Analysis by its history
Resource Information
The work Analysis by its history represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Analysis by its history
Resource Information
The work Analysis by its history represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Analysis by its history
 Statement of responsibility
 E. Hairer, G. Wanner
 Language
 eng
 Summary
 This book presents firstyear 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 oncetraditional subjects which have now vanished from the analysis curriculum, at least in the standard American courses. Thus we find continued fractions, elliptic integrals, the EulerMacLaurin 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
 Cataloging source
 GW5XE
 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
 Series statement
 Undergraduate texts in mathematics. Readings in mathematics
Context
Context of Analysis by its historyWork of
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