Elementary Galois Theory

Name: Elementary Galois Theory
Brand: Springer, Berlin
SKU: 9783662666425
Price: 297.65 RON
Availability: InStock

A Constructive Approach

Autor: Marc Nieper-Wißkirchen

Limbă:

Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

Expediem în 5-8 zile

297.65 lei

Why is the squaring of the circle, why is the division of angles with compass and ruler impossible?...

Informații despre carte

Autor

Marc Nieper-Wißkirchen

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2023

Pagini

298

EAN

9783662666425

Enbook ID

42198408

Editura

Springer, Berlin

Greutate

554

Dimensiuni

155 x 235

Descriere completă

Why is the squaring of the circle, why is the division of angles with compass and ruler impossible? Why are there general solution formulas for polynomial equations of degree 2, 3 and 4, but not for degree 5 or higher? This textbook deals with such classical questions in an elementary way in the context of Galois theory. It thus provides a classical introduction and at the same time deals with applications. The point of view of a constructive mathematician is consistently adopted: To prove the existence of a mathematical object, an algorithmic construction of that object is always given. Some statements are therefore formulated somewhat more cautiously than is classically customary; some proofs are more elaborately conducted, but are clearer and more comprehensible. Abstract theories and definitions are derived from concrete problems and solutions and can thus be better understood and appreciated. The material in this volume can be covered in a one-semester lecture on algebra right at the beginning of mathematics studies and is equally suitable for first-year students at the Bachelor's level and for teachers. The central statements are already summarised and concisely presented within the text, so the reader is encouraged to pause and reflect and can repeat content in a targeted manner. In addition, there is a short summary at the end of each chapter, with which the essential arguments can be comprehended step by step, as well as numerous exercises with an increasing degree of difficulty.

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Elementary Galois Theory

A Constructive Approach

Informații despre carte

Descriere completă

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și