Neal Koblitz – författare

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21 produkter

Del 114 - Graduate Texts in Mathematics
Course in Number Theory and Cryptography
AvNeal Koblitz
Inbunden, Engelska, 1994
547 kr
Skickas inom 5-8 vardagar
. . . both Gauss and lesser mathematicians may be justified in rejoic ing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician's Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to "ordinary human activities" such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it is no longer inconceivable (though it hasn't happened yet) that the N. S. A. (the agency for U. S. government work on cryptography) will demand prior review and clearance before publication of theoretical research papers on certain types of number theory. In part it is the dramatic increase in computer power and sophistica tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called "computational number theory. " This book presumes almost no background in algebra or number the ory. Its purpose is to introduce the reader to arithmetic topics, both ancient and very modern, which have been at the center of interest in applications, especially in cryptography. For this reason we take an algorithmic approach, emphasizing estimates of the efficiency of the techniques that arise from the theory.
Del 58 - Graduate Texts in Mathematics
p-adic Numbers, p-adic Analysis, and Zeta-Functions
AvNeal Koblitz
Inbunden, Engelska, 1984
888 kr
Skickas inom 10-15 vardagar
Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and p-adic analysis, and he is the author of "p-adic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (Springer-Verlag).
Del 46 - London Mathematical Society Lecture Note Series
P-adic Analysis
A Short Course on Recent Work
AvNeal Koblitz,J. W. S. Casselsm. fl.
Häftad, Engelska, 1980
820 kr
Skickas inom 11-20 vardagar
This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat and Artin-Schreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research.
Towards a Quarter-Century of Public Key Cryptography
A Special Issue of DESIGNS, CODES AND CRYPTOGRAPHY An International Journal. Volume 19, No. 2/3 (2000)
AvNeal Koblitz
Inbunden, Engelska, 2000
1 142 kr
Skickas inom 10-15 vardagar
Towards a Quarter-Century of Public Key Cryptographybrings together in one place important contributions and up-to-date research results in this fast moving area. Towards a Quarter-Century of Public Key Cryptographyserves as an excellent reference, providing insight into some of the most challenging research issues in the field.
Towards a Quarter-Century of Public Key Cryptography
A Special Issue of DESIGNS, CODES AND CRYPTOGRAPHY An International Journal. Volume 19, No. 2/3 (2000)
AvNeal Koblitz
Häftad, Engelska, 2010
1 142 kr
Skickas inom 10-15 vardagar
Towards a Quarter-Century of Public Key Cryptography brings together in one place important contributions and up-to-date research results in this fast moving area. Towards a Quarter-Century of Public Key Cryptography serves as an excellent reference, providing insight into some of the most challenging research issues in the field.
Course in Number Theory and Cryptography
AvNeal Koblitz
E-bok
PDF, Engelska, 2012
702 kr
Läs direkt efter köp
. . . both Gauss and lesser mathematicians may be justified in rejoic ing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician''s Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to "ordinary human activities" such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it is no longer inconceivable (though it hasn''t happened yet) that the N. S. A. (the agency for U. S. government work on cryptography) will demand prior review and clearance before publication of theoretical research papers on certain types of number theory. In part it is the dramatic increase in computer power and sophistica tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called "computational number theory. " This book presumes almost no background in algebra or number the ory. Its purpose is to introduce the reader to arithmetic topics, both ancient and very modern, which have been at the center of interest in applications, especially in cryptography. For this reason we take an algorithmic approach, emphasizing estimates of the efficiency of the techniques that arise from the theory.
p-adic Numbers, p-adic Analysis, and Zeta-Functions
AvNeal Koblitz
E-bok
PDF, Engelska, 2012
797 kr
Läs direkt efter köp
Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin''s "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and p-adic analysis, and he is the author of "p-adic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (Springer-Verlag).
Del 114 - Graduate Texts in Mathematics
Course in Number Theory and Cryptography
AvNeal Koblitz
Häftad, Engelska, 2012
557 kr
Skickas inom 10-15 vardagar
. . . both Gauss and lesser mathematicians may be justified in rejoic ing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician's Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to "ordinary human activities" such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it is no longer inconceivable (though it hasn't happened yet) that the N. S. A. (the agency for U. S. government work on cryptography) will demand prior review and clearance before publication of theoretical research papers on certain types of number theory. In part it is the dramatic increase in computer power and sophistica tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called "computational number theory. " This book presumes almost no background in algebra or number the ory. Its purpose is to introduce the reader to arithmetic topics, both ancient and very modern, which have been at the center of interest in applications, especially in cryptography. For this reason we take an algorithmic approach, emphasizing estimates of the efficiency of the techniques that arise from the theory.
Del 58 - Graduate Texts in Mathematics
p-adic Numbers, p-adic Analysis, and Zeta-Functions
AvNeal Koblitz
Häftad, Engelska, 2012
635 kr
Skickas inom 10-15 vardagar
Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and p-adic analysis, and he is the author of "p-adic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (Springer-Verlag).
p-adic Numbers, p-adic Analysis, and Zeta-Functions
AvNEAL Koblitz
E-bok
PDF, Engelska, 2012
1 140 kr
Läs direkt efter köp
These lecture notes are intended as an introduction to p-adic analysis on the elementary level. For this reason they presuppose as little background as possi ble. Besides about three semesters of calculus, I presume some slight exposure to more abstract mathematics, to the extent that the student won''t have an adverse reaction to matrices with entries in a field other than the real numbers, field extensions of the rational numbers, or the notion of a continuous map of topolog ical spaces. The purpose of this book is twofold: to develop some basic ideas of p-adic analysis, and to present two striking applications which, it is hoped, can be as effective pedagogically as they were historically in stimulating interest in the field. The first of these applications is presented in Chapter II, since it only requires the most elementary properties of Q ; this is Mazur''s construction by p means of p-adic integration of the Kubota-Leopoldtp-adic zeta-function, which "p-adically interpolates" the values of the Riemann zeta-function at the negative odd integers. My treatment is based on Mazur''s Bourbaki notes (unpublished).
Course in Number Theory and Cryptography
AvNeal Koblitz
E-bok
PDF, Engelska, 2012
1 148 kr
Läs direkt efter köp
Towards a Quarter-Century of Public Key Cryptography
A Special Issue of DESIGNS, CODES AND CRYPTOGRAPHY An International Journal. Volume 19, No. 2/3 (2000)
AvNeal Koblitz
E-bok
PDF, Engelska, 2013
1 455 kr
Läs direkt efter köp
Towards a Quarter-Century of Public Key Cryptography brings together in one place important contributions and up-to-date research results in this fast moving area. Towards a Quarter-Century of Public Key Cryptography serves as an excellent reference, providing insight into some of the most challenging research issues in the field.
Towards a Quarter-Century of Public Key Cryptography : A Special Issue of DESIGNS, CODES AND CRYPTOGRAPHY An International Journal. Volume 19, No. 2/3
AvNeal Koblitz
Engelska, 2013
672 kr
Skickas inom 5-8 vardagar
Advances in Cryptology — CRYPTO ’96
16th Annual International Cryptology Conference, Santa Barbara, California, USA, August 18–22, 1996, Proceedings
AvNeal Koblitz
Häftad, Engelska, 1996
574 kr
Skickas inom 10-15 vardagar
Crypto '96, the Sixteenth Annual Crypto Conference, is sponsored by the International Association for Cryptologic Research (IACR), in cooperation with the IEEE Computer Society Technical Committee on Security and P- vacy and the Computer Science Department of the University of California at Santa Barbara (UCSB). It takes place at UCSB from August 18 to 22, 1996. The General Chair, Richard Graveman, is responsible for local organization and registration. The scientific program was organized by the 16-member Program C- mittee. We considered 115 papers. (An additional 15 submissions had to be summarily rejected because of lateness or major noncompliance with the c- ditions in the Call for Papers.) Of these, 30 were accepted for presentation. In addition, there will be five invited talks by Ernest Brickell. Andrew Clark, Whitfield Diffie, Ronald Rivest, and Cliff Stoll. A Rump Session will be chaired by Stuart Haber. These proceedings contain the revised versions of the 30 contributed talks. least three com- The submitted version of each paper was examined by at mittee members and/or outside experts, and their comments were taken into account in the revisions. However, the authors (and not the committee) bear full responsibility for the content of their papers.
Algebraic Aspects of Cryptography
AvNeal Koblitz
Inbunden, Engelska, 1998
1 990 kr
Skickas inom 10-15 vardagar
This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or advanced undergraduate students, as well as to scientists in other fields. The first three chapters form a self-contained introduction to basic concepts and techniques. Here my approach is intuitive and informal. For example, the treatment of computational complexity in Chapter 2, while lacking formalistic rigor, emphasizes the aspects of the subject that are most important in cryptography. Chapters 4-6 and the Appendix contain material that for the most part has not previously appeared in textbook form. A novel feature is the inclusion of three types of cryptography - "hidden monomial" systems, combinatorial-algebraic sys tems, and hyperelliptic systems - that are at an early stage of development. It is too soon to know which, if any, of these cryptosystems will ultimately be of practical use. But in the rapidly growing field of cryptography it is worthwhile to continually explore new one-way constructions coming from different areas of mathematics. Perhaps some of the readers will contribute to the research that still needs to be done. This book is designed not as a comprehensive reference work, but rather as a selective textbook. The many exercises (with answers at the back of the book) make it suitable for use in a math or computer science course or in a program of independent study.
Advances in Cryptology - CRYPTO '96
16th Annual International Cryptology Conference, Santa Barbara, California, USA, August 18–22, 1996, Proceedings
AvNeal Koblitz
E-bok
PDF, Engelska, 1996
718 kr
Läs direkt efter köp
Crypto ''96, the Sixteenth Annual Crypto Conference, is sponsored by the International Association for Cryptologic Research (IACR), in cooperation with the IEEE Computer Society Technical Committee on Security and P- vacy and the Computer Science Department of the University of California at Santa Barbara (UCSB). It takes place at UCSB from August 18 to 22, 1996. The General Chair, Richard Graveman, is responsible for local organization and registration. The scientific program was organized by the 16-member Program C- mittee. We considered 115 papers. (An additional 15 submissions had to be summarily rejected because of lateness or major noncompliance with the c- ditions in the Call for Papers.) Of these, 30 were accepted for presentation. In addition, there will be five invited talks by Ernest Brickell. Andrew Clark, Whitfield Diffie, Ronald Rivest, and Cliff Stoll. A Rump Session will be chaired by Stuart Haber. These proceedings contain the revised versions of the 30 contributed talks. least three com- The submitted version of each paper was examined by at mittee members and/or outside experts, and their comments were taken into account in the revisions. However, the authors (and not the committee) bear full responsibility for the content of their papers.
Random Curves
Journeys of a Mathematician
AvNeal Koblitz
Inbunden, Engelska, 2007
1 294 kr
Skickas inom 10-15 vardagar
These autobiographical memoirs of Neal Koblitz, coinventor of one of the two most popular forms of encryption and digital signature, cover many topics besides his own personal career in mathematics and cryptography - travels to the Soviet Union, Latin America, Vietnam and elsewhere, political activism, and academic controversies relating to math education, the C. P. Snow two-culture problem, and mistreatment of women in academia.The stories speak for themselves and reflect the experiences of a student and later a scientist caught up in the tumultuous events of his generation.
Random Curves
Journeys of a Mathematician
AvNeal Koblitz
E-bok
PDF, Engelska, 2009
1 037 kr
Läs direkt efter köp
These autobiographical memoirs of Neal Koblitz, coinventor of one of the two most popular forms of encryption and digital signature, cover many topics besides his own personal career in mathematics and cryptography - travels to the Soviet Union, Latin America, Vietnam and elsewhere, political activism, and academic controversies relating to math education, the C. P. Snow two-culture problem, and mistreatment of women in academia.
The stories speak for themselves and reflect the experiences of a student and later a scientist caught up in the tumultuous events of his generation.
Algebraic Aspects of Cryptography
AvNeal Koblitz
Häftad, Engelska, 2010
1 990 kr
Skickas inom 10-15 vardagar
This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or advanced undergraduate students, as well as to scientists in other fields. The first three chapters form a self-contained introduction to basic concepts and techniques. Here my approach is intuitive and informal. For example, the treatment of computational complexity in Chapter 2, while lacking formalistic rigor, emphasizes the aspects of the subject that are most important in cryptography. Chapters 4-6 and the Appendix contain material that for the most part has not previously appeared in textbook form. A novel feature is the inclusion of three types of cryptography - "hidden monomial" systems, combinatorial-algebraic sys tems, and hyperelliptic systems - that are at an early stage of development. It is too soon to know which, if any, of these cryptosystems will ultimately be of practical use. But in the rapidly growing field of cryptography it is worthwhile to continually explore new one-way constructions coming from different areas of mathematics. Perhaps some of the readers will contribute to the research that still needs to be done. This book is designed not as a comprehensive reference work, but rather as a selective textbook. The many exercises (with answers at the back of the book) make it suitable for use in a math or computer science course or in a program of independent study.
Random Curves
Journeys of a Mathematician
AvNeal Koblitz
Häftad, Engelska, 2014
884 kr
Skickas inom 10-15 vardagar
These autobiographical memoirs of Neal Koblitz, coinventor of one of the two most popular forms of encryption and digital signature, cover many topics besides his own personal career in mathematics and cryptography - travels to the Soviet Union, Latin America, Vietnam and elsewhere, political activism, and academic controversies relating to math education, the C. P. Snow two-culture problem, and mistreatment of women in academia.The stories speak for themselves and reflect the experiences of a student and later a scientist caught up in the tumultuous events of his generation.
Algebraic Aspects of Cryptography
AvNeal Koblitz
E-bok
PDF, Engelska, 2012
2 524 kr
Läs direkt efter köp
This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or advanced undergraduate students, as well as to scientists in other fields. The first three chapters form a self-contained introduction to basic concepts and techniques. Here my approach is intuitive and informal. For example, the treatment of computational complexity in Chapter 2, while lacking formalistic rigor, emphasizes the aspects of the subject that are most important in cryptography. Chapters 4-6 and the Appendix contain material that for the most part has not previously appeared in textbook form. A novel feature is the inclusion of three types of cryptography - "hidden monomial" systems, combinatorial-algebraic sys tems, and hyperelliptic systems - that are at an early stage of development. It is too soon to know which, if any, of these cryptosystems will ultimately be of practical use. But in the rapidly growing field of cryptography it is worthwhile to continually explore new one-way constructions coming from different areas of mathematics. Perhaps some of the readers will contribute to the research that still needs to be done. This book is designed not as a comprehensive reference work, but rather as a selective textbook. The many exercises (with answers at the back of the book) make it suitable for use in a math or computer science course or in a program of independent study.

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Neal Koblitz – författare

Course in Number Theory and Cryptography

p-adic Numbers, p-adic Analysis, and Zeta-Functions

P-adic Analysis

Towards a Quarter-Century of Public Key Cryptography

Towards a Quarter-Century of Public Key Cryptography

Course in Number Theory and Cryptography

p-adic Numbers, p-adic Analysis, and Zeta-Functions

Course in Number Theory and Cryptography

p-adic Numbers, p-adic Analysis, and Zeta-Functions

p-adic Numbers, p-adic Analysis, and Zeta-Functions

Course in Number Theory and Cryptography

Towards a Quarter-Century of Public Key Cryptography

Towards a Quarter-Century of Public Key Cryptography : A Special Issue of DESIGNS, CODES AND CRYPTOGRAPHY An International Journal. Volume 19, No. 2/3

Advances in Cryptology — CRYPTO ’96

Algebraic Aspects of Cryptography

Advances in Cryptology - CRYPTO '96

Random Curves

Random Curves

Algebraic Aspects of Cryptography

Random Curves

Algebraic Aspects of Cryptography

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