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Fundamentals of Diophantine Geometry
ISBN: 9781441928184 / Angielski / Miękka / 370 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields of finite type over the integers and rationals. Furthermore, one is...
Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of...
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cena:
322,01 |
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The Classical Groups and K-Theory
ISBN: 9783642057373 / Angielski / Miękka / 578 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years. When H. Weyl coined the words "classical groups," foremost in his mind were their connections with invariant theory, which his famous book helped to revive. Although his approach in that book was deliberately algebraic, his interest in these groups directly derived from his pioneering study of the special case in which the scalars are real or complex numbers, where for the first time he injected Topology into Lie theory. But ever since the...
It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years....
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cena:
442,79 |
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Elliptic Curves: Diophantine Analysis
ISBN: 9783642057175 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book takes the view that parallel to the pure arithmetic theory over number fields lies the algebraic-geometric theory of algebraic systems, where sections play the role of rational points. The author formulates analogs of classic diophantine problems.
This book takes the view that parallel to the pure arithmetic theory over number fields lies the algebraic-geometric theory of algebraic systems, wher...
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cena:
402,53 |
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Heights of Polynomials and Entropy in Algebraic Dynamics
ISBN: 9781849968546 / Angielski / Miękka / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics. Both subjects have highly technical aspects, yet both of- fer a rich supply of down-to-earth examples. Both have much to gain from each other in techniques and, more importantly, as a means for posing (and sometimes solving) outstanding problems. It is unlikely that new graduate students will have the time or the energy to master both. This book is in- tended as a starting point for either topic, but is in content no more than an invitation. We hope to show that a rich common vein of ideas permeates both...
Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics. Both subjects have highly technical aspects, yet both of- fe...
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cena:
201,24 |
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Weyl Group Multiple Dirichlet Series: Type a Combinatorial Theory (Am-175)
ISBN: 9780691150666 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series may be functions of several complex variables and their groups of functional equations may be arbitrary finite Weyl groups. Furthermore, their coefficients are multiplicative up to roots of unity, generalizing the notion of Euler products. This book proves foundational results about these... Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series wi... |
cena:
293,86 |
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Reciprocity Laws: From Euler to Eisenstein
ISBN: 9783642086281 / Angielski / Miękka / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The history of reciprocity laws is a history of algebraic number theory. This is a book on reciprocity laws, and our introductory remark is placed at the beginning as a warning: in fact a reader who is acquainted with little more than a course in elementary number theory may be surprised to learn that quadratic reciprocity does - in a sense that we will explain - belong to the realm of algebraic number theory. Heeke { 348, p. 59]) has formulated this as follows: Von der Entdeckung des Reziprozitiitsgesetzes kann man die mo derne Zahlentheorie datieren. Seiner Form nach gehort es noch der...
The history of reciprocity laws is a history of algebraic number theory. This is a book on reciprocity laws, and our introductory remark is placed at ...
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cena:
563,56 |
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Resolution of Singularities of Embedded Algebraic Surfaces
ISBN: 9783642083518 / Angielski / Miękka / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety. The degrees of freedom of a moving point on the variety is the dimension of the variety. A one-dimensional variety is a curve and a two-dimensional variety is a surface. A three-dimensional variety may be called asolid. Most points of a variety are simple points. Singularities are special points, or points of multiplicity greater than one. Points of multiplicity two are double points, points of multiplicity three are tripie points, and so on. A nodal point of a...
The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety. The degrees of freedo...
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cena:
402,53 |
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Number Theory for Computing
ISBN: 9783642077104 / Angielski / Miękka / 435 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Modern cryptography depends heavily on number theory, with primality test ing, factoring, discrete logarithms (indices), and elliptic curves being perhaps the most prominent subject areas. Since my own graduate study had empha sized probability theory, statistics, and real analysis, when I started work ing in cryptography around 1970, I found myself swimming in an unknown, murky sea. I thus know from personal experience how inaccessible number theory can be to the uninitiated. Thank you for your efforts to case the transition for a new generation of cryptographers. Thank you also for helping...
Modern cryptography depends heavily on number theory, with primality test ing, factoring, discrete logarithms (indices), and elliptic curves being per...
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cena:
229,43 |
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Nonarchimedean Functional Analysis
ISBN: 9783642076404 / Angielski / Miękka / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory depends very much on the field being spherically complete or not. To...
This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is p...
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cena:
402,53 |
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Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders
ISBN: 9783540173403 / Angielski / Miękka / 100 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. We begin by making clear the meaning of the term "tame." The higher ramifi cation groups, on the one hand, and the one-units of chain groups, on the other, are to lie in the kernels of the respective representations considered. We shall establish a very natural and very well behaved relationship between representa tions of the two groups mentioned in the title, with all the right properties, and in particular functorial under base change and essentially preserving root numbers. All this will be done in full generality for all principal orders. The formal setup for this also throws new light...
We begin by making clear the meaning of the term "tame." The higher ramifi cation groups, on the one hand, and the one-units of chain groups, on the o...
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cena:
402,53 |
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Post-Quantum Cryptography
ISBN: 9783642100192 / Angielski / Miękka / 246 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Quantum computers will break today's most popular public-key cryptographic systems, including RSA, DSA, and ECDSA. This book introduces the reader to the next generation of cryptographic algorithms, the systems that resist quantum-computer attacks: in particular, post-quantum public-key encryption systems and post-quantum public-key signature systems. Leading experts have joined forces for the first time to explain the state of the art in quantum computing, hash-based cryptography, code-based cryptography, lattice-based cryptography, and multivariate cryptography. Mathematical... Quantum computers will break today's most popular public-key cryptographic systems, including RSA, DSA, and ECDSA. This book introduces the reader ... |
cena:
644,07 |
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Number Mysteries
ISBN: 9780230113848 / Angielski / Miękka / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Every time we download music, take a flight across the Atlantic or talk on our cell phones, we are relying on great mathematical inventions. In The Number Mysteries, one of our generation's foremost mathematicians Marcus du Sautoy offers a playful and accessible examination of numbers and how, despite efforts of the greatest minds, the most fundamental puzzles of nature remain unsolved. Du Sautoy tells about the quest to predict the future--from the flight of asteroids to an impending storm, from bending a ball like Beckham to forecasting population growth. He brings to life the... Every time we download music, take a flight across the Atlantic or talk on our cell phones, we are relying on great mathematical inventions. In ... |
cena:
88,59 |
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Pi: Algorithmen, Computer, Arithmetik
ISBN: 9783540662587 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Ausgehend von der Programmierung moderner Hochleistungsalgorithmen stellen die Autoren das mathematische und programmtechnische Umfeld der Zahl Pi ausfuhrlich dar. So werden zur Berechnung von Pi sowohl die arithmetischen Algorithmen, etwa die FFT-Multiplikation, die super-linear konvergenten Verfahren von Gauss, Brent, Salamin, Borwein, die Formeln von Ramanujan und Borwein-Bailey-Plouffe bis zum neuen Tropfel-Algorithmus behandelt. Der Leser findet viel Anregendes wie auch Skurriles, etwa interessante Anmerkungen zur Quadratur des Kreises. Die beigelegte CD-ROM bietet dem User...
Ausgehend von der Programmierung moderner Hochleistungsalgorithmen stellen die Autoren das mathematische und programmtechnische Umfeld der Zahl Pi aus...
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cena:
225,72 |
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My Search for Ramanujan: How I Learned to Count
ISBN: 9783319255668 / Angielski / Twarda / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father's approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics.
Ono describes his rocky path through college and graduate school, interweaving... "The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and...
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cena:
160,99 |
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Logical Number Theory I: An Introduction
ISBN: 9783540522362 / Angielski / Miękka / 405 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first of a two-volume introduction to logical number theory which deals with recursion theory, first-order logic, completeness, incompleteness and undecidability. The text includes a logical discussion of diophantine decision problems and logico-arithmetical matters.
The first of a two-volume introduction to logical number theory which deals with recursion theory, first-order logic, completeness, incompleteness and...
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cena:
322,01 |
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Advanced Topics in the Arithmetic of Elliptic Curves
ISBN: 9780387943251 / Angielski / Twarda / 528 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
362,27 |
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Field Theory
ISBN: 9781441920959 / Angielski / Miękka / 335 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there....Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all...a well-written expository account of a very exciting area in mathematics." --THE MAA MATHEMATICAL SCIENCES DIGITAL LIBRARY "Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions ... |
cena:
241,50 |
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Quantized Algebra and Physics - Proceedings of the International Workshop
ISBN: 9789814340441 / Angielski / Twarda / 216 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book aims to survey recent developments in quantum algebras and related topics. Quantum groups were introduced by Drinfeld and Jimbo in 1985 in their work on Yang-Baxter equations. The subject from the very beginning has been an interesting one for both mathematics and theoretical physics. For example, Yangian is a special example of quantum group, corresponding to rational solution of Yang-Baxter equation. Viewed as a generalization of the symmetric group, Yangians also have close connections to algebraic combinatorics. This is the proceeding for the International Workshop on Quantized...
The book aims to survey recent developments in quantum algebras and related topics. Quantum groups were introduced by Drinfeld and Jimbo in 1985 in th...
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cena:
396,71 |
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Dialogic Education and Technology: Expanding the Space of Learning
ISBN: 9781441943859 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book empowers people to go beyond themselves into new spheres of learning, thinking and creativity. Drawing on recent work in communications theory as well as psychology, computer science and philosophy, it reveals some key characteristics of learning dialogues. It also demonstrates ways in which computers and networks can deepen, enrich and expand such dialogues. The book s central argument is that this dialogic perspective in education and the latest developments in information and communications technology make ideal partners. "This book empowers people to go beyond themselves into new spheres of learning, thinking and creativity. Drawing on recent work in communications t... |
cena:
523,30 |
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p-Adic Valued Distributions in Mathematical Physics
ISBN: 9789048144761 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Numbers ..., natural, rational, real, complex, p-adic ...What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrational) number before now. I was in the same situation few years ago. p-adic numbers were considered as an exotic part of pure mathematics without any application. I have also used only real and complex numbers in my investigations in functional analysis and its applications to the quantum field theory and I was sure that these number fields can be a basis of every physical model generated by nature. But recently new models of the quantum physics were...
Numbers ..., natural, rational, real, complex, p-adic ...What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrational)...
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cena:
402,53 |
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