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Coding the Universe
ISBN: 9780521280402 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Axiomatic set theory is the concern of this book. More particularly, the authors prove results about the coding of models M, of Zermelo-Fraenkel set theory together with the Generalized Continuum Hypothesis by using a class 'forcing' construction. By this method they extend M to another model L a] with the same properties. L a] is Godels universe of 'constructible' sets L, together with a set of integers a which code all the cardinality and cofinality structure of M. Some applications are also considered. Graduate students and research workers in set theory and logic will be especially...
Axiomatic set theory is the concern of this book. More particularly, the authors prove results about the coding of models M, of Zermelo-Fraenkel set t...
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cena:
421,82 |
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Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers by Lotfi a Zadeh
ISBN: 9789810224219 / Angielski / Twarda / 840 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains selected papers written by the founder of fuzzy set theory, Lotfi A. Zadeh. As both founder of, and contributor to, this field, his work contains many of the major ideas in fuzzy set theory, fuzzy logic and fuzzy systems in their historical context.
This volume contains selected papers written by the founder of fuzzy set theory, Lotfi A. Zadeh. As both founder of, and contributor to, this field, h...
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cena:
1292,61 |
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Set Theory and the Continuum Hypothesis
ISBN: 9780486469218 / Angielski / Miękka / 154 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The independence of the continuum hypothesis is the focus of this study by Paul J. Cohen. It presents not only an accessible technical explanation of the author's landmark proof but also a fine introduction to mathematical logic. An emeritus professor of mathematics at Stanford University, Dr. Cohen won two of the most prestigious awards in mathematics: in 1964, he was awarded the American Mathematical Society's Bocher Prize for analysis; and in 1966, he received the Fields Medal for...
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The independence of the continuum hypothesis ...
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cena:
56,98 |
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Partial Covers, Reducts and Decision Rules in Rough Sets: Theory and Applications
ISBN: 9783540690276 / Angielski / Twarda / 152 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph is devoted to theoretical and experimental study of partial reductsandpartialdecisionrulesonthebasisofthestudyofpartialcovers. The use of partial (approximate) reducts and decision rules instead of exact ones allowsustoobtainmorecompactdescriptionofknowledgecontainedindecision tables, andtodesignmorepreciseclassi?ers. Weconsideralgorithmsforconstructionofpartialreductsandpartialdecision rules, boundsonminimalcomplexityofpartialreductsanddecisionrules, and algorithms for construction of the set of all partial reducts and the set of all irreducible partial decision rules. We...
This monograph is devoted to theoretical and experimental study of partial reductsandpartialdecisionrulesonthebasisofthestudyofpartialcovers. The use ...
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cena:
403,47 |
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Set Theory
ISBN: 9781568810447 / Angielski / Twarda / 560 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This research level monograph reflects the current state of the field and provides a reference for graduate students entering the field as well as for established researchers.
This research level monograph reflects the current state of the field and provides a reference for graduate students entering the field as well as for...
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cena:
926,78 |
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Invariant Descriptive Set Theory
ISBN: 9781584887935 / Angielski / Twarda / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Presents Results from a Very Active Area of Research Exploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathematics, such as algebra, topology, and logic, which have diverse applications to other fields. After reviewing classical and effective descriptive set theory, the text studies... Presents Results from a Very Active Area of Research Exploring an active area of mathematics that studies the comp... |
cena:
878,00 |
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Set Theory and Its Logic, Revised Edition (Revised)
ISBN: 9780674802070 / Angielski / Miękka / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an extensively revised edition of Mr. Quine's introduction to abstract set theory and to various axiomatic systematizations of the subject. The treatment of ordinal numbers has been strengthened and much simplified, especially in the theory of transfinite recursions, by adding an axiom and reworking the proofs. Infinite cardinals are treated anew in clearer and fuller terms than before. Improvements have been made all through the book; in various instances a proof has been shortened, a theorem strengthened, a space-saving lemma inserted, an obscurity clarified, an error... This is an extensively revised edition of Mr. Quine's introduction to abstract set theory and to various axiomatic systematizations of the subject.... |
cena:
175,36 |
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Saturated Model Theory (2nd Edition)
ISBN: 9789812833815 / Angielski / Twarda / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains the material for a first course in pure model theory with applications to differentially closed fields. Topics covered in this book include saturated model criteria for model completeness and elimination of quantifiers; Morley rank and degree of element types; categoricity in power; two-cardinal theorems; existence and uniqueness of prime model extensions of substructures of models of totally transcendental theories; and homogeneity of models of ϖ1-categorical theories.
This book contains the material for a first course in pure model theory with applications to differentially closed fields. Topics covered in this book...
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cena:
263,40 |
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The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings
ISBN: 9783540888666 / Angielski / Miękka / 538 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The higher in?nite refers to the lofty reaches of the in?nite cardinalities of set t- ory as charted out by large cardinal hypotheses. These hypotheses posit cardinals that prescribe their own transcendence over smaller cardinals and provide a sup- structure for the analysis of strong propositions. As such they are the rightful heirs to the two main legacies of Georg Cantor, founder of set theory: the extension of number into the in?nite and the investigation of de?nable sets of reals. The investigation of large cardinal hypotheses is indeed a mainstream of modern set theory, and they have...
The higher in?nite refers to the lofty reaches of the in?nite cardinalities of set t- ory as charted out by large cardinal hypotheses. These hypothese...
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cena:
564,88 |
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Descriptive Set Theory and Definable Forcing
ISBN: 9780821834503 / Angielski / Miękka / 141 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Focuses on the relationship between definable forcing and descriptive set theory; the forcing serves as a tool for proving independence of inequalities between cardinal invariants of the continuum.
Focuses on the relationship between definable forcing and descriptive set theory; the forcing serves as a tool for proving independence of inequalitie...
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cena:
317,06 |
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Borel Liftings of Borel Sets - Some Decidable and Undecidable Statements
ISBN: 9780821839713 / Angielski / Miękka / 118 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the aims of this work is to investigate some natural properties of Borel sets which are undecidable in $ZFC$. The authors' starting point is the following elementary, though non-trivial result: Consider $X subset 2omega imes2omega$, set $Y=pi(X)$, where $pi$ denotes the canonical projection of $2omega imes2omega$ onto the first factor, and suppose that $(star)$: Any compact subset of $Y$ is the projection of some compact subset of $X$. If moreover $X$ is $mathbf{Pi 0 2$ then $(starstar)$: The restriction of $pi$ to some relatively closed subset of $X$ is perfect onto $Y$ it follows...
One of the aims of this work is to investigate some natural properties of Borel sets which are undecidable in $ZFC$. The authors' starting point is th...
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cena:
317,06 |
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Nonstandard Models of Arithmetic and Set Theory
ISBN: 9780821835357 / Angielski / Miękka Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD). The volume opens with an essay from Haim Gaifman that probes the concept of non-standardness in mathematics and provides a fascinating mix of historical and philosophical insights into the nature of nonstandard mathematical structures. In particular, Gaifman compares and contrasts the discovery of nonstandard models with other key mathematical innovations, such as the introduction of various number systems, the modern concept of...
This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltim...
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cena:
560,94 |
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Classification and Orbit Equivalence Relations
ISBN: 9780821820025 / Angielski / Twarda Termin realizacji zamówienia: ok. 5-8 dni roboczych. Actions of Polish groups are ubiquitous in mathematics. In certain branches of ergodic theory and functional analysis, one finds a systematic study of the group of measure-preserving transformations and the unitary group. In logic, the analysis of countable models intertwines with results concerning the actions of the infinite symmetric group. This text develops the theory of Polish group actions entirely from scratch, aiming to ultimately present a coherent theory of the resulting orbit equivalence classes that may allow complete classification by invariants of an indicated form. The book...
Actions of Polish groups are ubiquitous in mathematics. In certain branches of ergodic theory and functional analysis, one finds a systematic study of...
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cena:
560,94 |
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Analytic Quotients : Theory of Liftings for Quotients Over Analytic Ideals on the Integers
ISBN: 9780821821176 / Angielski / Miękka / 177 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is intended for graduate students and research mathematicians interested in set theory.
This book is intended for graduate students and research mathematicians interested in set theory.
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cena:
292,67 |
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Discovering Modern Set Theory, Part 1 : The Basics
ISBN: 9780821802663 / Angielski / Twarda / 210 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book bridges the gap between the many elementary introductions to set theory that are available today and the more advanced, specialized monographs. The authors have taken great care to motivate concepts as they are introduced. The large number of exercises included make this book especially suitable for self-study. Students are guided towards their own discoveries in a lighthearted, yet rigorous manner.
This book bridges the gap between the many elementary introductions to set theory that are available today and the more advanced, specialized monograp...
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cena:
429,24 |
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Fuzzy Sets Based Heuristics for Optimization
ISBN: 9783540005513 / Angielski / Twarda / 370 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this volume is to show how Fuzzy Sets and Systems can help to provide robust and adaptive heuristic optimization algorithms in a variety of situations. The book presents the state of the art and gives a broad overview on the real practical applications that Fuzzy Sets, based on heuristic algorithms, have. The aim of this volume is to show how Fuzzy Sets and Systems can help to provide robust and adaptive heuristic optimization algorithms in a variety... |
cena:
605,23 |
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Basic Set Theory
ISBN: 9780821827314 / Angielski / Miękka / 128 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The main notions of set theory (cardinals, ordinals, transfinite induction) are fundamental to all mathematicians, not only to those who specialize in mathematical logic or set-theoretic topology. Basic set theory is generally given a brief overview in courses on analysis, algebra, or topology, even though it is sufficiently important, interesting, and simple to merit its own leisurely treatment.
The main notions of set theory (cardinals, ordinals, transfinite induction) are fundamental to all mathematicians, not only to those who specialize in...
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cena:
214,62 |
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Set Theory : The Hajnal Conference
ISBN: 9780821827864 / Angielski / Twarda / 162 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents the proceedings from the Mid-Atlantic Mathematical Logic Seminar (MAMLS) conference held in honor of Andras Hajnal at the DIMACS Center, Rutgers University (New Brunswick, USA). Articles include both surveys and high-level research papers written by internationally recognized experts in the field of set theory. Many of the current active areas of set theory are represented in this volume. It includes research papers on combinatorial set theory, set theoretic topology, descriptive set theory, and set theoretic algebra. There are valuable surveys on combinatorial set...
This volume presents the proceedings from the Mid-Atlantic Mathematical Logic Seminar (MAMLS) conference held in honor of Andras Hajnal at the DIMACS ...
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cena:
351,20 |
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Algebras of Sets and Combinatorics
ISBN: 9780821827659 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An algebra $A$ on a set $X$ is a family of subsets of this set closed under the operations of union and difference of two subsets. The main topic of the book is the study of various algebras and families of algebras on an abstract set $X$. The author shows how this is related to famous problems by Lebesgue, Banach, and Ulam on the existence of certain measures on abstract sets, with corresponding algebras being algebras of measurable subsets with respect to these measures.
An algebra $A$ on a set $X$ is a family of subsets of this set closed under the operations of union and difference of two subsets. The main topic of t...
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cena:
712,15 |
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Rigidity Theorems for Actions of Product Groups and Countable Borel Equivalence Relations
ISBN: 9780821837719 / Angielski / Miękka / 109 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility, and measures preserving group actions considered up to orbit equivalence. This title catalogs the actions of products of the free group and obtains additional ri
Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility, and measures preserving group actions considered up to ...
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cena:
312,18 |
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