Handbook of Finite Fields: Discrete Mathematics and Its Applications
Autor Gary L. Mullen, Daniel Panarioen Limba Engleză Hardback – 17 iun 2013
The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate up-to-date facts and results regarding finite fields.
Toate formatele și edițiile | Preț | Express |
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Paperback (1) | 762.66 lei 43-57 zile | |
CRC Press – 14 oct 2024 | 762.66 lei 43-57 zile | |
Hardback (1) | 1232.12 lei 43-57 zile | |
CRC Press – 17 iun 2013 | 1232.12 lei 43-57 zile |
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Specificații
ISBN-13: 9781439873786
ISBN-10: 143987378X
Pagini: 1070
Ilustrații: 12 black & white illustrations, 40 black & white tables
Dimensiuni: 178 x 254 x 56 mm
Greutate: 1.81 kg
Ediția:New.
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Discrete Mathematics and Its Applications
Locul publicării:Boca Raton, United States
ISBN-10: 143987378X
Pagini: 1070
Ilustrații: 12 black & white illustrations, 40 black & white tables
Dimensiuni: 178 x 254 x 56 mm
Greutate: 1.81 kg
Ediția:New.
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Discrete Mathematics and Its Applications
Locul publicării:Boca Raton, United States
Public țintă
AcademicCuprins
INTRODUCTION: History of Finite Fields. Introduction to Finite Fields. THEORETICAL PROPERTIES: Irreducible Polynomials. Primitive Polynomials. Bases. Exponential and Character Sums. Equations over Finite Fields. Permutation Polynomials. Special Functions over Finite Fields. Sequences over Finite Fields. Algorithms. Curves over Finite Fields. Miscellaneous Theoretical Topics. APPLICATIONS: Combinatorial. Algebraic Coding Theory. Cryptography. Miscellaneous Applications. Bibliography. Index.
Notă biografică
Gary L. Mullen is a professor of mathematics at The Pennsylvania State University.
Daniel Panario is a professor of mathematics at Carleton University.
Daniel Panario is a professor of mathematics at Carleton University.
Recenzii
"... a brilliant, monumental work on the state of the art in theory and applications of finite fields. It's a must for everyone doing research in finite fields and their related areas. ... It presents such a huge amount of information readily available and masterly presented. Editors, contributors, and the publisher are equally congratulated for providing such a beautiful result not only for the finite field community, but also for those from the applied areas, especially cryptographers and coding theorists."
—Olaf Ninnemann, Berlin, in Zentralblatt MATH 1319
"The handbook will be very useful for senior-level students, teachers, and researchers in mathematics and computer science. It will also be useful for scientists, engineers, and practitioners. The handbook is well organized. ... It is likely to become a standard reference book for the theory and applications of finite fields. ... It will be a very useful addition to the libraries of academic and research institutions."
—S.V.Nagaraj, Chennai, India, in SIGACT News
—Olaf Ninnemann, Berlin, in Zentralblatt MATH 1319
"The handbook will be very useful for senior-level students, teachers, and researchers in mathematics and computer science. It will also be useful for scientists, engineers, and practitioners. The handbook is well organized. ... It is likely to become a standard reference book for the theory and applications of finite fields. ... It will be a very useful addition to the libraries of academic and research institutions."
—S.V.Nagaraj, Chennai, India, in SIGACT News
Descriere
Poised to become the leading reference in the field, this definitive handbook is exclusively devoted to the theory and applications of finite fields. Edited by two renowned researchers and with more than 80 international contributors compiling state-of-the-art research, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The handbook provides a comprehensive index and easy access to over 3,000 references, enabling readers to quickly locate up-to-date facts and results regarding finite fields.