The Resource Analysis by its history, E. Hairer, G. Wanner
Analysis by its history, E. Hairer, G. Wanner
Resource Information
The item Analysis by its history, E. Hairer, G. Wanner represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Analysis by its history, E. Hairer, G. Wanner represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (x, 377 pages)
 Contents

 To Analysis of the Infinite
 Differential and Integral Calculus
 Foundations of Classical Analysis
 Calculus in Several Variables
 Isbn
 9780387770369
 Label
 Analysis by its history
 Title
 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
 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
 Bibliography note
 Includes bibliographical references (pages 358368) 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
 10.1007/9780387770369
 Other physical details
 illustrations
 Specific material designation
 remote
 System control number
 (OCoLC)644522402
 Label
 Analysis by its history, E. Hairer, G. Wanner
 Bibliography note
 Includes bibliographical references (pages 358368) 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
 10.1007/9780387770369
 Other physical details
 illustrations
 Specific material designation
 remote
 System control number
 (OCoLC)644522402
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/AnalysisbyitshistoryE.HairerG./HuCCW6P69w/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/AnalysisbyitshistoryE.HairerG./HuCCW6P69w/">Analysis by its history, E. Hairer, G. Wanner</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>