Mathematics and Mathematicians

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American Mathematical Soc., 1998 - 288 pàgines

Des de l'interior del llibre

Continguts

I
1
II
9
III
33
IV
41
V
51
VI
65
VII
73
VIII
85
XI
109
XII
133
XIII
155
XIV
171
XV
185
XVI
219
XVII
247
Copyright

IX
97

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Pàgina 97 - ... proportionable to the times. Now if we assume the first and second laws of motion to be true, we find that this equal description of areas compels us to admit that the planet is attracted towards the sun ; but it does not give us any information as to the law of the attractive force. But the circumstance that the planets move in ellipses, with the sun in one focus of each ellipse, settles this question. It has already been proved that the attractive force must be directed to the sun, that is...
Pàgina 98 - Lagrange factor (L) expresses the difference between the kinetic energy (T) and the potential energy (U) of the system.
Pàgina 97 - Q, and the magnitude of the force is proportional to the product of the masses of the particles and inversely proportional to the square of the distance between them.
Pàgina 98 - Otherwise, it is the equation of a conic section with one focus at the origin, a fact which we leave to the reader in the problems.
Pàgina 67 - Every solution is the sum of a particular solution and a solution to the homogeneous equation.
Pàgina 81 - ... although I stand in his shoes. [Laughter.] That is, they were his until I paid for them. Probably the most surprised man in the United States of America on the morning after election was William L. Douglas, of Brockton, and I think he might be called an accidental governor. Coming from Massachusetts, I would not for a moment hesitate to say that he has made en excellent governor. While my head is Republican, my feet, my understanding, are Democratic. [Laughter.] My friend, Judge Gavin, remembers...
Pàgina 151 - R.. CARDING L. 1970. Lacunas for Hyperholic Differential Operators with Constant Coefficients I,II, Acta Mathematica 124, 1970, 110-189; 131, 1973, 145-206.
Pàgina 110 - Cantor-Bendizson theorem, which, in modern terminology says that every closed set is the disjoint union of a perfect set and a discrete (and hence countahlel set.
Pàgina 83 - Mittag-Leffler's mathematical foundation was to further the development of mathematics under the leadership of a director, in the heginning Mittag-Leffler himself.
Pàgina 78 - Ahel made a success of Crelle's German Journal. In the same way Poincare will make our Swedish journal a success.

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