MARC Record from harvard_bibliographic_metadata

LEADER: 02911cam a2200277I 4500
001 011546806-4
005 20140910154236.0
008 080201s2008 nyua b 001 0 eng d
020 $a0387770313 (pbk.)
020 $a9780387770314
035 0 $aocn191759999
040 $aYDXCP$cYDXCP$dBAKER$dBTCTA$dZQP
050 $aQA
100 1 $aHaurer, E.$q(Ernst)
245 10 $aAnalysis by its history /$cE. Hairer, G. Wanner.
260 $aNew York :$bSpringer,$cc2008
300 $ax, 377 p. :$bill. ;$c24 cm.
440 0 $aUndergraduate texts in mathmatics.$pReadings in mathmatics
504 $aIncludes bibliographical references (p. [358]-368) and index.
505 0 $ato Analysis of the Infinite -- Differential and Integral Calculus -- Foundations of Classical Analysis -- Calculus in Several Variables.
520 $aThis book presents first-year calculus roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers. From the reviews: The aim of this interesting new contribution to the series Readings in Mathematics is an attempt to restore the historical order in the presentation of basic mathematical analysis...such a historical approach can provide a very fruitful and interesting approach to mathematical analysis. - Jean Mawhin, Zentralblatt The authors include a large number of once-traditional subjects which have now vanished from the analysis curriculum, at least in the standard American courses. Thus we find continued fractions, elliptic integrals, the Euler-MacLaurin summation formula, etc., most of which are found only in more compendious works. Many of the exercises are inspired by original papers, with the bibliographic references sometimes given. The work is very well illustrated. The book is definitely an analysis text, rather than a history, but a great deal of reliable historical material is included. For those seeking an alternative to the traditional approach, it seems to me to be of great interest. - Thomas Archibald, Mathematical Reviews The authors...have assembled an impressive array of annotated results, quotations, tables, charts, figures and drawings, many copied from original documents....they write with great enthusiasm and with evident affection for both analysis and history. - John Troutman, American Mathematical Monthly
650 0 $aMathematical analysis.
650 0 $aMathematics.
700 1 $aWanner, Gerhard.
988 $a20080826
906 $0OCLC