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Number Theory and Algebraic Geometry
ISBN: 9780521545181 / Angielski / Miękka / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume, dedicated to him on the occasion of his 75th birthday, provides contemporary insight into several subjects in which his influence has been notable. The contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. Topics treated include rational points on algebraic varieties, the Hasse principle, Shafarevich-Tate groups of elliptic curves and motives, Zagier's conjectures, descent and zero-cycles, Diophantine approximation, and...
Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume, dedicated to him on the occasion ...
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335,07 zł |
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Number Theory: Paris 1992-3
ISBN: 9780521559119 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume discusses the whole spectrum of number theory with many contributions from some of the world's leading figures. Contributors cover the very latest research developments and much of the work presented here will not be found elsewhere. Also included are surveys that will guide the reader through the extensive published literature. This text will be a necessary addition to the libraries of all workers in number theory.
This volume discusses the whole spectrum of number theory with many contributions from some of the world's leading figures. Contributors cover the ver...
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cena:
335,07 zł |
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Duality in Analytic Number Theory
ISBN: 9780521560887 / Angielski / Twarda / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this stimulating book, Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its application, the book also illustrates a way of thinking mathematically: The author weaves historical background into the narrative, while variant proofs illustrate obstructions, false steps and the development of insight in a manner reminiscent of Euler. He demonstrates how to formulate theorems as well as how to construct their proofs. Elementary notions from functional...
In this stimulating book, Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, inc...
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cena:
626,79 zł |
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The Hardy-Littlewood Method
ISBN: 9780521573474 / Angielski / Twarda / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Hardy-Littlewood method is a means of estimating the number of integer solutions of equations and was first applied to Waring's problem on representations of integers by sums of powers. This introduction to the method deals with its classical forms and outlines some of the more recent developments. Now in its second edition it has been fully updated; the author has made extensive revisions and added a new chapter to take account of major advances by Vaughan and Wooley. The reader is expected to be familiar with elementary number theory and postgraduate students should find it of great use...
The Hardy-Littlewood method is a means of estimating the number of integer solutions of equations and was first applied to Waring's problem on represe...
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cena:
654,57 zł |
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Automorphic Forms on Sl2 (R)
ISBN: 9780521580496 / Angielski / Twarda / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup DEGREESD*G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this connection explicit. The topics treated include the construction of fundamental domains, the notion of automorphic form on DEGREESD*GG and its relationship with the classical automorphic forms on X, Poincare series, constant terms, cusp...
This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to ...
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cena:
538,81 zł |
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Number Theory: Séminaire de Théorie Des Nombres de Paris 1993-94
ISBN: 9780521585491 / Angielski / Miękka / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book covers the whole spectrum of number theory and is composed of contributions from well-known, international specialists. These lectures constitute the latest developments in number theory and are expected to form a basis for further discussions. It is an invaluable resource for students and researchers in number theory.
This book covers the whole spectrum of number theory and is composed of contributions from well-known, international specialists. These lectures const...
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cena:
229,29 zł |
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Sieve Methods, Exponential Sums, and Their Applications in Number Theory
ISBN: 9780521589574 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from leading international figures in this area, which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction among the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, while displaying the subtle interplay between the additive and multiplicative aspects of the subjects. The fundamental problems...
This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Inclu...
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cena:
335,07 zł |
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Algorithmic Algebraic Number Theory
ISBN: 9780521596695 / Angielski / Miękka / 516 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This classic book gives a thorough introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. It also provides a comprehensive look at recent research. For experimental number theoreticians, the authors developed new methods and obtained new results of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.
This classic book gives a thorough introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course...
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cena:
409,15 zł |
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Integer Partitions
ISBN: 9780521600903 / Angielski / Miękka / 152 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of integer partitions is a subject of enduring interest as well as a major research area. It has found numerous applications, including celebrated results such as the Rogers-Ramanujan identities. The aim of this introductory textbook is to provide an accessible and wide-ranging introduction to partitions, without requiring anything more than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints.
The theory of integer partitions is a subject of enduring interest as well as a major research area. It has found numerous applications, including cel...
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cena:
196,15 zł |
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Advances in Elliptic Curve Cryptography
ISBN: 9780521604154 / Angielski / Miękka / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research...
Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topi...
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cena:
367,48 zł |
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Analytic Methods for Diophantine Equations and Diophantine Inequalities
ISBN: 9780521605830 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in...
Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the ea...
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cena:
321,00 zł |
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An Introduction to Sieve Methods and Their Applications
ISBN: 9780521612753 / Angielski / Miękka / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have inspired the development of the theory. This book provides a motivating introduction to sieve theory. Rather than focus on technical details which can obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. The text can be used for a senior...
Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also ...
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cena:
371,44 zł |
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Elementary Number Theory in Nine Chapters
ISBN: 9780521615242 / Angielski / Miękka / 444 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Intended to serve as a one-semester introductory course in number theory, this second edition has been revised throughout. In particular, the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler. In addition, a wealth of new exercises have been included to fully illustrate the properties of numbers and concepts developed in the text. The book will serve as a stimulating introduction for students new to number theory, regardless of their background. First Edition Hb (1999) 0-521-58503-1 First...
Intended to serve as a one-semester introductory course in number theory, this second edition has been revised throughout. In particular, the field of...
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cena:
223,93 zł |
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Recent Perspectives in Random Matrix Theory and Number Theory
ISBN: 9780521620581 / Angielski / Miękka / 532 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years the application of random matrix techniques to analytic number theory has been responsible for major advances in this area of mathematics. As a consequence it has created a new and rapidly developing area of research. The aim of this book is to provide the necessary grounding both in relevant aspects of number theory and techniques of random matrix theory, as well as to inform the reader of the progress made when the two apparently disparate subjects meet. This volume of proceedings is addressed to graduate students and other researchers in both pure mathematics and...
In recent years the application of random matrix techniques to analytic number theory has been responsible for major advances in this area of mathemat...
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cena:
404,52 zł |
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Special Functions
ISBN: 9780521623216 / Angielski / Twarda / 684 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Special functions, which include the trigonometric functions, have been used for centuries. Their role in the solution of differential equations was exploited by Newton and Leibniz, and the subject of special functions has been in continuous development ever since. In just the past thirty years several new special functions and applications have been discovered. This treatise presents an overview of the area of special functions, focusing primarily on the hypergeometric functions and the associated hypergeometric series. It includes both important historical results and recent developments...
Special functions, which include the trigonometric functions, have been used for centuries. Their role in the solution of differential equations was e...
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cena:
714,77 zł |
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The Theory of Partitions
ISBN: 9780521637664 / Angielski / Miękka / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn recently found applications to statistical mechanics, computer science and other branches of mathematics. With minimal prerequisites, this book is suitable for students as well as researchers in...
This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. ...
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cena:
270,24 zł |
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The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook
ISBN: 9780521641562 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Beginning with a brief introduction to algorithms and diophantine equations, this volume provides a coherent modern account of the methods used to find all the solutions to certain diophantine equations, particularly those developed for use on a computer. The study is divided into three parts, emphasizing approaches with a wide range of applications. The first section considers basic techniques including local methods, sieving, descent arguments and the LLL algorithm. The second section explores problems that can be solved using Baker's theory of linear forms in logarithms. The final section...
Beginning with a brief introduction to algorithms and diophantine equations, this volume provides a coherent modern account of the methods used to fin...
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cena:
599,00 zł |
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Character Sums with Exponential Functions and Their Applications
ISBN: 9780521642637 / Angielski / Twarda / 172 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theme of this book is the study of the distribution of integer powers modulo a prime number. It provides numerous new, sometimes quite unexpected, links between number theory and computer science as well as to other areas of mathematics. Possible applications include (but are not limited to) complexity theory, random number generation, cryptography, and coding theory. The main method discussed is based on bounds of exponential sums. Accordingly, the book contains many estimates of such sums, including new estimates of classical Gaussian sums. It also contains many open questions and...
The theme of this book is the study of the distribution of integer powers modulo a prime number. It provides numerous new, sometimes quite unexpected,...
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cena:
692,43 zł |
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Ranks of Elliptic Curves and Random Matrix Theory
ISBN: 9780521699648 / Angielski / Miękka / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Random matrix theory is an area of mathematics first developed by physicists interested in the energy levels of atomic nuclei, but it can also be used to describe some exotic phenomena in the number theory of elliptic curves. This book illustrates this interplay of number theory and random matrices. It begins with an introduction to elliptic curves and the fundamentals of modeling by a family of random matrices, and moves on to highlight the latest research. There are expositions of current research on ranks of elliptic curves, statistical properties of families of elliptic curves and their...
Random matrix theory is an area of mathematics first developed by physicists interested in the energy levels of atomic nuclei, but it can also be used...
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cena:
316,54 zł |
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Heights in Diophantine Geometry
ISBN: 9780521712293 / Angielski / Miękka / 670 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject for graduate students and researchers. They have re-examined many results and much of the literature, and provide a thorough account of several topics at a level not seen before in book form. The treatment is largely...
Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of...
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cena:
325,80 zł |
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