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Introductory Concepts for Abstract Mathematics
ISBN: 9781584881346 / Angielski / Twarda / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Introductory Concepts for Abstract Mathematics helps readers bridge th at gap. It teaches them to work with abstract ideas and develop a faci lity with definitions, theorems, and proofs. They learn logical princi ples, and to justify arguments not by what seems right, but by strict adherence to principles of logic and proven mathematical assertions - and they learn to write clearly in the language of mathematics. Introd uctory Concepts for Abstract Mathematics takes readers into the world beyond calculus and ensures their voyage to that world is successful. It imparts a feeling for the beauty...
Introductory Concepts for Abstract Mathematics helps readers bridge th at gap. It teaches them to work with abstract ideas and develop a faci lity wit...
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cena:
538,76 |
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Universal Algebra and Applications in Theoretical Computer Science
ISBN: 9781584882541 / Angielski / Twarda / 383 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Introduces the basic concepts of universal algebra and surveys some of the developments in the field. This book focuses on applications in theoretical computer science and various topics, including Mal'cev conditions, tame congruence theory, clones, and commutators.
Introduces the basic concepts of universal algebra and surveys some of the developments in the field. This book focuses on applications in theoretical...
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cena:
592,88 |
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Algebra, Logic, Set Theory
ISBN: 9781904987284 / Angielski / Twarda / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is both a tribute to Ulrich Felgner's research in algebra, logic, and set theory and a strong research contribution to these areas. Felgner's former students, friends and collaborators have contributed sixteen papers to this volume that highlight the unity of these three fields in the spirit of Ulrich Felgner's own research. The interested reader will find excellent original research surveys and papers that span the field from set theory without the axiom of choice via model-theoretic algebra to the mathematics of intonation.
This volume is both a tribute to Ulrich Felgner's research in algebra, logic, and set theory and a strong research contribution to these areas. Felgne...
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cena:
263,27 |
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Descriptive Theory of Sets and Functions. Functional Analysis in Semi-Ordered Spaces
ISBN: 9782884490122 / Angielski / Twarda / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Kantorovich, the late Nobel Laureate, was a respected mathematical economist, and one of the founding fathers of linear programming. Part I begins with chapters on the theory of sets and real functions. Topics treated include universal functions, W.H. Young's classification, generalized derivatives of continuous functions and the H. Steinhaus problem. The book also includes papers on the theory of projective sets, general and particular methods of the extension of Hilbert space, and linear semi-ordered spaces. The author deals with a number of approximate calculations and solutions including...
Kantorovich, the late Nobel Laureate, was a respected mathematical economist, and one of the founding fathers of linear programming. Part I begins wit...
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cena:
1959,09 |
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Arithmetic and Ontology: A Non-Realist Philosophy of Arithmetic. Edited by Pieranna Garavaso
ISBN: 9789042020474 / Angielski / Twarda / 393 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, i.e., the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widely known realism and anti-realism. Non-realism is characterized by the rejection of a central assumption shared by many realists and anti-realists, i.e., the assumption that mathematical statements purport to refer to objects. The defense of their main argument for the thesis that arithmetic lacks...
This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philoso...
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cena:
522,67 |
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Introduction to Model Theory
ISBN: 9789056993139 / Angielski / Miękka / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect.
This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to... Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in thi...
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cena:
391,77 |
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Mathematical Logic: A Course with Exercises Part II: Recursion Theory, Gödel's Theorems, Set Theory, Model Theory
ISBN: 9780198500506 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the ever-growing importance of computer science. This text is based on a course to undergraduates and provides a clear and accessible introduction to mathematical logic. The concept of model provides the underlying theme, giving the text a theoretical coherence whilst still covering a wide area of logic. The foundations having been laid in Part 1, this book starts with recursion theory, a topic essential...
Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science...
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cena:
481,90 |
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Mathematical Logic: A Course with Exercises Part II: Recursion Theory, Gödel's Theorems, Set Theory, Model Theory
ISBN: 9780198500513 / Angielski / Twarda / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the ever-growing importance of computer science. This text is based on a course to undergraduates and provides a clear and accessible introduction to mathematical logic. The concept of model provides the underlying theme, giving the text a theoretical coherence whilst still covering a wide area of logic. The foundations having been laid in Part 1, this book starts with recursion theory, a topic essential...
Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science...
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cena:
829,89 |
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Algorithms for Fuzzy Clustering: Methods in C-Means Clustering with Applications
ISBN: 9783540787365 / Angielski / Twarda / 247 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Recently many researchers are working on cluster analysis as a main tool for exploratory data analysis and data mining. A notable feature is that specialists in di?erent ?elds of sciences are considering the tool of data clustering to be useful. A major reason is that clustering algorithms and software are ?exible in thesensethatdi?erentmathematicalframeworksareemployedinthealgorithms and a user can select a suitable method according to his application. Moreover clusteringalgorithmshavedi?erentoutputsrangingfromtheolddendrogramsof agglomerativeclustering to more recent self-organizingmaps....
Recently many researchers are working on cluster analysis as a main tool for exploratory data analysis and data mining. A notable feature is that spec...
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cena:
603,81 |
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Polynomial Completeness in Algebraic Systems
ISBN: 9781584882039 / Angielski / Twarda / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Boolean algebras have historically played a special role in the development of the theory of general or "universal" algebraic systems, providing important links between algebra and analysis, set theory, mathematical logic, and computer science. It is not surprising then that focusing on specific properties of Boolean algebras has lead to new directions in universal algebra.
In the first unified study of polynomial completeness, Polynomial Completeness in Algebraic Systems focuses on and systematically extends another specific property of Boolean algebras: the property of affine... Boolean algebras have historically played a special role in the development of the theory of general or "universal" algebraic systems, providing impor...
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cena:
881,59 |
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Recursion Theory: Lecture Notes in Logic 1
ISBN: 9781568811499 / Angielski / Miękka / 96 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Lecture Notes in Logic.
Lecture Notes in Logic.
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cena:
244,84 |
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Logical Labyrinths
ISBN: 9781568814438 / Angielski / Twarda / 327 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author s puzzle books to his technical writing in the fascinating field of mathematical logic. Using the logic of lying and truth-telling, the author introduces the readers to informal reasoning preparing them for the formal study of symbolic logic, from propositional logic to first-order logic, a subject that has many important applications to philosophy, mathematics, and computer science....
This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common languag...
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cena:
587,73 |
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Axiomatic Fuzzy Set Theory and Its Applications
ISBN: 9783642004018 / Angielski / Twarda / 514 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. It is well known that "fuzziness"--informationgranulesand fuzzy sets as one of its formal manifestations-- is one of important characteristics of human cognitionandcomprehensionofreality. Fuzzy phenomena existinnature and are encountered quite vividly within human society. The notion of a fuzzy set has been introduced by L. A., Zadeh in 1965 in order to formalize human concepts, in connection with the representation of human natural language and computing with words. Fuzzy sets and fuzzy logic are used for mod- ing imprecise modes of reasoning that play a pivotal role in the remarkable human...
It is well known that "fuzziness"--informationgranulesand fuzzy sets as one of its formal manifestations-- is one of important characteristics of huma...
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cena:
603,81 |
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The Theory of Sets of Points
ISBN: 9781108005302 / Angielski / Miękka / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of sets, described in the preface to this book as 'Georg Cantor's magnificent theory' was first developed in the 1870s, and was recognised as one of the most important new branches of mathematical science. W. H. Young and his wife Grace Chisholm Young wrote this book, published in 1906, as a 'simple presentation'; but they warn that it is effectively a work in progress: the writing 'has necessarily involved attempts to extend the frontier of existing knowledge, and to fill in gaps which broke the connexion between isolated parts of the subject.' The Young's were a dynamic force in...
The theory of sets, described in the preface to this book as 'Georg Cantor's magnificent theory' was first developed in the 1870s, and was recognised ...
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cena:
266,51 |
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Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets
ISBN: 9789048161492 / Angielski / Miękka / 295 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book is devoted to the theory of pairs of compact convex sets and in particular to the problem of finding different types of minimal representants of a pair of nonempty compact convex subsets of a locally convex vector space in the sense of the Radstrom-Hormander Theory. Minimal pairs of compact convex sets arise naturally in different fields of mathematics, as for instance in non-smooth analysis, set-valued analysis and in the field of combinatorial convexity.
In the first three chapters of the book the basic facts about convexity, mixed volumes and the Radstrom-Hormander lattice are... The book is devoted to the theory of pairs of compact convex sets and in particular to the problem of finding different types of minimal representants...
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cena:
201,24 |
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Reflections on the Foundations of Mathematics: Essays in Honor of Solomon Feferman: Lecture Notes in Logic 15
ISBN: 9781568811697 / Angielski / Twarda / 450 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Solomon Feferman has shaped the field of foundational research for nearly half a century. These papers, most of which were presented at the symposium honoring him at his 70th birthday, reflect his broad interests as well as his approach to foundational research, which places the solution of mathematical and philosophical problems at the top of his agenda. The contributions range from historical to technical to philosophical topics, with emphasis on proof theory and computational aspects.
Solomon Feferman has shaped the field of foundational research for nearly half a century. These papers, most of which were presented at the symposium ...
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cena:
538,76 |
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Defending the Axioms: On the Philosophical Foundations of Set Theory
ISBN: 9780199596188 / Angielski / Twarda / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes them appropriate. In the end, a new account of the objectivity of mathematics emerges, one refreshingly...
Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have...
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cena:
377,50 |
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Axiomatic Fuzzy Set Theory and Its Applications
ISBN: 9783642101465 / Angielski / Miękka / 514 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. It is well known that "fuzziness"--informationgranulesand fuzzy sets as one of its formal manifestations-- is one of important characteristics of human cognitionandcomprehensionofreality. Fuzzy phenomena existinnature and are encountered quite vividly within human society. The notion of a fuzzy set has been introduced by L. A., Zadeh in 1965 in order to formalize human concepts, in connection with the representation of human natural language and computing with words. Fuzzy sets and fuzzy logic are used for mod- ing imprecise modes of reasoning that play a pivotal role in the remarkable human...
It is well known that "fuzziness"--informationgranulesand fuzzy sets as one of its formal manifestations-- is one of important characteristics of huma...
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cena:
603,81 |
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Universal Algebra: Fundamentals and Selected Topics
ISBN: 9781439851296 / Angielski / Twarda / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and understand current research in this field. Based on the author's two-semester course, the text prepares students for research work by providing a solid grounding in the fundamental constructions and concepts of universal algebra and by introducing a variety of recent research topics. The first part of the book focuses on core components, including subalgebras, congruences, lattices, direct and subdirect products,... Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed t... |
cena:
612,21 |
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Nonstandard Analysis
ISBN: 9780486432793 / Angielski / Miękka / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This wonderful little book by Alain Robert should bring about a complete change in the learning of NSA. The author has accomplished a rare feat in the educational literature. He has succeeded in writing a book which is simple and brilliant, deep and witty, short and far-ranging. This is mathematics teaching at its best." J.-M. Levy-Leblond, E"uropean Journal of Physics"
Brief and readable, this introduction to nonstandard analysis is based on the axiomatic IST (internal set theory) approach. The two-part treatment starts with a clear, rigorous exposition of theory, followed by... This wonderful little book by Alain Robert should bring about a complete change in the learning of NSA. The author has accomplished a rare feat in the...
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cena:
57,61 |
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