A Course In Number Theory And Cryptography

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A Course in Number Theory and Cryptography

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Author by : Neal Koblitz
Languange Used : English, France, Spanish, Italia and chinese
Page : 208
Isbn : 1468403109
Identifier : 9781468403107
Release : 2012-12-06
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now A Course In Number Theory And Cryptography by Neal Koblitz and you can download with pub, pdf, txt, doc, and more file format with free account. 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. because number theory and cryptography are fast-moving fields, this new edition contains substantial revisions and updated references.

A Course in Number Theory and Cryptography

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Author by : Neal Koblitz
Languange Used : English, France, Spanish, Italia and chinese
Page : 235
Isbn : 1441985921
Identifier : 9781441985927
Release : 2012-09-05
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now A Course In Number Theory And Cryptography by Neal Koblitz and you can download with pub, pdf, txt, doc, and more file format with free account. this is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. as such, 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, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. extensive exercises and careful answers are an integral part all of the chapters.

A Course in Number Theory and Cryptography

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Author by : Neal Koblitz
Languange Used : English, France, Spanish, Italia and chinese
Page : 235
Isbn : 9780387942933
Identifier : 0387942939
Release : 1994-09-02
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now A Course In Number Theory And Cryptography by Neal Koblitz and you can download with pub, pdf, txt, doc, and more file format with free account. this is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. as such, 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, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. extensive exercises and careful answers are an integral part all of the chapters.

Elliptic Curves Number Theory and Cryptography, Second Edition

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Author by : Lawrence C. Washington
Languange Used : English, France, Spanish, Italia and chinese
Page : 536
Isbn : 9781420071474
Identifier : 1420071475
Release : 2008-04-03
Publisher by : CRC Press
Category : Mathematics
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Description : Read Now Elliptic Curves by Lawrence C. Washington and you can download with pub, pdf, txt, doc, and more file format with free account. like its bestselling predecessor, elliptic curves: number theory and cryptography, second edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. with additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and applications of elliptic curves. new to the second edition chapters on isogenies and hyperelliptic curves a discussion of alternative coordinate systems, such as projective, jacobian, and edwards coordinates, along with related computational issues a more complete treatment of the weil and tate–lichtenbaum pairings doud’s analytic method for computing torsion on elliptic curves over q an explanation of how to perform calculations with elliptic curves in several popular computer algebra systems taking a basic approach to elliptic curves, this accessible book prepares readers to tackle more advanced problems in the field. it introduces elliptic curves over finite fields early in the text, before moving on to interesting applications, such as cryptography, factoring, and primality testing. the book also discusses the use of elliptic curves in fermat’s last theorem. relevant abstract algebra material on group theory and fields can be found in the appendices.

A Course in Number Theory

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Author by : H. E. Rose
Languange Used : English, France, Spanish, Italia and chinese
Page : 398
Isbn : 9780198523765
Identifier : 0198523769
Release : 1995
Publisher by : Oxford University Press
Category : Mathematics
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Description : Read Now A Course In Number Theory by H. E. Rose and you can download with pub, pdf, txt, doc, and more file format with free account. the second edition of this undergraduate textbook is now available in paperback. covering up-to-date as well as established material, it is the only textbook which deals with all the main areas of number theory, taught in the third year of a mathematics course. each chapter ends with acollection of problems, and hints and sketch solutions are provided at the end of the book, together with useful tables.

A Course in Computational Algebraic Number Theory

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Author by : Henri Cohen
Languange Used : English, France, Spanish, Italia and chinese
Page : 536
Isbn : 3662029456
Identifier : 9783662029459
Release : 2013-04-17
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now A Course In Computational Algebraic Number Theory by Henri Cohen and you can download with pub, pdf, txt, doc, and more file format with free account. 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.

Algebraic Aspects of Cryptography

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Author by : Neal Koblitz
Languange Used : English, France, Spanish, Italia and chinese
Page : 206
Isbn : 9783540634461
Identifier : 3540634460
Release : 2004-05-07
Publisher by : Springer Science & Business Media
Category : Computers
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Description : Read Now Algebraic Aspects Of Cryptography by Neal Koblitz and you can download with pub, pdf, txt, doc, and more file format with free account. 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." mathematical reviews

Number Theory and Cryptography Papers in Honor of Johannes Buchmann on the Occasion of His 60th Birthday

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Author by : Marc Fischlin
Languange Used : English, France, Spanish, Italia and chinese
Page : 281
Isbn : 364242001X
Identifier : 9783642420016
Release : 2013-11-21
Publisher by : Springer
Category : Computers
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Description : Read Now Number Theory And Cryptography by Marc Fischlin and you can download with pub, pdf, txt, doc, and more file format with free account. johannes buchmann is internationally recognized as one of the leading figures in areas of computational number theory, cryptography and information security. he has published numerous scientific papers and books spanning a very wide spectrum of interests; besides r&d he also fulfilled lots of administrative tasks for instance building up and directing his research group cdc at darmstadt, but he also served as the dean of the department of computer science at tu darmstadt and then went on to become vice president of the university for six years (2001-2007). this festschrift, published in honor of johannes buchmann on the occasion of his 60th birthday, contains contributions by some of his colleagues, former students and friends. the papers give an overview of johannes buchmann's research interests, ranging from computational number theory and the hardness of cryptographic assumptions to more application-oriented topics such as privacy and hardware security. with this book we celebrate johannes buchmann's vision and achievements.

An Introduction to Number Theory with Cryptography

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Author by : James R. Kraft
Languange Used : English, France, Spanish, Italia and chinese
Page : 578
Isbn : 9781138063471
Identifier : 1138063479
Release : 2018
Publisher by : Chapman & Hall/CRC
Category : Cryptography
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Description : Read Now An Introduction To Number Theory With Cryptography by James R. Kraft and you can download with pub, pdf, txt, doc, and more file format with free account. building on the success of the first edition, an introduction to number theory with cryptography, second edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory. the authors have written the text in an engaging style to reflect number theory's increasing popularity. the book is designed to be used by sophomore, junior, and senior undergraduates, but it is also accessible to advanced high school students and is appropriate for independent study. it includes a few more advanced topics for students who wish to explore beyond the traditional curriculum.

An Experimental Introduction to Number Theory

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Author by : Benjamin Hutz
Languange Used : English, France, Spanish, Italia and chinese
Page : 376
Isbn : 1470430975
Identifier : 9781470430979
Release : 2018-04-17
Publisher by : American Mathematical Soc.
Category : Number theory
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Description : Read Now An Experimental Introduction To Number Theory by Benjamin Hutz and you can download with pub, pdf, txt, doc, and more file format with free account. this book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. it seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test precise conjectures from experimental data. each topic is motivated by a question to be answered, followed by some experimental data, and, finally, the statement and proof of a theorem. there are numerous opportunities throughout the chapters and exercises for the students to engage in (guided) open-ended exploration. at the end of a course using this book, the students will understand how mathematics is developed from asking questions to gathering data to formulating and proving theorems. the mathematical prerequisites for this book are few. early chapters contain topics such as integer divisibility, modular arithmetic, and applications to cryptography, while later chapters contain more specialized topics, such as diophantine approximation, number theory of dynamical systems, and number theory with polynomials. students of all levels will be drawn in by the patterns and relationships of number theory uncovered through data driven exploration.

Computational Number Theory

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Author by : Abhijit Das
Languange Used : English, France, Spanish, Italia and chinese
Page : 614
Isbn : 1482205823
Identifier : 9781482205824
Release : 2016-04-19
Publisher by : CRC Press
Category : Computers
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Description : Read Now Computational Number Theory by Abhijit Das and you can download with pub, pdf, txt, doc, and more file format with free account. 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 practitioners of cryptography in industry. requiring no prior experience with number theory or sophisticated algebraic tools, the book covers many computational aspects of number theory and highlights important and interesting engineering applications. it first builds the foundation of computational number theory by covering the arithmetic of integers and polynomials at a very basic level. it then discusses elliptic curves, primality testing, algorithms for integer factorization, computing discrete logarithms, and methods for sparse linear systems. the text also shows how number-theoretic tools are used in cryptography and cryptanalysis. a dedicated chapter on the application of number theory in public-key cryptography incorporates recent developments in pairing-based cryptography. with an emphasis on implementation issues, the book uses the freely available number-theory calculator gp/pari to demonstrate complex arithmetic computations. the text includes numerous examples and exercises throughout and omits lengthy proofs, making the material accessible to students and practitioners.

An Introduction to Number Theory with Cryptography

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Author by : James S. Kraft
Languange Used : English, France, Spanish, Italia and chinese
Page : 572
Isbn : 1482214423
Identifier : 9781482214420
Release : 2016-04-19
Publisher by : CRC Press
Category : Mathematics
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Description : Read Now An Introduction To Number Theory With Cryptography by James S. Kraft and you can download with pub, pdf, txt, doc, and more file format with free account. number theory has a rich history. for many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. more recently, it has been an area that also has important applications to subjects such as cryptography. an introduction to number theory with cryptography presents number theory along with many interesting applications. designed for an undergraduate-level course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage. the "check your understanding" problems aid in learning the basics, and there are numerous exercises, projects, and computer explorations of varying levels of difficulty.