MARC 主機 00000cam  2200697Ka 4500 
001    806179181 
003    OCoLC 
005    20140513031111.0 
006    m     o  d         
007    cr bn||||abp|| 
007    cr bn||||ada|| 
008    120814s2002    maua    ob    001 0 eng d 
020    9781461200833 (electronic bk.) 
020    1461200830 (electronic bk.) 
035    (OCoLC)806179181|z(OCoLC)853269668 
040    OCLCE|beng|epn|cOCLCE|dOCLCO|dOCLCQ|dAU@|dGW5XE|dOCLCQ
       |dOCLCF|dAS|dMATH 
042    dlr 
050  4 QA331.5|b.G89 2002 
082 04 515/.73|221 
100 1  Guzman, Alberto,|d1947- 
245 10 Continuous functions of vector variables|h[electronic 
       resource] /|cAlberto Guzman 
260    Boston :|bBirkhäuser,|c©2002 
300    1 online resource (x, 207 pages) :|billustrations 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
504    Includes bibliographical references (p. [203]-204) and 
       index 
505 00 |g1.|tEuclidean Space --|g2.|tSequences in Normed Spaces -
       -|g3.|tLimits and Continuity in Normed Spaces --|g4.
       |tCharacteristics of Continuous Functions --|g5.|tTopology
       in Normed Spaces 
506    |3Use copy|fRestrictions unspecified|2star|5MiAaHDL 
520    This text is an axiomatic treatment of the properties of 
       continuous multivariable functions and related results 
       from topology. In the context of normed vector spaces, the
       author covers boundedness, extreme values, and uniform 
       continuity of functions, along with the connections 
       between continuity and topological concepts such as 
       connectedness and compactness. The order of topics 
       deliberately mimics the order of development in elementary
       calculus. This sequencing allows for an elementary 
       approach, with analogies to and generalizations from such 
       familiar ideas as the Pythagorean theorem. The reader is 
       frequently reminded that the pictures suggested by 
       geometry are powerful guides and tools. The definition-
       theorem-proof format resides within an informal exposition,
       containing numerous historical comments and questions 
       within and between the proofs. The objective is to present
       precise proofs, but in a structure and tone that teach the
       student to plan and write proofs, both in general and 
       specifically for the real analysis course that will follow
       this one. Applications are included where they provide 
       interesting illustrations of the principles and theorems 
       presented. Problems, solutions, bibliography and index 
       complete this book. ̀Continuous Functions of Vector 
       Variables' is suitable for a course in multivariable 
       calculus aimed at advanced undergraduates preparing for 
       graduate programs in pure mathematics. Required background
       includes a course in the theory of single-variable 
       calculus and the elements of linear algebra. Also by the 
       author: 'Derivatives and Integrals of Multivariable 
       Functions, ' ISBN 0-8176-4274-9 
533    Electronic reproduction.|b[S.l.] :|cHathiTrust Digital 
       Library,|d2011.|5MiAaHDL 
538    Master and use copy. Digital master created according to 
       Benchmark for Faithful Digital Reproductions of Monographs
       and Serials, Version 1. Digital Library Federation, 
       December 2002.|uhttp://purl.oclc.org/DLF/benchrepro0212
       |5MiAaHDL 
583 1  digitized|c2011|hHathiTrust Digital Library|lcommitted to 
       preserve|2pda|5MiAaHDL 
588    Description based on print version record 
650  0 Functions, Continuous 
650  0 Normed linear spaces 
650  0 Vector spaces 
650  7 Funktion <Mathematik>|xMehrere reelle Variable
       |xVektorraum.|2swd 
650  7 Vektorraum|xMehrere reelle Variable|xFunktion <Mathematik>
       .|2swd 
650  7 Functions, Continuous.|2fast|0(OCoLC)fst00936126 
650  7 Normed linear spaces.|2fast|0(OCoLC)fst01039141 
650  7 Vector spaces.|2fast|0(OCoLC)fst01164670 
655  4 Electronic books 
776 08 |iPrint version:|w(DLC)  2002018232|w(OCoLC)48851302 
856 40 |3SpringerLink|uhttp://dx.doi.org/10.1007/978-1-4612-0083-
       3