Finite Fields, With Applications to Combinatorics (Student Mathematical Library, 99) - Softcover

Soundararajan, Kannan

9781470469306: Finite Fields, With Applications to Combinatorics (Student Mathematical Library, 99)

Softcover

ISBN 10: 1470469308 ISBN 13: 9781470469306

Verlag: American Mathematical Society, 2023

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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)

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

�ber die Autorin bzw. den Autor

Kannan Soundararajan, Stanford University, CA.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag: American Mathematical Society
Erscheinungsdatum: 2023
Sprache: Englisch
ISBN 10: 1470469308
ISBN 13: 9781470469306
Einband: Taschenbuch
Anzahl der Seiten: 170
Kontakt zum Hersteller: Nicht verf�gbar
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Finite Fields, with Applications to Combinatorics (eng)

Kannan Soundararajan

Verlag: American Mathematical Society, 2022

ISBN 10: 1470469308 ISBN 13: 9781470469306

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Finite Fields, with Applications to Combinatorics

Kannan Soundararajan

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Paperback. Zustand: 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. Bestandsnummer des Verk�ufers LU-9781470469306

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Finite Fields, With Applications to Combinatorics

Soundararajan, Kannan

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Finite Fields, With Applications to Combinatorics

Kannan Soundararajan

Verlag: American Mathematical Society, 2023

ISBN 10: 1470469308 ISBN 13: 9781470469306

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Finite Fields, With Applications to Combinatorics

Soundararajan, Kannan

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Finite Fields, With Applications to Combinatorics

Soundararajan, Kannan

Verlag: American Mathematical Society, 2022

ISBN 10: 1470469308 ISBN 13: 9781470469306

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Finite Fields, with Applications to Combinatorics (Paperback)

Kannan Soundararajan

Verlag: American Mathematical Society, Providence, 2023

ISBN 10: 1470469308 ISBN 13: 9781470469306

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Paperback. Zustand: new. Paperback. 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. Uses finite field theory as a hook to introduce the reader to a range of ideas from algebra and number theory. The book constructs all finite fields from scratch and shows that they are unique up to isomorphism. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9781470469306

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