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In Search of Infinity
ISBN: 9780817638191 / Angielski / Twarda / 146 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in...
The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many ...
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201,72 zł |
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Set Theory: An Introduction
ISBN: 9780817642563 / Angielski / Miękka / 167 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. By its nature, set theory does not depend on any previous mathematical knowl- edge. Hence, an individual wanting to read this book can best find out if he is ready to do so by trying to read the first ten or twenty pages of Chapter 1. As a textbook, the book can serve for a course at the junior or senior level. If a course covers only some of the chapters, the author hopes that the student will read the rest himself in the next year or two. Set theory has always been a sub- ject which people find pleasant to study at least partly by themselves. Chapters 1-7, or perhaps 1-8, present the core...
By its nature, set theory does not depend on any previous mathematical knowl- edge. Hence, an individual wanting to read this book can best find out i...
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201,72 zł |
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Introduction to Set Theory, Revised and Expanded: Third Edition, Revised and Expanded
ISBN: 9780824779153 / Angielski / Twarda / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition covers the basics: relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It also provides five additional self-contained chapters, consolidates the material on real numbers into a single updated chapter affording flexibility in course design, supplies end-of-section problems, with hints, of varying degrees of difficulty, includes new material on normal forms and Goodstein sequences, and adds...
Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition c...
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cena:
486,78 zł |
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Internal Logic: Foundations of Mathematics from Kronecker to Hilbert
ISBN: 9781402006890 / Angielski / Twarda / 251 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer. The book will be of primary interest to logicians,... Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logi... |
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403,47 zł |
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Mal'cev, Protomodular, Homological and Semi-Abelian Categories
ISBN: 9781402019616 / Angielski / Twarda / 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 zł |
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Vicious Circles
ISBN: 9781575860084 / Angielski / Miękka / 390 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Circular analyses of philosophical, linguistic, or computational phenomena have been attacked on the assumption that they conflict with mathematical rigour. Barwise and Moss have undertaken to prove this assumption false. This volume is concerned with extending the modelling capabilities of set theory to provide a uniform treatment of circular phenomena. As a means of guiding the reader through the concrete examples of the theory, the authors have included many exercises and solutions: these exercises range in difficulty and ultimately stimulate the reader to come up with new results. Vicious...
Circular analyses of philosophical, linguistic, or computational phenomena have been attacked on the assumption that they conflict with mathematical r...
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cena:
112,73 zł |
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Computability Theory
ISBN: 9781584882374 / Angielski / Twarda / 420 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Computability theory originated with the seminal work of G/del, Church, Turing, Kleene and Post in the 1930s. This theory includes a wide spectrum of topics, such as the theory of reducibilities and their degree structures, computably enumerable sets and their automorphisms, and subrecursive hierarchy classifications. Recent work in computability theory has focused on Turing definability and promises to have far-reaching mathematical, scientific, and philosophical consequences. Written by a leading researcher, Computability Theory provides a concise, comprehensive, and authoritative...
Computability theory originated with the seminal work of G/del, Church, Turing, Kleene and Post in the 1930s. This theory includes a wide spectrum of ...
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cena:
486,78 zł |
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An Introduction to Random Sets
ISBN: 9781584885191 / Angielski / Twarda / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The study of random sets is a large and rapidly growing area with connections to many areas of mathematics and applications in widely varying disciplines, from economics and decision theory to biostatistics and image analysis. The drawback to such diversity is that the research reports are scattered throughout the literature, with the result that in science and engineering, and even in the statistics community, the topic is not well known and much of the enormous potential of random sets remains untapped.
An Introduction to Random Sets provides a friendly but solid initiation into the... The study of random sets is a large and rapidly growing area with connections to many areas of mathematics and applications in widely varying discipli...
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cena:
705,83 zł |
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Sets, Logic and Categories
ISBN: 9781852330569 / Angielski / Miękka / 182 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Godel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have...
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axi...
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cena:
141,19 zł |
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Inner Models and Large Cardinals
ISBN: 9783110163681 / Angielski / Twarda / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is an introduction to inner model theory, an area of set theory which is concerned with fine structural inner models reflecting large cardinal properties of the set theoretic universe. The monograph contains a detailed presentation of general fine structure theory as well as a modern approach to the construction of small core models, namely those models containing at most one strong cardinal, together with some of their applications. The final part of the book is devoted to a new approach encompassing large inner models which admit many Woodin cardinals. The... This volume is an introduction to inner model theory, an area of set theory which is concerned with fine structural inner models reflecting large c... |
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809,06 zł |
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Fine Structure and Class Forcing
ISBN: 9783110167771 / Angielski / Twarda / 231 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level. The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advan... |
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638,68 zł |
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Fuzzy Sets Theory and Applications
ISBN: 9789027722621 / Angielski / Twarda / 403 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Problems in decision making and in other areas such as pattern recogni- tion, control, structural engineering etc. involve numerous aspects of uncertainty. Additional vagueness is introduced as models become more complex but not necessarily more meaningful by the added details. During the last two decades one has become more and more aware of the fact that not all this uncertainty is of stochastic (random) cha- racter and that, therefore, it can not be modelled appropriately by probability theory. This becomes the more obvious the more we want to represent formally human knowledge. As far as...
Problems in decision making and in other areas such as pattern recogni- tion, control, structural engineering etc. involve numerous aspects of uncerta...
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cena:
605,23 zł |
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Set Theory-An Operational Approach: An Operational Approach
ISBN: 9789056995072 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Presents a novel approach to set theory that is entirely operational. This approach avoids the existential axioms associated with traditional Zermelo-Fraenkel set theory, and provides both a foundation for set theory and a practical approach to learning the subject.
Presents a novel approach to set theory that is entirely operational. This approach avoids the existential axioms associated with traditional Zermelo-...
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cena:
389,37 zł |
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Basic Posets
ISBN: 9789810235895 / Angielski / Twarda / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in a rather informal manner, with interesting examples and computations, which rely on the Hassle diagram to build graphical intuition for the structure of finite posits. The proofs of a small number of theorems is included in the appendix. Important examples especially the Letter N poset, which plays a role akin to that of the Petersen graph in providing a candidate counterexample to many propositions, are used repeatedly throughout the text.
This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in a rather informal manner, with...
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cena:
345,62 zł |
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Tenth Marcel Grossmann Meeting, The: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field The
ISBN: 9789812566676 / Angielski / Twarda / 2636 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Marcel Grossmann meetings were conceived to promote theoretical understanding in the fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. They review recent developments in gravitation and general relativity, with major emphasis on mathematical foundations and physical predictions. Their main objective is to bring together scientists from diverse backgrounds and their range of topics is broad, from more abstract classical theory and quantum gravity and strings to more concrete relativistic astrophysics...
The Marcel Grossmann meetings were conceived to promote theoretical understanding in the fields of physics, mathematics, astronomy and astrophysics an...
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cena:
4064,61 zł |
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Statistical Modeling, Analysis and Management of Fuzzy Data
ISBN: 9783790814408 / Angielski / Twarda / 309 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "Statistical Modeling, Analysis and Management of Fuzzy Data," or SMFD for short, is an important contribution to a better understanding of a basic issue -an issue which has been controversial, and still is though to a lesser degree. In substance, the issue is: are fuzziness and randomness distinct or coextensive facets of uncertainty? Are the theories of fuzziness and random- ness competitive or complementary? In SMFD, these and related issues are addressed with rigor, authority and insight by prominent contributors drawn, in the main, from probability theory, fuzzy set theory and data...
"Statistical Modeling, Analysis and Management of Fuzzy Data," or SMFD for short, is an important contribution to a better understanding of a basic is...
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cena:
403,47 zł |
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Guida Alla Teoria Degli Insiemi
ISBN: 9788847007680 / Włoski / Miękka / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Il libro vuole aiutare a studiare la teoria degli insiemi indicando l'articolazione della teoria, a partire dal concetto di infinito per arrivare alla definizione dei numeri, sia finiti sia infiniti, con la diramazione tra ordinali e cardinali; insiste sulle proprieta degli insiemi numerabili, e sul continuo. Non sostituisce un manuale, perche non ci sono tutte le dimostrazioni ma solo alcune, considerate importanti, che danno il gusto dello stile di questa materia. Ricorda come la teoria sia nata dalle esigenze dell'analisi matematica e come sia legata al problema dei fondamenti;... Il libro vuole aiutare a studiare la teoria degli insiemi indicando l'articolazione della teoria, a partire dal concetto di infinito per arrivare a... |
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153,30 zł |
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Ensembles Ordonnés Finis: Concepts, Résultats Et Usages
ISBN: 9783540737551 / Francuski / Miękka / 342 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Les buts principaux de cet ouvrage qui comble un vide sont de: - donner les concepts et resultats fondamentaux sur les ensembles ordonnes finis, - presenter leurs usages dans des domaines varies (de la RO ou l IA a la micro-economie), - signaler un certain nombre de resultats et de recherches en cours. "
Les buts principaux de cet ouvrage qui comble un vide sont de: - donner les concepts et resultats fondamentaux sur les ensembles ordonnes finis,... |
cena:
201,72 zł |
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The Core Model
ISBN: 9780521285308 / Angielski / Miękka / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The core model, K, is a generalization of Godel's constructible universe of set theory; K is used to produce 'fine structural' results of a less restrictive kind. This book aims to introduce the core model to those with a basic knowledge of axiomatic set theory. The covering lemma for K is the main technical result but other applications are also considered. The author gives a full exposition of general fine structure and of iterated ultrapowers and concludes the work with a short section on the difficulties encountered in constructing more general core models using 'extenders'."
The core model, K, is a generalization of Godel's constructible universe of set theory; K is used to produce 'fine structural' results of a less restr...
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cena:
342,99 zł |
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Set Theory for the Working Mathematician
ISBN: 9780521594417 / Angielski / Twarda / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of "modern" set theory:...
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous app...
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cena:
596,59 zł |
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