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Sinopsis
This book uses finite field theory as a hook to introduce the reader to a range of ideas from algebra and number theory. It constructs all finite fields from scratch and shows that they are unique up to isomorphism. As a payoff, several combinatorial applications of finite fields are given: Sidon sets and perfect difference sets, de Bruijn sequences and a magic trick of Persi Diaconis, and the polynomial time algorithm for primality testing due to Agrawal, Kayal and Saxena. The book forms the basis for a one term intensive course with students meeting weekly for multiple lectures and a discussion session. Readers can expect to develop familiarity with ideas in algebra (groups, rings and fields), and elementary number theory, which would help with later classes where these are developed in greater detail. And they will enjoy seeing the AKS primality test application tying together the many disparate topics from the book. The pre-requisites for reading this book are minimal: familiarity with proof writing, some linear algebra, and one variable calculus is assumed. This book is aimed at incoming undergraduate students with a strong interest in mathematics or computer science.
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Acerca del autor
Kannan Soundararajan, Stanford University, CA.
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Finite Fields, With Applications to Combinatorics
Publicado por
American Mathematical Society, 2023
ISBN 10: 1470469308
ISBN 13: 9781470469306
Nuevo
Tapa blanda
Librería: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlanda
Calificación del vendedor: 5 de 5 estrellas
Condición: New. 2023. paperback. . . . . . Nº de ref. del artículo: V9781470469306
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Finite Fields, with Applications to Combinatorics
Publicado por
American Mathematical Society, US, 2023
ISBN 10: 1470469308
ISBN 13: 9781470469306
Nuevo
Paperback
Librería: Rarewaves.com UK, London, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. This book uses finite field theory as a hook to introduce the reader to a range of ideas from algebra and number theory. It constructs all finite fields from scratch and shows that they are unique up to isomorphism. As a payoff, several combinatorial applications of finite fields are given: Sidon sets and perfect difference sets, de Bruijn sequences and a magic trick of Persi Diaconis, and the polynomial time algorithm for primality testing due to Agrawal, Kayal and Saxena. The book forms the basis for a one term intensive course with students meeting weekly for multiple lectures and a discussion session. Readers can expect to develop familiarity with ideas in algebra (groups, rings and fields), and elementary number theory, which would help with later classes where these are developed in greater detail. And they will enjoy seeing the AKS primality test application tying together the many disparate topics from the book. The pre-requisites for reading this book are minimal: familiarity with proof writing, some linear algebra, and one variable calculus is assumed. This book is aimed at incoming undergraduate students with a strong interest in mathematics or computer science. Nº de ref. del artículo: LU-9781470469306
Cantidad disponible: 3 disponibles
Imagen de archivo
Finite Fields, with Applications to Combinatorics
Publicado por
American Mathematical Society, 2023
ISBN 10: 1470469308
ISBN 13: 9781470469306
Nuevo
PAP
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: FW-9781470469306
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Finite Fields, with Applications to Combinatorics
Publicado por
American Mathematical Society, US, 2023
ISBN 10: 1470469308
ISBN 13: 9781470469306
Nuevo
Paperback
Librería: Rarewaves.com USA, London, LONDO, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. This book uses finite field theory as a hook to introduce the reader to a range of ideas from algebra and number theory. It constructs all finite fields from scratch and shows that they are unique up to isomorphism. As a payoff, several combinatorial applications of finite fields are given: Sidon sets and perfect difference sets, de Bruijn sequences and a magic trick of Persi Diaconis, and the polynomial time algorithm for primality testing due to Agrawal, Kayal and Saxena. The book forms the basis for a one term intensive course with students meeting weekly for multiple lectures and a discussion session. Readers can expect to develop familiarity with ideas in algebra (groups, rings and fields), and elementary number theory, which would help with later classes where these are developed in greater detail. And they will enjoy seeing the AKS primality test application tying together the many disparate topics from the book. The pre-requisites for reading this book are minimal: familiarity with proof writing, some linear algebra, and one variable calculus is assumed. This book is aimed at incoming undergraduate students with a strong interest in mathematics or computer science. Nº de ref. del artículo: LU-9781470469306
Cantidad disponible: 3 disponibles
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Finite Fields, with Applications to Combinatorics (Student Mathematical Library, 99)
Publicado por
American Mathematical Society, 2022
ISBN 10: 1470469308
ISBN 13: 9781470469306
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Finite Fields, With Applications to Combinatorics
Publicado por
American Mathematical Society, 2022
ISBN 10: 1470469308
ISBN 13: 9781470469306
Nuevo
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Finite Fields, With Applications to Combinatorics
Publicado por
Amer Mathematical Society, 2023
ISBN 10: 1470469308
ISBN 13: 9781470469306
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Finite Fields, with Applications to Combinatorics
Publicado por
American Mathematical Society, 2022
ISBN 10: 1470469308
ISBN 13: 9781470469306
Nuevo
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Finite Fields, With Applications to Combinatorics
Publicado por
American Mathematical Society, 2022
ISBN 10: 1470469308
ISBN 13: 9781470469306
Nuevo
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Librería: GreatBookPricesUK, Woodford Green, Reino Unido
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Imagen de archivo
Finite Fields, With Applications to Combinatorics
Publicado por
American Mathematical Society, 2022
ISBN 10: 1470469308
ISBN 13: 9781470469306
Nuevo
Tapa blanda
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 45610191-n
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