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Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory
ISBN: 9780387902302 / Angielski / Twarda / 407 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to algebraic number theory via the famous problem of "Fermat's Last Theorem." The exposition follows the historical development of the problem, beginning with the work of Fermat and ending with Kummer's theory of "ideal" factorization, by means of which the theorem is proved for all prime exponents less than 37. The more elementary topics, such as Euler's proof of the impossibilty of x+y=z, are treated in an elementary way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the...
This book is an introduction to algebraic number theory via the famous problem of "Fermat's Last Theorem." The exposition follows the historical devel...
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cena:
321,86 |
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Number Theory: New York Seminar 2003
ISBN: 9780387406558 / Angielski / Twarda / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Beginning in 1982, the NYNTS has tried to present a broad spectrum of research in number theory and related fields of mathematics, from physics to geometry to combinatorics and computer science. The list of seminar speakers includes not only Fields Medallists and other established researchers, but also many other younger and less well known mathematicians whose theorems are significant and whose work may become the next big thing in number theory.
This volume marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Beginning in 1982, the NYNTS has tried to present a broad spectr...
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cena:
480,69 |
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Computational Perspectives on Number Theory
ISBN: 9780821808801 / Angielski / Miękka / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains papers presented at the conference Computational Prespectives on Number Theory held at the University of Illinois at Chicago in honour of the retirement of A.O.L. Atkin. In keeping with Atkin's interests and work, the papers cover a range of topics, including algebraic number theory, p-adic modular forms and modular curves. Many of the papers reflect Atkin's particular interest in computational and algorithmic questions.
This volume contains papers presented at the conference Computational Prespectives on Number Theory held at the University of Illinois at Chicago in h...
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cena:
367,33 |
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Theory of Commutative Fields
ISBN: 9780821845721 / Angielski / Twarda / 249 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of commutative fields is a fundamental area of mathematics, particularly in number theory, algebra, and algebraic geometry. However, few books provide sufficient treatment of this topic. This book is a translation of the 1985 updated edition of Nagata's 1966 book; both editions originally appeared in Japanese. The author aimed to provide an introduction to commutative fields that would be useful to those studying the topic for the first time as well as to those wishing a reference book. The book presents, with as few prerequisites as possible, all of the important and fundamental...
The theory of commutative fields is a fundamental area of mathematics, particularly in number theory, algebra, and algebraic geometry. However, few bo...
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cena:
715,07 |
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Contributions to the Theory of Transcendental Numbers
ISBN: 9780821815007 / Angielski / Twarda / 450 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Contains a collection of papers devoted primarily to transcendental number theory and diophantine approximations. This title includes a text of the author's invited address on his work on the theory of transcendental numbers to the 1978 International Congress of Mathematicians in Helsinki.
Contains a collection of papers devoted primarily to transcendental number theory and diophantine approximations. This title includes a text of the au...
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cena:
563,24 |
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Number-theoretic Algorithms in Cryptography
ISBN: 9780821840900 / Angielski / Twarda / 243 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algorithmic number theory is a branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. This book describes the various algorithms used in cryptography.
Algorithmic number theory is a branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer sc...
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cena:
715,07 |
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History of the Theory of Numbers, Volume 2 : Diophantine Analysis
ISBN: 9780821819357 / Angielski / Twarda Termin realizacji zamówienia: ok. 5-8 dni roboczych. This second volume is a comprehensive treatment of Diophantine analysis. Besides the familiar cases of Diophantine equations, this rubric also covers partitions, representations as a sum of two, three, four or $n$ squares, Waring's problem in general and Hilbert's solution of it, and perfect squares in artihmetical and geometrical progressions. Many important Diophantine equations, such as Pell's equation, and classes of equations, such as quadratic, cubic and quartic equations, are treated in detail.
This second volume is a comprehensive treatment of Diophantine analysis. Besides the familiar cases of Diophantine equations, this rubric also covers ...
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cena:
303,66 |
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Topics in Classical Automorphic Forms
ISBN: 9780821807774 / Angielski / Twarda / 281 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work is based on the notes from the graduate course given by the author at Rutgers University in the fall of 1994 and the spring of 1995. The main goal of the book is to acquaint the reader with various perspectives of the theory of automorphic forms. In addition to detailed and often nonstandard exposition of familiar topics of the theory, particular attention is paid to such subjects as theta-functions and representations by quadratic forms.
This work is based on the notes from the graduate course given by the author at Rutgers University in the fall of 1994 and the spring of 1995. The mai...
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cena:
431,00 |
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History of the Theory of Numbers, Volume 1 : Divisibility and Primality
ISBN: 9780821819340 / Angielski / Twarda / 486 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first volume of Dickson's History covers the related topics of divisibility and primality. It begins with a description of the development of our understanding of perfect numbers. Other standard topics, such as Fermat's theorems, primitive roots, counting divisors, the Mobius function, and prime numbers themselves are treated. Dickson, in this thoroughness, also includes less workhorse subjects, such as methods of factoring, divisibility of factorials and properties of the digits of numbers. Concepts, results and citations are numerous.
The first volume of Dickson's History covers the related topics of divisibility and primality. It begins with a description of the development of our ...
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cena:
303,66 |
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The Fermat Diary
ISBN: 9780821826706 / Angielski / Twarda / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume concentrates on the final chapter of the story of perhaps the most famous mathematics problem of our time: Fermat's Last Theorem. The full story begins in 1637, with Pierre de Fermat's enigmatic marginal note in his copy of Diophantus's Arithmetica. It ends with the spectacular solution by Andrew Wiles some 350 years later. The Fermat Diary provides a record in pictures and words of the dramatic time from June 1993 to August 1995, including the period when Wiles completed the last stages of the proof and concluding with the mathematical world's celebration of Wiles' result at...
This volume concentrates on the final chapter of the story of perhaps the most famous mathematics problem of our time: Fermat's Last Theorem. The full...
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cena:
195,91 |
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Algebraic and Arithmetic Theory of Quadratic Forms
ISBN: 9780821834411 / Angielski / Miękka / 350 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The modern theory of quadratic forms has connections with a broad spectrum of mathematical areas including number theory, geometry, and K-theory. This book contains papers presented at the International Conference on the algebraic and arithmetic theory of quadratic forms held in Talca (Chile).
The modern theory of quadratic forms has connections with a broad spectrum of mathematical areas including number theory, geometry, and K-theory. This...
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cena:
563,24 |
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Number Theory
ISBN: 9780821833315 / Angielski / Miękka Termin realizacji zamówienia: ok. 5-8 dni roboczych. Collects articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathematiques (CRM) at the University of Montreal. This book covers topics such as algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation.
Collects articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathematiques (CRM) at the University of...
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cena:
528,96 |
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On Central Critical Values of the Degree Four L-Functions for GSp(4) : The Fundamental Lemma
ISBN: 9780821833285 / Angielski / Miękka Termin realizacji zamówienia: ok. 5-8 dni roboczych. Proves two equalities of local Kloosterman integrals on $mathrmleft(4
ight)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $mathrmleft(2
ight)$ in ] and ].
Proves two equalities of local Kloosterman integrals on $mathrmleft(4
ight)$, the group of $4$ by $4$ symplectic similitude matrices. This book c...
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cena:
303,66 |
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Local Fields and Their Extensions : A Constructive Approach
ISBN: 9780821832592 / Angielski / Twarda / 345 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It incorporates improvements to the first edition, with 60 additional pages reflecting several aspects of the developments in local number theory. The volume consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor $K$-groups of fields and local fields. The first three parts essentially simplify, revise, and update the first...
This text offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It incorporates...
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cena:
715,07 |
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The Lifted Root Number Conjecture and Iwasawa Theory
ISBN: 9780821829288 / Angielski / Miękka Termin realizacji zamówienia: ok. 5-8 dni roboczych. This paper concerns the relation between the Lifted Root Number Conjecture, as introduced in GRW2], and a new equivariant form of Iwasawa theory. A main conjecture of equivariant Iwasawa theory is formulated, and its equivalence to the Lifted Root Number Conjecture is shown subject to the validity of a semi-local version of the Root Number Conjecture, which itself is proved in the case of a tame extension of real abelian fields.
This paper concerns the relation between the Lifted Root Number Conjecture, as introduced in GRW2], and a new equivariant form of Iwasawa theory. A m...
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cena:
274,27 |
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Unusual Applications of Number Theory
ISBN: 9780821827031 / Angielski / Twarda Termin realizacji zamówienia: ok. 5-8 dni roboczych. Contains the proceedings of the workshop held at the DIMACS Center of Rutgers University (Piscataway, NJ) on Unusual Applications of Number Theory. This volume gathers articles from the workshop on other, less standard applications in number theory, as well as topics in number theory with potential applications in science and engineering.
Contains the proceedings of the workshop held at the DIMACS Center of Rutgers University (Piscataway, NJ) on Unusual Applications of Number Theory. Th...
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cena:
504,46 |
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Selected Papers on Number Theory and Algebraic Geometry
ISBN: 9780821804452 / Angielski / Twarda / 91 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Presents papers that originally appeared in the Japanese journal "Sugaku" from the Mathematical Society of Japan. This book explores the relationship between number theory and algebraic geometry.
Presents papers that originally appeared in the Japanese journal "Sugaku" from the Mathematical Society of Japan. This book explores the relationship ...
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cena:
431,00 |
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Prime Numbers and Their Distribution
ISBN: 9780821816479 / Angielski / Miękka / 120 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. We have been curious about numbers - and prime numbers - since antiquity. One notable new direction of the 20th century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness.
We have been curious about numbers - and prime numbers - since antiquity. One notable new direction of the 20th century in the study of primes has bee...
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cena:
215,50 |
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Sets of Multiples
ISBN: 9780521109925 / Angielski / Miękka / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Research monograph in analytic and probabilistic number theory.
Research monograph in analytic and probabilistic number theory.
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cena:
229,29 |
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Topics in Number Theory
ISBN: 9789812835185 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the classical theory as well as a new theory on Jacobi forms over Cayley numbers developed by the author from 1990 to 2000. Applications to the classical Euler sums are of special interest to those who are eager to evaluate double Euler sums or more general multiple zeta values. The celebrated sum formula proved by Granville in 1997 is generalized to a more general form here.
This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the classical th...
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cena:
122,44 |
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