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Applications of Number Theory to Numerical Analysis
ISBN: 9783642678318 / Angielski / Miękka / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Owing to the developments and applications of computer science, ma thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. The progress achieved has been both important practically as well as satisfactory from the theoretical view point. It'or example, from the seventeenth century till now, a great deal of effort was made in developing methods for approximating single integrals and there were only a few works on multiple quadrature until the 1950's. But in the past twenty years, a number of new methods have been devised...
Owing to the developments and applications of computer science, ma thematicians began to take a serious interest in the applications of number theory ...
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cena:
201,24 |
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Introduction to Number Theory
ISBN: 9783642681325 / Angielski / Miękka / 574 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. to Number Theory Translated from the Chinese by Peter Shiu With 14 Figures Springer-Verlag Berlin Heidelberg New York 1982 HuaLooKeng Institute of Mathematics Academia Sinica Beijing The People's Republic of China PeterShlu Department of Mathematics University of Technology Loughborough Leicestershire LE 11 3 TU United Kingdom ISBN -13 : 978-3-642-68132-5 e-ISBN -13 : 978-3-642-68130-1 DOl: 10.1007/978-3-642-68130-1 Library of Congress Cataloging in Publication Data. Hua, Loo-Keng, 1910 -. Introduc- tion to number theory. Translation of: Shu lun tao yin. Bibliography: p. Includes index. 1....
to Number Theory Translated from the Chinese by Peter Shiu With 14 Figures Springer-Verlag Berlin Heidelberg New York 1982 HuaLooKeng Institute of Mat...
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cena:
402,53 |
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Galois Module Structure of Algebraic Integers
ISBN: 9783642688188 / Angielski / Miękka / 266 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this volume we present a survey of the theory of Galois module structure for rings of algebraic integers. This theory has experienced a rapid growth in the last ten to twelve years, acquiring mathematical depth and significance and leading to new insights also in other branches of algebraic number theory. The decisive take-off point was the discovery of its connection with Artin L-functions. We shall concentrate on the topic which has been at the centre of this development, namely the global module structure for tame Galois extensions of numberfields -in other words of extensions with...
In this volume we present a survey of the theory of Galois module structure for rings of algebraic integers. This theory has experienced a rapid growt...
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cena:
201,24 |
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Quadratic and Hermitian Forms
ISBN: 9783642699733 / Angielski / Miękka / 422 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For a long time - at least from Fermat to Minkowski - the theory of quadratic forms was a part of number theory. Much of the best work of the great number theorists of the eighteenth and nineteenth century was concerned with problems about quadratic forms. On the basis of their work, Minkowski, Siegel, Hasse, Eichler and many others crea ted the impressive "arithmetic" theory of quadratic forms, which has been the object of the well-known books by Bachmann (1898/1923), Eichler (1952), and O'Meara (1963). Parallel to this development the ideas of abstract algebra and abstract linear algebra...
For a long time - at least from Fermat to Minkowski - the theory of quadratic forms was a part of number theory. Much of the best work of the great nu...
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563,56 |
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Quadratic Forms and Hecke Operators
ISBN: 9783642703430 / Angielski / Miękka / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The numerous explicit formulae of the classical theory of quadratic forms revealed remarkable multiplicative properties of the numbers of integral representations of integers by positive definite integral quadratic forms. These properties were explained by the original theory of Hecke operators. As regards the integral representations of quadratic forms in more than one variable by quadratic forms, no multiplicative properties were known at that time, and so there was nothing to explain. However, the idea of Hecke operators was so natural and attractive that soon attempts were made to...
The numerous explicit formulae of the classical theory of quadratic forms revealed remarkable multiplicative properties of the numbers of integral rep...
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cena:
483,04 |
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Quadratic and Hermitian Forms over Rings
ISBN: 9783642754036 / Angielski / Miękka / 524 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the theory of quadratic and hermitian forms over rings in a very general setting. It avoids, as far as possible, any restriction on the characteristic and takes full advantage of the functorial properties of the theory. It is not an encyclopedic survey. It stresses the algebraic aspects of the theory and avoids - within reason - overlapping with other books on quadratic forms (like those of Lam, Milnor-Husemoller and Scharlau). One important tool is descent theory with the corresponding cohomological machinery. It is used to define the classical invariants of quadratic...
This book presents the theory of quadratic and hermitian forms over rings in a very general setting. It avoids, as far as possible, any restriction on...
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cena:
483,04 |
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Class Field Theory
ISBN: 9783642824678 / Angielski / Miękka / 142 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Class field theory, which is so immediately compelling in its main assertions, has, ever since its invention, suffered from the fact that its proofs have required a complicated and, by comparison with the results, rather imper- spicuous system of arguments which have tended to jump around all over the place. My earlier presentation of the theory [41] has strengthened me in the belief that a highly elaborate mechanism, such as, for example, cohomol- ogy, might not be adequate for a number-theoretical law admitting a very direct formulation, and that the truth of such a law must be susceptible...
Class field theory, which is so immediately compelling in its main assertions, has, ever since its invention, suffered from the fact that its proofs h...
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cena:
322,01 |
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Ergodic Properties of Algebraic Fields
ISBN: 9783642866333 / Angielski / Miękka / 194 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The applications of ergodic theory to metric number theory are well known; part of the latter theory turns out to be essentially a special case of general ergodic theorems. In the present book other applications of ergodic concepts are presented. Constructing "flows" of integral points on certain algebraic manifolds given by systems of integral polynomials, we are able to prove individual ergodic theorems and mixing theorems in certain cases. These theorems permit asymptotic calculations of the distributions of integral points on such manifolds, and we arrive at results inaccessible up to now...
The applications of ergodic theory to metric number theory are well known; part of the latter theory turns out to be essentially a special case of gen...
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cena:
201,24 |
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Multiscale Potential Theory: With Applications to Geoscience
ISBN: 9781461273950 / Angielski / Miękka / 510 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Neglected in favor of more abstract theories, it has been taught primarily where instructors have ac- tively engaged in research in this field. This situation has resulted in a scarcity of English language books of standard shape, size, and quality covering potential theory. The current book attempts to fill that gap in the literature. Since the rapid development of high-speed computers, the remarkable progress in highly advanced electronic measurement concepts, and, most of...
During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Neglected in favor of more abst...
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cena:
201,24 |
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Hidden Harmony--Geometric Fantasies: The Rise of Complex Function Theory
ISBN: 9781461457244 / Angielski / Twarda / 848 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject - Cauchy, Riemann, and Weierstrass - it looks at the contributions of authors from d'Alembert to Hilbert, and Laplace to Weyl. Particular chapters examine the rise and importance of elliptic function theory,... This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. ... |
cena:
925,87 |
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Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models
ISBN: 9789401071642 / Angielski / Miękka / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work can be recommended as an extensive course on p-adic mathematics, treating subjects such as a p-adic theory of probability and stochastic processes; spectral theory of operators in non-Archimedean Hilbert spaces; dynamic systems; p-adic fractal dimension, infinite-dimensional analysis and Feynman integration based on the Albeverio-Hoegh-Kr hn approach; both linear and nonlinear differential and pseudo-differential equations; complexity of random sequences and a p-adic description of chaos. Also, the present volume explores the unique concept of using fields of p-adic numbers and...
This work can be recommended as an extensive course on p-adic mathematics, treating subjects such as a p-adic theory of probability and stochastic pro...
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cena:
402,53 |
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Arithmetic of Quadratic Forms
ISBN: 9781461426189 / Angielski / Miękka / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book can be divided into two parts. The ?rst part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. The raison d' DEGREES etre of the book is in the second part, and so let us ?rst explain the contents of the second part. There are two principal topics: (A) Classi?cation of quadratic forms; (B) Quadratic Diophantine equations. Topic (A) can be further divided into two types of theories: (a1) Classi?cation over an algebraic number ?eld; (a2) Classi?cation over the ring of algebraic integers. To classify a quadratic form ? over an algebraic...
This book can be divided into two parts. The ?rst part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. T...
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cena:
684,33 |
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Class Number Parity
ISBN: 9789971506698 / Angielski / Twarda / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
308,55 |
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Coding Theory and Cryptology
ISBN: 9789812384508 / Angielski / Miękka / 460 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
210,60 |
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Ergodic Theory: With a View Towards Number Theory
ISBN: 9781447125914 / Angielski / Miękka / 481 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text is a rigorous introduction to Ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. It describes some recent applications to number theory, and goes beyond the standard texts in this topic.
This text is a rigorous introduction to Ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. It ...
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cena:
261,63 |
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Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication
ISBN: 9781118390184 / Angielski / Miękka / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An exciting approach to the history and mathematics of number theory -. . . the author's style is totally lucid and very easy to read . . .the result is indeed a wonderful story.- --Mathematical Reviews An exciting approach to the history and mathematics of number theory -. . . the author's style is totally lucid and very easy to read... |
cena:
267,82 |
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A Course in Number Theory and Cryptography
ISBN: 9781461264422 / Angielski / Miękka / 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:
201,09 |
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Ramanujan's Notebooks: Part IV
ISBN: 9781461269328 / Angielski / Miękka / 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:
724,58 |
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Ramanujan's Notebooks: Part III
ISBN: 9781461269632 / Angielski / Miękka / 510 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the time period between 1903 and 1914, Ramanujan worked in almost complete isolation in India. Throughout these years, he recorded his mathematical results without proofs in notebooks. Upon Ramanujan's death in 1920, G.H. Hardy strongly urged that Ramanujan's notebooks be published and edited. The English mathematicians G.N. Watson and B.M. Wilson began this task in 1929, but although they devoted nearly ten years to the project, the work was never completed. In 1957, the Tata Institute of Fundamental Research in Bombay published a photostat edition of the notebooks, but no editing was...
During the time period between 1903 and 1914, Ramanujan worked in almost complete isolation in India. Throughout these years, he recorded his mathemat...
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cena:
1006,38 |
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Cyclotomic Fields I and II
ISBN: 9781461269724 / Angielski / Miękka / 436 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a combined edition of the books previously published as "Cyclotomic Fields, Vol. I and II." It continues to provide a basic introduction to the theory of these number fields, which are of great interest in classical number theory, as well as in other areas, such as K-theory. Cyclotomic Fields begins with basic material on character sums, and proceeds to treat class number formulas, p-adic L-functions, Iwasawa theory, Lubin-Tate theory, and explicit reciprocity laws, and the Ferrero-Washington theorems, which prove Iwasawa's conjecture on the growth of the p-primary part of the...
This book is a combined edition of the books previously published as "Cyclotomic Fields, Vol. I and II." It continues to provide a basic introduction ...
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cena:
241,50 |
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