The Resource Cauchy's Calcul Infinitésimal : An Annotated English Translation, by Dennis M. Cates, (electronic resource)
Cauchy's Calcul Infinitésimal : An Annotated English Translation, by Dennis M. Cates, (electronic resource)
Resource Information
The item Cauchy's Calcul Infinitésimal : An Annotated English Translation, by Dennis M. Cates, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Cauchy's Calcul Infinitésimal : An Annotated English Translation, by Dennis M. Cates, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This book is a complete English translation of AugustinLouis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnic students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.
 Language
 eng
 Extent
 1 online resource (XXIV, 267 pages)
 Contents

 Differential Calculus
 Lecture One
 Lecture Two
 Lecture Three
 Lecture Four
 Lecture Five
 Lecture Six
 Lecture Seven
 Lecture Eight
 Lecture Nine
 Lecture Ten
 Lecture Eleven
 Lecture Twelve
 Lecture Thirteen
 Lecture Fourteen
 Lecture Fifteen
 Lecture Sixteen
 Lecture Seventeen
 Lecture Eighteen
 Lecture Nineteen
 Lecture Twenty
 Integral Calculus
 Lecture TwentyOne
 Lecture TwentyTwo
 Lecture TwentyThree
 Lecture TwentyFour
 Lecture TwentyFive
 Lecture TwentySix
 Lecture TwentySeven
 Lecture TwentyEight
 Lecture TwentyNine
 Lecture Thirty
 Lecture ThirtyOne
 Lecture ThirtyTwo
 Lecture ThirtyThree
 Lecture ThirtyFour
 Lecture ThirtyFive
 Lecture ThirtySix
 Lecture ThirtySeven
 Lecture ThirtyEight
 Lecture ThirtyNine
 Lecture Forty
 Addition
 Appendices
 Appendix A: Cours D'Analyse–Chapter II, §III
 Appendix C: Cours D'Analyse–Note II
 Appendix: Cours D'Analyse–Note III
 Appendix D: On the Formulas of Taylor & Maclaurin
 Appendix E: Pagination of the 1823 and 1899 Editions
 References
 Index
 Isbn
 9783030110369
 Label
 Cauchy's Calcul Infinitésimal : An Annotated English Translation
 Title
 Cauchy's Calcul Infinitésimal
 Title remainder
 An Annotated English Translation
 Statement of responsibility
 by Dennis M. Cates
 Language
 eng
 Summary
 This book is a complete English translation of AugustinLouis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnic students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Cates, Dennis M
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Springer eBooks
 Springer eBooks.
 http://library.link/vocab/subjectName
 Calculus
 Label
 Cauchy's Calcul Infinitésimal : An Annotated English Translation, by Dennis M. Cates, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Differential Calculus  Lecture One  Lecture Two  Lecture Three  Lecture Four  Lecture Five  Lecture Six  Lecture Seven  Lecture Eight  Lecture Nine  Lecture Ten  Lecture Eleven  Lecture Twelve  Lecture Thirteen  Lecture Fourteen  Lecture Fifteen  Lecture Sixteen  Lecture Seventeen  Lecture Eighteen  Lecture Nineteen  Lecture Twenty  Integral Calculus  Lecture TwentyOne  Lecture TwentyTwo  Lecture TwentyThree  Lecture TwentyFour  Lecture TwentyFive  Lecture TwentySix  Lecture TwentySeven  Lecture TwentyEight  Lecture TwentyNine  Lecture Thirty  Lecture ThirtyOne  Lecture ThirtyTwo  Lecture ThirtyThree  Lecture ThirtyFour  Lecture ThirtyFive  Lecture ThirtySix  Lecture ThirtySeven  Lecture ThirtyEight  Lecture ThirtyNine  Lecture Forty  Addition  Appendices  Appendix A: Cours D'Analyse–Chapter II, §III  Appendix C: Cours D'Analyse–Note II  Appendix: Cours D'Analyse–Note III  Appendix D: On the Formulas of Taylor & Maclaurin  Appendix E: Pagination of the 1823 and 1899 Editions  References  Index
 Control code
 9783030110369
 Dimensions
 unknown
 Extent
 1 online resource (XXIV, 267 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783030110369
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 1 illustration
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1096527930
 Label
 Cauchy's Calcul Infinitésimal : An Annotated English Translation, by Dennis M. Cates, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Differential Calculus  Lecture One  Lecture Two  Lecture Three  Lecture Four  Lecture Five  Lecture Six  Lecture Seven  Lecture Eight  Lecture Nine  Lecture Ten  Lecture Eleven  Lecture Twelve  Lecture Thirteen  Lecture Fourteen  Lecture Fifteen  Lecture Sixteen  Lecture Seventeen  Lecture Eighteen  Lecture Nineteen  Lecture Twenty  Integral Calculus  Lecture TwentyOne  Lecture TwentyTwo  Lecture TwentyThree  Lecture TwentyFour  Lecture TwentyFive  Lecture TwentySix  Lecture TwentySeven  Lecture TwentyEight  Lecture TwentyNine  Lecture Thirty  Lecture ThirtyOne  Lecture ThirtyTwo  Lecture ThirtyThree  Lecture ThirtyFour  Lecture ThirtyFive  Lecture ThirtySix  Lecture ThirtySeven  Lecture ThirtyEight  Lecture ThirtyNine  Lecture Forty  Addition  Appendices  Appendix A: Cours D'Analyse–Chapter II, §III  Appendix C: Cours D'Analyse–Note II  Appendix: Cours D'Analyse–Note III  Appendix D: On the Formulas of Taylor & Maclaurin  Appendix E: Pagination of the 1823 and 1899 Editions  References  Index
 Control code
 9783030110369
 Dimensions
 unknown
 Extent
 1 online resource (XXIV, 267 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783030110369
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 1 illustration
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1096527930
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