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Title: On Conjugate Functions, or Algebraic Couples, as tending to illustrate generally the Doctrine of Imaginary Quantities and as confirming the Results of Mr Graves respecting the Existence of Two independent Integers in the complete expression of an Imaginary Logarithm (1834)

Creator:

Hamilton, William Rowan (1805–1865)

Date issued/created:

1967

Resource type:

Text

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Subtitle:

The mathematical papers of sir William Rowan Hamilton. Vol. 3, Algebra ; Cunningham Memoir ; no. 15

Publisher:

University Press

Place of publishing:

Cambridge

Description:

Indeks ; XXIV, [5], 703 s., 1 k. tabl. : il. ; 31 cm

Relation:

Cunningham Memoir

Volume:

3

Start page:

97

End page:

100

Detailed Resource Type:

Article ; Artykuł

Resource Identifier:

oai:rcin.org.pl:189919

Source:

IM PAN, call no. 11.536/3 ; click here to follow the link

Language:

eng ; eng

Rights:

Public Domain

Terms of use:

Material outside of copyright protection. May be used without restrictions following from economic copyrights

Digitizing institution:

Institute of Mathematics of the Polish Academy of Sciences

Original in:

Central Mathematical Library Institute of Mathematics of the PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget. ; European Union. European Regional Development Fund

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Open

Object collections:

• Digital Repository of Scientific Institutes > Partners' collections > Institute of Mathematics PAS
• Digital Repository of Scientific Institutes > Partners' collections > Institute of Mathematics PAS > Books
• Digital Repository of Scientific Institutes > Literature > Books/Chapters

Last modified:

Apr 1, 2022

In our library since:

May 20, 2021

Number of object content downloads / hits:

41

All available object's versions:

https://rcin.org.pl./publication/223190

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• Hamilton, William Rowan (1805–1865), 1967, The mathematical papers of sir William Rowan Hamilton. Vol. 3, Algebra
  • Hamilton, William Rowan (1805–1865), 1967, Theory of Conjugate Functions, or Algebraic Couples; with a Preliminary and Elementary Essay on Algebra as the Science of Pure Time (1833, 1835)
  • Hamilton, William Rowan (1805–1865), 1967, On Conjugate Functions, or Algebraic Couples, as tending toillustrate generally the Doctrine of Imaginary Quantities and as confirming the Results of Mr Graves respecting the Existence of Two independent Integers in the complete expression of an Imaginary L
  • Hamilton, William Rowan (1805–1865), 1967, Quaternions (1843)
  • Hamilton, William Rowan (1805–1865), 1967, Letter to Graves on Quanternions; or on a new System of Imaginaries in Algebra
  • Hamilton, William Rowan (1805–1865), 1967, On a new species of Imaginary Quantities connected with the Theory of Quaternions (1843)
  • Hamilton, William Rowan (1805–1865), 1967, Preface to ‘Lectures on Quaternions’, Dublin, 1853
  • Hamilton, William Rowan (1805–1865), 1967, Researches respecting Quaternions. First Series (1843)
  • Hamilton, William Rowan (1805–1865), 1967, On Quaternions; or on a new System of Imaginaries in Algebra (1844-50)
  • Hamilton, William Rowan (1805–1865), 1967, Exercises in Quaternions (1849)
  • Hamilton, William Rowan (1805–1865), 1967, On the connexion of Quaternions with Continued Fractions and Quadratic Equations (1851-2)
  • Hamilton, William Rowan (1805–1865), 1967, On Continued Fractions in Quaternions (1852-3)
  • Hamilton, William Rowan (1805–1865), 1967, On some Extensions of Quaternions (1854)
  • Hamilton, William Rowan (1805–1865), 1967, On some Extensions of Quaternions (1854-5)
  • Hamilton, William Rowan (1805–1865), 1967, On a New and General Method of Inverting a Linear and Quaternion Function of a Quaternion (1862)
  • Hamilton, William Rowan (1805–1865), 1967, On the Existence of a Symbolic and Biquadratic Equation, which is satisfied by the Symbol of Linear Operation in Quaternions (1862)
  • Hamilton, William Rowan (1805–1865), 1967, On Quaternions, or on a New system of Imaginaries in Algebra; with some Geometrical Illustrations (1844)
  • Hamilton, William Rowan (1805–1865), 1967, A Theorem on Spherical Quadrilaterals and Spherical Conics (1845)
  • Hamilton, William Rowan (1805–1865), 1967, Illustrations from Geometry of the Theory of Algebraic Quaternions (1845)
  • Hamilton, William Rowan (1805–1865), 1967, On a Proof of Pascal’s Theorem by means of Quaternions; and on some other connected subjects (1846)
  • Hamilton, William Rowan (1805–1865), 1967, On additional applications of Quaternions to Surfaces of the Second Order (1847)
  • Hamilton, William Rowan (1805–1865), 1967, On Quaternions and the Rotation of a Solid Body (1848)
  • Hamilton, William Rowan (1805–1865), 1967, On the Double Mode of Generation of an Ellipsoid (1848)
  • Hamilton, William Rowan (1805–1865), 1967, Additional Theorems respecting certain reciprocal Surfaces (1848)
  • Hamilton, William Rowan (1805–1865), 1967, On Quaternions applied to Problems respecting the construction of a Circle touching three given Circles on a Sphere, and of a Sphere touching four given Spheres (1848)
  • Hamilton, William Rowan (1805–1865), 1967, On Theorems relating to Surfaces, obtained by the method of Quaternions (1849)
  • Hamilton, William Rowan (1805–1865), 1967, On an Equation of the Ellipsoid (1849)
  • Hamilton, William Rowan (1805–1865), 1967, On the inscription of certain ‘gauche’ Polygons in Surfaces of the Second Degree (1849)
  • Hamilton, William Rowan (1805–1865), 1967, On the Construction of the Ellipsoid by two sliding Spheres (1849)
  • Hamilton, William Rowan (1805–1865), 1967, On a Theorem respecting Ellipsoids, obtained by the method of Quaternions (1849)
  • Hamilton, William Rowan (1805–1865), 1967, On some results obtained by the Quaternion analysis respecting the inscription of ‘gauche’ Polygons in Surfaces of the Second Order (1849)
  • Hamilton, William Rowan (1805–1865), 1967, On ‘gauche’ Polygons in Central Surfaces of the Second Order (1850)
  • Hamilton, William Rowan (1805–1865), 1967, On a Proof from Quaternions of the celebrated Theorem of Joachimsthal (1851)
  • Hamilton, William Rowan (1805–1865), 1967, A generalization of Pascal’s Theorem (1851)
  • Hamilton, William Rowan (1805–1865), 1967, On the nature and properties of the Aconic Function of six Vectors (1851)
  • Hamilton, William Rowan (1805–1865), 1967, On the Geometrical Interpretation of some results obtained by calculation with Biquaternions (1853)
  • Hamilton, William Rowan (1805–1865), 1967, On the Geometrical Demonstration of some Theorems obtained by means of the Quaternion analysis (1853)
  • Hamilton, William Rowan (1805–1865), 1967, A Theorem concerning Polygonic Syngraphy (1853)
  • Hamilton, William Rowan (1805–1865), 1967, On the celebrated Theorem of Dupin (1854)
  • Hamilton, William Rowan (1805–1865), 1967, Quaternion Proof of a Theorem of Reciprocity of Curves in Space (1862)
  • Hamilton, William Rowan (1805–1865), 1967, On ‘Gauche’ Curves of the Third Degree (1863)
  • Hamilton, William Rowan (1805–1865), 1967, On the application of the Method of Quaternions to some Dynamical Questions (1845)
  • Hamilton, William Rowan (1805–1865), 1967, Additional applications of the Theory of Algebraic Quaternions to Dynamical Questions (1845)
  • Hamilton, William Rowan (1805–1865), 1967, On the application of the Calculus of Quaternions to the Theory of the Moon (1847)
  • Hamilton, William Rowan (1805–1865), 1967, On Quaternions and the determination of the Distances of any recently discovered Comet or Planet (1848)
  • Hamilton, William Rowan (1805–1865), 1967, On some Quaternion Equations connected with Fresnel’s wave-surface for biaxal crystals (1859)
  • Hamilton, William Rowan (1805–1865), 1967, On a General Centre of Applied Forces (1863)
  • Hamilton, William Rowan (1805–1865), 1967, Theorems respecting Algebraic Elimination, connected with the Question of the Possibility of resolving in finite Terms the general Equation of the Fifth Degree (1836)
  • Hamilton, William Rowan (1805–1865), 1967, Investigations respecting equations of the Fifth Degree (1837)
  • Hamilton, William Rowan (1805–1865), 1967, Inquiry into the validity of a Method recently proposed by George B. Jerrard, Esq., for Transforming and Resolving Equations of Elevated Degrees (1836)
  • Hamilton, William Rowan (1805–1865), 1967, On the Argument of Abel, respecting the Impossibility of expressing a Root of any General Equation above the Fourth Degree, by any finite Combination of Radicals and Rational Functions (1837)
  • Hamilton, William Rowan (1805–1865), 1967, On a Method proposed by Professor Badano for the solution of Algebraic Equations (1842)
  • Hamilton, William Rowan (1805–1865), 1967, On Equations of the Fifth Degree: and especially on a certain System of Expressions connected with these Equations, which Professor Badano has lately proposed (1842)
  • Hamilton, William Rowan (1805–1865), 1967, On a Theorem relating to the Binomial Coefficients (1865)
  • Hamilton, William Rowan (1805–1865), 1967, Account of the Icosian Calculus (1856)
  • Hamilton, William Rowan (1805–1865), 1967, Memorandum respecting a New System of Roots of Unity (1856)
  • Hamilton, William Rowan (1805–1865), 1967, Memorandum for John T. Graves, Esq. from his friend the author (1856)
  • Hamilton, William Rowan (1805–1865), 1967, Letter to John T. Graves on the Icosian (1856)
  • Hamilton, William Rowan (1805–1865), 1967, Icosian Cycles (1863)
  • Hamilton, William Rowan (1805–1865), 1967, Editors' Appendix 1 : Quaternions and Rotations
  • Hamilton, William Rowan (1805–1865), 1967, Editors' Appendix 2 : The Icosian Calculus
  • Hamilton, William Rowan (1805–1865), 1967, Editors' Appendix 3 : Four and Eight Squares Theorems
  • Hamilton, William Rowan (1805–1865), 1967, Editors' Appendix 4 : Quaternion Integers
  • Hamilton, William Rowan (1805–1865), 1967, Index
  • Hamilton, William Rowan (1805–1865), 1967, The mathematical papers of sir William Rowan Hamilton. Vol. 3, Algebra, Spis treści i dodatki

Edition name	Date
Hamilton, William Rowan (1805–1865), 1967, On Conjugate Functions, or Algebraic Couples, as tending toillustrate generally the Doctrine of Imaginary Quantities and as confirming the Results of Mr Graves respecting the Existence of Two independent Integers in the complete expression of an Imaginary L	Apr 1, 2022

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