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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)

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
Creator
Author
Subject
Language
eng
Summary
This book is a complete English translation of Augustin-Louis 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)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-11036-9
Instantiates
Publication
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 Twenty-One -- Lecture Twenty-Two -- Lecture Twenty-Three -- Lecture Twenty-Four -- Lecture Twenty-Five -- Lecture Twenty-Six -- Lecture Twenty-Seven -- Lecture Twenty-Eight -- Lecture Twenty-Nine -- Lecture Thirty -- Lecture Thirty-One -- Lecture Thirty-Two -- Lecture Thirty-Three -- Lecture Thirty-Four -- Lecture Thirty-Five -- Lecture Thirty-Six -- Lecture Thirty-Seven -- Lecture Thirty-Eight -- Lecture Thirty-Nine -- 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
978-3-030-11036-9
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, non-commercial 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)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-11036-9
Publication
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 Twenty-One -- Lecture Twenty-Two -- Lecture Twenty-Three -- Lecture Twenty-Four -- Lecture Twenty-Five -- Lecture Twenty-Six -- Lecture Twenty-Seven -- Lecture Twenty-Eight -- Lecture Twenty-Nine -- Lecture Thirty -- Lecture Thirty-One -- Lecture Thirty-Two -- Lecture Thirty-Three -- Lecture Thirty-Four -- Lecture Thirty-Five -- Lecture Thirty-Six -- Lecture Thirty-Seven -- Lecture Thirty-Eight -- Lecture Thirty-Nine -- 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
978-3-030-11036-9
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, non-commercial 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

Subject

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