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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:
443,07 zł |
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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:
1342,83 zł |
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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:
63,26 zł |
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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:
397,80 zł |
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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:
962,79 zł |
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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:
886,78 zł |
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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.... |
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191,76 zł |
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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:
273,63 zł |
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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:
556,94 zł |
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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:
469,39 zł |
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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:
596,73 zł |
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Handbook of Mathematical Induction: Theory and Applications
ISBN: 9781420093643 / Angielski / Twarda / 921 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Enables readers to prove hundreds of mathematical results. This book presents the formal development of natural numbers from axioms, which leads into set theory and transfinite induction. It covers Peano's axioms, weak and strong induction, double induction, infinite descent downward induction, and variants of these inductions.
Enables readers to prove hundreds of mathematical results. This book presents the formal development of natural numbers from axioms, which leads into ...
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cena:
1089,47 zł |
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Diophantus of Alexandria: A Study in the History of Greek Algebra
ISBN: 9781578987542 / Angielski / Miękka / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Reprint. Paperback. 387 pp. Diophantus of Alexandria, sometimes called the father of algebra, was an Alexandrian mathematician and the author of a series of books called Arithmetica. These texts deal with solving algebraic equations, many of which are now lost. In studying Arithmetica, Pierre de Fermat concluded that a certain equation considered by Diophantus had no solutions, and noted without elaboration that he had found a truly marvelous proof of this proposition, now referred to as Fermat's Last Theorem. This led to tremendous advances in number theory, and the study of diophantine...
Reprint. Paperback. 387 pp. Diophantus of Alexandria, sometimes called the father of algebra, was an Alexandrian mathematician and the author of a ser...
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cena:
62,98 zł |
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Theory of Relations: Volume 145
ISBN: 9780444505422 / Angielski / Twarda / 456 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Relation theory originates with Hausdorff (Mengenlehre 1914) and Sierpinski (Nombres transfinis, 1928) with the study of order types, specially among chains = total orders = linear orders. One of its first important problems was partially solved by Dushnik, Miller 1940 who, starting from the chain of reals, obtained an infinite strictly decreasing sequence of chains (of continuum power) with respect to embeddability. In 1948 I conjectured that every strictly decreasing sequence of denumerable chains is finite. This was affirmatively proved by Laver (1968), in the more general case of...
Relation theory originates with Hausdorff (Mengenlehre 1914) and Sierpinski (Nombres transfinis, 1928) with the study of order types, specially among ...
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cena:
755,02 zł |
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Introduction to Cardinal Arithmetic
ISBN: 9783034603270 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the...
This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axio...
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cena:
238,67 zł |
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Combinatory Logic: Pure, Applied and Typed
ISBN: 9781439800003 / Angielski / Twarda / 357 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Combinatory logic is one of the most versatile areas within logic that is tied to parts of philosophical, mathematical, and computational logic. Functioning as a comprehensive source for current developments of combinatory logic, this book is the only one of its kind to cover results of the last four decades. Using a reader-friendly style, the author presents the most up-to-date research studies. She includes an introduction to combinatory logic before progressing to its central theorems and proofs. The text makes intelligent and well-researched connections between combinatory logic and... Combinatory logic is one of the most versatile areas within logic that is tied to parts of philosophical, mathematical, and computational logic. Fu... |
cena:
684,09 zł |
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Lectures in Logic and Set Theory, Volume 2: Set Theory
ISBN: 9780521168489 / Angielski / Miękka / 592 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough context for the presentation of advanced topics (such as absoluteness, relative consistency results, two expositions of Godel's construstive universe, numerous ways of viewing recursion and Cohen forcing).
Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style...
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cena:
412,86 zł |
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Lattice Theory: Foundation
ISBN: 9783034800174 / Angielski / Miękka / 614 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so Lattice Theory: Foundation focuses on introducing the field, laying the...
This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second...
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cena:
338,13 zł |
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The Structure of the Real Line
ISBN: 9783034800051 / Angielski / Twarda / 542 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The rapid development of set theory in the last fifty years, mainly by obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, and descriptive set theory are revisited with the purpose of eliminating superfluous use of an axiom of...
The rapid development of set theory in the last fifty years, mainly by obtaining plenty of independence results, strongly influenced an understanding ...
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cena:
397,80 zł |
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Fuzzy Sets Based Heuristics for Optimization
ISBN: 9783642056116 / Angielski / Miękka / 351 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:
596,73 zł |