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Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory

29 Jun 2025

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Explores abstract algebra, commencing with fundamental set theory and number theory, including operations like unions and intersections, equivalence relations, and properties of integers and primes. It then progresses to define and analyze various algebraic structures, such as rings, groups, and fields, detailing their axioms, homomorphisms, and isomorphisms. Concepts like integral domains, quotient groups/rings, direct products, and unique factorization are thoroughly examined. The material further extends to linear algebra, discussing vector spaces, matrices, linear transformations, and inner product spaces, and concludes with an introduction to field extensions and Galois theory, touching upon the insolvability of the quintic and classical geometric construction impossibilities.You can listen and download our episodes for free on more than 10 different platforms:https://linktr.ee/book_shelterGet the Book now from Amazon:https://www.amazon.com/Introduction-Abstract-Algebra-Numbers-Polynomials/dp/1421411768?&linkCode=ll1&tag=cvthunderx-20&linkId=705a33bd8db9e8833ca0bafc481a7730&language=en_US&ref_=as_li_ss_tlProduced by:https://www.podcaistudio.com/

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3ª PARTE | 17 DIC 2025 | EL PARTIDAZO DE COPE

01 Jan 1970

El Partidazo de COPE

13:00H | 21 DIC 2025 | Fin de Semana

01 Jan 1970

Fin de Semana

12:00H | 21 DIC 2025 | Fin de Semana

01 Jan 1970

Fin de Semana

10:00H | 21 DIC 2025 | Fin de Semana

01 Jan 1970

Fin de Semana

13:00H | 20 DIC 2025 | Fin de Semana

01 Jan 1970

Fin de Semana

12:00H | 20 DIC 2025 | Fin de Semana

01 Jan 1970

Fin de Semana

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Book Shelter

Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory

This episode hasn't been transcribed yet

Other recent transcribed episodes

3ª PARTE | 17 DIC 2025 | EL PARTIDAZO DE COPE

13:00H | 21 DIC 2025 | Fin de Semana

12:00H | 21 DIC 2025 | Fin de Semana

10:00H | 21 DIC 2025 | Fin de Semana

13:00H | 20 DIC 2025 | Fin de Semana

12:00H | 20 DIC 2025 | Fin de Semana

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