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Algebraic Foundations of Many-Valued Reasoning
ISBN: 9789048153367 / Angielski / Miękka / 233 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewicz and its algebras, Chang's MV -algebras. This book is for self-study: with the possible exception of Chapter 9 on advanced topics, the only prere- quisite for the reader is some acquaintance with classical propositional logic, and elementary algebra and topology. In this book it is not our aim to give an account of Lukasiewicz's motivations for adding new truth values: readers interested in this topic will find appropriate references in Chapter 10....
The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewicz and i...
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403,47 |
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Exercises in Abelian Group Theory
ISBN: 9789048162499 / Angielski / Miękka / 351 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac ulty of Mathematics and Computer Science, 'Babes-Bolyai' University in Cluj-Napoca, Romania. From 1992, these lectures were extended to a twosemester electivecourse on abelian groups for undergraduate stu dents, followed by a twosemester course on the same topic for graduate students in Algebra. All the other authors attended these two years of lectures and are now Assistants to the Chair of Algebra of this Fac ulty. The first draft of this collection,...
This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac ulty of Mathe...
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201,72 |
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Proceedings of the Third International Algebra Conference: June 16-July 1, 2002 Chang Jung Christian University, Tainan, Taiwan
ISBN: 9789048163519 / Angielski / Miękka / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This new proceedings is a collection of papers presenting the recent developments and research in various fields of algebra, especially Lie Algebras, Rings and their related topics undertaken in the U.S.A., Russia, North Asia and Israel. Contributors include E. Zelmanov, the 1994 Fields Medalist, L. Bokut, Gunter F. Pilz, Koichiro Harada, Alexander Kemer, V.K. Kharchenko, L. Makar-Limanov and Louis H. Rowen.
This new proceedings is a collection of papers presenting the recent developments and research in various fields of algebra, especially Lie Algebras, ...
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403,47 |
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Topological and Algebraic Structures in Fuzzy Sets: A Handbook of Recent Developments in the Mathematics of Fuzzy Sets
ISBN: 9789048163786 / Angielski / Miękka / 470 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan dardization of the mathematics of fuzzy sets established in the "Handbook," namely the Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Volume 3 of The Handbooks of Fuzzy Sets Series (Kluwer Academic Publish ers, 1999). Many of the topological chapters of the present work are not only based upon the foundations and notation for topology laid down in the Hand book, but also upon Handbook developments in convergence, uniform...
This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of th...
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605,23 |
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Mal'cev, Protomodular, Homological and Semi-Abelian Categories
ISBN: 9789048165513 / Angielski / Miękka / 480 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory.
The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint... The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and syntheti...
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403,47 |
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Reasoning in Quantum Theory: Sharp and Unsharp Quantum Logics
ISBN: 9789048165629 / Angielski / Miękka / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The most radical aspect of quantum reasoning is reflected in unsharp quantum logics, a special heterodox branch of fuzzy thinking.
For the first time, the whole story of Quantum Logic is told; from its beginnings to the most recent logical investigations of various types of quantum phenomena, including quantum computation. Reasoning in Quantum Theory is designed for logicians, yet amenable to... "Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their str...
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605,23 |
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Supermanifolds and Supergroups: Basic Theory
ISBN: 9789048166329 / Angielski / Miękka / 416 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections. The book requires... Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear... |
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403,47 |
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Algebras, Rings and Modules: Volume 1
ISBN: 9789048167043 / Angielski / Miękka / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Accosiative rings and algebras are very interesting algebraic structures. In a strict sense, the theory of algebras (in particular, noncommutative algebras) originated fromasingleexample, namelythequaternions, createdbySirWilliamR.Hamilton in1843. Thiswasthe?rstexampleofanoncommutative numbersystem . During thenextfortyyearsmathematiciansintroducedotherexamplesofnoncommutative algebras, began to bring some order into them and to single out certain types of algebras for special attention. Thus, low-dimensional algebras, division algebras, and commutative algebras, were classi?ed and...
Accosiative rings and algebras are very interesting algebraic structures. In a strict sense, the theory of algebras (in particular, noncommutative alg...
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403,47 |
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Mathematical Morphology: 40 Years on: Proceedings of the 7th International Symposium on Mathematical Morphology, April 18-20, 2005
ISBN: 9789048168668 / Angielski / Miękka / 490 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematical Morphology is a speciality in Image Processing and Analysis, which considers images as geometrical objects, to be analyzed through their interactions with other geometrical objects. It relies on several branches of mathematics, such as discrete geometry, topology, lattice theory, partial differential equations, integral geometry and geometrical probability. It has produced fast and efficient algorithms for computer analysis of images, and has found applications in bio-medical imaging, materials science, geoscience, remote sensing, quality control, document processing and data... Mathematical Morphology is a speciality in Image Processing and Analysis, which considers images as geometrical objects, to be analyzed through the... |
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403,47 |
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The Heart of Cohomology
ISBN: 9789048172610 / Angielski / Miękka / 191 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family are provided. If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable fu... |
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484,18 |
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Automorphe Formen
ISBN: 9783642123894 / Niemiecki / Miękka / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Das Buch bietet eine Einfuhrung in die Theorie der automorphen Formen. Beginnend bei klassischen Modulformen fuhrt der Autor seine Leser hin zur modernen, darstellungstheoretischen Beschreibung von automorphen Formen und ihren L-Funktionen. Das Hauptgewicht legt er auf den Ubergang von der klassischen, elementaren Sichtweise zu der modernen, durch die Darstellungstheorie begrundete Herangehensweise. Diese Art der Verbindung von klassischer und moderner Sichtweise war in der Lehrbuchliteratur bisher nicht zu finden."
Das Buch bietet eine Einfuhrung in die Theorie der automorphen Formen. Beginnend bei klassischen Modulformen fuhrt der Autor seine Leser hin zur moder...
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113,11 |
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Classical Finite Transformation Semigroups: An Introduction
ISBN: 9781849967686 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed first...
The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on ...
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403,47 |
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Simplicial Methods for Operads and Algebraic Geometry
ISBN: 9783034800518 / Angielski / Miękka / 186 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. It is based on lectures - livered at the Centre de Recerca Matem ati ca in February 2008, as part of a special year on Homotopy Theory and Higher Categories. Ieke Moerdijk's lectures constitute an introduction to the theory ofdendroidal sets, an extension of the theory of simplicial sets designed as a foundation for the homotopy theory of operads. The theory has many features analogous to the theory of simplicial sets, but it also reveals many new...
This book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. It is based ...
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100,67 |
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Groups and Symmetry
ISBN: 9781441930859 / Angielski / Miękka / 187 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Throughout the book, emphasis is placed on concrete examples, often geometrical in nature, so that finite rotation groups and the 17 wallpaper groups are treated in detail alongside theoretical results such as Lagrange's theorem, the Sylow...
Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the ...
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201,56 |
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Categories for the Working Mathematician
ISBN: 9781441931238 / Angielski / Miękka / 317 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence...
Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this bo...
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225,77 |
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L2-Invariants: Theory and Applications to Geometry and K-Theory
ISBN: 9783642078101 / Angielski / Miękka / 595 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. It is particularly these interactions with different fields that make L2-invariants very...
In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group act...
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605,23 |
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Galois Theory of p-Extensions
ISBN: 9783642078170 / Angielski / Miękka / 191 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. First published in German in 1970 and translated into Russian in 1973, this classic now becomes available in English. After introducing the theory of pro-p groups and their cohomology, it discusses presentations of the Galois groups G S of maximal p-extensions of number fields that are unramified outside a given set S of primes. It computes generators and relations as well as the cohomological dimension of some G S, and gives applications to infinite class field towers.The book demonstrates that the cohomology of groups is very useful for studying Galois theory of number fields; at the...
First published in German in 1970 and translated into Russian in 1973, this classic now becomes available in English. After introducing the theory of ...
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484,18 |
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Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras,
ISBN: 9783642084478 / Angielski / Miękka / 365 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.
In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness ob...
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403,47 |
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Hilbert Modular Forms
ISBN: 9783642080722 / Angielski / Miękka / 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. The book contains an introduction to...
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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201,72 |
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The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions
ISBN: 9781441928696 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. I have been very gratified by the response to the first edition, which has resulted in it being sold out. This put some pressure on me to come out with a second edition and now, finally, here it is. The original text has stayed much the same, the major change being in the treatment of the hook formula which is now based on the beautiful Novelli-Pak-Stoyanovskii bijection (NPS 97]. I have also added a chapter on applications of the material from the first edition. This includes Stanley's theory of differential posets (Stn 88, Stn 90] and Fomin's related concept of growths (Fom 86, Fom 94, Fom...
I have been very gratified by the response to the first edition, which has resulted in it being sold out. This put some pressure on me to come out wit...
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221,90 |
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