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Cyclotomic Fields and Zeta Values
ISBN: 9783540330684 / Angielski / Twarda / 116 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest and most beautiful theorem known about them. It is also the simplest example of a vast array of subsequent, unproven "main conjectures'' in modern arithmetic geometry involving the arithmetic behaviour of motives over p-adic Lie extensions of number fields. These main conjectures are concerned with what one might loosely call the exact formulae of number theory which conjecturally link the special values of zeta and L-functions to purely... Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the d... |
cena:
342,95 |
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Analytic Number Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002
ISBN: 9783540363637 / Angielski / Miękka / 217 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The four papers collected in this book discuss advanced results in analytic number theory, including recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials; counting integer solutions to Diophantine equations, using results from algebraic geometry and the geometry of numbers; the theory of Siegel's zeros and of exceptional characters of L-functions; and an up-to-date survey of the axiomatic theory of L-functions introduced by Selberg. The four papers collected in this book discuss advanced results in analytic number theory, including recent achievements of sieve theory leading to... |
cena:
181,38 |
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Primality Testing in Polynomial Time: From Randomized Algorithms to "PRIMES Is in P"
ISBN: 9783540403449 / Angielski / Miękka / 150 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. On August 6, 2002, a paper with the title "PRIMES is in P," by M. Agrawal, N. Kayal, and N. Saxena, appeared on the website of the Indian Institute of Technology at Kanpur, India. In this paper it was shown that the "primality problem"hasa"deterministic algorithm" that runs in "polynomial time." Finding out whether a given number n is a prime or not is a problem that was formulated in ancient times, and has caught the interest of mathema- ciansagainandagainfor centuries. Onlyinthe 20thcentury, with theadvent of cryptographic systems that actually used large prime numbers, did it turn out to...
On August 6, 2002, a paper with the title "PRIMES is in P," by M. Agrawal, N. Kayal, and N. Saxena, appeared on the website of the Indian Institute of...
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cena:
201,72 |
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Introduction to Algebraic Independence Theory
ISBN: 9783540414964 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e DEGREES(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic...
In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic propertie...
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cena:
242,07 |
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Sieves in Number Theory
ISBN: 9783540416470 / Angielski / Twarda / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Slightly more than 25 years ago, the first text devoted entirely to sieve meth ods made its appearance, rapidly to become a standard source and reference in the subject. The book of H. Halberstam and H.-E. Richert had actually been conceived in the mid-1960's. The initial stimulus had been provided by the paper of W. B. Jurkat and Richert, which determined the sifting limit for the linear sieve, using a combination of the, A2 method of A. Selberg with combinatorial ideas which were in themselves of great importance and in terest. One of the declared objectives in writing their book was to...
Slightly more than 25 years ago, the first text devoted entirely to sieve meth ods made its appearance, rapidly to become a standard source and refere...
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cena:
605,23 |
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Galois Cohomology
ISBN: 9783540421924 / Angielski / Twarda / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is an English translation of "Cohomologie Galoisienne" . The original edition (Springer LN5, 1964) was based on the notes, written with the help of Michel Raynaud, of a course I gave at the College de France in 1962-1963. In the present edition there are numerous additions and one suppression: Verdier's text on the duality of profinite groups. The most important addition is the photographic reproduction of R. Steinberg's "Regular elements of semisimple algebraic groups," Publ. Math. LH.E.S., 1965. I am very grateful to him, and to LH.E.S., for having authorized this reproduction....
This volume is an English translation of "Cohomologie Galoisienne" . The original edition (Springer LN5, 1964) was based on the notes, written with th...
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cena:
282,42 |
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Number Theory
ISBN: 9783540427490 / Angielski / Miękka / 640 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: ..".a fine book ...] When it appeared in 1949 it was a pioneer. Now there are plenty of competing accounts. But Hasse has something extra to offer. ...] Hasse proved that miracles do happen in his five beautiful papers on quadratic forms of 1923-1924. ...]It is trite but true: Every number-theorist should have this book on his or her shelf." --Irving Kaplansky in Bulletin of the American Mathematical Society, 1981 From the reviews: ..".a fine book ...] When it appeared in 1949 it was a pioneer. Now there are plenty of competing accounts. But Hasse has someth... |
cena:
221,90 |
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Number Theory for Computing
ISBN: 9783540430728 / Angielski / Twarda / 435 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Modern cryptography depends heavily on number theory, with primality test ing, factoring, discrete logarithms (indices), and elliptic curves being perhaps the most prominent subject areas. Since my own graduate study had empha sized probability theory, statistics, and real analysis, when I started work ing in cryptography around 1970, I found myself swimming in an unknown, murky sea. I thus know from personal experience how inaccessible number theory can be to the uninitiated. Thank you for your efforts to case the transition for a new generation of cryptographers. Thank you also for helping...
Modern cryptography depends heavily on number theory, with primality test ing, factoring, discrete logarithms (indices), and elliptic curves being per...
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cena:
322,77 |
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Class Field Theory: From Theory to Practice
ISBN: 9783540441335 / Angielski / Twarda / 491 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the existence theorem. This book explores the consequences and the practical use of these results in detailed studies and illustrations of classical subjects. In the corrected second printing 2005, the author improves many details all through the book. Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the exist... |
cena:
564,88 |
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Ant Algorithms: Third International Workshop, Ants 2002, Brussels, Belgium, September 12-14, 2002. Proceedings
ISBN: 9783540441465 / Angielski / Miękka / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book constitutes the refereed proceedings of the Third International Workshop on Ant Algorithms, ANTS 2002, held in Brussels, Belgium in September 2002.
The 17 revised full papers, 11 short papers, and extended poster abstracts presented were carefully reviewed and selected from 52 submissions. The papers deal with theoretical and foundational aspects and a variety of new variants of ant algorithms as well as with a broad variety of optimization applications in networking and operations research. All in all, this book presents the state of the art in research and development in the... This book constitutes the refereed proceedings of the Third International Workshop on Ant Algorithms, ANTS 2002, held in Brussels, Belgium in Septembe...
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cena:
201,72 |
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From Number Theory to Physics
ISBN: 9783540533429 / Angielski / Twarda / 690 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to Theoreti cal Physics. The first part is mathematically oriented; it deals mostly with ellip tic curves, modular forms, zeta functions, Galois theory, Riemann surfaces, and p-adic analysis. The second part reports on matters with more direct physical interest, such as periodic and quasiperiodic lattices, or classical and quantum dynamical systems. The contribution of each author represents a short self-contained course on a specific subject. With...
The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to The...
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cena:
605,23 |
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Cohomologie Galoisienne
ISBN: 9783540580027 / Francuski / Miękka / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "This book surveys an elegant new subject which has developed out of the cohomological treatment of class field theory by E. Artin and J. Tate. The bulk of the early contributions were by Tate, and we are greatly indebted to the author for publishing them in his very lucid style. Many others have made impressive discoveries in the field science. ...] An Appendix by J.-L. Verier covers duality in profinite groups." The current edition includes a survey (mostly without proofs) of the main... From the reviews: "This book surveys an elegant new subject which has developed out of the cohomological treatment of class field ... |
cena:
161,36 |
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Zahlentheorie: Eine Einführung in Die Algebra
ISBN: 9783540587910 / Niemiecki / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Auf der Grundlage der Mathematikkenntnisse des ersten Studienjahres bietet der Autor eine Einfuhrung in die Zahlentheorie mit Schwerpunkt auf der elementaren und algebraischen Zahlentheorie. Das Buch wendet sich auch an Nichtspezialisten, denen es uber die Zahlen fruhzeitig den Weg in die Algebra offnet. Angestrebte Ziele sind: Der Satz von Kronecker-Weber zur Kronung der Galois-Theorie, der Minkowskische Gitterpunktsatz, der Dirichletsche Primzahlsatz und die Bewertungstheorie der Korper."
Auf der Grundlage der Mathematikkenntnisse des ersten Studienjahres bietet der Autor eine Einfuhrung in die Zahlentheorie mit Schwerpunkt auf der elem...
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cena:
150,79 |
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Number Theory IV: Transcendental Numbers
ISBN: 9783540614678 / Angielski / Twarda / 345 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book was written over a period of more than six years. Several months after we finished our work, N.1. Fel'dman (the senior author of the book) died. All additions and corrections entered after his death were made by his coauthor. The assistance of many of our colleagues was invaluable during the writing of the book. They examined parts of the manuscript and suggested many improvements, made useful comments and corrected many errors. I much have pleasure in acknowledging our great indebtedness to them. Special thanks are due to A. B. Shidlovskii, V. G. Chirskii, A.1. Galochkin and O. N....
This book was written over a period of more than six years. Several months after we finished our work, N.1. Fel'dman (the senior author of the book) d...
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cena:
605,23 |
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An Introduction to the Geometry of Numbers
ISBN: 9783540617884 / Angielski / Miękka / 345 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy... historical material is included... the author has written excellent account of an interesting subject." Mathematical Gazette "A well-written, very thorough account ... Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." The American Mathematical Monthly
From the reviews: "The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy... historical material ...
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cena:
221,90 |
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The Theory of Algebraic Number Fields
ISBN: 9783540627791 / Angielski / Twarda / 351 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Constance Reid, in Chapter VII of her book Hilbert, tells the story of the writing of the Zahlbericht, as his report entitled Die Theorie der algebra is chen Zahlkorper has always been known. At its annual meeting in 1893 the Deutsche Mathematiker-Vereinigung (the German Mathematical Society) invited Hilbert and Minkowski to prepare a report on the current state of affairs in the theory of numbers, to be completed in two years. The two mathematicians agreed that Minkowski should write about rational number theory and Hilbert about algebraic number theory. Although Hilbert had almost completed...
Constance Reid, in Chapter VII of her book Hilbert, tells the story of the writing of the Zahlbericht, as his report entitled Die Theorie der algebra ...
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cena:
524,53 |
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Algebraic Number Theory
ISBN: 9783540630036 / Angielski / Miękka / 269 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: ..". The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994
..". Number theory is not easy and quite technical at several places, as the author is able to show in his technically good exposition. The amount of difficult material well exposed gives a survey of quite a lot of good solid classical number theory... Conclusion: for people not already familiar with... From the reviews: ..". The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be s...
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cena:
282,42 |
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The Dynamical System Generated by the 3n+1 Function
ISBN: 9783540639701 / Angielski / Miękka / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it.
The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for a...
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cena:
161,36 |
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Introduction to Quadratic Forms
ISBN: 9783540665649 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "O'Meara treats his subject from this point of view (of the interaction with algebraic groups). He does not attempt an encyclopedic coverage ...nor does he strive to take the reader to the frontiers of knowledge... . Instead he has given a clear account from first principles and his book is a useful introduction to the modern viewpoint and literature. In fact it presupposes only undergraduate algebra (up to Galois theory inclusive)... The book is lucidly written and can be warmly recommended.
J.W.S. Cassels, The Mathematical Gazette, 1965 "Anyone who has heard O'Meara... From the reviews: "O'Meara treats his subject from this point of view (of the interaction with algebraic groups). He does not attempt an encyclopedic ...
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cena:
221,90 |
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Quantization and Non-Holomorphic Modular Forms
ISBN: 9783540678618 / Angielski / Miękka / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action...
This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extendi...
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cena:
161,21 |
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