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The Resource Cauchy's Cours d'analyse : an annotated translation, [translated by] Robert E. Bradley, C. Edward Sandifer, (electronic resource)
Cauchy's Cours d'analyse : an annotated translation, [translated by] Robert E. Bradley, C. Edward Sandifer, (electronic resource)
Resource Information
The item Cauchy's Cours d'analyse : an annotated translation, [translated by] Robert E. Bradley, C. Edward Sandifer, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Cauchy's Cours d'analyse : an annotated translation, [translated by] Robert E. Bradley, C. Edward Sandifer, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 This is an annotated and indexed translation (from French into English) of Augustin Louis Cauchy's 1821 classic textbook Cours d'analyse. This is the first English translation of a landmark work in mathematics, one of the most influential texts in the history of mathematics. It belongs in every mathematics library, along with Newton's Principia and Euclid's Elements. The authors' style mimics the look and feel of the second French edition. It is an essentially modern textbook style, about 75% narrative and 25% theorems, proofs, corollaries. Despite the extensive narrative, it has an essentially "Euclidean architecture" in its careful ordering of definitions and theorems. It was the first book in analysis to do this. Cauchy's book is essentially a precalculus book, with a rigorous exposition of the topics necessary to learn calculus. Hence, any good quality calculus student can understand the content of the volume. The basic audience is anyone interested in the history of mathematics, especially 19th century analysis. In addition to being an important book, the Cours d'analyse is wellwritten, packed with unexpected gems, and, in general, a thrill to read. Robert E. Bradley is Professor of Mathematics at Adelphi University. C. Edward Sandifer is Professor of Mathematics at Western Connecticut State University
 Language

 eng
 eng
 Extent
 1 online resource (415 p.)
 Note
 Description based upon print version of record
 Contents

 On real functions.
 On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases.
 On symmetric functions and alternating functions. The use of these functions for the solution of equations of the first degree in any number of unknowns. On homogeneous functions.
 Determination of integer functions, when a certain number of particular values are known. Applications.
 Determination of continuous functions of a single variable that satisfy certain conditions.
 On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series.
 On imaginary expressions and their moduli.
 On imaginary functions and variables.
 On convergent and divergent imaginary series. Summation of some convergent imaginary series. Notations used to represent imaginary functions that we find by evaluating the sum of such series.
 On real or imaginary roots of algebraic equations for which the lefthand side is a rational and integer function of one variable. The solution of equations of this kind by algebra or trigonometry.
 Decomposition of rational fractions.
 On recurrent series
 Isbn
 9781282827059
 Label
 Cauchy's Cours d'analyse : an annotated translation
 Title
 Cauchy's Cours d'analyse
 Title remainder
 an annotated translation
 Statement of responsibility
 [translated by] Robert E. Bradley, C. Edward Sandifer
 Language

 eng
 eng
 Summary
 This is an annotated and indexed translation (from French into English) of Augustin Louis Cauchy's 1821 classic textbook Cours d'analyse. This is the first English translation of a landmark work in mathematics, one of the most influential texts in the history of mathematics. It belongs in every mathematics library, along with Newton's Principia and Euclid's Elements. The authors' style mimics the look and feel of the second French edition. It is an essentially modern textbook style, about 75% narrative and 25% theorems, proofs, corollaries. Despite the extensive narrative, it has an essentially "Euclidean architecture" in its careful ordering of definitions and theorems. It was the first book in analysis to do this. Cauchy's book is essentially a precalculus book, with a rigorous exposition of the topics necessary to learn calculus. Hence, any good quality calculus student can understand the content of the volume. The basic audience is anyone interested in the history of mathematics, especially 19th century analysis. In addition to being an important book, the Cours d'analyse is wellwritten, packed with unexpected gems, and, in general, a thrill to read. Robert E. Bradley is Professor of Mathematics at Adelphi University. C. Edward Sandifer is Professor of Mathematics at Western Connecticut State University
 Cataloging source
 MiAaPQ
 http://library.link/vocab/creatorDate
 17891857
 http://library.link/vocab/creatorName
 Cauchy, Augustin Louis
 Dewey number
 515
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA331
 LC item number
 .C3413 2009
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1951
 http://library.link/vocab/relatedWorkOrContributorName

 Bradley, Robert E
 Sandifer, Charles Edward
 Series statement
 Sources and studies in the history of mathematics and the physical sciences
 http://library.link/vocab/subjectName

 Cauchy, Augustin Louis
 Mathematical analysis
 Label
 Cauchy's Cours d'analyse : an annotated translation, [translated by] Robert E. Bradley, C. Edward Sandifer, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 On real functions.  On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases.  On symmetric functions and alternating functions. The use of these functions for the solution of equations of the first degree in any number of unknowns. On homogeneous functions.  Determination of integer functions, when a certain number of particular values are known. Applications.  Determination of continuous functions of a single variable that satisfy certain conditions.  On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series.  On imaginary expressions and their moduli.  On imaginary functions and variables.  On convergent and divergent imaginary series. Summation of some convergent imaginary series. Notations used to represent imaginary functions that we find by evaluating the sum of such series.  On real or imaginary roots of algebraic equations for which the lefthand side is a rational and integer function of one variable. The solution of equations of this kind by algebra or trigonometry.  Decomposition of rational fractions.  On recurrent series
 Dimensions
 unknown
 Extent
 1 online resource (415 p.)
 Form of item
 online
 Isbn
 9781282827059
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781441905499
 Specific material designation
 remote
 System control number

 (CKB)2670000000006995
 (EBL)510522
 (OCoLC)535009534
 (SSID)ssj0000372627
 (PQKBManifestationID)11292406
 (PQKBTitleCode)TC0000372627
 (PQKBWorkID)10422255
 (PQKB)10848753
 (DEHe213)9781441905499
 (MiAaPQ)EBC510522
 (EXLCZ)992670000000006995
 Label
 Cauchy's Cours d'analyse : an annotated translation, [translated by] Robert E. Bradley, C. Edward Sandifer, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 On real functions.  On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases.  On symmetric functions and alternating functions. The use of these functions for the solution of equations of the first degree in any number of unknowns. On homogeneous functions.  Determination of integer functions, when a certain number of particular values are known. Applications.  Determination of continuous functions of a single variable that satisfy certain conditions.  On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series.  On imaginary expressions and their moduli.  On imaginary functions and variables.  On convergent and divergent imaginary series. Summation of some convergent imaginary series. Notations used to represent imaginary functions that we find by evaluating the sum of such series.  On real or imaginary roots of algebraic equations for which the lefthand side is a rational and integer function of one variable. The solution of equations of this kind by algebra or trigonometry.  Decomposition of rational fractions.  On recurrent series
 Dimensions
 unknown
 Extent
 1 online resource (415 p.)
 Form of item
 online
 Isbn
 9781282827059
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781441905499
 Specific material designation
 remote
 System control number

 (CKB)2670000000006995
 (EBL)510522
 (OCoLC)535009534
 (SSID)ssj0000372627
 (PQKBManifestationID)11292406
 (PQKBTitleCode)TC0000372627
 (PQKBWorkID)10422255
 (PQKB)10848753
 (DEHe213)9781441905499
 (MiAaPQ)EBC510522
 (EXLCZ)992670000000006995
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/CauchysCoursdanalyseanannotated/CbQFIKsa96w/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/CauchysCoursdanalyseanannotated/CbQFIKsa96w/">Cauchy's Cours d'analyse : an annotated translation, [translated by] Robert E. Bradley, C. Edward Sandifer, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>