Koblitz, Neal 1948
Overview
Works:  55 works in 303 publications in 4 languages and 7,531 library holdings 

Genres:  Biography Conference proceedings History 
Roles:  Author, Translator, Editor, Creator, Thesis advisor 
Classifications:  QA241, 512.74 
Publication Timeline
.
Most widely held works about
Neal Koblitz
 Random curves journeys of a mathematician by Neal Koblitz Neal Koblitz( )
Most widely held works by
Neal Koblitz
A course in number theory and cryptography
by
Neal Koblitz(
Book
)
48 editions published between 1987 and 2013 in English and Japanese and held by 1,411 WorldCat member libraries worldwide
The purpose of this book is to introduce the reader to arithmetic topics, both ancient and modern, that have been at the center of interest in applications of number theory, particularly in cryptography. No background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasizing estimates of the efficiency of the techniques that arise from the theory. A special feature is the inclusion of recent application of the theory of elliptic curves. Extensive exercises and careful answers have been included in all of the chapters. Because number theory and cryptography are fastmoving fields, this new edition contains substantial revisions and updated references
48 editions published between 1987 and 2013 in English and Japanese and held by 1,411 WorldCat member libraries worldwide
The purpose of this book is to introduce the reader to arithmetic topics, both ancient and modern, that have been at the center of interest in applications of number theory, particularly in cryptography. No background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasizing estimates of the efficiency of the techniques that arise from the theory. A special feature is the inclusion of recent application of the theory of elliptic curves. Extensive exercises and careful answers have been included in all of the chapters. Because number theory and cryptography are fastmoving fields, this new edition contains substantial revisions and updated references
Introduction to elliptic curves and modular forms
by
Neal Koblitz(
Book
)
30 editions published between 1984 and 2013 in English and Japanese and held by 1,040 WorldCat member libraries worldwide
The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the HasseWeil Lfunction and the conjecture of Birch and SwinnertonDyer. The second edition of this text includes an updated bibliography indicating the latest, dramatic changes in the direction of proving the Birch and Swinnerton conjecture. It also discusses the current state of knowledge of elliptic curves
30 editions published between 1984 and 2013 in English and Japanese and held by 1,040 WorldCat member libraries worldwide
The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the HasseWeil Lfunction and the conjecture of Birch and SwinnertonDyer. The second edition of this text includes an updated bibliography indicating the latest, dramatic changes in the direction of proving the Birch and Swinnerton conjecture. It also discusses the current state of knowledge of elliptic curves
Padic numbers, padic analysis, and zetafunctions
by
Neal Koblitz(
Book
)
32 editions published between 1977 and 2014 in 3 languages and held by 921 WorldCat member libraries worldwide
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 padic analysis, and he is the author of "padic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (SpringerVerlag)
32 editions published between 1977 and 2014 in 3 languages and held by 921 WorldCat member libraries worldwide
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 padic analysis, and he is the author of "padic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (SpringerVerlag)
Padic analysis a short course on recent work
by
Neal Koblitz(
)
14 editions published in 1980 in English and Undetermined and held by 890 WorldCat member libraries worldwide
This introduction to recent work in padic 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 padic numbers and the padic analog of the complex number field, power series and Newton polygons), the author develops the properties of padic Dirichlet Lseries using padic measures and integration. padic gamma functions are introduced, and their relationship to Lseries is explored. Analogies with the corresponding complex analytic case are stressed
14 editions published in 1980 in English and Undetermined and held by 890 WorldCat member libraries worldwide
This introduction to recent work in padic 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 padic numbers and the padic analog of the complex number field, power series and Newton polygons), the author develops the properties of padic Dirichlet Lseries using padic measures and integration. padic gamma functions are introduced, and their relationship to Lseries is explored. Analogies with the corresponding complex analytic case are stressed
Algebraic aspects of cryptography
by
Neal Koblitz(
Book
)
26 editions published between 1997 and 2004 in 4 languages and held by 732 WorldCat member libraries worldwide
This is a textbook for a course (or selfinstruction) in cryptography with emphasis on algebraic methods. The first half of the book is a selfcontained informal introduction to areas of algebra, number theory, and computer science that are used in cryptography. Most of the material in the second half  "hidden monomial" systems, combinatorialalgebraic systems, and hyperelliptic systems  has not previously appeared in monograph form. The Appendix by Menezes, Wu, and Zuccherato gives an elementary treatment of hyperelliptic curves. This book is intended for graduate students, advanced undergraduates, and scientists working in various fields of data security. From the reviews: " ... This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. ... Overall, this is an excellent expository text, and will be very useful to both the student and researcher." M.V.D. Burmester, Mathematical Reviews 2002 " ... I think this book is a very inspiring book on cryptography. It goes beyond the traditional topics (most of the cryptosystems presented here are first time in a textbook, some of Patarin's work is not published yet). This way the reader has the feeling how easy to suggest a cryptosystem, how easy to break a safe looking system and hence how hard to trust one. The interested readers are forced to think together with their researchers and feel the joy of discovering new ideas. At the same time the importance of "hardcore" mathematics is emphasized and hopefully some application driven students will be motivated to study theory." P. Hajnal, Acta Scientiarum Mathematicarum 64.1998 " ... Overall, the book is highly recommended to everyone who has the requisite mathematical sophistication." E. Leiss, Computing Reviews 1998
26 editions published between 1997 and 2004 in 4 languages and held by 732 WorldCat member libraries worldwide
This is a textbook for a course (or selfinstruction) in cryptography with emphasis on algebraic methods. The first half of the book is a selfcontained informal introduction to areas of algebra, number theory, and computer science that are used in cryptography. Most of the material in the second half  "hidden monomial" systems, combinatorialalgebraic systems, and hyperelliptic systems  has not previously appeared in monograph form. The Appendix by Menezes, Wu, and Zuccherato gives an elementary treatment of hyperelliptic curves. This book is intended for graduate students, advanced undergraduates, and scientists working in various fields of data security. From the reviews: " ... This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. ... Overall, this is an excellent expository text, and will be very useful to both the student and researcher." M.V.D. Burmester, Mathematical Reviews 2002 " ... I think this book is a very inspiring book on cryptography. It goes beyond the traditional topics (most of the cryptosystems presented here are first time in a textbook, some of Patarin's work is not published yet). This way the reader has the feeling how easy to suggest a cryptosystem, how easy to break a safe looking system and hence how hard to trust one. The interested readers are forced to think together with their researchers and feel the joy of discovering new ideas. At the same time the importance of "hardcore" mathematics is emphasized and hopefully some application driven students will be motivated to study theory." P. Hajnal, Acta Scientiarum Mathematicarum 64.1998 " ... Overall, the book is highly recommended to everyone who has the requisite mathematical sophistication." E. Leiss, Computing Reviews 1998
A course in mathematical logic for mathematicians
by
I︠U︡. I Manin(
)
11 editions published between 2009 and 2010 in English and held by 481 WorldCat member libraries worldwide
"A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Godel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic." "The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses numbertheoretic connections. The text presents a complete proof of the theorem of DavisPutnamRobinsonMatiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated."BOOK JACKET
11 editions published between 2009 and 2010 in English and held by 481 WorldCat member libraries worldwide
"A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Godel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic." "The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses numbertheoretic connections. The text presents a complete proof of the theorem of DavisPutnamRobinsonMatiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated."BOOK JACKET
Number theory related to Fermat's last theorem : proceedings of the conference sponsored by the Vaughn Foundation
by Conference on Number Theory Related to Fermat's Last Theorem(
Book
)
14 editions published in 1982 in English and Undetermined and held by 398 WorldCat member libraries worldwide
14 editions published in 1982 in English and Undetermined and held by 398 WorldCat member libraries worldwide
Advances in cryptology, CRYPTO '96 : 16th annual international cryptology conference, Santa Barbara, California, USA, August 1822, 1996 : proceedings
by
Neal Koblitz(
Book
)
23 editions published between 1996 and 2001 in English and held by 381 WorldCat member libraries worldwide
"This book constitutes the refereed proceedings of the 16th Annual International Cryptology Conference, CRYPTO '96, held in Santa Barbara, California, USA, in August 1996 under the sponsorship of the International Association for Cryptologic Research (IACR). The 30 revised full papers presented in the volume were selected from a total of 130 submissions; they are organized in topical sections on hashing and authentication, new systems, cryptoanalysis, hard bits, signatures, zero knowledge, symmetric systems, DiffieHellman oracle, quantum cryptography, stream ciphers, and secret sharing. All in all, this book is a current report on the stateoftheart in the field."PUBLISHER'S WEBSITE
23 editions published between 1996 and 2001 in English and held by 381 WorldCat member libraries worldwide
"This book constitutes the refereed proceedings of the 16th Annual International Cryptology Conference, CRYPTO '96, held in Santa Barbara, California, USA, in August 1996 under the sponsorship of the International Association for Cryptologic Research (IACR). The 30 revised full papers presented in the volume were selected from a total of 130 submissions; they are organized in topical sections on hashing and authentication, new systems, cryptoanalysis, hard bits, signatures, zero knowledge, symmetric systems, DiffieHellman oracle, quantum cryptography, stream ciphers, and secret sharing. All in all, this book is a current report on the stateoftheart in the field."PUBLISHER'S WEBSITE
Transcendental numbers
by
A. B Shidlovskiĭ(
)
7 editions published in 1989 in English and held by 237 WorldCat member libraries worldwide
7 editions published in 1989 in English and held by 237 WorldCat member libraries worldwide
Random curves journeys of a mathematician
by
Neal Koblitz(
)
13 editions published in 2008 in English and held by 72 WorldCat member libraries worldwide
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 twoculture 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
13 editions published in 2008 in English and held by 72 WorldCat member libraries worldwide
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 twoculture 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
Towards a quartercentury of public key cryptography
(
Book
)
4 editions published between 2000 and 2011 in English and held by 57 WorldCat member libraries worldwide
4 editions published between 2000 and 2011 in English and held by 57 WorldCat member libraries worldwide
Spectral theory and analytic geometry over nonArchimedean fields
by
Vladimir G Berkovich(
Book
)
3 editions published in 1990 in English and held by 43 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 43 WorldCat member libraries worldwide
Gauge field theory and complex geometry
by
I︠U︡. I Manin(
Book
)
5 editions published between 1997 and 2010 in English and held by 31 WorldCat member libraries worldwide
From the reviews: " ... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics)"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov
5 editions published between 1997 and 2010 in English and held by 31 WorldCat member libraries worldwide
From the reviews: " ... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics)"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov
A course in mathematical logic
by
I︠U︡. I Manin(
Book
)
4 editions published in 1977 in English and Undetermined and held by 29 WorldCat member libraries worldwide
This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a subclass of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities
4 editions published in 1977 in English and Undetermined and held by 29 WorldCat member libraries worldwide
This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a subclass of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities
Mathematics and physics
by
I︠U︡. I Manin(
Book
)
3 editions published between 1981 and 1983 in English and held by 25 WorldCat member libraries worldwide
3 editions published between 1981 and 1983 in English and held by 25 WorldCat member libraries worldwide
Mathematics under hardship conditions in the Third World
by
Neal Koblitz(
Visual
)
2 editions published between 1991 and 1992 in English and held by 18 WorldCat member libraries worldwide
Koblitz examines such questions as why mathematics research flourishes in Vietnam, while other countries contend with "brain drain" to the U.S. and Europe. He relates stories of problems that are faced and people that are resourceful. He suggests specific actions that can be taken to help keep mathematics alive and growing the the Third World
2 editions published between 1991 and 1992 in English and held by 18 WorldCat member libraries worldwide
Koblitz examines such questions as why mathematics research flourishes in Vietnam, while other countries contend with "brain drain" to the U.S. and Europe. He relates stories of problems that are faced and people that are resourceful. He suggests specific actions that can be taken to help keep mathematics alive and growing the the Third World
Towards a QuarterCentury of Public Key Cryptography A Special Issue of DESIGNS, CODES AND CRYPTOGRAPHY An International Journal. Volume 19, No. 2/3 (2000)
by
Neal Koblitz(
)
1 edition published in 2000 in English and held by 17 WorldCat member libraries worldwide
Towards a QuarterCentury of Public Key Cryptography brings together in one place important contributions and uptodate research results in this fast moving area. Towards a QuarterCentury of Public Key Cryptography serves as an excellent reference, providing insight into some of the most challenging research issues in the field
1 edition published in 2000 in English and held by 17 WorldCat member libraries worldwide
Towards a QuarterCentury of Public Key Cryptography brings together in one place important contributions and uptodate research results in this fast moving area. Towards a QuarterCentury of Public Key Cryptography serves as an excellent reference, providing insight into some of the most challenging research issues in the field
Advances in cryptology 16th Annual International Cryptology Conference, Santa Barbara, California, USA, August 1822, 1996 ; proceedings
(
)
1 edition published in 1996 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 14 WorldCat member libraries worldwide
Elliptic curve public key cryptosystems
by
A. J Menezes(
Book
)
6 editions published between 1993 and 2002 in English and Undetermined and held by 12 WorldCat member libraries worldwide
Elliptic curves have been intensively studied in algebraic geometry and number theory. In recent years they have been used in devising efficient algorithms for factoring integers and primality proving, and in the construction of public key cryptosystems. Elliptic Curve Public Key Cryptosystems provides an uptodate and selfcontained treatment of elliptic curvebased public key cryptology. Elliptic curve cryptosystems potentially provide equivalent security to the existing public key schemes, but with shorter key lengths. Having short key lengths means smaller bandwidth and memory requirements and can be a crucial factor in some applications, for example the design of smart card systems. The book examines various issues which arise in the secure and efficient implementation of elliptic curve systems. Elliptic Curve Public Key Cryptosystems is a valuable reference resource for researchers in academia, government and industry who are concerned with issues of data security. Because of the comprehensive treatment, the book is also suitable for use as a text for advanced courses on the subject
6 editions published between 1993 and 2002 in English and Undetermined and held by 12 WorldCat member libraries worldwide
Elliptic curves have been intensively studied in algebraic geometry and number theory. In recent years they have been used in devising efficient algorithms for factoring integers and primality proving, and in the construction of public key cryptosystems. Elliptic Curve Public Key Cryptosystems provides an uptodate and selfcontained treatment of elliptic curvebased public key cryptology. Elliptic curve cryptosystems potentially provide equivalent security to the existing public key schemes, but with shorter key lengths. Having short key lengths means smaller bandwidth and memory requirements and can be a crucial factor in some applications, for example the design of smart card systems. The book examines various issues which arise in the secure and efficient implementation of elliptic curve systems. Elliptic Curve Public Key Cryptosystems is a valuable reference resource for researchers in academia, government and industry who are concerned with issues of data security. Because of the comprehensive treatment, the book is also suitable for use as a text for advanced courses on the subject
The Riemann zetafunction
by
Anatoliĭ Alekseevich Karat︠s︡uba(
)
4 editions published between 1992 and 2011 in English and held by 11 WorldCat member libraries worldwide
The Riemann ZetaFunction (De Gruyter Expositions in Mathematics)
4 editions published between 1992 and 2011 in English and held by 11 WorldCat member libraries worldwide
The Riemann ZetaFunction (De Gruyter Expositions in Mathematics)
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Related Identities
 Manin, I︠U︡. I. Author
 Zilber, Boris Other
 Vaughn Foundation Other
 International Association for Cryptologic Research
 University of California, Santa Barbara Computer Science Department
 IEEE Computer Society Technical Committee on Security and Privacy
 Shidlovskiĭ, A. B. Author
 Menezes, Alfred J. Author
 CRYPTO 1996 Santa Barbara, Calif
 Berkovich, Vladimir G. Author
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