Landmark Writings in Western Mathematics 1640-1940Ivor Grattan-Guinness Elsevier, 11 de febr. 2005 - 1040 pàgines This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items.
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Resultats 1 - 5 de 76.
Pàgina 21
... infinite operation, a concept that is indeed foreign to the Cartesian system of the world, nevertheless could only criticize Descartes retrospectively. BIBLIOGRAPHY Baillet, A. 1691. La vie de Monsieur Descartes, Paris: Hortemels. [Repr ...
... infinite operation, a concept that is indeed foreign to the Cartesian system of the world, nevertheless could only criticize Descartes retrospectively. BIBLIOGRAPHY Baillet, A. 1691. La vie de Monsieur Descartes, Paris: Hortemels. [Repr ...
Pàgina 24
... infinite fraction for 4/π that is now his chief claim to fame; but for his contemporaries the most significant feature was the introduction of new methods, new concepts and new vocabulary. The Arithmetica infinitorum stands both ...
... infinite fraction for 4/π that is now his chief claim to fame; but for his contemporaries the most significant feature was the introduction of new methods, new concepts and new vocabulary. The Arithmetica infinitorum stands both ...
Pàgina 25
... infinite number of parallel lines. Or rather (which I prefer) from an infinite number of parallelograms of equal altitude, the altitude of each of which indeed may be of the whole altitude, or an infinitely small part (for let ∞ denote ...
... infinite number of parallel lines. Or rather (which I prefer) from an infinite number of parallelograms of equal altitude, the altitude of each of which indeed may be of the whole altitude, or an infinitely small part (for let ∞ denote ...
Pàgina 30
... infinite number of 'no altitudes', that is of an infinite number of nothings, and consequently the area of your triangle has no quantity. If you say that by the parallels you mean infinitely little parallelograms, you are never the ...
... infinite number of 'no altitudes', that is of an infinite number of nothings, and consequently the area of your triangle has no quantity. If you say that by the parallels you mean infinitely little parallelograms, you are never the ...
Pàgina 31
... infinite series expansions can hardly be overestimated. Newton could now write not only any rational function of x as an infinite series, but also trigonometric and logarithmic functions, all of which he could then integrate term by ...
... infinite series expansions can hardly be overestimated. Newton could now write not only any rational function of x as an infinite series, but also trigonometric and logarithmic functions, all of which he could then integrate term by ...
Continguts
1 | |
23 | |
33 | |
46 | |
59 | |
88 | |
105 | |
121 | |
41 Stanley Jevons The theory of political economy first edition 1871 | 534 |
42 Felix Kleins Erlangen Program Comparative considerations of recent geometrical researches 1872 | 544 |
43 Richard Dedekind Stetigkeit und irrationale Zahlen 1872 | 553 |
44 James Clerk Maxwell A treatise on electricity and magnetism first edition 1873 | 564 |
45 JW Strutt Third Baron Rayleigh The theory of sound first edition 18771878 | 588 |
46 Georg Cantor paper on the Foundations of a general set theory 1883 | 600 |
47 Richard Dedekind 1888 and Giuseppe Peano 1889 booklets on the foundations of arithmetic | 613 |
48 Henri Poincaré memoir on the threebody problem 1890 | 627 |
131 | |
143 | |
159 | |
168 | |
181 | |
14 Leonhard Euler treatise on the differential calculus 1755 | 191 |
15 Thomas Bayes An essay towards solving a problem in the doctrine of chances 1764 | 199 |
16 Joseph Louis Lagrange Méchanique analitiqueMéchanique Analitique Lagranges first edition 1788 | 208 |
17 Gaspard Monge Géométrie descriptive first edition 1795 | 225 |
18 PS Laplace Exposition du système du monde first edition 1796 Traité de mécanique céleste 179918231827 | 242 |
19 Joseph Louis Lagrange Théorie des fonctions analytiques first edition 1797 | 258 |
20 SF Lacroix Traité du calcul différentiel et du calcul intégral first edition 17971800 | 277 |
21 JeanEtienne Montucla Histoire des mathématiques second edition 17991802 | 292 |
22 Carl Friedrich Gauss Disquisitiones arithmeticae 1801 | 303 |
23 Carl Friedrich Gauss book on celestial mechanics 1809 | 316 |
24 PS Laplace Théorie analytique des probabilités first edition 1812 Essai philosophique sur les probabilités first edition 1814 | 329 |
25 AL Cauchy Cours danalyse 1821 and Résumé of the calculus 1823 | 341 |
26 Joseph Fourier Théorie analytique de la chaleur 1822 | 354 |
27 Jean Victor Poncelet Traité des propriétés projectives des figures first edition 1822 | 366 |
28 AL Cauchy two memoirs on complexvariable function theory 1825 1827 | 377 |
29 Niels Henrik Abel paper on the irresolvability of the quintic equation 1826 | 391 |
30 George Green An essay on the mathematical analysis of electricity and magnetism 1828 | 403 |
31 CGJ Jacobi book on elliptic functions 1829 | 412 |
32 Hermann G Grassmann Ausdehnungslehre first edition 1844 | 431 |
33 Karl Georg Christian von Staudt book on projective geometry 1847 | 441 |
34 Bernhard Riemann thesis on the theory of functionscomplex function theory of a complex variablefunction of a complex variable 1851 | 448 |
35 William Rowan HamiltonHamilton Lectures on quaternionsLectures 1853 | 460 |
36 George Boole An investigation of the laws of thought on which are founded the mathematical theory of logic and probabilities 1854 | 470 |
37 Johann Peter Gustav LejeuneDirichlet Vorlesungen über Zahlentheorie first edition 1863 | 480 |
38 Bernhard Riemann posthumous Thesis on the representation of functions by trigonometric series 1867 | 491 |
39 Bernhard Riemann posthumous thesis On the hypotheses which lie at the foundation of geometry 1867 | 506 |
40 William Thomson and Peter Guthrie Tait Treatise on natural philosophy first edition 1867 | 521 |
49 Oliver Heaviside Electrical papers 1892 | 639 |
50 Walter William Rouse Ball Mathematical recreations and problems of past and present times first edition 1892 | 653 |
51 Alexandr Mikhailovich Lyapunov thesis on the stability of motion 1892 | 664 |
52 Heinrich Hertz posthumous book on mechanics 1894 | 677 |
53 Heinrich Weber Lehrbuch der Algebra 18951896 | 690 |
54 David Hilbert report on algebraic number fields Zahlbericht 1897 | 700 |
55 David Hilbert Grundlagen der Geometrie first edition 1899 | 710 |
56 Karl Pearson paper on the chi square goodness of fit test 1900 | 724 |
57 David Hilbert paper on Mathematical problems 1901 | 732 |
58 Lord Kelvin Baltimore lectures on mathematical physics 1884 1904 | 748 |
59 Henri Lebesgue and René Baire three books on mathematical analysis 19041906 | 757 |
60 HA Lorentz Lectures on electron theory first edition 1909 | 778 |
61 AN Whitehead and Bertrand Russell Principia mathematica first edition 19101913 | 784 |
62 Federigo Enriques and Oscar Chisini Lectures on the geometrical theory of equations and algebraic functions 19151934 | 795 |
63 Albert Einstein review paper on general relativity theory 1916 | 802 |
64 DArcy Wentworth Thompson On growth and form first edition 1917 | 823 |
65 Leonard Dickson History of the theory of numbers 19191923 | 833 |
66 Paul UrysohnUrysohn Paul and Karl MengerMenger Karl papers on dimension theorydimension theory 19231926 | 844 |
67 RA Fisher Statistical methods for research workers first edition 1925 | 856 |
68 George David BirkhoffDynamical systems 1927 | 871 |
69 PAM Dirac 1930 and J von Neumann 1932 books on quantum mechanics | 882 |
70 BL van der Waerden Moderne Algebrafirst edition 19301931 | 901 |
71 Kurt Gödel paper on the incompleteness theorems 1931 | 917 |
72 Walter Andrew Shewhart Economic control of quality of manufactured product 1931 | 926 |
73 Vito Volterra book on mathematical biology 1931 | 936 |
74 S Bochner lectures on Fourier integrals 1932 | 945 |
75 AN Kolmogorov Grundbegriffe der Wahrscheinlichkeitsrechnung 1933 | 960 |
76 H Seifert and W Threlfall 1934 and PS Alexandroff and H Hopf 1935 books on topology | 970 |
77 David Hilbert and Paul Bernays Grundlagen der Mathematik first edition 1934 1939 | 981 |
List of Authors | 1000 |
Index | 1004 |
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Passatges populars
Pàgina 126 - Now, as our sense is strained and puzzled with the perception of objects extremely minute, even so the imagination, which faculty derives from sense, is very much strained and puzzled to frame clear ideas of the least particles of time, or the least increments generated therein: and much more so to comprehend the moments, or those increments of the flowing quantities in statu nascenti, in their very first origin or beginning to exist, before they become finite particles.
Pàgina 127 - If with a view to demonstrate any proposition a certain point is supposed, by virtue of which certain other points are attained; and such supposed point be itself afterwards destroyed or rejected by a contrary supposition ; in that case all the other points attained thereby and consequent thereupon, must also be destroyed and rejected, so as from thenceforward to be no more supposed or applied in the demonstration.
Pàgina 201 - Given the number of times in which an unknown event has happened and failed : Required the chance that the probability of its happening in a single trial lies somewhere between any two degrees of probability that can be named.
Pàgina 748 - Lord Kelvin, Baltimore lectures on molecular dynamics and the wave theory of light.
Pàgina 126 - But the velocities of the velocities — the second, third, fourth, and fifth velocities, &c. — exceed, if I mistake not, all human understanding. The further the mind analyseth and pursueth these fugitive ideas the more it is lost and bewildered ; the objects, at first fleeting and minute, soon vanishing out of sight. Certainly, in any sense, a second or third fluxion seems an obscure Mystery.
Pàgina 125 - These fluxions are said to be nearly as the increments of the flowing quantities, generated in the least equal particles of time ; and to be accurately in the first proportion of the nascent, or in the last of the evanescent increments.
Pàgina 338 - ... the action of the two great planets, Jupiter and Saturn; after immense calculations he fixed its next passage at the perihelion toward the beginning of April, 1759, which was actually verified by observation. The regularity which astronomy shows us in the movements of the comets doubtless exists also in all phenomena. The curve described by a simple molecule of air or vapor is regulated in a manner just as certain as the planetary orbits ; the only difference between them is that which comes...
Pàgina 539 - The ratio of exchange of any two commodities will be the reciprocal of the ratio of the final degrees of utility of the quantities of commodity available for consumption after the exchange is completed.
Pàgina 126 - Understanding. The further the Mind analyseth and pursueth these fugitive Ideas, the more it is lost and bewildered; the Objects, at first fleeting and minute, soon vanishing out of sight. Certainly in any Sense a second or third Fluxion seems an obscure Mystery. The incipient Celerity of an incipient Celerity, the nascent Augment of a nascent Augment...