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Number Theory for Beginners
ISBN: 9780387903811 / Angielski / Miękka / 70 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the summer quarter of 1949, I taught a ten-weeks introductory course on number theory at the University of Chicago; it was announced in the catalogue as "Alge bra 251." What made it possible, in the form which I had planned for it, was the fact that Max Rosenlicht, now of the University of California at Berkeley, was then my assistant. According to his recollection, "this was the first and last time, in the his tory of the Chicago department of mathematics, that an assistant worked for his salary." The course consisted of two lectures a week, supplemented by a weekly "laboratory period"...
In the summer quarter of 1949, I taught a ten-weeks introductory course on number theory at the University of Chicago; it was announced in the catalog...
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cena:
306,26 zł |
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Local Fields
ISBN: 9780387904245 / Angielski / Twarda / 241 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The goal of this book is to present local class field theory from the cohomo- logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of "localisation." The chapters are grouped in "parts." There are three preliminary parts: the first two on the general theory of local fields, the third on group coho- mology....
The goal of this book is to present local class field theory from the cohomo- logical point of view, following the method inaugurated by Hochschild an...
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cena:
218,05 zł |
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13 Lectures on Fermat's Last Theorem
ISBN: 9780387904320 / Angielski / Twarda / 302 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Fermat's problem, also ealled Fermat's last theorem, has attraeted the attention of mathematieians far more than three eenturies. Many clever methods have been devised to attaek the problem, and many beautiful theories have been ereated with the aim of proving the theorem. Yet, despite all the attempts, the question remains unanswered. The topie is presented in the form of leetures, where I survey the main lines of work on the problem. In the first two leetures, there is a very brief deseription of the early history, as well as a seleetion of a few of the more representative reeent results....
Fermat's problem, also ealled Fermat's last theorem, has attraeted the attention of mathematieians far more than three eenturies. Many clever methods ...
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cena:
191,40 zł |
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Modular Units
ISBN: 9780387905174 / Angielski / Twarda / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the present book, we have put together the basic theory of the units and cuspidal divisor class group in the modular function fields, developed over the past few years. Let i) be the upper half plane, and N a positive integer. Let r(N) be the subgroup of SL (Z) consisting of those matrices == 1 mod N. Then r(N)i) 2 is complex analytic isomorphic to an affine curve YeN), whose compactifi cation is called the modular curve X(N). The affine ring of regular functions on yeN) over C is the integral closure of C j] in the function field of X(N) over C. Here j is the classical modular function....
In the present book, we have put together the basic theory of the units and cuspidal divisor class group in the modular function fields, developed ove...
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cena:
765,72 zł |
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Lectures on the Theory of Algebraic Numbers
ISBN: 9780387905952 / Angielski / Twarda / 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:
267,98 zł |
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Introduction to Algebraic and Abelian Functions
ISBN: 9780387907109 / Angielski / Twarda / 170 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography.
Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theo...
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cena:
306,26 zł |
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From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical Development
ISBN: 9780387909424 / Angielski / Twarda / 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:
191,40 zł |
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Ramanujan's Notebooks: Part IV
ISBN: 9780387941097 / Angielski / Twarda / 451 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the years 1903-1914, Ramanujan worked in almost complete isolation in India. During this time, he recorded most of his mathematical discoveries without proofs in notebooks. Although many of his results were already found in the literature, most were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit Ramanujan's notebooks, but they never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the fourth of five volumes devoted to the editing of...
During the years 1903-1914, Ramanujan worked in almost complete isolation in India. During this time, he recorded most of his mathematical discoveries...
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cena:
689,15 zł |
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Algebraic Number Theory
ISBN: 9780387942254 / Angielski / Twarda / 357 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. "Lang's books are always of great value for the graduate student and the research mathematician. This updated edition of Algebraic number theory is no exception."--MATHEMATICAL REVIEWS This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the studen... |
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229,69 zł |
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A Course in Number Theory and Cryptography
ISBN: 9780387942933 / Angielski / Twarda / 235 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. . . . both Gauss and lesser mathematicians may be justified in rejoic- ing that there is one science number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician's Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to "ordinary human activities" such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it...
. . . both Gauss and lesser mathematicians may be justified in rejoic- ing that there is one science number theory] at any rate, and that their own, ...
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cena:
191,25 zł |
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Introduction to Diophantine Approximations: New Expanded Edition
ISBN: 9780387944562 / Angielski / Twarda / 130 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere.
Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in... The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationsh...
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382,84 zł |
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The New Book of Prime Number Records
ISBN: 9780387944579 / Angielski / Twarda / 541 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium senes. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book of Records, reminded me very gently that the most "innumerate" people of the world are of a certain trible in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes, Morris, I'm from Brazil, but my book will contain numbers different from .one.''' He added that the most boring 800-page book is by...
This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium senes. In another colloquium lec...
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cena:
382,84 zł |
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Polynomials and Polynomial Inequalities
ISBN: 9780387945095 / Angielski / Twarda / 480 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis; it focuses on polynomials and rational functions of a single variable. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.
After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental... Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and com...
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cena:
344,56 zł |
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Additive Number Theory: Inverse Problems and the Geometry of Sumsets
ISBN: 9780387946559 / Angielski / Twarda / 295 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A. In recent years there has been ramrkable progress in the study of inverse problems for finite sets of integers. In particular, there are important and beautiful inverse... Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer |
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325,42 zł |
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Additive Number Theory the Classical Bases
ISBN: 9780387946566 / Angielski / Twarda / 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:
459,42 zł |
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Introduction to Cyclotomic Fields
ISBN: 9780387947624 / Angielski / Twarda / 490 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included.
The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter... Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in a...
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cena:
256,34 zł |
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Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory
ISBN: 9780387950020 / Angielski / Miękka / 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:
191,40 zł |
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Classical Theory of Algebraic Numbers
ISBN: 9780387950709 / Angielski / Twarda / 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:
421,13 zł |
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Multiplicative Number Theory
ISBN: 9780387950976 / Angielski / Twarda / 182 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions and the theorem of Siegel. It also presents a simplified, improved version of the large sieve method. The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections ... |
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229,54 zł |
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Topics in the Theory of Numbers
ISBN: 9780387953205 / Angielski / Twarda / 287 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This rather unique book is a guided tour through number theory. While most introductions to number theory provide a systematic and exhaustive treatment of the subject, the authors have chosen instead to illustrate the many varied subjects by associating recent discoveries, interesting method, and unsolved problems. In particular, we read about combinatorial problems in number theory, a branch of mathematics co-founded and popularized by Paul Erdos. Janos Suranyi's vast teaching experience successfully complements Paul Erdos' ability to initiate new directions of research by suggesting new...
This rather unique book is a guided tour through number theory. While most introductions to number theory provide a systematic and exhaustive treatmen...
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cena:
287,12 zł |
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