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A Brief Guide to Algebraic Number Theory
ISBN: 9780521004237 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This account of Algebraic Number Theory is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number...
This account of Algebraic Number Theory is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most...
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232,73 zł |
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A Primer of Analytic Number Theory: From Pythagoras to Riemann
ISBN: 9780521012539 / Angielski / Miękka / 400 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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237,35 zł |
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Diophantine Equations Over Function Fields
ISBN: 9780521269834 / Angielski / Miękka / 136 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Diophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation. In recent years increasing interest has been aroused in the analogous area of equations over function fields. However, although considerable progress has been made by previous authors, none has attempted the central problem of providing methods for the actual solution of such equations. The latter is the purpose and achievement of this volume: algorithms are provided for the complete resolution of various families of equations, such as those of Thue,...
Diophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation. In recent ye...
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228,11 zł |
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P-Adic Analysis: A Short Course on Recent Work
ISBN: 9780521280600 / Angielski / Miękka / 168 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed....
This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of...
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269,70 zł |
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Diophantine Analysis: Proceedings at the Number Theory Section of the 1985 Australian Mathematical Society Convention
ISBN: 9780521339230 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The papers in this volume, which were presented at the 1985 Australian Mathematical Society convention, survey recent work in Diophantine analysis. The contributors are leading mathematicians in the world, and their articles are state of the art accounts, many of which include open problems pointing the way to further research. The contributions will be of general interest to number theorists and of particular interest to workers in transcendence theory, Diophantine approximation and exponential sums.
The papers in this volume, which were presented at the 1985 Australian Mathematical Society convention, survey recent work in Diophantine analysis. Th...
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228,66 zł |
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L-Functions and Arithmetic
ISBN: 9780521386197 / Angielski / Miękka / 404 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The Symposium consisted of several short courses, aimed at presenting rigorous but nontechnical explanations of the latest research areas, and a number of individual lectures on specific topics.
This volume is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The Symposium consisted of several short courses, aimed at ...
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380,60 zł |
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The Distribution of Prime Numbers
ISBN: 9780521397896 / Angielski / Miękka / 136 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Originally published in 1934 in the Cambridge Tracts this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. The major part of the book is devoted to the analytical theory founded on the zeta-function of Riemann. Despite being long out of print, this Tract still remains unsurpassed as an introduction to the field, combining an economy of detail with a clarity of exposition which eases the novice into this area.
Originally published in 1934 in the Cambridge Tracts this volume presents the theory of the distribution of the prime numbers in the series of natural...
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200,38 zł |
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Sets of Multiples
ISBN: 9780521404242 / Angielski / Twarda / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of sets of multiples, a subject that lies at the intersection of analytic and probabilistic number theory, has seen much development since the publication of "Sequences" by Halberstam and Roth nearly thirty years ago. The area is rich in problems, many of them still unsolved or arising from current work. In this book, the author gives a coherent, self-contained account of the existing theory, bringing the reader to the frontiers of research. One of the fascinations of the theory is the variety of methods applicable to it, which include Fourier analysis, group theory, high and...
The theory of sets of multiples, a subject that lies at the intersection of analytic and probabilistic number theory, has seen much development since ...
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cena:
519,24 zł |
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Primes and Programming: An Introduction to Number Theory with Computing
ISBN: 9780521409889 / Angielski / Miękka / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Peter Giblin describes, in the context of an introduction to the theory of numbers, some of the more elementary methods for factorization and primality testing; that is, methods independent of a knowledge of other areas of mathematics. Indeed everything is developed from scratch so the mathematical prerequisites are minimal. An essential feature of the book is the large number of computer programs (written in Pascal) and a wealth of computational exercises and projects, in addition to more usual theory exercises. The theoretical development includes continued fractions and quadratic residues,...
Peter Giblin describes, in the context of an introduction to the theory of numbers, some of the more elementary methods for factorization and primalit...
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cena:
241,97 zł |
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Squares
ISBN: 9780521426688 / Angielski / Miękka / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work is a self-contained treatise on the research conducted on squares by Pfister, Hilbert, Hurwitz, and others. Many classical and modern results and quadratic forms are brought together in this book, and the treatment requires only a basic knowledge of rings, fields, polynomials, and matrices. The author deals with many different approaches to the study of squares, from the classical works of the late nineteenth century, to areas of current research.
This work is a self-contained treatise on the research conducted on squares by Pfister, Hilbert, Hurwitz, and others. Many classical and modern result...
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cena:
278,94 zł |
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Arithmetical Functions
ISBN: 9780521427258 / Angielski / Miękka / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theme of this book is the characterization of certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Halasz and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included,...
The theme of this book is the characterization of certain multiplicative and additive arithmetical functions by combining methods from number theory w...
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cena:
297,42 zł |
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Elementary Theory of L-Functions and Eisenstein Series
ISBN: 9780521434119 / Angielski / Twarda / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a comprehensive and systematic account of the theory of p-adic and classical modular forms and the theory of the special values of arithmetic L-functions and p-adic L-functions. The approach is basically algebraic, and the treatment is elementary. No deep knowledge from algebraic geometry and representation theory is required. The author's main tool in dealing with these problems is taken from cohomology theory over Riemann surfaces, which is also explained in detail in the book. He also gives a concise but thorough treatment of analytic continuation and functional equation....
This book is a comprehensive and systematic account of the theory of p-adic and classical modular forms and the theory of the special values of arithm...
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cena:
685,60 zł |
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Elementary Theory of L-Functions and Eisenstein Series
ISBN: 9780521435697 / Angielski / Miękka / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a comprehensive and systematic account of the theory of p-adic and classical modular forms and the theory of the special values of arithmetic L-functions and p-adic L-functions. The approach is basically algebraic, and the treatment is elementary. No deep knowledge from algebraic geometry and representation theory is required. The author's main tool in dealing with these problems is taken from cohomology theory over Riemann surfaces, which is also explained in detail in the book. He also gives a concise but thorough treatment of analytic continuation and functional equation....
This book is a comprehensive and systematic account of the theory of p-adic and classical modular forms and the theory of the special values of arithm...
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cena:
366,74 zł |
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Algebraic Number Theory
ISBN: 9780521438346 / Angielski / Miękka / 372 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a brisk, thorough treatment of the foundations of algebraic number theory on which it builds to introduce more advanced topics. Throughout, the authors emphasize the systematic development of techniques for the explicit calculation of the basic invariants such as rings of integers, class groups, and units, combining at each stage theory with explicit computations.
This book provides a brisk, thorough treatment of the foundations of algebraic number theory on which it builds to introduce more advanced topics. Thr...
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cena:
297,42 zł |
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Spectral Theory of the Riemann Zeta-Function
ISBN: 9780521445207 / Angielski / Twarda / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This ground-breaking work combines the classic (the zeta-function) with the modern (the spectral theory) to create a comprehensive but elementary treatment of spectral resolution. The story starts with a basic but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. The author achieves this by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory. These ideas are then utilized to unveil a new image of the zeta-function, revealing it as the main gem of a necklace...
This ground-breaking work combines the classic (the zeta-function) with the modern (the spectral theory) to create a comprehensive but elementary trea...
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cena:
537,73 zł |
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Combinatorial and Geometric Group Theory, Edinburgh 1993
ISBN: 9780521465953 / Angielski / Miękka / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The papers in this book represent the current state of knowledge in group theory. It includes articles of current interest written by such scholars as S.M. Gersten, R.I. Grigorchuk, P.H. Kropholler, A. Lubotsky, A.A. Razborov and E. Zelmanov. The contributed articles, all refereed, cover a wide range of topics in combinatorial and geometric group theory. The volume will be indispensable to all researchers in the area.
The papers in this book represent the current state of knowledge in group theory. It includes articles of current interest written by such scholars as...
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334,39 zł |
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Quadratic Forms with Applications to Algebraic Geometry and Topology
ISBN: 9780521467551 / Angielski / Miękka / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume discusses results about quadratic forms that give rise to interconnections among number theory, algebra, algebraic geometry, and topology. The author deals with various topics including Hilbert's 17th problem, the Tsen-Lang theory of quasi-algebraically closed fields, the level of topological spaces, and systems of quadratic forms over arbitrary fields. Whenever possible, proofs are short and elegant, and the author has made this book as self-contained as possible. This book brings together thirty years' worth of results certain to interest anyone whose research touches on...
This volume discusses results about quadratic forms that give rise to interconnections among number theory, algebra, algebraic geometry, and topology....
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cena:
251,53 zł |
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Davenport-Schinzel Sequences and Their Geometric Applications
ISBN: 9780521470254 / Angielski / Twarda / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Applications of Davenport-Schinzel sequences arise in areas as diverse as robot motion planning, computer graphics and vision, and pattern matching. These sequences exhibit some surprising properties that make them a fascinating subject for research in combinatorial analysis. This book provides a comprehensive study of the combinatorial properties of Davenport-Schinzel sequences and their numerous geometric applications. These sequences are sophisticated tools for solving problems in computational and combinatorial geometry. This first book on the subject by two of its leading researchers...
Applications of Davenport-Schinzel sequences arise in areas as diverse as robot motion planning, computer graphics and vision, and pattern matching. T...
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cena:
607,04 zł |
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Elementary Number Theory, Group Theory and Ramanujan Graphs
ISBN: 9780521531436 / Angielski / Miękka / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.
This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, an...
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cena:
200,38 zł |
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Introductory Algebraic Number Theory
ISBN: 9780521540117 / Angielski / Miękka / 448 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Suitable for senior undergraduates and beginning graduate students in mathematics, this book is an introduction to algebraic number theory at an elementary level. Prerequisites are kept to a minimum, and numerous examples illustrating the material occur throughout the text. References to suggested readings and to the biographies of mathematicians who have contributed to the development of algebraic number theory are provided at the end of each chapter. Other features include over 320 exercises, an extensive index, and helpful location guides to theorems in the text.
Suitable for senior undergraduates and beginning graduate students in mathematics, this book is an introduction to algebraic number theory at an eleme...
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cena:
237,35 zł |
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