Download Full eBooks in PDF
Algorithmic Number Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Algorithmic Number Theory book. This book definitely worth reading, it is an incredibly well-written.
Author : Eric Bach,Jeffrey Outlaw Shallit
Publisher : MIT Press
Page : 536 pages
File Size : 47,9 Mb
Release : 1996
Category : Computers
ISBN : 0262024055
Volume 1.
Author : Henri Cohen
Publisher : Springer Science & Business Media
Page : 556 pages
File Size : 41,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662029459
A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.
Author : Claus Fieker,David R. Kohel
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 41,7 Mb
Release : 2002-06-26
Category : Computers
ISBN : 9783540438632
Self-organized criticality (SOC) has become a magic word in various scientific disciplines; it provides a framework for understanding complexity and scale invariance in systems showing irregular fluctuations. In the first 10 years after Per Bak and his co-workers presented their seminal idea, more than 2000 papers on this topic appeared. Seismology has been a field in earth sciences where the SOC concept has already deepened the understanding, but there seem to be much more examples in earth sciences where applying the SOC concept may be fruitful. After introducing the reader into the basics of fractals, chaos and SOC, the book presents established and new applications of SOC in earth sciences, namely earthquakes, forest fires, landslides and drainage networks.
Author : M. Pohst,H. Zassenhaus
Publisher : Cambridge University Press
Page : 520 pages
File Size : 49,7 Mb
Release : 1997-09-25
Category : Mathematics
ISBN : 0521596696
Now in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. For experimental number theoreticians new methods are developed and new results are obtained which are of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.
Author : Joe P. Buhler
Publisher : Springer Science & Business Media
Page : 660 pages
File Size : 54,7 Mb
Release : 1998-06-05
Category : Computers
ISBN : 3540646574
The field of diagnostic nuclear medicine has changed significantly during the past decade. This volume is designed to present the student and the professional with a comprehensive update of recent developments not found in other textbooks on the subject. The various clinical applications of nuclear medicine techniques are extensively considered, and due attention is given also to radiopharmaceuticals, equipment and instrumentation, reconstruction techniques and the principles of gene imaging.
Author : Abhijit Das
Publisher : CRC Press
Page : 614 pages
File Size : 49,7 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781482205824
Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and pract
Author : Song Y. Yan
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 51,8 Mb
Release : 2013-11-11
Category : Computers
ISBN : 9783662047736
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 : Henri Cohen
Publisher : Springer Science & Business Media
Page : 591 pages
File Size : 47,9 Mb
Release : 2012-10-29
Category : Mathematics
ISBN : 9781441984890
Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory. The subsequent chapters deal with more miscellaneous subjects.
Author : Song Y. Yan
Publisher : Springer
Page : 252 pages
File Size : 48,6 Mb
Release : 2015-12-26
Category : Computers
ISBN : 9783319258232
This book provides a comprehensive introduction to advanced topics in the computational and algorithmic aspects of number theory, focusing on applications in cryptography. Readers will learn to develop fast algorithms, including quantum algorithms, to solve various classic and modern number theoretic problems. Key problems include prime number generation, primality testing, integer factorization, discrete logarithms, elliptic curve arithmetic, conjecture and numerical verification. The author discusses quantum algorithms for solving the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP), and the Elliptic Curve Discrete Logarithm Problem (ECDLP) and for attacking IFP, DLP and ECDLP based cryptographic systems. Chapters also cover various other quantum algorithms for Pell's equation, principal ideal, unit group, class group, Gauss sums, prime counting function, Riemann's hypothesis and the BSD conjecture. Quantum Computational Number Theory is self-contained and intended to be used either as a graduate text in computing, communications and mathematics, or as a basic reference in the related fields. Number theorists, cryptographers and professionals working in quantum computing, cryptography and network security will find this book a valuable asset.
Author : Harold M. Edwards
Publisher : American Mathematical Soc.
Page : 228 pages
File Size : 46,9 Mb
Release : 2008
Category : Mathematics
ISBN : 0821844393
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 : Victor Shoup
Publisher : Cambridge University Press
Page : 544 pages
File Size : 51,6 Mb
Release : 2005-04-28
Category : Computers
ISBN : 0521851548
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes.
Author : J. P. Buhler,P. Stevenhagen
Publisher : Cambridge University Press
Page : 653 pages
File Size : 43,5 Mb
Release : 2008-10-20
Category : Computers
ISBN : 9780521808545
An introduction to number theory for beginning graduate students with articles by the leading experts in the field.
Author : Laszlo Lovasz
Publisher : SIAM
Page : 95 pages
File Size : 49,7 Mb
Release : 1987-01-01
Category : Mathematics
ISBN : 9780898712032
Studies two algorithms in detail: the ellipsoid method and the simultaneous diophantine approximation method.
Author : Wieb Bosma,Alf van der Poorten
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 46,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401711081
Computers have stretched the limits of what is possible in mathematics. More: they have given rise to new fields of mathematical study; the analysis of new and traditional algorithms, the creation of new paradigms for implementing computational methods, the viewing of old techniques from a concrete algorithmic vantage point, to name but a few. Computational Algebra and Number Theory lies at the lively intersection of computer science and mathematics. It highlights the surprising width and depth of the field through examples drawn from current activity, ranging from category theory, graph theory and combinatorics, to more classical computational areas, such as group theory and number theory. Many of the papers in the book provide a survey of their topic, as well as a description of present research. Throughout the variety of mathematical and computational fields represented, the emphasis is placed on the common principles and the methods employed. Audience: Students, experts, and those performing current research in any of the topics mentioned above.
Author : David Harel,Dexter Kozen,Jerzy Tiuryn
Publisher : MIT Press
Page : 492 pages
File Size : 50,6 Mb
Release : 2000-09-29
Category : Computers
ISBN : 0262263025
This book provides the first comprehensive introduction to Dynamic Logic. Among the many approaches to formal reasoning about programs, Dynamic Logic enjoys the singular advantage of being strongly related to classical logic. Its variants constitute natural generalizations and extensions of classical formalisms. For example, Propositional Dynamic Logic (PDL) can be described as a blend of three complementary classical ingredients: propositional calculus, modal logic, and the algebra of regular events. In First-Order Dynamic Logic (DL), the propositional calculus is replaced by classical first-order predicate calculus. Dynamic Logic is a system of remarkable unity that is theoretically rich as well as of practical value. It can be used for formalizing correctness specifications and proving rigorously that those specifications are met by a particular program. Other uses include determining the equivalence of programs, comparing the expressive power of various programming constructs, and synthesizing programs from specifications. This book provides the first comprehensive introduction to Dynamic Logic. It is divided into three parts. The first part reviews the appropriate fundamental concepts of logic and computability theory and can stand alone as an introduction to these topics. The second part discusses PDL and its variants, and the third part discusses DL and its variants. Examples are provided throughout, and exercises and a short historical section are included at the end of each chapter.