WorldCat Identities

Koblitz, Neal 1948-

Overview
Works: 65 works in 406 publications in 5 languages and 8,962 library holdings
Genres: Conference papers and proceedings  Biography  History  Textbooks 
Roles: Author, Translator, Editor, Other, Thesis advisor, Creator, htt
Classifications: QA241, 512.7
Publication Timeline
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Most widely held works about Neal Koblitz
 
Most widely held works by Neal Koblitz
A course in number theory and cryptography by Neal Koblitz( Book )

62 editions published between 1987 and 2013 in 4 languages and held by 1,564 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 fast-moving fields, this new edition contains substantial revisions and updated references
Introduction to elliptic curves and modular forms by Neal I Koblitz( Book )

46 editions published between 1984 and 2012 in 4 languages and held by 1,187 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 Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. 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."--Page 4 de la couverture
P-adic analysis : a short course on recent work by Neal Koblitz( )

7 editions published in 1980 in English and Undetermined and held by 1,179 WorldCat member libraries worldwide

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
P-adic numbers, p-adic analysis, and zeta-functions by Neal Koblitz( Book )

50 editions published between 1977 and 2014 in 4 languages and held by 1,070 WorldCat member libraries worldwide

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)
Algebraic aspects of cryptography by Neal Koblitz( Book )

36 editions published between 1997 and 2004 in English and held by 821 WorldCat member libraries worldwide

This is a textbook for a course (or self-instruction) in cryptography with emphasis on algebraic methods. The first half of the book is a self-contained 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, combinatorial-algebraic 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 Jurij Ivanovič Manin( )

14 editions published between 2009 and 2010 in English and held by 538 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 number-theoretic connections. The text presents a complete proof of the theorem of Davis-Putnam-Robinson-Matiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated."--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 )

21 editions published in 1982 in English and held by 449 WorldCat member libraries worldwide

Advances in cryptology, CRYPTO '96 : 16th annual international cryptology conference, Santa Barbara, California, USA, August 18-22, 1996 : proceedings by Neal Koblitz( Book )

24 editions published between 1996 and 2001 in English and Undetermined and held by 348 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, Diffie-Hellman oracle, quantum cryptography, stream ciphers, and secret sharing. All in all, this book is a current report on the state-of-the-art in the field."--PUBLISHER'S WEBSITE
Transcendental numbers by A. B ShidlovskiĬ( )

9 editions published between 1989 and 2011 in English and held by 106 WorldCat member libraries worldwide

Random curves : journeys of a mathematician by Neal Koblitz( )

18 editions published between 2008 and 2014 in English and held by 88 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 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
Advances in cryptology - CRYPTO '96 : 16th Annual International Cryptology Conference, Santa Barbara, California, USA, August 18 - 22, 1996 ; proceedings by Neal Koblitz( )

2 editions published in 1996 in English and held by 74 WorldCat member libraries worldwide

Spectral theory and analytic geometry over non-Archimedean fields by Vladimir G Berkovich( )

3 editions published in 1990 in English and held by 73 WorldCat member libraries worldwide

P-adic analysis : a short course on recent work by Neal Koblitz( Book )

12 editions published between 1980 and 2004 in English and held by 66 WorldCat member libraries worldwide

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
Single variable calculus : early transcendentals by David Guichard( )

in English and held by 61 WorldCat member libraries worldwide

"An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available."--Open Textbook Library
Towards a quarter-century of public key cryptography( Book )

6 editions published between 2000 and 2011 in English and held by 58 WorldCat member libraries worldwide

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) by Neal Koblitz( )

1 edition published in 2000 in English and held by 55 WorldCat member libraries worldwide

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
Gauge field theory and complex geometry by Jurij I Manin( Book )

7 editions published between 1997 and 2010 in English and held by 50 WorldCat member libraries worldwide

Introduction. Geometrical Stuctures in Field Theory -- 1. Grassmannians, Connections, and Integrability -- 2. The Radon-Penrose Transform -- 3. Introduction to Superalgebra -- 4. Introduction to Supergeometry -- 5. Geometric Structures of Supersymmetry and Gravitation -- Recent Developments
Advances in Cryptology - CRYPTO '96: 16th Annual International Cryptology Conference, Santa Barbara, California, August 18-22, 1996, Proceedings by Neal Koblitz( )

1 edition published in 1996 in English and held by 46 WorldCat member libraries worldwide

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
A course in mathematical logic by Jurij Ivanovič Manin( Book )

4 editions published in 1977 in English and Undetermined and held by 44 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 sub-class 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 Jurij I Manin( Book )

5 editions published between 1981 and 1983 in English and held by 40 WorldCat member libraries worldwide

 
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Algebraic aspects of cryptography
Covers
Introduction to elliptic curves and modular formsP-adic analysis : a short course on recent workP-adic numbers, p-adic analysis, and zeta-functionsAlgebraic aspects of cryptographyA course in mathematical logic for mathematiciansRandom curves : journeys of a mathematicianP-adic analysis : a short course on recent workTowards a quarter-century of public key cryptography
Alternative Names
Koblic, N.

Koblic, N. 1948-

Koblic, Nil 1948-

Koblit︠s︡, N. 1948-

Koblits, Neal.

Koblits Neal 1948-....

Koblitz, N.

Koblitz, N. 1948-

Koblitz, Neal

Koblitz, Neal I.

Koblitz, Neil 1948-

Neal Koblitz americký matematik a kryptograf

Neal Koblitz Amerikaans wiskundige

Neal Koblitz Mathematician, cryptographer

Neal Koblitz mathématicien américain

Neal Koblitz US-amerikanischer Mathematiker

Коблиц Нил

Нил Коблиц

コブリッツ, N.

コブリッツ, ニール

ニール・コブリッツ

尼尔·科布利茨

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