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Finite Precision Number Systems And Arithmetic

Author: Peter Kornerup
Publisher: Cambridge University Press
ISBN: 0521761352
Size: 47.28 MB
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This comprehensive reference volume, suitable for graduate teaching, includes problems, exercises, solutions and an extensive bibliography.

Equivalents Of The Riemann Hypothesis Volume 1 Arithmetic Equivalents

Author: Kevin Broughan
Publisher: Cambridge University Press
ISBN: 1108195415
Size: 22.91 MB
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The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.

Equivalents Of The Riemann Hypothesis

Author: Kevin Broughan
Publisher: Cambridge University Press
ISBN: 110719704X
Size: 59.18 MB
Format: PDF, Kindle
View: 1006
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The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.

Advances In Cryptology Asiacrypt 2001

Author: Colin Boyd
Publisher: Springer Verlag
ISBN: 9783540429876
Size: 35.10 MB
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This book constitutes the refereed proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2001, held in Gold Coast, Australia in December 2001. The 33 revised full papers presented together with an invited paper were carefully reviewed and selected from 153 submissions. The papers are organized in topical sections on lattice based cryptography, human identification, practical public key cryptography, cryptography based on coding theory, block ciphers, provable security, threshold cryptography, two-party protocols, zero knowledge, cryptographic building blocks, elliptic curve cryptography, and anonymity.

Gamma

Author: Julian Havil
Publisher: Springer-Verlag
ISBN: 3540484965
Size: 25.46 MB
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Jeder kennt p = 3,14159..., viele kennen e = 2,71828..., einige i. Und dann? Die "viertwichtigste" Konstante ist die Eulersche Zahl g = 0,5772156... - benannt nach dem genialen Leonhard Euler (1707-1783). Bis heute ist unbekannt, ob g eine rationale Zahl ist. Das Buch lotet die "obskure" Konstante aus. Die Reise beginnt mit Logarithmen und der harmonischen Reihe. Es folgen Zeta-Funktionen und Eulers wunderbare Identität, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wörterbüchern, elende mathematische Würmer und Jeeps in der Wüste. Besser kann man nicht über Mathematik schreiben. Was Julian Havil dazu zu sagen hat, ist spektakulär.