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The Resource Transcendental curves in the Leibnizian Calculus, Viktor Blåsjö, (electronic book)

Transcendental curves in the Leibnizian Calculus, Viktor Blåsjö, (electronic book)

Work
Publication
Extent
1 online resource (284 pages).
Contents
  • Front Cover; Transcendental Curves in the Leibnizian Calculus; Copyright; Contents ; Acknowledgments ; Chapter 1 Preliminary matters; 1.1. Purpose and scope of the present work; 1.2. Previous scholarship related to the present work; 1.3. What is new in the present work; 1.4. Conventions adopted in this work; 1.5. Some key terms; Chapter 2 Introduction; 2.1. The problem of transcendental curves; 2.2. Fundamental conflict between analytic and construction-based paradigms; 2.3. Implications of this story for the general historiography of the period
  • Chapter 3 The classical basis of 17th-century philosophy of mathematics3.1. Introduction; 3.2. Greek geometry; 3.3. 17th-century philosophy of geometry; Chapter 4 Mathematical context; 4.1. Introduction; 4.2. The early calculus according to Leibniz; 4.3. Transcendental curves in the early work of Huygens; 4.4. Johann Bernoulli's lectures on the calculus; Chapter 5 Transcendental curves by curve tracing; 5.1. Introduction; 5.2. The tractrix; 5.3. Johann Bernoulli's generalised tractrix; 5.4. Leibniz's construction by tractional motion of any curve given by dy/dx
  • 5.5. Jacob Bernoulli's tractional method5.6. Johann Bernoulli's crawling curves; Chapter 6 Transcendental curves analytically: exponentials and power series; 6.1. Introduction; 6.2. The problem with power series; 6.3. Exponentials; Chapter 7 Transcendental curves by the reduction of quadratures; 7.1. Introduction; 7.2. Computational reduction of quadratures; 7.3. The rectification of quadratures; Chapter 8 Transcendental curves in physics; 8.1. Introduction; 8.2. The elastica; 8.3. The paracentric isochrone; 8.4. The brachistochrone; 8.5. Forces and tangents
  • Chapter 9 A view from the 18th century9.1. Introduction; 9.2. The epistemological miracle of analytical methods; 9.3. Euler's analytical calculus; 9.4. Lagrange's analytical calculus; 9.5. Lagrange's analytical mechanics; Chapter 10 Concluding overview; Notes; References; Index; Back Cover
Isbn
9780128132982
Instance
Label
Transcendental curves in the Leibnizian Calculus
Title
Transcendental curves in the Leibnizian Calculus
Statement of responsibility
Viktor Blåsjö
Creator
Subject
Language
eng
Member of
Cataloging source
EBLCP
http://library.link/vocab/creatorName
Blåsjö, Viktor
Dewey number
516.352
Index
index present
LC call number
B2598
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Studies in the History of Mathematical Inquiry
http://library.link/vocab/subjectName
Curves, Algebraic
Label
Transcendental curves in the Leibnizian Calculus, Viktor Blåsjö, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references 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
  • Front Cover; Transcendental Curves in the Leibnizian Calculus; Copyright; Contents ; Acknowledgments ; Chapter 1 Preliminary matters; 1.1. Purpose and scope of the present work; 1.2. Previous scholarship related to the present work; 1.3. What is new in the present work; 1.4. Conventions adopted in this work; 1.5. Some key terms; Chapter 2 Introduction; 2.1. The problem of transcendental curves; 2.2. Fundamental conflict between analytic and construction-based paradigms; 2.3. Implications of this story for the general historiography of the period
  • Chapter 3 The classical basis of 17th-century philosophy of mathematics3.1. Introduction; 3.2. Greek geometry; 3.3. 17th-century philosophy of geometry; Chapter 4 Mathematical context; 4.1. Introduction; 4.2. The early calculus according to Leibniz; 4.3. Transcendental curves in the early work of Huygens; 4.4. Johann Bernoulli's lectures on the calculus; Chapter 5 Transcendental curves by curve tracing; 5.1. Introduction; 5.2. The tractrix; 5.3. Johann Bernoulli's generalised tractrix; 5.4. Leibniz's construction by tractional motion of any curve given by dy/dx
  • 5.5. Jacob Bernoulli's tractional method5.6. Johann Bernoulli's crawling curves; Chapter 6 Transcendental curves analytically: exponentials and power series; 6.1. Introduction; 6.2. The problem with power series; 6.3. Exponentials; Chapter 7 Transcendental curves by the reduction of quadratures; 7.1. Introduction; 7.2. Computational reduction of quadratures; 7.3. The rectification of quadratures; Chapter 8 Transcendental curves in physics; 8.1. Introduction; 8.2. The elastica; 8.3. The paracentric isochrone; 8.4. The brachistochrone; 8.5. Forces and tangents
  • Chapter 9 A view from the 18th century9.1. Introduction; 9.2. The epistemological miracle of analytical methods; 9.3. Euler's analytical calculus; 9.4. Lagrange's analytical calculus; 9.5. Lagrange's analytical mechanics; Chapter 10 Concluding overview; Notes; References; Index; Back Cover
Dimensions
unknown
Extent
1 online resource (284 pages).
File format
unknown
Form of item
online
Isbn
9780128132982
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
ocn985340558
Label
Transcendental curves in the Leibnizian Calculus, Viktor Blåsjö, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references 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
  • Front Cover; Transcendental Curves in the Leibnizian Calculus; Copyright; Contents ; Acknowledgments ; Chapter 1 Preliminary matters; 1.1. Purpose and scope of the present work; 1.2. Previous scholarship related to the present work; 1.3. What is new in the present work; 1.4. Conventions adopted in this work; 1.5. Some key terms; Chapter 2 Introduction; 2.1. The problem of transcendental curves; 2.2. Fundamental conflict between analytic and construction-based paradigms; 2.3. Implications of this story for the general historiography of the period
  • Chapter 3 The classical basis of 17th-century philosophy of mathematics3.1. Introduction; 3.2. Greek geometry; 3.3. 17th-century philosophy of geometry; Chapter 4 Mathematical context; 4.1. Introduction; 4.2. The early calculus according to Leibniz; 4.3. Transcendental curves in the early work of Huygens; 4.4. Johann Bernoulli's lectures on the calculus; Chapter 5 Transcendental curves by curve tracing; 5.1. Introduction; 5.2. The tractrix; 5.3. Johann Bernoulli's generalised tractrix; 5.4. Leibniz's construction by tractional motion of any curve given by dy/dx
  • 5.5. Jacob Bernoulli's tractional method5.6. Johann Bernoulli's crawling curves; Chapter 6 Transcendental curves analytically: exponentials and power series; 6.1. Introduction; 6.2. The problem with power series; 6.3. Exponentials; Chapter 7 Transcendental curves by the reduction of quadratures; 7.1. Introduction; 7.2. Computational reduction of quadratures; 7.3. The rectification of quadratures; Chapter 8 Transcendental curves in physics; 8.1. Introduction; 8.2. The elastica; 8.3. The paracentric isochrone; 8.4. The brachistochrone; 8.5. Forces and tangents
  • Chapter 9 A view from the 18th century9.1. Introduction; 9.2. The epistemological miracle of analytical methods; 9.3. Euler's analytical calculus; 9.4. Lagrange's analytical calculus; 9.5. Lagrange's analytical mechanics; Chapter 10 Concluding overview; Notes; References; Index; Back Cover
Dimensions
unknown
Extent
1 online resource (284 pages).
File format
unknown
Form of item
online
Isbn
9780128132982
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
ocn985340558

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