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Number Theory, Analysis, and Combinatorics: Proceedings of the Paul Turan Memorial Conference Held August 22-26, 2011 in Budapest
ISBN: 9783110282375 / Angielski / Twarda / 416 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Paul Turan, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfred Renyi Institute of Mathematics, the Janos Bolyai Mathematical Society and the Mathematical Institute of Eotvos Lorand University organized an international conference devoted to Paul Turan's main areas of interest: number theory, selected branches of analysis, and selected branches of combinatorics. The conference was held in Budapest, August 22-26, 2011. Some of the invited lectures reviewed different aspects... Paul Turan, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Acad... |
cena:
805,27 |
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Modular Forms and Fermat's Last Theorem
ISBN: 9780387989983 / Angielski / Miękka / 582 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held August 9 through 18, 1995 at Boston University. Contributor's includeThe purpose of the conference, and of this book, is to introduce and explain the many ideas and techniques used by Wiles in his proof that every (semi-stable) elliptic curve over Q is modular, and to explain how Wiles' result can be combined with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat's Last Theorem is true. The book begins with an overview of the...
This volume contains expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held August 9 through...
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cena:
401,58 |
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The Algorithmic Resolution of Diophantine Equations
ISBN: 9780521646338 / Angielski / Miękka / 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:
271,58 |
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Algebraic Number Theory
ISBN: 9783540653998 / Angielski / Twarda / 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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A Primer of Analytic Number Theory: From Pythagoras to Riemann
ISBN: 9780521813099 / Angielski / Twarda / 398 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal numbers, perfect numbers and amicable pairs, as well as to the important open problems. The culmination of the book is a brief presentation of the Riemann zeta function, which determines the distribution of prime numbers, and of the significance of the Riemann Hypothesis.
This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey...
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cena:
578,03 |
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IDENTIFICATION NUMBERS AND CHECK DIGIT SCHEMES
ISBN: 9780883857205 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book develops the mathematical skills necessary for the investigation of the increasingly pervasive codes used to identify everything from credit cards to books to supermarket goods. An important part of such codes is the check digit, which can point out when an error has been made, either accidentally in transmission, or deliberately in an attempt at fraud. Mathematics plays a crucial role in designing and verifying such check digit schemes. Beginning undergraduates and pre-university students should find this book both accessible and fun. In the process of describing the identification...
This book develops the mathematical skills necessary for the investigation of the increasingly pervasive codes used to identify everything from credit...
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cena:
183,46 |
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The Diophantine Frobenius Problem
ISBN: 9780198568209 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised the following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1, an, find the largest natural number (called the Frobenius number and denoted by g(a1, an) that is not representable as a nonnegative integer combination of a1, an.
At first glance FB may look deceptively specialized. Nevertheless it crops up again and again in the most unexpected places and has been extremely useful in investigating many different problems. A number of methods, from several areas of... During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised the following problem, known as the Frobenius Problem (FP): gi...
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cena:
680,94 |
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ALGORITHMIC THEORY OF NUMBERS, GRAPHS AND CONVEXITY
ISBN: 9780898712032 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. Studies two algorithms in detail: the ellipsoid method and the simultaneous diophantine approximation method.
Studies two algorithms in detail: the ellipsoid method and the simultaneous diophantine approximation method.
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cena:
231,74 |
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Binary Quadratic Forms: An Algorithmic Approach
ISBN: 9783540463672 / Angielski / Twarda / 318 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X, Y)= aX +bXY +cY with integer coe?cients a, b, c, the mathem- ical theories that permit the solution of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with real coe?cients and it is shown that forms with integer coe?cients appear in a natural way. Much of the progress of number theory has been stimulated by the study of concrete computational problems. Deep theories were developed from the classic time of Euler and Gauss onwards to this day that made...
This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X, Y)= aX +bXY +cY with integer coe?cients a, b, c, the mathem- ical...
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cena:
200,77 |
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Summa Summarum
ISBN: 9781568813233 / Angielski / Twarda / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Every mathematician, and user of mathematics, needs to manipulate sums or to find and handle combinatorial identities. In this book, the author provides a coherent tour of many known finite algebraic sums and offers a guide for devising simple ways of changing a given sum to a standard form that can be evaluated . As such, Summa Summarum serves as both an introduction and a reference for researchers, graduate and upper-level undergraduate students, and non-specialists alike: from tools as distinct as the most classical ideas of Euler to the recent effective computer algorithms by Gosper and...
Every mathematician, and user of mathematics, needs to manipulate sums or to find and handle combinatorial identities. In this book, the author provid...
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cena:
506,93 |
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The Heat Kernel and Theta Inversion on SL2(C)
ISBN: 9780387380315 / Angielski / Twarda / 319 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The worthy purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2, Z i])SL(2, C). Unlike other treatments of the theory, the approach taken here is to begin with the heat kernel on SL(2, C) associated to the invariant Laplacian, which is derived using spherical inversion. The heat kernel on the quotient space SL(2, Z i])SL(2, C) is arrived at through periodization, and further expanded in an eigenfunction expansion. A theta inversion formula is obtained by studying the trace of the heat kernel. Following the... The worthy purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2, Z i... |
cena:
401,58 |
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Ramanujan's Forty Identities for the Rogers-Ramanujan Functions
ISBN: 9780821839737 / Angielski / Miękka / 96 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Sir Arthur Conan Doyle's famous fictional detective Sherlock Holmes and his sidekick Dr. Watson go camping and pitch their tent under the stars. During the night, Holmes wakes his companion and says, ""Watson, look up at the stars and tell me what you deduce."" Watson says, ""I see millions of stars, and it is quite likely that a few of them are planets just like Earth. Therefore there may also be life on these planets."" Holmes replies, ""Watson, you idiot. Somebody stole our tent."" When seeking proofs of Ramanujan's identities for the Rogers-Ramanujan functions, Watson, i.e., G. N. Watson,...
Sir Arthur Conan Doyle's famous fictional detective Sherlock Holmes and his sidekick Dr. Watson go camping and pitch their tent under the stars. Durin...
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cena:
299,33 |
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Approximation by Algebraic Numbers
ISBN: 9780521045674 / Angielski / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. To help the reader access the current state of research in this branch of number theory, Yann Bugeaud combines the most important results previously scattered throughout the research literature and also includes a number of significant open questions. Although written for graduates who wish to pursue research, the collection will also be an invaluable reference work for established researchers.
To help the reader access the current state of research in this branch of number theory, Yann Bugeaud combines the most important results previously s...
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cena:
425,18 |
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Topics in Galois Theory
ISBN: 9781568814124 / Angielski / Twarda / 120 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt construction for p-groups, p = 2, as well as Hilbert's irreducibility theorem and the large sieve inequality, are presented. The second half is devoted to rationality and rigidity criteria and their application in realizing certain groups as Galois groups of...
This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Ga...
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cena:
531,07 |
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Selected Works of Ilya Piatetski-Shapiro
ISBN: 9780821809303 / Angielski / Twarda Termin realizacji zamówienia: ok. 5-8 dni roboczych. This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time...
This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in h...
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cena:
675,91 |
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Elliptic Curves and Big Galois Representations
ISBN: 9780521728669 / Angielski / Miękka / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the arithmetic of elliptic curves, in particular the Birch and Swinnerton-Dyer (BSD) formula. Three main steps are outlined: the first is to parametrise 'big' cohomology groups using (deformations of) modular symbols. Finiteness results for big Selmer groups are then established. Finally, at weight two, the arithmetic invariants of these Selmer...
The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the me...
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cena:
425,18 |
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Number Theory Through Inquiry
ISBN: 9780883857519 / Angielski / Twarda / 150 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This innovative textbook leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. The first is to help students develop mathematical thinking skills, particularly theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for independent study, or for a course designed as an introduction to abstract mathematics. It is designed to be used with an instructional technique variously called...
This innovative textbook leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. The...
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cena:
334,72 |
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Catalan's Conjecture
ISBN: 9781848001848 / Angielski / Miękka / 136 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Eugene Charles Catalan made his famous conjecture that 8 and 9 are the only two consecutive perfect powers of natural numbers in 1844 in a letter to the editor of Crelle s mathematical journal. One hundred and fifty-eight years later, Preda Mihailescu proved it. Catalan s Conjecture presents this spectacular result in a way that is accessible to the advanced undergraduate. The author dissects both Mihailescu s proof and the earlier work it made use of, taking great care to select streamlined and transparent versions of the arguments and to keep the text self-contained. Only in the proof... Eugene Charles Catalan made his famous conjecture that 8 and 9 are the only two consecutive perfect powers of natural numbers in 1844 in a letter t... |
cena:
240,93 |
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A Higher-Dimensional Sieve Method
ISBN: 9780521894876 / Angielski / Twarda / 290 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and in recent years have played a part in some of the most spectacular mathematical discoveries. Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and reliable guide in such situations. The theory of higher dimensional sieves is thoroughly...
As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and i...
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cena:
532,29 |
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Surveys in Number Theory
ISBN: 9780387785097 / Angielski / Twarda / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B.C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D.M. Bressoud), theta functions in complex analysis (H.M. Farkas),... Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics.... |
cena:
200,77 |
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