Articoli correlati a Finite Fields, With Applications to Combinatorics
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In a textbook for a one-term intensive mathematics course for first-year undergraduate students, Soundararajan begins with linear algebra and applications to combinatorics, moves to finite fields and applications (his main focus), and concludes with probability and random processes. He assumes minimal familiarity with proof writing, some linear algebra (mainly vector spaces over a field), and one-variable calculus. He suggests that the material would be most interesting and useful to potential honors math majors who are also interested in computer science. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
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Finite Fields, With Applications to Combinatorics
Editore:
American Mathematical Society, 2023
ISBN 10: 1470469308
ISBN 13: 9781470469306
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Finite Fields, with Applications to Combinatorics
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American Mathematical Society, US, 2023
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ISBN 13: 9781470469306
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Paperback. Condizione: 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. Codice articolo LU-9781470469306
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Finite Fields, with Applications to Combinatorics
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American Mathematical Society, US, 2023
ISBN 10: 1470469308
ISBN 13: 9781470469306
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Paperback. Condizione: 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. Codice articolo LU-9781470469306
Quantità: 3 disponibili
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Finite Fields, With Applications to Combinatorics
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American Mathematical Society, 2022
ISBN 10: 1470469308
ISBN 13: 9781470469306
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Paperback. Condizione: Brand New. 170 pages. 8.75x5.75x0.50 inches. In Stock. Codice articolo __1470469308
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Finite Fields, with Applications to Combinatorics (Student Mathematical Library, 99)
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Finite Fields, with Applications to Combinatorics
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Finite Fields, With Applications to Combinatorics
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ISBN 13: 9781470469306
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