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
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
New Item List
Catalogue Display
Catalogue Display
Previous Title
.
Postmodern Analysis
.
Bookmark this Record
Catalogue Record 44468
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 44468
.
Reviews
Catalogue Record 44468
.
British Library
Resolver for RSN-44468
Google Scholar
Resolver for RSN-44468
WorldCat
Resolver for RSN-44468
Catalogo Nazionale SBN
Resolver for RSN-44468
GoogleBooks
Resolver for RSN-44468
ICTP Library
Resolver for RSN-44468
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
515
Title
Postmodern Analysis ([EBook]) / by Jürgen Jost.
Author
Jost, Jürgen , 1956-
Other name(s)
SpringerLink (Online service)
Edition statement
Second Edition.
Publication
Berlin, Heidelberg : Springer , 2003.
Physical Details
XVII, 371 pages : online resource.
Series
Universitext
0172-5939
ISBN
9783662053065
Summary Note
What is the title of this book intended to signify, what connotations is the adjective "Postmodern" meant to carry? A potential reader will surely pose this question. To answer it, I should describe what distinguishes the approach to analysis presented here from what has been called "Modern Analysis" by its protagonists. "Modern Analysis" as represented in the works of the Bour baki group or in the textbooks by Jean Dieudonne is characterized by its systematic and axiomatic treatment and by its drive towards a high level of abstraction. Given the tendency of many prior treatises on analysis to degen erate into a collection of rather unconnected tricks to solve special problems, this definitely represented a healthy achievement. In any case, for the de velopment of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and structures and to neglect the relations to other fields of scientific, even of mathematical study for a certain while. Almost complete isolation may be required to reach the level of intellectual elegance and perfection that only a good mathematical theory can acquire. However, once this level has been reached, it might be useful to open one's eyes again to the inspiration coming from concrete ex ternal problems.:
Contents note
I. Calculus for Functions of One Variable -- 0. Prerequisites -- 1. Limits and Continuity of Functions -- 2. Differentiability -- 3. Characteristic Properties of Differentiable Functions. Differential Equations -- 4. The Banach Fixed Point Theorem. The Concept of Banach Space -- 5. Uniform Convergence. Interchangeability of Limiting Processes. Examples of Banach Spaces. The Theorem of Arzela-Ascoli -- 6. Integrals and Ordinary Differential Equations -- II. Topological Concepts -- 7. Metric Spaces: Continuity, Topological Notions, Compact Sets -- III. Calculus in Euclidean and Banach Spaces -- 8. Differentiation in Banach Spaces -- 9. Differential Calculus in ?d -- 10. The Implicit Function Theorem. Applications -- 11. Curves in ?d. Systems of ODEs -- IV. The Lebesgue Integral -- 12. Preparations. Semicontinuous Functions -- 13. The Lebesgue Integral for Semicontinuous Functions. The Volume of Compact Sets -- 14. Lebesgue Integrable Functions and Sets -- 15. Null Functions and Null Sets. The Theorem of Fubini -- 16. The Convergence Theorems of Lebesgue Integration Theory -- 17. Measurable Functions and Sets. Jensen’s Inequality. The Theorem of Egorov -- 18. The Transformation Formula -- V. Lp and Sobolev Spaces -- 19. The Lp-Spaces -- 20. Integration by Parts. Weak Derivatives. Sobolev Spaces -- VI. Introduction to the Calculus of Variations and Elliptic Partial Differential Equations -- 21. Hilbert Spaces. Weak Convergence -- 22. Variational Principles and Partial Differential Equations -- 23. Regularity of Weak Solutions -- 24. The Maximum Principle -- 25. The Eigenvalue Problem for the Laplace Operator -- Index of Notation.
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/10.1007/978-3-662-05306-5
Links to Related Works
Subject References:
Analysis
.
Analysis (Mathematics)
.
Mathematical analysis
.
Mathematics
.
Partial differential equations
.
Authors:
Jost, Jürgen 1956-
.
Jost, Jürgen, 1956-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Universitext
.
Classification:
515
.
.
ISBD Display
Catalogue Record 44468
.
Tag Display
Catalogue Record 44468
.
Related Works
Catalogue Record 44468
.
Marc XML
Catalogue Record 44468
.
Add Title to Basket
Catalogue Record 44468
.
Catalogue Information 44468
Beginning of record
.
Catalogue Information 44468
Top of page
.
Download Title
Catalogue Record 44468
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
Reviews
This item has not been rated.
Add a Review and/or Rating
44468
1
44468
-
2
44468
-
3
44468
-
4
44468
-
5
44468
-
Quick Search
Search for