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OverviewThis book aims to promote constructive mathematics not by defining it or formalizing it but by practicing it. This means that its definitions and proofs use finite algorithms, not algorithms' that require surveying an infinite number of possibilities to determine whether a given condition is met.The topics covered derive from classic works of nineteenth century mathematics - among them Galois' theory of algebraic equations, Gauss's theory of binary quadratic forms and Abel's theorem about integrals of rational differentials on algebraic curves. For Abel's theorem the main algorithm is Newton's polygon, which is given a full treatment. Other topics covered include the fundamental theorem of algebra, the factorization of polynomials over an algebraic number field, and the spectral theorem for symmetric matrices. Full Product DetailsAuthor: Harold M EdwardsPublisher: Springer Imprint: Springer ISBN: 9786610803491ISBN 10: 6610803498 Pages: 228 Publication Date: 01 January 2005 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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