哈密尔顿数学 集:英文:第4卷:Vol.4:几何学、分析学、天文学、概率和有限差分等:Geometry,analysis,astronomy,prbabilityandfinit
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作者布伦丹·斯凯夫
出版社哈尔滨工业大学出版社
ISBN9787560376370
出版时间2019-05
装帧平装
开本16开
定价108元
货号1201927639
上书时间2024-06-29
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PART I MANUSCRIPTS
Systems of Rays. Part Third
Two Letters to Augustus de Morgan(1858)
Letter to Hart on Anharmonic Coordinates(1860
PART II. GEOMETRY
On SymIbe 1 Geometry (1846-49)
I Cambridge and Dublin Mathematical Journal, 1, 45-57, 137-154, 256-263
(1846);2,47-52,130-133,204-209(1847);3,68-84,220-225(1848);
4,84-89,105-118(1849)]
On some new applications of Quaternions to Geometry (1849)
British Association Report 1849, Part II,p. I
On Polygons inscribed on a Surface of the Second Order(1850)
British Association Report 1850, Part IL, p. 2.]
Symbolical Extensions of Quaternions; and Geometrical Applications of
Quaternions(1855)
[Proceedings of the Royal Irish Academy 6, 250, 260, 311(1858).]
VIII
XI
XIII
On a General Expression by Quaternions for Cones of the Third Order
(1857)
[Proceedings of the Royal Irish Academy 6, 506, 512(1858).
On a certain harmonic property of the envelope of the chord connect-ing two corresponding points of the Hessian of a Cubic Cone(1857)
[Proceedings of the Royal Irish Academy 6, 524(1858).]
On some applications of Quaternions to Cones of the Third Degree
(1857)
[ British Association Report 1857, Part II, p. 3.]
On Anharmonic Co-ordinates(1860
[Proceedings of the Royal Irish Academy 7, 286-289, 329, 350-354(1862).] 507
On Geometrical Nets in Space(1861)
[Proceedings of the Royal Irish Academy 7, 532-582(1862).
On Geometrical Nets in Space(1861)
British Association Report 1861, Part II, p. 4.]
目录
Frontispiece
Preface
PART I. MANUSCRIPTS
I. Systems of Rays. Part Third
II. Two Letters to Augustus de Morgan (1858)
III. Letter to Hart on Anharmonic Coordinates (1860)
PART II. GEOMETRY
IV. On Symbolical Geometry (1846-49)*
[ Cambridge and Dublin Mathematical Journal, 1, 45-57, 137-154, 256-263
(1846); 2, 47-52, 130-133, 204-209 (1847); 3, 68-84, 220-225 (1848);
4, 84-89, 105-118 (1849).]
V. On some new applications of Quaternions to Geometry (1849)
[British Association Report 1849, Part II., p. 1.]
VI. On Polygons inscribed on a Surface of the Second Order (1850)
[British Association Report 1850, Part II., p. 2.]
VII. Symbolical Extensions of Quaternions; and Geometrical Applications of
Quaternions (1855)
[Proceedings of the Royal Irish Academy 6, 250, 260, 311 (1858).]
VIII. On a General Expression by Quaternions for Cones of the Third Order
(1857)
[proceedings of the Royal Irish Academy 6, 506, 512 (1858).]
IX. On a certain harmonic property of the envelope of the chord connecting two corresponding points of the Hessian of a Cubic Cone (1857)
[Proceedings of the Royal Irish Academy 6, 524 ( 1858 ). ]
X. On some applications of Quaternions to Cones of the Third Degree
(1857)
[British Association Report 1857, Part II., p. 3.]
XI. On Anharmonic Co-ordinates (1860)
[proceedings of the Royal Irish Academy 7, 286-289, 329, 350-354 (1862).]
XII. On Geometrical Nets in Space (1861)
[Proceedings of the Royal Irish Academy 7, 532-582 (1862).]
XIII. On Geometrical Nets in Space (1861)
[British Association Report 1861, Part II., p. 4.]
XIV. Elementary Proof that Eight Perimeters of the Regular inscribed Poly-
gon of Twenty Sides exceed Twenty-five Diameters of the Circle (1862)
[Philosophical Magazine (4S), 23, 267-269 (1862).]
XV. On the Locus of the Osculating Circle to a Curve in Space (1863)
[Proceedings of the Royal Irish Academy 8, 394 (1864). ]
XVI. On the Eight Imaginary Umbilical Generatrices of a Central Surface of
the Second Order (1864)
[Proceedings of the Royal Irish Academy 8, 471 (1864).]
XVII. On Rober's Construction of the Heptagon (1864)
[Philosophical Magazine (4S), 27, 124-132 (1864).]
XVIII. On a New System of Two General Equations of Curvature (1865)
[Proceedings of the Royal Irish Academy 9, 302-305 (1867).]
PART III. ANALYSIS
XIX. On the Error of a received principle of Analysis, respecting Functions
which vanish with their Variables (1830)
[Transactions of the Royal Irish Academy 16, 63-64 (1831).]
XX. Note on a Paper on the Error of a received principle of Analysis (1831)
[Transactions of the Royal lrish Academy 16, 129-130 (1831).]
内容摘要
本书是哈密尔顿数学论文集的第4卷，包含3个先前未公开的、重要的手稿，在本卷中主要介绍了关于几何学、分析学、天文学、概率和有限差分等方面的知识，该卷还载有关于上述各方面的论文。
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