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Table of contents (17 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
CANADIAN MATHEMATICAL SOCIETY NOTES
"It is certainly satisfying for the reader to have almost everything that is known on a particular subject collected in one place. Also, it contributes to a sense of mathematics as a unified subject to see several different areas enter, often in unexpected ways…I can…recommend it to number-theorists and other mathematicians alike; everybody will find useful and interesting information in it. In the classroom, this book might be suitable for undergraduate projects or supplementary readings in a number theory, algebra, or history of mathematics course. It will also be accessible to bright high school students and interested amateurs. In fact, Fermat’s name in the title may attract such readers, and they will find a well written, interesting, and mathematically sound book…"
M. Krizek; F. L. Luca; and L. Somer
17 Lectures on Fermat Numbers
From Number Theory to Geometry
"The authors have brought together a wealth of material involving the Fermat numbers . . . amateurs and high-school students should also be able to profitably read this well-written book."—MATHEMATICAL REVIEWS
"This admirable book contains what must be everything that is worth knowing about Fermat numbers. … It contains a wealth of fascinating results … . The Foreword, by Alena Šolcová, is an excellent account of Fermat’s life and works. … The authors, and the series editors, Jonathan and Peter Borwein, deserve credit and praise for producing what will be the definitive work on the subject for many years to come." (Dudley Underwood, Math DL, May, 2005)
"This book was written in celebration of the 400th anniversary of the birth of Pierre de Fermat … . The clear writing style and the evident enthusiasm of the authors make this book a pleasure to read or to dip into. It is not a text book, but might well inspirestudents at any levels, and it succeeds in making what is potentially a dry and abstract topic fresh and full of connections. It would be a valuable addition to any library." (Alison Wolff, The Australian Mathematical Society Gazette, Vol. 31 (3), 2004)
"The book is very interesting and well written – an enjoyable and very thorough collection of all the knowledge on Fermat numbers that have been accumulated during the centuries. … Those who are interested in the history of mathematics will find answers for many questions concerning the history of Fermat numbers. This is an excellent book that can be recommended to all those interested in Fermat numbers or generally in number theory." (László Megyesi, Acta Scientiarium Mathematicarum, Vol. 69, 2003)
"In this book the authors have brought together a wealth of material involving the Fermat numbers … . amateurs and high-school students should also be able to profitably read this well-written book. … It has 71 illustrations in total, an extensive list of references and a good subject and name index." (Pieter Moree, Mathematical Reviews, 2002 i)
"It is certainly satisfying for the reader to have almost everything that is known on a particular subject collected in one place. … The bibliography, with more than 350 entries, is very complete and contributes to the value of the book as reference, as do the extensive name and subject indexes. … I can … recommend it to number-theorists and other mathematicians alike; everybody will find useful and interesting information in it. … a well written, interesting, and mathematically sound book … ." (CMS Notes, Vol. 34 (8), 2002)
"Pierre de Fermat was born just over four hundred years ago, and this book is in part a celebration of his quatercentenary. … A pleasing feature of the exposition is that as many results as possible are illustrated pictorially. … The text is copiously illustrated with both photographs and excellentdiagrams, and I can recommend the book as a whole to anyone who wants to venture into this treasure-trove of somewhat arcane number theory." (Gerry Leversha, The Mathematical Gazette, Vol. 87 (509), 2003)
"The purpose of this book is to provide readers with an overview of the many properties of Fermat numbers and to demonstrate their numerous appearances and applications … . This book introduces a general mathematical audience to basic mathematical ideas and algebraic methods connected with the Fermat numbers and provides invaluable reading for amateurs and professionals alike." (L’Enseignement Mathématique, Vol. 48 (1-2), 2002)
Authors and Affiliations
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Mathematical Institute, Academy of Sciences, Czech Republic
Michal Křížek
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Mathematical Institute, National Autonomous University of Mexico, Morelia, Mexico
Florian Luca
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Department of Mathematics, Catholic University of America, USA
Lawrence Somer
Bibliographic Information
Book Title: 17 Lectures on Fermat Numbers
Book Subtitle: From Number Theory to Geometry
Authors: Michal Křížek, Florian Luca, Lawrence Somer
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/978-0-387-21850-2
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York 2001
Hardcover ISBN: 978-0-387-95332-8Published: 08 January 2002
Softcover ISBN: 978-1-4419-2952-5Published: 09 October 2011
eBook ISBN: 978-0-387-21850-2Published: 14 March 2013
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 1
Number of Pages: XXIV, 257
Topics: Number Theory, History of Mathematical Sciences, Geometry