The Analytic ArtCourier Corporation, 1 jan 2006 - 450 pagina's This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities, thus streamlining the solution of equations. Francois Viète (1540-1603), a lawyer at the court of King Henry II in Tours and Paris, wrote several treatises that are known collectively as The Analytic Art. His novel approach to the study of algebra developed the earliest articulated theory of equations, allowing not only flexibility and generality in solving linear and quadratic equations, but also something completely new—a clear analysis of the relationship between the forms of the solutions and the values of the coefficients of the original equation. Viète regarded his contribution as developing a "systematic way of thinking" leading to general solutions, rather than just a "bag of tricks" to solve specific problems. These essays demonstrate his method of applying his own ideas to existing usage in ways that led to clear formulation and solution of equations. |
Overige edities - Alles bekijken
The Analytic Art: Nine Studies in Algebra, Geometry, and Trigonometry from ... François Viète Fragmentweergave - 2006 |
The Analytic Art: Nine Studies in Algebra, Geometry, and Trigonometry from ... François Viète Fragmentweergave - 1983 |
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3BE² AB² affected cube affected square analogous anastrophe avulsed BA² base binomial root biquadratic constructed Corollary cubic derived diameter difference digits Diophantus divided divisors DºB dots equal equation Extraction extremes fifth power four continued proportionals fourth power fraction grade greater root Hence homogeneous terms hypotenuse Individual Root isosceles length linear affection linear coefficient lower-order magnitudes mean moreover multiplied negative perpendicular plane coefficient plane root plano-plane plano-solid plasmatic power affected PROPOSITION quadratic ratio remainder resolved right angle right triangle roots consists second root segment series of four sides Six times square sixth smaller root solid coefficient solid produced solido-solid straight lines subtending subtracted synaeresis taken alternately Theorem three proportionals true root Viète Viète's Zetetic