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Number Theory and Applications
ISBN: 9789048140411 / Angielski / Miękka / 616 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Proceedings of the NATO Advanced Study Institute, Banff Centre, Canada, April 27-May 5, 1988
Proceedings of the NATO Advanced Study Institute, Banff Centre, Canada, April 27-May 5, 1988
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cena:
2008,08 |
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Exponential Sums and Their Applications
ISBN: 9789048141371 / Angielski / Miękka / 210 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with the help of examples which show how exponential sums arise and how they are applied in problems of number theory and its applications.
The material is divided into three chapters which embrace the classical results of Gauss, and the methods of Weyl, Mordell and Vinogradov; the traditional applications of exponential sums to the distribution of fractional parts, the... The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. Th...
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cena:
923,70 |
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Real Numbers, Generalizations of the Reals, and Theories of Continua
ISBN: 9789048143627 / Angielski / Miękka / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy. On the other hand, this period also witnessed the emergence of a variety of alternative theories of real numbers and corresponding theories of continua, as well as non-Archimedean geometry, non-standard analysis, and a number of important generalizations of the system of real numbers, some of which have been described as arithmetic continua of one type or another.
With the exception of E.W. Hobson's... Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars o...
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cena:
602,40 |
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Congruences for L-Functions
ISBN: 9789048154906 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at certain special values. There is no other book on the market which deals with this subject. The book presents in a unified way congruences found by many authors over the years, from the classical ones of Gauss and Dirichlet to the recent ones of Gras, Vehara, and others. Audience: This book is aimed at graduate students and researchers interested in (analytic) number theory, functions of a complex...
This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-...
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cena:
200,77 |
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Series Associated with the Zeta and Related Functions
ISBN: 9789048157280 / Angielski / Miękka / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years there has been an increasing interest in problems involving closed form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as) various families of series associated with the Riemann Zeta function ((s), the Hurwitz Zeta function ((s, a), and their such extensions and generalizations as (for example) Lerch's transcendent (or the Hurwitz-Lerch Zeta function) iI>(z, s, a). Some of these developments have apparently stemmed from an over two-century-old theorem of Christian Goldbach (1690-1764), which was stated in a letter dated 1729 from...
In recent years there has been an increasing interest in problems involving closed form evaluations of (and representations of the Riemann Zeta functi...
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cena:
321,26 |
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The Lerch Zeta-Function
ISBN: 9789048161683 / Angielski / Miękka / 189 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the first book containing both analytic and probability theory of Lerch zeta-functions. The book starts with classical analytical theory (Euler gamma-functions, functional equation, mean square). The majority of the presented results are new: on approximate functional equations and its applications and on zero distribution... The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-f... |
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200,77 |
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Applications of Fibonacci Numbers: Volume 9: Proceedings of the Tenth International Research Conference on Fibonacci Numbers and Their Applications
ISBN: 9789048165452 / Angielski / Miękka / 311 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents the Proceedings of the Tenth International Conference on Fibonacci Numbers and their Applications, held in June 2002 in Flagstaff, Arizona. It contains research papers on the Fibonacci Numbers and their generalizations. All papers were carefully refereed for content and originality. The authors represent eight different countries. This volume will be of interest to graduate students and research mathematicians, whose work involves number theory, combinatorics, algebraic number theory, finite geometry and special functions.
This volume presents the Proceedings of the Tenth International Conference on Fibonacci Numbers and their Applications, held in June 2002 in Flagst... |
cena:
401,58 |
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Graph Partitioning
ISBN: 9781848212336 / Angielski / Twarda / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Graph partitioning is a theoretical subject with applications in many areas, principally: numerical analysis, programs mapping onto parallel architectures, image segmentation, VLSI design. During the last 40 years, the literature has strongly increased and big improvements have been made.
This book brings together the knowledge accumulated during many years to extract both theoretical foundations of graph partitioning and its main applications. Graph partitioning is a theoretical subject with applications in many areas, principally: numerical analysis, programs mapping onto parallel architect...
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cena:
672,22 |
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The Atiyah-Patodi-Singer Index Theorem
ISBN: 9781568810027 / Angielski / Twarda / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies.
Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undo...
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cena:
628,93 |
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A Course in P-Adic Analysis
ISBN: 9781441931504 / Angielski / Miękka / 438 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now well-established in the mathematical world and used more and more by physicists as well. This book offers a self-contained presentation of basic p-adic analysis. The author is especially interested in the analytical topics in this field. Some of the features which are not treated in other introductory p-adic analysis texts are topological models of p-adic spaces inside Euclidean space, a construction of spherically complete fields, a p-adic mean...
Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now well...
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cena:
240,93 |
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A Course in Computational Algebraic Number Theory
ISBN: 9783642081422 / Angielski / Miękka / 536 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. With the advent of powerful computing tools and numerous advances in math- ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful al- gorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of appli- cations, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator...
With the advent of powerful computing tools and numerous advances in math- ematics, computer science and cryptography, algorithmic number theory has b...
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cena:
228,89 |
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Algebraic Aspects of Cryptography
ISBN: 9783642083327 / Angielski / Miękka / 206 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or advanced undergraduate students, as well as to scientists in other fields. The first three chapters form a self-contained introduction to basic concepts and techniques. Here my approach is intuitive and informal. For example, the treatment of computational complexity in Chapter 2, while lacking formalistic rigor, emphasizes the aspects of the subject that are most important in cryptography. Chapters 4-6 and the Appendix contain material that for...
This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or a...
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cena:
722,88 |
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Algebraic Number Theory
ISBN: 9783642084737 / Angielski / Miękka / 574 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the review: "The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner... The author discusses the classical concepts from the viewpoint of Arakelov theory.... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further...
From the review: "The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction ...
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cena:
602,40 |
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The Mathematics of Ciphers: Number Theory and RSA Cryptography
ISBN: 9781568810829 / Angielski / Twarda / 198 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A revised and updated translation of a work originally published in Portuguese in 1997. It introduces the algorithmic aspects of number theory and its applications to the study of codes, and of code-breaking. The work ends with study of the Rivest, Shamir, and Aldeman (RSA) public key cryptosystem,
A revised and updated translation of a work originally published in Portuguese in 1997. It introduces the algorithmic aspects of number theory and its...
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cena:
870,82 |
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Introduction to Analytic Number Theory
ISBN: 9781441928054 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."---MATHEMATICAL REVIEWS "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at t... |
cena:
240,93 |
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Lectures on the Theory of Algebraic Numbers
ISBN: 9781441928146 / Angielski / Miękka / 242 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. . . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L- series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. " We have...
. . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and...
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cena:
281,10 |
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From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical Development
ISBN: 9781441928214 / Angielski / Miękka / 186 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Munster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics...
This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Munster (West Germany). The ...
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cena:
200,77 |
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Additive Number Theory the Classical Bases
ISBN: 9781441928481 / Angielski / Miękka / 342 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Hilbert's] style has not the terseness of many of our modem authors in mathematics, which is based on the assumption that printer's labor and paper are costly but the reader's effort and time are not. H. Weyl 143] The purpose of this book is to describe the classical problems in additive number theory and to introduce the circle method and the sieve method, which are the basic analytical and combinatorial tools used to attack these problems. This book is intended for students who want to lel?Ill additive number theory, not for experts who already know it. For this reason, proofs include...
Hilbert's] style has not the terseness of many of our modem authors in mathematics, which is based on the assumption that printer's labor and paper a...
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cena:
361,42 |
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Classical Theory of Algebraic Numbers
ISBN: 9781441928702 / Angielski / Miękka / 682 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields. Part one is devoted to residue classes and quadratic residues. In part two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, inertia and ramification of ideals. part three is devoted to Kummers theory of cyclotomic fields, and includes...
This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked...
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cena:
321,26 |
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An Introduction to Mathematical Cryptography
ISBN: 9781441926746 / Angielski / Miękka / 524 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. ThecreationofpublickeycryptographybyDi?eandHellmanin1976andthe subsequent invention of the RSA public key cryptosystem by Rivest, Shamir, and Adleman in 1978 are watershed events in the long history of secret c- munications. It is hard to overestimate the importance of public key cr- tosystems and their associated digital signature schemes in the modern world of computers and the Internet. This book provides an introduction to the theory of public key cryptography and to the mathematical ideas underlying that theory. Public key cryptography draws on many areas of mathematics, including number...
ThecreationofpublickeycryptographybyDi?eandHellmanin1976andthe subsequent invention of the RSA public key cryptosystem by Rivest, Shamir, and Adleman ...
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cena:
200,77 |
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