|
|
|
|
| LEADER |
00000cam a2200000Mu 4500 |
| 001 |
EBSCO_on1107566279 |
| 003 |
OCoLC |
| 005 |
20231017213018.0 |
| 006 |
m o d |
| 007 |
cr |n|---||||| |
| 008 |
190706s2018 gw o 000 0 eng d |
| 040 |
|
|
|a EBLCP
|b eng
|e pn
|c EBLCP
|d YDX
|d OCLCQ
|d N$T
|d OCLCF
|d QGK
|d OCLCO
|d OCLCQ
|d OCLCO
|
| 019 |
|
|
|a 1107369730
|a 1241897118
|a 1264779143
|a 1300657023
|
| 020 |
|
|
|a 3515120831
|
| 020 |
|
|
|a 9783515120838
|q (electronic bk.)
|
| 035 |
|
|
|a (OCoLC)1107566279
|z (OCoLC)1107369730
|z (OCoLC)1241897118
|z (OCoLC)1264779143
|z (OCoLC)1300657023
|
| 050 |
|
4 |
|a QA8.4
|b .S47 2018eb
|
| 082 |
0 |
4 |
|a 510.1
|2 23
|
| 049 |
|
|
|a UAMI
|
| 100 |
1 |
|
|a Serfati, Michel.
|
| 245 |
1 |
0 |
|a Leibniz and the Invention of Mathematical Transcendence
|
| 260 |
|
|
|a Stuttgart :
|b Franz Steiner Verlag,
|c 2018.
|
| 300 |
|
|
|a 1 online resource (250 pages)
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 490 |
1 |
|
|a Studia Leibnitiana. Sonderhefte ;
|v 53
|
| 588 |
0 |
|
|a Print version record.
|
| 505 |
0 |
|
|a Intro; TABLE OF CONTENTS; LEIBNIZ AND THE INVENTION OF MATHEMATICAL TRANSCENDENCE. THE ADVENTURES OF AN IMPOSSIBLE INVENTORY; THE DISCOVERY OF THE TRANSCENDENCE; TRANSCENDENCE AND SYMBOLISM; TRANSCENDENCE AND GEOMETRY; LOOKING FOR AN INVENTORY; SYMBOLICAL INVENTORY?; GEOMETRICAL INVENTORY?; ON HIERARCHIES IN TRANSCENDENCE. EXPLORATIONS BY REPRODUCTION; RECEPTIONS OF THE TRANSCENDENCE; FIRST PART. DISCOVERING TRANSCENDENCE; CHAPTER I. ON THE GERMINATIONS OF THE CONCEPT OF 'TRANSCENDENCE'; 1673: "A TRANSCENDENT CURVE SQUARING THE CIRCLE ... "; 1674: ABOUT 'SECRET' GEOMETRY
|
| 505 |
8 |
|
|a 1675: THE LETTER TO OLDENBURG1678: THE "PERFECTION OF TRANSCENDENT CALCULUS"; CHAPTER II. SQUARING THE CIRCLE; II-A THE ARITHMETICAL QUADRATURE OF THE CIRCLE (1673), OR THE VERY FIRST MATHEMATICAL GLORY OF LEIBNIZ; The quadrature of the hyperbola in Mercator; Quadratrices and symbolic substitutions: the mathematical ideas of Leibniz; Leibniz on "the exact proportion ... "; Some reflections on the integration of rational fractions; II-B LEIBNIZ AND THE IMPOSSIBILITY OF THE ANALYTICAL QUADRATURE OF THE CIRCLE OF GREGORY; The true quadrature of the circle and hyperbola, by James Gregory
|
| 505 |
8 |
|
|a The geometric-harmonic mean of GregoryLeibniz and the "convergence" of adjacent sequences (1676); Leibniz's "means by composition"; A mathematical appendix: the geometric-harmonic mean (G-H); CHAPTER III THE POWER OF SYMBOLISM: EXPONENTIALS WITH LETTERS; III-A EPISTOLA PRIOR, OR LEIBNIZ'S DISCOVERY OF SYMBOLIC FORMS WITHOUT A SUBSTANCE (JUNE 1676); Fractional exponents; Symbolism without interpretation?; On the consistency of Newton's exponential; 'Permanence-Ramification'. A scheme; III-B THE EPISTOLA POSTERIOR (OCTOBER 1676); Irrational Exponents; Letters in Exponents
|
| 505 |
8 |
|
|a III-C DESCARTES, LEIBNIZ AND THE IDEALIZED IMAGE OF THE EXPONENTIALGradus indefinitus; Descartes and Newton transcended by Leibniz; CONCLUSION OF THE FIRST PART: THE TRANSCENDENT IDENTIFIED WITH THE NON-CARTESIAN FIELD; SECOND PART. THE SEARCH FOR AN INVENTORY; CHAPTER IV FROM INFINITELY SMALL ELEMENTS TO THE EXPONENTIAL UTOPIA; IV-A TSCHIRNHAUS AND THE INVENTORIES OF 1679-1684; IV-B DE BEAUNE, DESCARTES, LEIBNIZ, AND THE INFINITELY SMALL ELEMENTS; When a curve is no longer considered as "a set of points" (in modern terminology); Descartes and De Beaune's problem
|
| 505 |
8 |
|
|a Leibniz and De Beaune's problemIV-C ON EXPONENTIAL SYMBOLISMS; IV-C1 ON THE RESOLUTION OF THE EXPONENTIAL EQUATIONS. THE "ADMIRABLE EXAMPLE"; The admirable example; The impossibility of effective resolutions; IV-C2 EXPONENTIAL EXPRESSIONS AND THE DIALECTICS OF INDETERMINACY -- THE STATUS OF THE LETTER; The symbolism of quantities "arbitrary, but however fixed"; When the unknown enters the exponent; Towards letteralized exponentials; IV-C3 TOWARDS A HIERARCHY IN TRANSCENDENCE: THE INTERSCENDENT EXPONENTIALS; When the degree of the exponential "falls between" two integers
|
| 500 |
|
|
|a A hierarchy in transcendence?
|
| 504 |
|
|
|a Includes bibliographical references (pages 217-225).
|
| 590 |
|
|
|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
|
| 600 |
1 |
0 |
|a Leibniz, Gottfried Wilhelm,
|c Freiherr von,
|d 1646-1716.
|
| 600 |
1 |
7 |
|a Leibniz, Gottfried Wilhelm,
|c Freiherr von,
|d 1646-1716
|2 fast
|
| 650 |
|
0 |
|a Mathematics
|x Philosophy.
|
| 650 |
|
0 |
|a Transcendence (Philosophy)
|
| 650 |
|
0 |
|a Transcendental numbers.
|
| 650 |
|
6 |
|a Mathématiques
|x Philosophie.
|
| 650 |
|
6 |
|a Transcendance (Philosophie)
|
| 650 |
|
6 |
|a Nombres transcendants.
|
| 650 |
|
7 |
|a Mathematics
|x Philosophy
|2 fast
|
| 650 |
|
7 |
|a Transcendence (Philosophy)
|2 fast
|
| 650 |
|
7 |
|a Transcendental numbers
|2 fast
|
| 776 |
0 |
8 |
|i Print version:
|a Serfati, Michel.
|t Leibniz and the Invention of Mathematical Transcendence.
|d Stuttgart : Franz Steiner Verlag, ©2018
|
| 830 |
|
0 |
|a Studia Leibnitiana.
|p Sonderheft ;
|v 53.
|
| 856 |
4 |
0 |
|u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=2478774
|z Texto completo
|
| 938 |
|
|
|a ProQuest Ebook Central
|b EBLB
|n EBL5805702
|
| 938 |
|
|
|a YBP Library Services
|b YANK
|n 16328148
|
| 938 |
|
|
|a EBSCOhost
|b EBSC
|n 2478774
|
| 994 |
|
|
|a 92
|b IZTAP
|
