The Basic Theory of Power Series

Name: The Basic Theory of Power Series
Brand: Springer Nature
SKU: 9783528065256
Availability: InStock

The Basic Theory of Power Series

Brand

Springer Nature

Manufacturer

N/A

Part Number

GTIN

9783528065256

Condition

New

0 Reviews

0 Questions | 0 Answers

Product Description

The aim of these notes is to cover the basic algebraic tools and results behind the scenes in the foundations of Real and Complex Analytic Geometry. The author has learned the subject through the works of many mathematicians, to all of whom he is indebted. However, as the reader will immediately realize, he was specially influenced by the writings of S.S. Abhyankar and J .-C. Tougeron. In any case, the presentation of all topics is always as elementary as it can possibly be, even at the cost of making some arguments longer. The background formally assumed consists of: 1) Polynomials: roots, factorization, discriminant; real roots, Sturm's Theorem, formally real fields; finite field extensions, Primitive Element Theorem. 2) Ideals and modules: prime and maximal ideals; Nakayama's Lemma; localiza tion. 3) Integral dependence: finite ring extensions and going-up. 4) Noetherian rings: primary decomposition, associated primes, Krull's Theorem. 5) Krull dimension: chains of prime ideals, systems of parameters; regular systems of parameters, regular rings. These topics are covered in most texts on Algebra and/or Commutative Algebra. Among them we choose here as general reference the following two: M. Atiyah, I.G. Macdonald: Introduction to Commutative Algebra, 1969, Addison-Wesley: Massachusetts; quoted [A-McD] . S. Lang: Algebra, 1965, Addison-Wesley: Massachusetts; quoted [L].

Available Colors

N/A

Available Sizes

N/A

1 Offer Price Range: $89.99 - $89.99

BEST PRICE

Single Product Purchase

$89.99

@ 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		$89.99	$89.99			$89.99		See Site	In stock	Visit Store