Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Hauptmenü
-
Einfache Suche
.
Erweiterte Suche
.
Zeitschriften-Suche
.
Suchergebnisse verfeinern
.
Präferenzen
.
Search Menu
Einfache Suche
.
Erweiterte Suche
.
Suche nach Neuerwerbungen
.
Zeitschriften-Suche
.
Suchergebnisse verfeinern
.
Bottom Menu
Hilfe
Italienisch
.
Englisch
.
Deutsch
.
New Item Menu
Suche nach Neuerwerbungen
.
Neuerwerbungsliste
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
Sie befinden sich hier
:
>
Search Refine
>
Regalbrowser
Katalogdatenanzeige
Katalogdatenanzeige
Vorheriger Titel
.
A Handbook of Real Variables: With Applications to Differential Equations and Fourier Analysis
.
Bookmark this Record
Katalogdatensatz46513
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Buchsuche
.
.
Amazon Books
.
Kataloginformation
Katalogdatensatz46513
.
Besprechungen
Katalogdatensatz46513
.
British Library
Resolver for RSN-46513
Google Scholar
Resolver for RSN-46513
WorldCat
Resolver for RSN-46513
Catalogo Nazionale SBN
Resolver for RSN-46513
GoogleBooks
Resolver for RSN-46513
ICTP Library
Resolver for RSN-46513
.
Link gemeinsam nutzen
Gehe zu Link
Kataloginformation
Feldname
Details
Dewey Class
515.8
Titel
A Handbook of Real Variables ([EBook]) : With Applications to Differential Equations and Fourier Analysis / by Steven G. Krantz.
Verfasser
Krantz, Steven George , 1951-
Other name(s)
SpringerLink (Online service)
Veröffentl
Boston, MA : Birkhäuser , 2004.
Physical Details
XIII, 201 pages : online resource.
ISBN
9780817681289
Summary Note
The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass. Real analysis grew up as a way to make the calculus rigorous. Today the two subjects are intertwined in most people's minds. Yet calculus is only the first step of a long journey, and real analysis is one of the first great triumphs along that road. In real analysis we learn the rigorous theories of sequences and series, and the profound new insights that these tools make possible. We learn of the completeness of the real number system, and how this property makes the real numbers the natural set of limit points for the rational numbers. We learn of compact sets and uniform convergence. The great classical examples, such as the Weierstrass nowhere-differentiable function and the Cantor set, are part of the bedrock of the subject. Of course complete and rigorous treatments of the derivative and the integral are essential parts of this process. The Weierstrass approximation theorem, the Riemann integral, the Cauchy property for sequences, and many other deep ideas round out the picture of a powerful set of tools.:
Contents note
Basics -- Sets -- Operations on Sets -- Functions -- Operations on Functions -- Number Systems -- Countable and Uncountable Sets -- Sequences -- to Sequences -- Limsup and Liminf -- Some Special Sequences -- Series -- to Series -- Elementary Convergence Tests -- Advanced Convergence Tests -- Some Particular Series -- Operations on Series -- The Topology of the Real Line -- Open and Closed Sets -- Other Distinguished Points -- Bounded Sets -- Compact Sets -- The Cantor Set -- Connected and Disconnected Sets -- Perfect Sets -- Limits and the Continuity of Functions -- Definitions and Basic Properties -- Continuous Functions -- Topological Properties and Continuity -- Classifying Discontinuities and Monotonicity -- The Derivative -- The Concept of Derivative -- The Mean Value Theorem and Applications -- Further Results on the Theory of Differentiation -- The Integral -- The Concept of Integral -- Properties of the Riemann Integral -- Further Results on the Riemann Integral -- Advanced Results on Integration Theory -- Sequences and Series of Functions -- Partial Sums and Pointwise Convergence -- More on Uniform Convergence -- Series of Functions -- The Weierstrass Approximation Theorem -- Some Special Functions -- Power Series -- More on Power Series: Convergence Issues -- The Exponential and Trigonometric Functions -- Logarithms and Powers of Real Numbers -- The Gamma Function and Stirling’s Formula -- An Introduction to Fourier Series -- Advanced Topics -- Metric Spaces -- Topology in a Metric Space -- The Baire Category Theorem -- The Ascoli-Arzela Theorem -- Differential Equations -- Picard’s Existence and Uniqueness Theorem -- The Method of Characteristics -- Power Series Methods -- Fourier Analytic Methods -- Glossary of Terms from Real Variable Theory -- List of Notation -- Guide to the Literature.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-0-8176-8128-9
LINKS ZU 'VERWANDTEN WERKEN
Schlagwörter:
.
Differential equation
.
Fourier Analysis
.
Functional Analysis
.
Functions of real variables
.
Ordinary differential equations
.
Real Functions
.
Authors:
Krantz, Steven George 1951-
.
Corporate Authors:
SpringerLink (Online service)
.
Classification:
515.8
.
.
ISBD-Anzeige
Katalogdatensatz46513
.
Kategorien-Anzeige
Katalogdatensatz46513
.
Verwandte Werke
Katalogdatensatz46513
.
MARC-XML
Katalogdatensatz46513
.
Titel zur Titelsammlung hinzufügen
Katalogdatensatz46513
.
Kataloginformation46513
Datensatzanfang
.
Kataloginformation46513
Seitenanfang
.
Titel herunterladen
Katalogdatensatz46513
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Besprechungen
Dieser Titel wurde noch nicht bewertet.
Neue Besprechung und/oder Bewertung hinzufügen
46513
1
46513
-
2
46513
-
3
46513
-
4
46513
-
5
46513
-
Schnellsuche
Suche nach