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Heights of Polynomials and Entropy in Algebraic Dynamics
ISBN: 9781852331252 / Angielski / Twarda / 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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Information and Coding Theory
ISBN: 9781852336226 / Angielski / Miękka / 210 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. As this Preface is being written, the twentieth century is coming to an end. Historians may perhaps come to refer to it as the century of information, just as its predecessor is associated with the process of industrialisation. Successive technological developments such as the telephone, radio, television, computers and the Internet have had profound effects on the way we live. We can see pic tures of the surface of Mars or the early shape of the Universe. The contents of a whole shelf-load of library books can be compressed onto an almost weight less piece of plastic. Billions of people can...
As this Preface is being written, the twentieth century is coming to an end. Historians may perhaps come to refer to it as the century of information,...
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cena:
181,11 |
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An Introduction to Number Theory
ISBN: 9781852339173 / Angielski / Twarda / 316 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject. In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and... An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of ... |
cena:
301,89 |
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Computational Number Theory
ISBN: 9783110123944 / Angielski / Twarda / 355 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The volume is devoted to the interaction of modern scientific computation and classical number theory. The contributions, ranging from effective finiteness results to efficient algorithms in elementary, analytical and algebraic number theory, provide a broad view of the methods and results encountered in the new and rapidly developing area of computational number theory. Topics covered include finite fields, quadratic forms, number fields, modular forms, elliptic curves and diophantine equations. In addition, two new number theoretical software packages, KANT and SIMATH, are described in...
The volume is devoted to the interaction of modern scientific computation and classical number theory. The contributions, ranging from effective finit...
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cena:
467,22 |
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Number Theory: Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference Held in Eger, Hungary, J
ISBN: 9783110153644 / Angielski / Twarda / 612 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications. The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is assoc... |
cena:
973,10 |
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Elliptic Curves: Diophantine Analysis
ISBN: 9783540084891 / Angielski / Twarda / 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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Elliptic Functions
ISBN: 9783540152958 / Angielski / Twarda / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with theta-functions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are function-theoretic, and the next four concern arithmetical applications. There are Notes at the end of every...
This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during t...
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cena:
362,27 |
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Tauberian Theory: A Century of Developments
ISBN: 9783540210580 / Angielski / Twarda / 483 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement surrounding the early results. He shows the fascination of the difficult Hardy-Littlewood theorems and of an unexpected simple proof, and extolls Wiener's breakthrough based on Fourier theory. There are the spectacular "high-indices" theorems and Karamata's "regular variation," which permeates probability theory. The... Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and rema... |
cena:
523,30 |
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Mathematical Modeling for the Life Sciences
ISBN: 9783540253051 / Angielski / Miękka / 168 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. Of course this panoramic study does not claim to offer a detailed and exhaustive view of the many interactions between mathematical models and life sciences. This textbook provides a general overview of realistic mathematical models in life sciences, considering both deterministic and stochastic models and covering dynamical systems, game theory, stochastic processes and statistical methods. Each mathematical... Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the ch... |
cena:
201,24 |
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Modular Forms
ISBN: 9783540295921 / Angielski / Twarda / 338 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substantially for the English edition. It sets out to provide the reader with the basic knowledge of elliptic modular forms necessary to understand the recent developments in number theory. The first part gives the general theory of modular groups, modular forms and Hecke operators, with emphasis on the Hecke-Weil theory of the relation between modular forms and Dirichlet series. The second part is on the unit groups of quaternion algebras, which are... For the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substan... |
cena:
563,56 |
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Discourses on Algebra
ISBN: 9783540422532 / Angielski / Miękka / 279 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. I wish that algebra would be the Cinderella ofour story. In the math- ematics program in schools, geometry has often been the favorite daugh- ter. The amount of geometric knowledge studied in schools is approx- imately equal to the level achieved in ancient Greece and summarized by Euclid in his Elements (third century B. C. ). For a long time, geom- etry was taught according to Euclid; simplified variants have recently appeared. In spite of all the changes introduced in geometry cours- es, geometry retains the influence of Euclid and the inclination of the grandiose scientific revolution...
I wish that algebra would be the Cinderella ofour story. In the math- ematics program in schools, geometry has often been the favorite daugh- ter. The...
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cena:
241,50 |
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Nonarchimedean Functional Analysis
ISBN: 9783540425335 / Angielski / Twarda / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present book is a self-contained text which leads the reader through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. One can observe an increasing interest in methods from nonarchimedean functional analysis, particularly in number theory and in the representation theory of p-adic reductive groups. The book gives a concise and clear account of this theory, it carefully lays the foundations and also develops the more advanced topics. Although the book will be a valuable reference work for experts in the field, it is mainly intended as a...
The present book is a self-contained text which leads the reader through all the important aspects of the theory of locally convex vector spaces over ...
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cena:
402,53 |
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Substitutions in Dynamics, Arithmetics and Combinatorics
ISBN: 9783540441410 / Angielski / Miękka / 404 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure.
The authors describe the concepts of quantity of natural interactions, with combinatorics on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation,... A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both bec...
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cena:
301,89 |
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Hilbert Modular Forms
ISBN: 9783540505860 / Angielski / Twarda / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. In recent times, this branch of number theory has been given more and more attention and thus the need for a comprehensive presentation of these results, previously scattered in research journal papers, has become obvious. The main aim of this book is to give a description of the singular cohomology and its Hodge decomposition including explicit formulae. The author has succeeded in giving proofs which are both elementary and complete.
Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. In recent times, this branch of nu...
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cena:
201,24 |
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Lectures on the Geometry of Numbers
ISBN: 9783540506294 / Angielski / Twarda / 162 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This book offers an introduction to Minkowski's work. It reveals the workings of a remarkable mind, such as Siegel's.
Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardl...
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cena:
201,24 |
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Mathematical Research Today and Tomorrow: Viewpoints of Seven Fields Medalists. Lectures Given at the Institut d'Estudis Catalans, Barcelona, Spain, J
ISBN: 9783540560111 / Angielski / Miękka / 122 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on thedevelopment of their respective research fields. Thecontents of all lectures were collected in the volume, together witha transcription of a round table discussionheld during the Symposium. All papers are expository. Someparts include precise technical statements of recentresults, but the greater part consists of narrative textaddressed to a very broad mathematical public.CONTENTS: R. Thom: Leaving Mathematics for Philosophy.-...
The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gav...
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cena:
140,70 |
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Number Theory III: Diophantine Geometry
ISBN: 9783540612230 / Angielski / Miękka / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the volume. By definition, diophantine problems concern the solutions of equations in integers, or rational numbers, or various generalizations, such as finitely generated rings over Z or finitely generated fields over Q. The word Geometry is tacked on to suggest geometric methods. This means that the present volume is not elementary. For a survey of some basic problems with a much more elementary approach, see La 9Oc]. The field of diophantine...
In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the vol...
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cena:
402,53 |
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Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory
ISBN: 9783540627456 / Angielski / Twarda / 524 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva- ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n:::: 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres....
This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva- ture...
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cena:
523,30 |
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A History of Algorithms: From the Pebble to the Microchip
ISBN: 9783540633693 / Angielski / Miękka / 524 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A Source Book for the History of Mathematics, but one which offers a different perspective by focusinng on algorithms. With the development of computing has come an awakening of interest in algorithms. Often neglected by historians and modern scientists, more concerned with the nature of concepts, algorithmic procedures turn out to have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice.
A Source Book for the History of Mathematics, but one which offers a different perspective by focusinng on algorithms. With the development of computi...
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cena:
402,53 |
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Algebraic Aspects of Cryptography
ISBN: 9783540634461 / Angielski / Twarda / 206 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. ...] Overall, this is an excellent expository text, and will be very useful to both the student and researcher." Mathematical Reviews From the reviews: "This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making i... |
cena:
724,58 |
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