| 000 -LEADER |
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| fixed length control field |
a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250317b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470469306 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.74 |
| Item number |
SOU |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Soundararajan, Kannan |
| 245 ## - TITLE STATEMENT |
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| Title |
Finite fields, with applications to combinatorics |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
2022 |
| Place of publication, distribution, etc |
Providence : |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 170 p. ; |
| Other physical details |
ill., |
| Dimensions |
22 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
59.00 |
| Price type code |
$ |
| Unit of pricing |
90.60 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Student mathematical library ; |
| Volume number/sequential designation |
v.99 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Combinatorial analysis |
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| Topical term or geographic name as entry element |
Bertrand's postulate |
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| Topical term or geographic name as entry element |
Cyclic group |
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| Topical term or geographic name as entry element |
Euclidean domain |
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| Topical term or geographic name as entry element |
Gaussian integers |
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| Topical term or geographic name as entry element |
General field theory |
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| Topical term or geographic name as entry element |
Integral domain |
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| Topical term or geographic name as entry element |
Polynomial ring |
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| Topical term or geographic name as entry element |
Quotient ring |
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| Topical term or geographic name as entry element |
Sidon set |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Item type |
Books |