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Numerical Range: The Field of Values of Linear Operators and Matrices
ISBN: 9780387948355 / Angielski / Miękka / 190 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in linear algebra. This subject and its extensions to infinite dimen- sions comprise the theory of the numerical range W(T). There are two competing names for W(T), namely, the numerical range of T and the field of values for T. The former has been favored historically by the func- tional analysis community, the latter by the matrix analysis community. It is a toss-up to...
The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the oppo...
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cena:
321,86 |
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Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry
ISBN: 9780387955520 / Angielski / Twarda / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises. This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arith... |
cena:
422,66 |
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Discrete Mathematics: Elementary and Beyond
ISBN: 9780387955841 / Angielski / Twarda / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can be helpful, and what kinds of questions mathematicians work on. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number... Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear progra... |
cena:
281,76 |
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Binary Quadratic Forms: Classical Theory and Modern Computations
ISBN: 9780387970370 / Angielski / Twarda / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega, nt and abstract theory which, unfortunately, is not computationally explicit. In recent years the original theory has been laid aside. Gauss's proofs, which involved brute force computations that can...
The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth ce...
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cena:
603,81 |
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Coding and Information Theory
ISBN: 9780387978123 / Angielski / Twarda / 488 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory...
This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probabi...
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cena:
342,14 |
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Introduction to Elliptic Curves and Modular Forms
ISBN: 9780387979663 / Angielski / Twarda / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. At the same time I want to introduce topics which are at the forefront of current research. Down-to-earth examples are given in the text and exercises, with the aim of making the material readable and interesting to mathematicians...
This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "...
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cena:
221,21 |
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Sphere Packings
ISBN: 9780387987941 / Angielski / Twarda / 242 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Sphere packings is one of the most fascinating and challenging subjects in mathematics. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with other subjects found. This book gives a full account of this fascinating subject, especially its local aspects, discrete aspects, and its proof methods. The book includes both classical and contemporary results and provides a full treatment of the subject.
Sphere packings is one of the most fascinating and challenging subjects in mathematics. In the course of centuries, many exciting results have been ob...
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cena:
201,24 |
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Handbook of Coding Theory: Part 2: Connections, Part 3: Applications Volume II
ISBN: 9780444500878 / Angielski / Twarda / 1028 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The second volume of this work contains Parts 2 and 3 of the "Handbook of Coding Theory." Part 2, "Connections," is devoted to connections between coding theory and other branches of mathematics and computer science. Part 3, "Applications," deals with a variety of applications for coding. The second volume of this work contains Parts 2 and 3 of the "Handbook of Coding Theory." Part 2, "Connections," is devoted to connections between ... |
cena:
955,06 |
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Relation Algebras: Volume 150
ISBN: 9780444520135 / Angielski / Twarda / 731 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The modern theory of algebras of binary relations, reformulated by Tarski as an abstract, algebraic, equational theory of relation algebras, has considerable mathematical significance, with applications in various fields: e.g., in computer science---databases, specification theory, AI---and in anthropology, economics, physics, and philosophical logic. This comprehensive treatment of the theory of relation algebras and the calculus of relations is the first devoted to a systematic development of the subject.
The modern theory of algebras of binary relations, reformulated by Tarski as an abstract, algebraic, equational theory of relation algebras, has co... |
cena:
1355,03 |
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Mathematical History of the Golden Number
ISBN: 9780486400075 / Angielski / Miękka / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first complete, in-depth study of the origins of division in extreme and mean ratio (DEMR)-"the Golden Number"-this text charts every aspect of this important mathematical concept's historic development, from its first unequivocal appearance in Euclid's Elements through the 18th century. The first complete, in-depth study of the origins of division in extreme and mean ratio (DEMR)-"the Golden Number"-this text charts every aspect of... |
cena:
69,17 |
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Topoi: The Categorial Analysis of Logic
ISBN: 9780486450261 / Angielski / Miękka / 592 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A classic introduction to mathematical logic from the perspective of category theory, this text is suitable for advanced undergraduates and graduate students and accessible to both philosophically and mathematically oriented readers. Its approach moves always from the particular to the general, following through the steps of the abstraction process until the abstract concept emerges naturally.
Beginning with a survey of set theory and its role in mathematics, the text proceeds to definitions and examples of categories and explains the use of arrows in place of set-membership. The... A classic introduction to mathematical logic from the perspective of category theory, this text is suitable for advanced undergraduates and graduate s...
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cena:
115,42 |
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The Number System
ISBN: 9780486458069 / Angielski / Miękka / 134 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts and their logical development.
This volume's great merit lies in its wealth of explanatory material, designed to promote an informal and intuitive understanding of the rigorous logical approach to the number system. The first part explains and comments on axioms and definitions, making their... The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding...
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cena:
38,35 |
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Continued Fractions
ISBN: 9780486696300 / Angielski / Miękka / 106 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this elementary-level text, eminent Soviet mathematician A. Ya. Khinchin offers a superb introduction to the positive-integral elements of the theory of continued functions, a special algorithm that is one of the most important tools in analysis, probability theory, mechanics, and, especially, number theory.
Presented in a clear, straightforward manner, the book comprises three major chapters: the properties of the apparatus, the representation of numbers by continued fractions and the measure theory of continued fractions. The last chapter is somewhat more advanced and deals with the... In this elementary-level text, eminent Soviet mathematician A. Ya. Khinchin offers a superb introduction to the positive-integral elements of the theo...
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cena:
34,49 |
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Computability: An Introduction to Recursive Function Theory
ISBN: 9780521294652 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. What can computers do in principle? What are their inherent theoretical limitations? These are questions to which computer scientists must address themselves. The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function: intuitively a function whose values can be calculated in an effective or automatic way. This book is an introduction to computability theory (or recursion theory as it is traditionally known to mathematicians). Dr Cutland begins with a mathematical characterisation of computable...
What can computers do in principle? What are their inherent theoretical limitations? These are questions to which computer scientists must address the...
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cena:
256,86 |
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Local Fields
ISBN: 9780521315258 / Angielski / Miękka / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the use of this and other local fields pervades much of mathematics, yet these simple and natural concepts, which often provide remarkably easy solutions to complex problems, are not as familiar as they should be. This book, based on postgraduate lectures at Cambridge, is meant to rectify this situation by providing a fairly elementary and self-contained introduction to local fields. After a general introduction, attention centres on the p-adic...
The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the us...
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cena:
317,17 |
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
ISBN: 9780521361347 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional...
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebr...
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cena:
516,69 |
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Some Applications of Modular Forms
ISBN: 9780521402453 / Angielski / Twarda / 124 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of modular forms and especially the so-called Ramanujan Conjectures have recently been applied to resolve problems in combinatorics, computer science, analysis, and number theory. Professor Sarnak begins by developing the necessary background material in modular forms. He then considers in detail the solution of three problems: the Rusiewisz problem concerning finitely additive rotationally invariant measures on the sphere; the explicit construction of highly connected but sparse graphs, e.g. expander graphs and Ramanujan graphs; and the Linnik problem concerning the distribution...
The theory of modular forms and especially the so-called Ramanujan Conjectures have recently been applied to resolve problems in combinatorics, comput...
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cena:
539,90 |
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Lectures on Elliptic Curves
ISBN: 9780521425308 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Wei finite basis theorem, points of finite order (Nagell-Lutz), etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to...
The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in nu...
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cena:
182,62 |
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Metric Diophantine Approximation on Manifolds
ISBN: 9780521432757 / Angielski / Twarda / 186 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume explores Diophantine approximation on smooth manifolds embedded in Euclidean space, developing a coherent body of theory comparable to that of classical Diophantine approximation. In particular, the book deals with Khintchine-type theorems and with the Hausdorff dimension of the associated null sets. After setting out the necessary background material, the authors give a full discussion of Hausdorff dimension and its uses in Diophantine approximation. They employ a wide range of techniques from the number theory arsenal to obtain the upper and lower bounds required, highlighting...
This volume explores Diophantine approximation on smooth manifolds embedded in Euclidean space, developing a coherent body of theory comparable to tha...
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cena:
539,90 |
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Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence
ISBN: 9780521470612 / Angielski / Twarda / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Cohomology of Drinfeld Modular Varieties aims to provide an introduction to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This...
Cohomology of Drinfeld Modular Varieties aims to provide an introduction to this subject and to the Langlands correspondence for function fields. Thes...
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cena:
628,06 |
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