Essays in Constructive Mathematics

Name: Essays in Constructive Mathematics
Brand: Springer Nature
SKU: 9783030985578
Availability: InStock

Essays in Constructive Mathematics

Brand

Springer Nature

Manufacturer

N/A

Part Number

GTIN

9783030985578

Condition

New

0 Reviews

0 Questions | 0 Answers

Product Description

This collection of essays aims to promote constructive mathematics, not by defining it or formalizing it, but by practicing it. All definitions and proofs are based on finite algorithms, which pave illuminating paths to nontrivial results, primarily in algebra, number theory, and the theory of algebraic curves. The second edition adds a new set of essays that reflect and expand upon the first. The topics covered derive from classic works of nineteenth-century mathematics, among them Galoiss theory of algebraic equations, Gausss theory of binary quadratic forms, and Abels theorems about integrals of rational differentials on algebraic curves. Other topics include Newton's diagram, the fundamental theorem of algebra, factorization of polynomials over constructive fields, and the spectral theorem for symmetric matrices, all treated using constructive methods in the spirit of Kronecker. In this second edition, the essays of the first edition are augmented with newessays that give deeper and more complete accounts of Galoiss theory, points on an algebraic curve, and Abels theorem. Readers will experience the full power of Galoiss approach to solvability by radicals, learn how to construct points on an algebraic curve using Newtons diagram, and appreciate the amazing ideas introduced by Abel in his 1826 Paris memoir on transcendental functions. Mathematical maturity is required of the reader, and some prior knowledge of Galois theory is helpful. But experience with constructive mathematics is not necessary; readers should simply be willing to set aside abstract notions of infinity and explore deep mathematics via explicit constructions.

Available Colors

N/A

Available Sizes

N/A

1 Offer Price Range: $84.99 - $84.99

BEST PRICE

Single Product Purchase

$84.99

@ Link.springer.com BUY Now

Price Comparison

Seller	Contact Seller	List Price	On Sale	Shipping	Best Promo	Final Price	Volume Discount	Financing	Availability	Seller's Page
BEST PRICE 1 Product Purchase @ Link.springer.com Rate Seller This functionality is for registered users only. Go to Login/Register		$84.99	$84.99			$84.99		See Site	In stock	Visit Store