Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

Abstract Algebra and Famous Impossibilities

Abstract Algebra and Famous Impossibilities

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783031056970
Condition
New
Product Description

This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical questions providing motivation for the algebraic concepts. By focusing on problems that are as easy to approach as they were fiendishly difficult to resolve, the authors provide a uniquely accessible introduction to the power of abstraction. Beginning with a brief account of the history of these fabled problems, the book goes on to present the theory of fields, polynomials, field extensions, and irreducible polynomials. Straightedge and compass constructions establish the standards for constructability, and offer a glimpse into why squaring, doubling, and trisecting appeared so tractable to professional and amateur mathematicians alike. However, the connection between geometry and algebra allows the reader to bypass two millennia of failed geometric attempts, arriving at the elegant algebraic conclusion that such constructions are impossible. From here, focus turns to a challenging problem within algebra itself: finding a general formula for solving a quintic polynomial. The proof of the impossibility of this task is presented using Abels original approach. Abstract Algebra and Famous Impossibilities illustrates the enormous power of algebraic abstraction by exploring several notable historical triumphs. This new edition adds the fourth impossibility: solving general quintic equations. Students and instructors alike will appreciate the illuminating examples, conversational commentary, and engaging exercises that accompany each section. A first course in linear algebra is assumed, along with a basic familiarity with integral calculus.

Available Colors
Available Sizes
1 Offer Price Range: $44.99 - $44.99
BEST PRICE

Single Product Purchase

$44.99
@ 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
Contact Store Call Store Contact Support
$44.99 $44.99

$44.99
See Site In stock Visit Store

Similar Products

The Sun: New Challenges

$129.00

Water Governance and Management in India

$69.99

Foregut Surgery

$79.99

Theory and the Common from Marx to Badiou

$39.99

Singular Perturbations in Systems and Control

$54.99

Global Entrepreneurship and Development Index 2018

$39.99

Advanced Space Propulsion Systems

$49.99

Statistik

$24.99

Experimente im Chemieunterricht Band 1

$37.99

Methodology of the Social Sciences, Ethics, and Economics in the Newer Historical School

$129.00

People for Business: The Key to Success

$74.99

Numerical Methods for Structured Matrices and Applications

$129.00

Objektorientierte Architektur fr grafische Benutzungsoberflchen

$59.99

The DSM-5 Perspective

$139.99

Thin-Film Capacitors for Packaged Electronics

$84.99

Rehabilitation interventions in the patient with obesity

$109.99

Transforming Mathematics Instruction

$199.99

No Neighbors Lands in Postwar Europe

$139.99

Computer im Praktikum

$44.99

Kleine Geheimnisse

$44.99

Advances in Ergonomics in Design

$169.00

Passion and Profit

$49.99

Strategies for Circular Economy and Cross-sectoral Exchanges for Sustainable Building Products

$99.99

Management and Ecology of Freshwater Plants

$169.99

The Glass Transition

$169.99

Computational Methods in Band Theory

$39.99

Asset Prices and the Real Economy

$109.99

Gewhnliche Differentialgleichungen hherer Ordnung

$69.99

A Social Epistemology of Research Groups

$69.99

The Roots of African-American Identity

$109.99

Markterfolg durch zukunftsfhige Entscheidungen

$39.99

Klein aber fein!

$59.99

Basiswissen Innere Medizin

$59.99

Temporal and spatial patterns of vegetation dynamics

$219.99

Youth Gangs in International Perspective

$169.99

Racist Violence in Europe

$44.99

Practice of Intramedullary Locked Nails

$39.99

Fundamental Frequency in Sentence Production

$39.99

Bile Acids in Gastroenterology

$159.99

Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015)

$169.99