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Mathematics

 Subject
Subject Source: UK Archival Thesaurus

Found in 34 Collections and/or Records:

 Series

A few MS leaves, containing Compendium Trigonometriae, c 1700

Reference Code: GBR/0012/MS Add.3959.5: 33-44
Scope and Contents From the Sub-Fonds: Notes and papers regarding algebra and trigonometry.
Dates: c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

A Fragment that goes with Add.3960.11: 193/195, c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.9: 161-164
Scope and Contents From the Sub-Fonds: Papers on infinite series, curves and fluxions, in the hands of Newton and two others.
Dates: c 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

A Scheme of Mathematical Learning Proposed for Mr Stone's Foundation at Christ's Hospital, c 1665-c 1727

Reference Code: GBR/0012/MS Add.4005.19: 85-90
Scope and Contents Several drafts.
Dates: c 1665-c 1727
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Analysis per quantitates fluentes et earum momenta, c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.6: 71-94
Scope and Contents From the Sub-Fonds: Papers on infinite series, curves and fluxions, in the hands of Newton and two others.
Dates: c 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Fonds

Arithmetica Universalis, c 1705

Reference Code: GBR/0012/MS Add.3993
Scope and Contents Incomplete draft.
Dates: c 1705
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Calculation of the Area of the Hyperbola, Autumn 1665

Reference Code: GBR/0012/MS Add.3958.4: 77-80
Scope and Contents From the Fonds: The Portsmouth Collection is the principal collection of Isaac Newton's scientific and mathematical papers, including early drafts of the Principia, and his correspondence with Oldenburg, Halley Flamsteed and many of the other most prominent scientists of his day.
Dates: Autumn 1665
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Fonds

College Notebook, 1664-1665

Reference Code: GBR/0012/MS Add.4000
Scope and Contents A small note-book, written from both ends, containing early exercises - extraction of the square and cube root, elementary Geometry, etc. - followed by annotations of Wallis's Arithmetica Infinitorum. This is preceded by a note of Newton's fixing by an entry in his account-book the date of the annotations as being in the winter 1664-1665, at which time he says he found the method of infinite series. Also notes on music, chances etc.
Dates: 1664-1665
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Fonds

De motu Corporum Liber Secundus, c 1687

Reference Code: GBR/0012/MS Add.3990
Scope and Contents Draft of 'De Mundi Systemate', first printed in 1731.
Dates: c 1687
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Draft of Newton's Letter concerning 'A Scheme of Mathematical Learning Proposed for Mr Stone's Foundation at Christ's Hospital', c 1665-c 1727

Reference Code: GBR/0012/MS Add.4005.21: 93
Scope and Contents From the Fonds: Papers either in Newton's hand or concerning his life and work. Subjects covered include the Royal Society, education, cosmography, mechanics, mathematics, astronomy and shipbuilding.
Dates: c 1665-c 1727
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Draft of Newton's Letter concerning 'A Scheme of Mathematical Learning Proposed for Mr Stone's Foundation at Christ's Hospital', c 1665-c 1727

Reference Code: GBR/0012/MS Add.4005.22: 94-101
Scope and Contents From the Fonds: Papers either in Newton's hand or concerning his life and work. Subjects covered include the Royal Society, education, cosmography, mechanics, mathematics, astronomy and shipbuilding.
Dates: c 1665-c 1727
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Drafts of an unpublished Prop. Cas. 7 of 'De quadratura curvarum', c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.8: 137-160
Scope and Contents From the Sub-Fonds: Papers on infinite series, curves and fluxions, in the hands of Newton and two others.
Dates: c 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Early Paper on Fluxions, May 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.12: 197-206
Scope and Contents pp.97-98 contain unrelated notes from the mid 1670s.
Dates: May 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Fragments on Fluxions, c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.13: 207-228
Scope and Contents From the Sub-Fonds: Papers on infinite series, curves and fluxions, in the hands of Newton and two others.
Dates: c 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Integer Solutions of Quadratic Functions and Other Notes, c 1665

Reference Code: GBR/0012/MS Add.3958.2: 31
Scope and Contents Includes notes of the musical semitone.
Dates: c 1665
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Method of Curves and Infinite Series, and application to the Geometry of Curves, c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.14: 3-265
Scope and Contents From the Sub-Fonds: Papers on infinite series, curves and fluxions, in the hands of Newton and two others.
Dates: c 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Method of Fluxions and Infinite Series, c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.3: 1-32
Scope and Contents From the Sub-Fonds: Papers on infinite series, curves and fluxions, in the hands of Newton and two others.
Dates: c 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Method of Fluxions and Infinite Series, c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.7: 93-136
Scope and Contents From the Sub-Fonds: Papers on infinite series, curves and fluxions, in the hands of Newton and two others.
Dates: c 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Newton's Remarks on 'A Scheme of Mathematical Learning Proposed for Mr Stone's Foundation at Christ's Hospital', c 1665-c 1727

Reference Code: GBR/0012/MS Add.4005.20: 91-92
Scope and Contents From the Fonds: Papers either in Newton's hand or concerning his life and work. Subjects covered include the Royal Society, education, cosmography, mechanics, mathematics, astronomy and shipbuilding.
Dates: c 1665-c 1727
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Fonds

Newton's Waste Book, 1612-c 1685 (Barnabas Smith began using the book in 1612; Isaac Newton began using in around 1664.)

Reference Code: GBR/0012/MS Add.4004
Scope and Contents A commonplace book, written originally by the Rev. B. Smith, D.D. (Newton's step-father), used by Newton for geometrical and optical drafts, notes and calculations.
Dates: 1612-c 1685 (Barnabas Smith began using the book in 1612; Isaac Newton began using in around 1664.)
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Notes on Binomial Expansion and Related Subjects, Autumn 1665

Reference Code: GBR/0012/MS Add.3958.3: 68-76
Scope and Contents f.72 belongs before ff.70-71.
Dates: Autumn 1665
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Notes on Inheritance Laws and Mathematics, c 1665-c 1672

Reference Code: GBR/0012/MS Add.3958.2: 32-33
Scope and Contents From the Fonds: The Portsmouth Collection is the principal collection of Isaac Newton's scientific and mathematical papers, including early drafts of the Principia, and his correspondence with Oldenburg, Halley Flamsteed and many of the other most prominent scientists of his day.
Dates: c 1665-c 1672
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Notes on Tangents and Other Subjects, 30 October 1665-13 November 1665

Reference Code: GBR/0012/MS Add.3958.2: 34-37
Scope and Contents From the Fonds: The Portsmouth Collection is the principal collection of Isaac Newton's scientific and mathematical papers, including early drafts of the Principia, and his correspondence with Oldenburg, Halley Flamsteed and many of the other most prominent scientists of his day.
Dates: 30 October 1665-13 November 1665
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Observations on the Algebra of Kinckhuysen, c 1669

Reference Code: GBR/0012/MS Add.3959.1: 1-21
Scope and Contents In 1669 Newton was asked by Barrow and Collins to add notes to a translation of Kinckhuysen's Algebra. He agreed on the condition that he would remain anonymous. This is a draft of these notes.
Dates: c 1669
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Propositions in Fluxions, c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.11:181-196
Scope and Contents From the Sub-Fonds: Papers on infinite series, curves and fluxions, in the hands of Newton and two others.
Dates: c 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Propositions in the Method of Fluxions, c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960.10:165-180
Scope and Contents From the Sub-Fonds: Papers on infinite series, curves and fluxions, in the hands of Newton and two others.
Dates: c 1665-c 1700
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
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The UK Archival Thesaurus has been integrated with our catalogue, thanks to Kings College London and the AIM25 project for their support with this.