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Die Suchtreffen «analysis»

Gefundene Materialen 662

Die Analysis [aˈnalyzɪs] (gr. ανάλυσις análysis „Auflösung“, altgr. ἀναλύειν ánalýein „auflösen“) ist ein Teilgebiet der Mathematik, dessen Grundlagen von Gottfried Wilhelm Leibniz und Isaac Newton unabhängig voneinander entwickelt wurden. Die grundlegende Analysis befasst sich mit Grenzwerten von Folgen und Reihen sowie mit Funktionen reeller Zahlen und deren Stetigkeit, Differenzierbarkeit und Integration. Die Methoden der Analysis sind in allen Natur- und Ingenieurwissenschaften von großer Bedeutung.

Die Verallgemeinerung des Funktionsbegriffes in der Analysis auf Funktionen mit Definitions- und Wertebereich in den komplexen Zahlen ist Bestandteil der Funktionentheorie.

Verwandte Tags: introduction, numerical, applications, functional, theory, harmonic, mathematical, complex, finite, nonlinear

Buecher: Real analysis with an introduction to wavelets
Hong D., Wang J., Gardner R., 2005

Real analysis with an introduction to wavelets


An in-depth look at real analysis and its applications, including an introduction to waveletanalysis, a popular topic in "applied real analysis". This text makes a very natural connection between the …

Buecher: Wavelet Analysis and Applications

Wavelet Analysis and Applications


This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavel…

Buecher: Analysis in Integer and Fractional Dimensions
Blei R., 2001

Analysis in Integer and Fractional Dimensions


This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It focuses on "dimension" as a b…

Buecher: The analysis of algorithms
Purdom R.W., Brown C.A., 1985

The analysis of algorithms


The purpose of this book is to teach the tequniques needed to analyze algorithms. Students should have a background in computer science up through data structures and in mathematics through calculus. …

Buecher: Clifford Algebras and Dirac Operators in Harmonic Analysis
Gilbert J., Murray M., 1991

Clifford Algebras and Dirac Operators in Harmonic Analysis


The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds, and harmonic analysis. The authors show how algebra, geometry, and differential equations p…

Buecher: Spectral theory and nonlinear functional analysis
Lopez-Gomez J., 2001

Spectral theory and nonlinear functional analysis


This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinea…




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