Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Postmodern Analysis (Record no. 424908)

000 -LEADER
fixed length control field 04576nam a22004935i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9783540288909
-- 978-3-540-28890-9
024 7# -
-- 10.1007/3-540-28890-2
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA299.6-433
072 #7 -
-- PBK
-- bicssc
072 #7 -
-- MAT034000
-- bisacsh
072 #7 -
-- PBK
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 515
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Jost, Jürgen.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Postmodern Analysis
Medium [electronic resource] /
Statement of responsibility, etc by Jürgen Jost.
250 ## - EDITIONSTATEMENT
Edition statement Third Edition.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Berlin, Heidelberg :
Name of producer, publisher, distributor, manufacturer Springer Berlin Heidelberg,
Date of production, publication, distribution, manufacture 2005.
300 ## -
-- XV, 375 p.
-- online resource.
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term computer
Media Type Code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term online resource
Carrier Type Code cr
Source rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Universitext,
-- 0172-5939
505 0# -
-- Calculus for Functions of One Variable -- Prerequisites -- Limits and Continuity of Functions -- Differentiability -- Characteristic Properties of Differentiable Functions. Differential Equations -- The Banach Fixed Point Theorem. The Concept of Banach Space -- Uniform Convergence. Interchangeability of Limiting Processes. Examples of Banach Spaces. The Theorem of Arzela-Ascoli -- Integrals and Ordinary Differential Equations -- Topological Concepts -- Metric Spaces: Continuity, Topological Notions, Compact Sets -- Calculus in Euclidean and Banach Spaces -- Differentiation in Banach Spaces -- Differential Calculus in $$\mathbb{R}$$ d -- The Implicit Function Theorem. Applications -- Curves in $$\mathbb{R}$$ d. Systems of ODEs -- The Lebesgue Integral -- Preparations. Semicontinuous Functions -- The Lebesgue Integral for Semicontinuous Functions. The Volume of Compact Sets -- Lebesgue Integrable Functions and Sets -- Null Functions and Null Sets. The Theorem of Fubini -- The Convergence Theorems of Lebesgue Integration Theory -- Measurable Functions and Sets. Jensen’s Inequality. The Theorem of Egorov -- The Transformation Formula -- and Sobolev Spaces -- The Lp-Spaces -- Integration by Parts. Weak Derivatives. Sobolev Spaces -- to the Calculus of Variations and Elliptic Partial Differential Equations -- Hilbert Spaces. Weak Convergence -- Variational Principles and Partial Differential Equations -- Regularity of Weak Solutions -- The Maximum Principle -- The Eigenvalue Problem for the Laplace Operator.
520 ## -
-- 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 - proach to analysis presented here from what has by its protagonists been called “Modern Analysis”. “Modern Analysis” as represented in the works of the Bourbaki group or in the textbooks by Jean Dieudonn´ e 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 degenerate into a collection of rather unconnected tricks to solve special problems, this de?nitely represented a healthy achievement. In any case, for the development 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 ?elds of scienti?c, 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 mathem- ical theory can acquire. However, once this level has been reached, it can be useful to open one’s eyes again to the inspiration coming from concrete external problems.
650 #0 -
-- Global analysis (Mathematics).
650 #0 -
-- Differential equations, partial.
650 14 -
-- Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12007
650 24 -
-- Partial Differential Equations.
-- http://scigraph.springernature.com/things/product-market-codes/M12155
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9783540810537
776 08 -
-- Printed edition:
-- 9783540258308
830 #0 -
-- Universitext,
-- 0172-5939
856 40 -
-- https://doi.org/10.1007/3-540-28890-2
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)
Holdings
Location (home branch) Sublocation or collection (holding branch) Date acquired Piece designation (barcode) Koha item type
ISI Library, Kolkata ISI Library, Kolkata 2017-04-01 EB1049 E-BOOKS
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in


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