Coverart for item
The Resource Analysis by its history, E. Hairer, G. Wanner

Analysis by its history, E. Hairer, G. Wanner

Label
Analysis by its history
Title
Analysis by its history
Statement of responsibility
E. Hairer, G. Wanner
Creator
Contributor
Subject
Language
eng
Summary
This 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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Hairer, E.
Dewey number
515
Illustrations
illustrations
Index
index present
LC call number
QA300
LC item number
.H365 2008
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Wanner, Gerhard
Series statement
Undergraduate texts in mathematics. Readings in mathematics
http://library.link/vocab/subjectName
  • Mathematical analysis
  • Mathematical analysis
  • Mathematical analysis
  • Analysis
Label
Analysis by its history, E. Hairer, G. Wanner
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 358-368) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
To Analysis of the Infinite -- Differential and Integral Calculus -- Foundations of Classical Analysis -- Calculus in Several Variables
Control code
644522402
Dimensions
unknown
Extent
1 online resource (x, 377 pages)
Form of item
online
Isbn
9780387770369
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-77036-9
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)644522402
Label
Analysis by its history, E. Hairer, G. Wanner
Publication
Bibliography note
Includes bibliographical references (pages 358-368) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
To Analysis of the Infinite -- Differential and Integral Calculus -- Foundations of Classical Analysis -- Calculus in Several Variables
Control code
644522402
Dimensions
unknown
Extent
1 online resource (x, 377 pages)
Form of item
online
Isbn
9780387770369
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-77036-9
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)644522402

Library Locations

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      38.944491 -92.326012
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