The fundamental theorem of algebra and complexity theory

S Smale - Bulletin of the American Mathematical Society, 1981 - ams.org
… ask "Has the fundamental theorem of algebra been proved … proof of the Fundamental
Theorem of Algebra was in Gauss' … , and that is the algorithm studied in this paper where hn = h …

The fundamental theorem of algebra

R Remmert - Graduate Texts in Mathematics, 1991 - books.google.com
… the fundamental theorem, which will be called upon more and more in the later chapters on
algebras. In particular we shall prove in 3.5 the theorem … is the critical study by WK BÜHLER …

[PDF][PDF] The fundamental theorem of algebra in terms of computational complexity

A Schönhage - Manuscript. Univ. of Tübingen, Germany, 1982 - Citeseer
… For many centuries the problem of solving polynomial equations was mainly studied in terms
of … Weyl gave a constructive proof for the fundamental theorem of algebra [33]. In modern …

[PDF][PDF] The fundamental theorem of algebra

Y Tao - 1960 - circles.math.ucla.edu
… the famous Fundamental Theorem of Algebra: Theorem 2 (Fundamental Theorem of Algebra)
… We won’t formally study these this week, but our intuition from graphs of polynomials does …

[PDF][PDF] The fundamental theorem of algebra

I Lankham, B Nachtergaele, A Schilling - 2006 - math.ucdavis.edu
… The aim of these notes is to provide a proof of the Fundamental Theorem of Algebra using
concepts that should be familiar to you from your study of Calculus, and so we begin by …

Proof of the fundamental theorem of algebra

JL Brenner, RC Lyndon - The American Mathematical Monthly, 1981 - Taylor & Francis
… that the theorem is not really a theorem of algebra but of … surely anything called a fundamental
theorem ought to depend … we do not actually prove the fundamental theorem, but only the …

The fundamental theorem of algebra in recursive analysis

E Specker - Ernst Specker Selecta, 2011 - Springer
… In order to prove the weak fundamental theorem, it suffices … proofs of the classical fundamental
theorem. The non-effectiveness … we study the map associating the system of roots to a poly…

[图书][B] Fundamental concepts of algebra

BE Meserve - 1982 - books.google.com
… While intended for students who have previously studied college mathematics through
calculus, this book has also been successfully used where calculus was not a prerequisite. It …

Fundamental theorem of algebra for monosplines and related results

RB Barrar, HL Loeb - SIAM Journal on Numerical Analysis, 1980 - SIAM
… The main application is to a study of the fundamental theorem of algebra for polynomial
monosplines with multiplezeros and nodes. The results extend those of Micchelli (in Linear …

The fundamental theorem of linear algebra

G Strang - The American Mathematical Monthly, 1993 - Taylor & Francis
… The explanation is much more gradual than in this paper-but every course has to study
subspaces! We should … To complete the Fundamental Theorem, we make two requirements: …