A Source Book in Mathematics, 1200-1800 by D. J. Struik

By D. J. Struik

These chosen mathematical writings conceal the years whilst the principles have been laid for the speculation of numbers, analytic geometry, and the calculus.

Originally released in 1986.

The Princeton Legacy Library makes use of the newest print-on-demand know-how to back make to be had formerly out-of-print books from the prestigious backlist of Princeton collage Press. those paperback variants safeguard the unique texts of those very important books whereas featuring them in sturdy paperback variants. The objective of the Princeton Legacy Library is to tremendously raise entry to the wealthy scholarly background present in the hundreds of thousands of books released via Princeton college Press considering that its founding in 1905.

Show description

Read or Download A Source Book in Mathematics, 1200-1800 PDF

Best history & philosophy books

Elements of Continuum Mechanics and Thermodynamics

This article is meant to supply a contemporary and built-in remedy of the principles and purposes of continuum mechanics. there's a major bring up in curiosity in continuum mechanics as a result of its relevance to microscale phenomena. as well as being adapted for complex undergraduate scholars and together with a variety of examples and workouts, this article additionally includes a bankruptcy on continuum thermodynamics, together with entropy construction in Newtonian viscous fluid circulate and thermoelasticity.

Aspects and applications of the random walk

Either the formalism and lots of of the attendant principles with regards to the random stroll lie on the middle of an important fraction of up to date study in statistical physics. within the language of physics the random stroll might be defined as a microscopic version for shipping techniques that have a few portion of randomness.

Trees of life : a visual history of evolution

Brackets and tables, circles and maps, 1554-1872 --
Early botanical networks and bushes, 1766-1815 --
The first evolutionary tree, 1786-1820 --
Diverse and weird timber of the early 19th century, 1817-1834 --
The rule of 5, 1819-1854 --
Pre-Darwinian branching diagrams, 1828-1858 --
Evolution and the bushes of Charles Darwin, 1837-1868 --
The bushes of Ernst Haeckel, 1866-1905 --
Post-Darwinian nonconformists, 1868-1896 --
More late-nineteenth-century bushes, 1874-1897 --
Trees of the early 20th century, 1901-1930 --
The timber of Alfred Sherwood Romer, 1933-1966 --
Additional bushes of the mid-twentieth century, 1931-1943 --
The timber of William King Gregory, 1938-1951 --
Hints of recent techniques, 1954-1969 --
Phenograms and cladograms, 1958-1966 --
Early molecular bushes, 1962-1987 --
Notable timber of the previous 4 a long time, 1970-2010 --
Primeval branches and common timber of existence, 1997-2010

Geophysics, realism, and industry : how commercial interests shaped geophysical conceptions, 1900-1960

Did and trade have an effect on the suggestions, values and epistemic foundations of alternative sciences? if that is so, how and to what quantity? This booklet means that the main major effect of on technology within the case reports handled right here needed to do with the difficulty of realism. utilizing wave propagation because the universal thread, this can be the 1st e-book to at the same time examine the emergence of realist attitudes in the direction of the entities of the ionosphere and of the earth's crust.

Extra resources for A Source Book in Mathematics, 1200-1800

Sample text

And in general, if it is known that A < (p — 1)/», then one proves in the same way that we cannot have λ > (ρ — 1 )/(n + 1), therefore we must have λ = (ρ — 1)/(w + 1) or λ < (ρ — 1)(n + 1). 47. Corollary 3. Wherefrom it appears that the number of all numbers that cannot be residues is either = 0, or = λ, or = 2A or any multiple of A; for if there are more than ηλ of such numbers, then, if any at all, A new ones are added to them, so as to make their number = (η + 1)A; and if this does not yet comprise all the nonresidues, then at once A new ones are added.

I. We may consider the numbers χ and y as prime to each other; for if they had a common divisor, the cubes would also be divisible by the cube of that divisor. For example, let χ = 2α, and y = 26, we shall then have x 3 + y 3 = 8a3 + 863; now if this formula be a cube, a3 + 63 is a cube also. II. Since, therefore, χ and y have no common factor, these two numbers are either both odd, or the one is even and the other odd. In the first case, ζ would be even, and in the other that number would be odd.

On the enormous literature in this field see P. Bachman, Das Fermatproblem (De Gruyter, Berlin-Leipzig, 1919); L. J. Mordell, Three lectures on Fermat's last theorem (Cambridge University Press, Cambridge, England, 1921); It. Nogues, Theoreme de Fermat. Son histoire (Vuibert, Paris, 1932); H. S. Vandiver, "Fermat's last theorem," American Mathematical Monthly S3 (1946), 555-578. 9) how Euler proved Fermat's theorem for η = 3 and η = 4. Fermat communicated many of his results to the mathematician Bernard Frenicle de Bessy (1605-1675).

Download PDF sample

Rated 4.56 of 5 – based on 50 votes