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The Joy of Sets: Fundamentals of Contemporary Set Theory
ISBN: 9781461269410 / Angielski / Miękka / 194 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela- tion', 'function', etc.,...
This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is...
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cena:
225,77 |
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Nonlinear Stochastic Integrators, Equations and Flows
ISBN: 9782881247330 / Angielski / Twarda / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph aims to present and develop a general theory of stochastic integration where the integral is a non-linear function of the integrand. A discussion of the theory and corresponding stochastic calculus is given, providing a generalization of the works of Sznitman on L2-martingales, Le Jan and Watanabe on smooth martingales and Futjiwara and Kunita on the integral with respect to Levy processes.
This monograph aims to present and develop a general theory of stochastic integration where the integral is a non-linear function of the integrand. A ...
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cena:
926,78 |
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The Joy of Set: The Many Mathematical Dimensions of a Seemingly Simple Card Game
ISBN: 9780691166148 / Angielski / Twarda / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Have you ever played the addictive card game SET? Have you ever wondered about the connections between games and mathematics? If the answer to either question is "yes," then The Joy of SET is the book for you The Joy of SET takes readers on a fascinating journey into this seemingly simple card game and reveals its surprisingly deep and diverse mathematical dimensions. Absolutely no mathematical background is necessary to enjoy this book--all you need is a sense of curiosity and adventure Originally invented in 1974 by Marsha Falco and officially released in 1991, SET... Have you ever played the addictive card game SET? Have you ever wondered about the connections between games and mathematics? If the answer to eith... |
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128,36 |
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Topological Spaces: From Distance to Neighborhood
ISBN: 9781461268628 / Angielski / Miękka / 313 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the...
gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into...
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cena:
201,72 |
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Incompletetude Na Terra DOS Conjuntos
ISBN: 9781848901094 / Portugalski / Miękka / 178 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Apresentam-se os teoremas fundamentais de incompletude e indecidibilidade da logica matematica no contexto da teoria de conjuntos. Os resultados correspondentes para a aritmetica conseguemse obter facilmente a partir destes e sao tambem apresentados. Evita-se, em geral, o recurso a enumeracao de Godel, exceto quando se estabelece uma relacao explicita entre a teoria de conjuntos e a aritmetica. Este livro nao pressupoe muitos conhecimentos previos por parte do leitor. Apenas se pede alguma maturidade matematica, alguma familiaridade com logica formal e que o leitor conheca o teorema da...
Apresentam-se os teoremas fundamentais de incompletude e indecidibilidade da logica matematica no contexto da teoria de conjuntos. Os resultados corre...
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cena:
84,16 |
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Schaum's Outline of Set Theory and Related Topics
ISBN: 9780070381599 / Angielski / Miękka / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you
Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students ... |
cena:
111,75 |
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Goedel's Way: Exploits Into an Undecidable World
ISBN: 9780415690850 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Kurt Godel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical logician of the 20th century, with his contributions extending to Einstein's general relativity, as he proved that Einstein's theory allows for time machines. The Godel incompleteness theorem - the usual formal mathematical systems cannot prove nor disprove all true mathematical sentences - is frequently presented in textbooks as something that happens in the rarefied realms of mathematical logic, and that has nothing to do...Kurt Godel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical ... |
cena:
243,84 |
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Wadge Degrees and Projective Ordinals
ISBN: 9780521762038 / Angielski / Twarda / 548 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The most seminal collection of papers of descriptive set theory reprinted and put into the modern research context.
The most seminal collection of papers of descriptive set theory reprinted and put into the modern research context.
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cena:
685,60 |
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Canonical Ramsey Theory on Polish Spaces
ISBN: 9781107026858 / Angielski / Twarda / 278 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book lays the foundations for an exciting new area of research in descriptive set theory. It develops a robust connection between two active topics: forcing and analytic equivalence relations. This in turn allows the authors to develop a generalization of classical Ramsey theory. Given an analytic equivalence relation on a Polish space, can one find a large subset of the space on which it has a simple form? The book provides many positive and negative general answers to this question. The proofs feature proper forcing and Gandy Harrington forcing, as well as partition arguments. The...
This book lays the foundations for an exciting new area of research in descriptive set theory. It develops a robust connection between two active topi...
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cena:
537,73 |
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The Functional Interpretation of Logical Deduction
ISBN: 9789814360951 / Angielski / Twarda / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, this book allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems.
By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, this book allows mathematical foun...
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cena:
443,88 |
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Infinity and Truth
ISBN: 9789814571036 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the nature of mathematical truth and how does one resolve questions that are formally unsolvable within the Zermelo-Fraenkel Set Theory with the Axiom of Choice, and (ii) Do the discoveries in...
This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of ...
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cena:
273,16 |
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Notes on Forcing Axioms
ISBN: 9789814571579 / Angielski / Twarda / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the Open Mapping Theorem or the Banach-Steinhaus Boundedness Principle. This volume brings the Baire category method to another level of sophistication via the internal version of the set-theoretic forcing technique. It is the first systematic account of applications of the higher forcing axioms with the stress on the technique of building forcing notions...
In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in ma...
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cena:
302,42 |
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Understanding the Many
ISBN: 9780415866880 / Angielski / Miękka / 112 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
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cena:
273,11 |
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Introduction to Axiomatic Set Theory
ISBN: 9781461381709 / Angielski / Miękka / 246 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con- sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the...
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con-...
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cena:
342,95 |
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Functional Interpretations: From the Dialectica Interpretation to Functional Interpretations of Analysis and Set Theory
ISBN: 9789814551397 / Angielski / Twarda / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel's Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Regular functional interpretations, i.e. Dialectica and Diller-Nahm interpretation as well as Kreisel's modified realization, together with their Troelstra-style hybrids, are applied to...
This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel�...
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cena:
439,01 |
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Forcing for Mathematicians
ISBN: 9789814566001 / Angielski / Twarda / 152 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general mathematical community as a subject of great intrinsic interest but one that is technically so forbidding that it is only accessible to specialists. In the past decade, a series of remarkable solutions to long-standing problems in C*-algebra using set-theoretic methods, many achieved by the author and his collaborators, have renewed interest in this subject. This is the first book aimed at explaining...
Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set t...
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cena:
263,40 |
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Logic, Construction, Computation
ISBN: 9783110324532 / Angielski / Twarda / 542 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Over the last few decades the interest of logicians and mathematicians in constructive and computational aspects of their subjects has been steadily growing, and researchers from disparate areas realized that they can benefit enormously from the mutual exchange of techniques concerned with those aspects. A key figure in this exciting development is the logician and mathematician Helmut Schwichtenberg to whom this volume is dedicated on the occasion of his 70th birthday and his turning emeritus. The volume contains 20 articles from leading experts about recent developments in Constructive... Over the last few decades the interest of logicians and mathematicians in constructive and computational aspects of their subjects has been steadil... |
cena:
1107,42 |
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The Logic of Infinity
ISBN: 9781107678668 / Angielski / Miękka / 498 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets which was born in the decades that followed. Written for the motivated novice, this book provides an overview of key ideas in set theory, bridging the gap between technical accounts of mathematical foundations and popular accounts of logic. Readers will learn of the formal construction of the classical number systems, from the natural numbers to the real numbers and beyond, and see how set theory has...
Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the d...
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cena:
232,73 |
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Proof Theory: Sequent Calculi and Related Formalisms
ISBN: 9781466564664 / Angielski / Twarda / 386 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi for various non-classical logics, from intuitionistic logic to relevance logic, linear logic, and modal logic. In the first chapters, the author emphasizes classical logic and a variety of different sequent calculi for classical and... Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. ... |
cena:
536,56 |
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Intuitionistic Set Theory
ISBN: 9781848901407 / Angielski / Miękka / 134 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. While intuitionistic (or constructive) set theory IST has received a certain attention from mathematical logicians, so far as I am aware no book providing a systematic introduction to the subject has yet been published. This may be the case in part because, as a form of higher-order intuitionistic logic - the internal logic of a topos - IST has been chiefly developed in a tops-theoretic context. In particular, proofs of relative consistency with IST for mathematical assertions have been (implicitly) formulated in topos- or sheaf-theoretic terms, rather than in the framework of...
While intuitionistic (or constructive) set theory IST has received a certain attention from mathematical logicians, so far as I am aware no book provi...
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cena:
84,16 |
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