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Mathematics

 Subject
Subject Source: UK Archival Thesaurus

Found in 62 Collections and/or Records:

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 Fonds

A copy of Schooten's edition of Descartes' Geometry, (Lugd. 1649), with a few notes in Newton's hand

Reference Code: GBR/0012/MS Add.3994
Scope and Contents

Moved to Rare Books: Adv. D. 39.1

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

A copy of the first edition of the Principia, interleaved with notes in Newton's hand - among the leaves inserted is the preface to the third edition

Reference Code: GBR/0012/MS Add.3991
Scope and Contents

Moved to Rare Books: Adv. B. 39.1

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

A copy of the second edition of the Principia, interleaved with notes and additions in Newton's hand

Reference Code: GBR/0012/MS Add.3992
Scope and Contents

Moved to Rare Books: Adv. B. 39.2

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 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 Problem in Chances, c 1665-c 1727 (Possibly a copy of the paper published in 1710.)

Reference Code: GBR/0012/MS Add.4005.28: 102-103
Scope and Contents

Not in Newton's hand; apparently a Latin variation of results by John Arbuthnot in "Philosophical transactions of the Royal Society of London", 1710.

Dates: c 1665-c 1727 (Possibly a copy of the paper published in 1710.)
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.
 Fonds

Algebra and arithmetic, 1673-1683

Reference Code: GBR/0012/MS Dd.09.68
Scope and Contents

Sir Isaac Newton's Lucasian lectures on algebra and arithmetic. See also MSS Dd.04.18, Dd.09.46 and Dd.09.67.

Dates: 1673-1683
Conditions Governing Access: Unless restrictions apply, the collection is open for consultation by researchers using the Manuscripts Reading Room at Cambridge University Library. For further details on conditions governing access please contact mss@lib.cam.ac.uk. Information about opening hours and obtaining a Cambridge University Library reader's ticket is available from the Library's website (www.lib.cam.ac.uk).
 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

Analytical institutions, Early to mid eighteenth century

Reference Code: GBR/0012/MS Ee.02.37-MS Ee.02.38
Scope and Contents

John Colson's autograph translation of 'Analytical institutions, in four books: originally written in Italian by Donna Maria Gaetana Agnesi; professor of the mahematics and philosophy in the University of Bologna' (the work was edited posthumously by John Hellins, London, 1801).

Dates: Early to mid eighteenth century
Conditions Governing Access: Unless restrictions apply, the collection is open for consultation by researchers using the Manuscripts Reading Room at Cambridge University Library. For further details on conditions governing access please contact mss@lib.cam.ac.uk. Information about opening hours and obtaining a Cambridge University Library reader's ticket is available from the Library's website (www.lib.cam.ac.uk).
 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, c 1665

Reference Code: GBR/0012/MS Add.3958.4
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
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

Compendium mathematicoalgebraicum ex Oughtredo Wallisio, c 1675

Reference Code: GBR/0012/MS Add.3998
Scope and Contents

Notes from mathematical sources, with tables of weights and measures.

Dates: c 1675
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

Copies of Letters from Leibnitz, Slusius etc. to Oldenburg, c 1722

Reference Code: GBR/0012/MS Add.3971.1: 1-38
Scope and Contents From the Fonds:

Transcripts of mathematical and astronomical letters and papers, apparently made for the use of Isaac Newton, in various hands. Included are copies of works by R.F. Slusius, Antonio Monforte, Jacques Ozanam, G.W. Leibnitz, E.W. von Tschirnhaus, Henry Oldenburg, T.F. de Lagny, G.D. Cassini, John Craig and S. Morland.

Dates: c 1722
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

Copies of Mathematical Papers by Tshirnhausen, Leibnitz, Slusius etc., c 1722

Reference Code: GBR/0012/MS Add.3971.2: 39-66
Scope and Contents From the Fonds:

Transcripts of mathematical and astronomical letters and papers, apparently made for the use of Isaac Newton, in various hands. Included are copies of works by R.F. Slusius, Antonio Monforte, Jacques Ozanam, G.W. Leibnitz, E.W. von Tschirnhaus, Henry Oldenburg, T.F. de Lagny, G.D. Cassini, John Craig and S. Morland.

Dates: c 1722
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 primus, 1670s

Reference Code: GBR/0012/MS Dd.09.46
Scope and Contents

Newton's Lucasian lectures. See also MSS Dd.04.18, Dd.09.67 and Dd.09.68.

Dates: 1670s
Conditions Governing Access: Unless restrictions apply, the collection is open for consultation by researchers using the Manuscripts Reading Room at Cambridge University Library. For further details on conditions governing access please contact mss@lib.cam.ac.uk. Information about opening hours and obtaining a Cambridge University Library reader's ticket is available from the Library's website (www.lib.cam.ac.uk).
 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.
 Sub-Fonds

Enumeration of Lines of the Third Order, c 1706

Reference Code: GBR/0012/MS Add.3961
Scope and Contents

Papers regarding curves.

Dates: c 1706
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.
 Sub-Fonds

Fluxions, c 1665-c 1700

Reference Code: GBR/0012/MS Add.3960
Scope and Contents

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.