Primality Testing for Beginners (Student Mathematical Library)

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9780821898833: Primality Testing for Beginners (Student Mathematical Library)

How can you tell whether a number is prime? What if the number has hundreds or thousands of digits? This question may seem abstract or irrelevant, but in fact, primality tests are performed every time we make a secure online transaction. In 2002, Agrawal, Kayal, and Saxena answered a long-standing open question in this context by presenting a deterministic test (the AKS algorithm) with polynomial running time that checks whether a number is prime or not. What is more, their methods are essentially elementary, providing us with a unique opportunity to give a complete explanation of a current mathematical breakthrough to a wide audience. Rempe-Gillen and Waldecker introduce the aspects of number theory, algorithm theory, and cryptography that are relevant for the AKS algorithm and explain in detail why and how this test works. This book is specifically designed to make the reader familiar with the background that is necessary to appreciate the AKS algorithm and begins at a level that is suitable for secondary school students, teachers, and interested amateurs. Throughout the book, the reader becomes involved in the topic by means of numerous exercises.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

About the Author :

Lasse Rempe-Gillen, University of Liverpool, UK Rebecca Waldecker, Martin-Luther-Universitat Halle-Wittenberg, Germany

Review :

"The authors can be congratulated on making an important recent result accessible to a very wide audience." - Ch. Baxa, Monatsh Math

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Lasse Rempe-Gillen, Rebecca Waldecker
Edité par American Mathematical Society, United States (2014)
ISBN 10 : 0821898833 ISBN 13 : 9780821898833
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Description du livre American Mathematical Society, United States, 2014. Paperback. État : New. Language: English . Brand New Book. How can you tell whether a number is prime? What if the number has hundreds or thousands of digits? This question may seem abstract or irrelevant, but in fact, primality tests are performed every time we make a secure online transaction. In 2002, Agrawal, Kayal, and Saxena answered a long-standing open question in this context by presenting a deterministic test (the AKS algorithm) with polynomial running time that checks whether a number is prime or not. What is more, their methods are essentially elementary, providing us with a unique opportunity to give a complete explanation of a current mathematical breakthrough to a wide audience. Rempe-Gillen and Waldecker introduce the aspects of number theory, algorithm theory, and cryptography that are relevant for the AKS algorithm and explain in detail why and how this test works. This book is specifically designed to make the reader familiar with the background that is necessary to appreciate the AKS algorithm and begins at a level that is suitable for secondary school students, teachers, and interested amateurs. Throughout the book, the reader becomes involved in the topic by means of numerous exercises. N° de réf. du libraire AAN9780821898833

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Lasse Rempe-gillen; Rebecca Waldecker
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Lasse Rempe-Gillen, Rebecca Waldecker
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Description du livre American Mathematical Society. Paperback. État : new. BRAND NEW, Primality Testing for Beginners, Lasse Rempe-Gillen, Rebecca Waldecker, How can you tell whether a number is prime? What if the number has hundreds or thousands of digits? This question may seem abstract or irrelevant, but in fact, primality tests are performed every time we make a secure online transaction. In 2002, Agrawal, Kayal, and Saxena answered a long-standing open question in this context by presenting a deterministic test (the AKS algorithm) with polynomial running time that checks whether a number is prime or not. What is more, their methods are essentially elementary, providing us with a unique opportunity to give a complete explanation of a current mathematical breakthrough to a wide audience. Rempe-Gillen and Waldecker introduce the aspects of number theory, algorithm theory, and cryptography that are relevant for the AKS algorithm and explain in detail why and how this test works. This book is specifically designed to make the reader familiar with the background that is necessary to appreciate the AKS algorithm and begins at a level that is suitable for secondary school students, teachers, and interested amateurs. Throughout the book, the reader becomes involved in the topic by means of numerous exercises. N° de réf. du libraire B9780821898833

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ISBN 10 : 0821898833 ISBN 13 : 9780821898833
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Description du livre American Mathematical Society, 2014. PAP. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire CE-9780821898833

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Description du livre American Mathematical Society, United States, 2014. Paperback. État : New. Language: English . Brand New Book. How can you tell whether a number is prime? What if the number has hundreds or thousands of digits? This question may seem abstract or irrelevant, but in fact, primality tests are performed every time we make a secure online transaction. In 2002, Agrawal, Kayal, and Saxena answered a long-standing open question in this context by presenting a deterministic test (the AKS algorithm) with polynomial running time that checks whether a number is prime or not. What is more, their methods are essentially elementary, providing us with a unique opportunity to give a complete explanation of a current mathematical breakthrough to a wide audience. Rempe-Gillen and Waldecker introduce the aspects of number theory, algorithm theory, and cryptography that are relevant for the AKS algorithm and explain in detail why and how this test works. This book is specifically designed to make the reader familiar with the background that is necessary to appreciate the AKS algorithm and begins at a level that is suitable for secondary school students, teachers, and interested amateurs. Throughout the book, the reader becomes involved in the topic by means of numerous exercises. N° de réf. du libraire AAN9780821898833

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Rempe-gillen, Lasse/ Waldecker, Rebecca
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Description du livre Amer Mathematical Society, 2014. Paperback. État : Brand New. 248 pages. 8.75x6.00x0.50 inches. In Stock. N° de réf. du libraire __0821898833

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