Number Theory Toward Rsa Cryptography PDF Download
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Author: Mohamed Omar
Publisher: Createspace Independent Publishing Platform
ISBN: 9781978457461
Category :
Languages : en
Pages : 54
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Book Description
This book covers the material from a gentle introduction to concepts in number theory, building up the necessary content to understand the fundamentals of RSA cryptography. It encompasses the material the author usually teaches over 10 lectures in his undergraduate Discrete Mathematics class. The book is fantastic for: i) students and instructors who prefer an intuitive approach to theorem development in elementary number theory ii) individuals who want to understand all the mathematics leading up to and including RSA cryptography
Author: Mohamed Omar
Publisher: Createspace Independent Publishing Platform
ISBN: 9781978457461
Category :
Languages : en
Pages : 54
Get Book Here
Book Description
This book covers the material from a gentle introduction to concepts in number theory, building up the necessary content to understand the fundamentals of RSA cryptography. It encompasses the material the author usually teaches over 10 lectures in his undergraduate Discrete Mathematics class. The book is fantastic for: i) students and instructors who prefer an intuitive approach to theorem development in elementary number theory ii) individuals who want to understand all the mathematics leading up to and including RSA cryptography
Author: Harold M. Edwards
Publisher: American Mathematical Soc.
ISBN: 9780821844397
Category : Mathematics
Languages : en
Pages : 228
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Book Description
Among the topics featured in this textbook are: congruences; the fundamental theorem of arithmetic; exponentiation and orders; primality testing; the RSA cipher system; polynomials; modules of hypernumbers; signatures of equivalence classes; and the theory of binary quadratic forms. The book contains exercises with answers.
Author: Steven D. Galbraith
Publisher: Cambridge University Press
ISBN: 1107013925
Category : Computers
Languages : en
Pages : 631
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Book Description
This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.
Author: Oleg Nikolaevich Vasilenko
Publisher: American Mathematical Soc.
ISBN: 9780821840900
Category : Language Arts & Disciplines
Languages : en
Pages : 274
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Book Description
Algorithmic number theory is a rapidly developing branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. Among the algorithms used in cryptography, the following are especially important: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic curves; algorithms for computation of discrete logarithms; algorithms for solving linear equations over finite fields; and, algorithms for performing arithmetic operations on large integers. The book describes the current state of these and some other algorithms. It also contains extensive bibliography. For this English translation, additional references were prepared and commented on by the author.
Author: Kenneth H. Rosen
Publisher:
ISBN: 9780071244749
Category : Computer science
Languages : en
Pages : 109
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Book Description
The companion Web site -- To the student -- The foundations : logic, sets, and functions -- The fundamentals : algorithms, the integers, and matrices -- Mathematical reasoning -- Counting -- Advanced counting techniques -- Relations -- Graphs -- Trees -- Boolean algebra -- Modeling computation
Author: Sarah Flannery
Publisher: Algonquin Books
ISBN: 9781565123779
Category : Biography & Autobiography
Languages : en
Pages : 364
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Book Description
Originally published in England and cowritten with her father, "In Code" is "a wonderfully moving story about the thrill of the mathematical chase" ("Nature") and "a paean to intellectual adventure" ("Times Educational Supplement"). A memoir in mathematics, it is all about how a girl next door became an award-winning mathematician. photo insert.
Author: Alexander Stanoyevitch
Publisher: CRC Press
ISBN: 1439817634
Category : Computers
Languages : en
Pages : 646
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Book Description
From the exciting history of its development in ancient times to the present day, Introduction to Cryptography with Mathematical Foundations and Computer Implementations provides a focused tour of the central concepts of cryptography. Rather than present an encyclopedic treatment of topics in cryptography, it delineates cryptographic concepts in chronological order, developing the mathematics as needed. Written in an engaging yet rigorous style, each chapter introduces important concepts with clear definitions and theorems. Numerous examples explain key points while figures and tables help illustrate more difficult or subtle concepts. Each chapter is punctuated with "Exercises for the Reader;" complete solutions for these are included in an appendix. Carefully crafted exercise sets are also provided at the end of each chapter, and detailed solutions to most odd-numbered exercises can be found in a designated appendix. The computer implementation section at the end of every chapter guides students through the process of writing their own programs. A supporting website provides an extensive set of sample programs as well as downloadable platform-independent applet pages for some core programs and algorithms. As the reliance on cryptography by business, government, and industry continues and new technologies for transferring data become available, cryptography plays a permanent, important role in day-to-day operations. This self-contained sophomore-level text traces the evolution of the field, from its origins through present-day cryptosystems, including public key cryptography and elliptic curve cryptography.
Author: Steven J. Miller
Publisher: Princeton University Press
ISBN: 0691215979
Category : Mathematics
Languages : en
Pages : 526
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Book Description
In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory. Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.
Author: Song Y. Yan
Publisher: Springer Science & Business Media
ISBN: 366204773X
Category : Computers
Languages : en
Pages : 454
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Book Description
This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.
Author: J. H. Loxton
Publisher: Cambridge University Press
ISBN: 0521398770
Category : Mathematics
Languages : en
Pages : 249
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Book Description
Papers presented by prominent contributors at a workshop on Number Theory and Cryptography, and the annual meeting of the Australian Mathematical Society.
