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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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Resolution of Singularities of Embedded Algebraic Surfaces
ISBN: 9783540637196 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic. The book also provides a self-contained introduction to birational algebraic geometry, based only on basic commutative algebra. In addition, it gives a short proof of analytic desingularization in characteristic zero for any dimension found in 1996 and based on a new avatar of an algorithmic trick employed in the original edition of the book. This new edition will inspire further progress in resolution of singularities of algebraic and...
This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characterist...
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cena:
402,53 |
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Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables
ISBN: 9783540667858 / Angielski / Twarda / 633 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups. The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponen... |
cena:
402,53 |
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Reciprocity Laws: From Euler to Eisenstein
ISBN: 9783540669579 / Angielski / Twarda / 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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Random Curves: Journeys of a Mathematician
ISBN: 9783540740773 / Angielski / Twarda / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Neal Koblitz is a co-inventor of one of the two most popular forms of encryption and digital signature, and his autobiographical memoirs are collected in this volume. Besides his own personal career in mathematics and cryptography, Koblitz details his travels to the Soviet Union, Latin America, Vietnam and elsewhere; political activism; and academic controversies relating to math education, the C. P. Snow "two-culture" problem, and mistreatment of women in academia. These engaging stories fully capture the experiences of a student and later a scientist caught up in the tumultuous events of... Neal Koblitz is a co-inventor of one of the two most popular forms of encryption and digital signature, and his autobiographical memoirs are collec... |
cena:
442,79 |
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Elements of Logic Via Numbers and Sets
ISBN: 9783540761235 / Angielski / Miękka / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using...
In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a f...
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cena:
140,86 |
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Algebraic Approaches to Nuclear Structure: Interacting Boson and Fermion Models
ISBN: 9783718605378 / Angielski / Twarda / 570 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This imponant book presents on approach to understanding the atomic nucleus that exploits simple algebraic techniques. The book focuses primarily on a panicular algebra:ic model, the Interacting Boson Model (IBM); ft outines the algebraic structure, or group theoretical basis, of the IBM and other algebraic models using simple examples. Both the compa6son of the IBM with empirical data and its microscopic basis are explored, as are extensions to odd mass nuclei and to phenomena not onginally encompassed within its purview. An impo@ant final chapter treats fermion algebraic approaches to...
This imponant book presents on approach to understanding the atomic nucleus that exploits simple algebraic techniques. The book focuses primarily on a...
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cena:
1028,53 |
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Algebraic Approaches to Nuclear Structure: Interacting Boson and Fermion Models
ISBN: 9783718605385 / Angielski / Miękka / 570 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Focusing primarily on a particular algebraic model, the Interacting Boson Approximation Model (IBM), this book presents an approach to understanding the atomic nucleus that exploits simple algebraic techniques. It outlines the algebraic structure of the IBM and other algebraic models.
Focusing primarily on a particular algebraic model, the Interacting Boson Approximation Model (IBM), this book presents an approach to understanding t...
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cena:
288,92 |
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Number Theoretic Methods in Cryptography: Complexity Lower Bounds
ISBN: 9783764358884 / Angielski / Twarda / 182 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book introduces new techniques which imply rigorous lower bounds on the complexity of some number theoretic and cryptographic problems. These methods and techniques are based on bounds of character sums and numbers of solutions of some polynomial equations over finite fields and residue rings. It also contains a number of open problems and proposals for further research. We obtain several lower bounds, exponential in terms of logp, on the de grees and orders of polynomials; algebraic functions; Boolean functions; linear recurring sequences; coinciding with values of the discrete logarithm...
The book introduces new techniques which imply rigorous lower bounds on the complexity of some number theoretic and cryptographic problems. These meth...
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cena:
201,24 |
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Subgroup Growth
ISBN: 9783764369897 / Angielski / Twarda / 453 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged. Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in... |
cena:
201,24 |
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Applications of Fibonacci Numbers: Volume 2
ISBN: 9789027726735 / Angielski / Twarda / 217 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains nineteen papers from among the twenty-five papers presented at the Second International Conference on Fibonacci Numbers and Their Applications. These papers have been selected after a careful review by well known referee's in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers are their unifying bond. It is anticipated that this book will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. October 1987 The Editors Gerald E. Bergum South Dakota State...
This book contains nineteen papers from among the twenty-five papers presented at the Second International Conference on Fibonacci Numbers and Their A...
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cena:
402,53 |
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Advances in Algebra and Model Theory: Selected Surveys Presented at Conferences in Essen 1994 and Dresden 1995
ISBN: 9789056991012 / Angielski / Twarda / 512 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian... Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences ...
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cena:
1150,97 |
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Generalization Steinberg Groups
ISBN: 9789810220280 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Steinberg relations are the commutator relations which hold between elementary matrices in a special linear group. This text generalizes these sorts of relations. To encode these relations one needs a ring and a so-called linkage graph which specifies exactly which commutator relations hold. The groups obtained here, called linkage groups, have an enormous number of interesting images, finite and infinite. Among these images are, for example, 25 of the 26 finite sporadic simple groups. The book deals with the structure and classification of linkage groups. Part of the work involves...
The Steinberg relations are the commutator relations which hold between elementary matrices in a special linear group. This text generalizes these sor...
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cena:
445,69 |
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