees.

This monograph uncovers the full capabilities of the Riemann integral.

This user-friendly textbook follows Weierstrass'' approach to offer a self-contained introduction to complex analysis.

A new construction is given for approximating a logarithmicpotential by a discrete one.

This Student Guide is exceptional, maybe even unique, among such guides in that its author, Fred Soon, was actually a student user of the textbook during one of the years we were writing and debugging the book.

This volume is devoted to the "e;hyperbolic theory"e; of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra- jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less "e;significant"e; subsets in the phase space.

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

This textbook covers key topics of Elementary Calculus through selected exercises, in a sequence that facilitates development of problem-solving abilities and techniques.

This book is about the rise and supposed fall of the mean value theorem.

The main topics of this book are convergence and topologization.

From the point of view of strict logic, a rigorous course on real analysis should precede a course on calculus.

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

Diese Einführung in die Analysis orientiert sich in ihrem Aufbau an der zeitlichen Entwicklung der Themen.

The purpose, level, and style of this new edition conform to the tenets set forth in the original preface.

This book may be considered a continuation of my Springer-Verlag text Mea- sure, Topology, and Fractal Geometry.

Integral geometry deals with the problem of determining functions by their integrals over given families of sets.

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology.

This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree.

The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured.

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.

This monograph is devoted to a rapidly developing area of research of the qualitative theory of difference and functional differential equations.

From the reviews: "e;Volumes III and IV complete L.