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An Introduction to Mathematical Reasoning: Numbers, Sets and Functions
ISBN: 9780521592697 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually...
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathema...
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485,91 zł |
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Set Theory
ISBN: 9780521593441 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a classic introduction to set theory, suitable for students with no previous knowledge of the subject. Providing complete, up-to-date coverage, the book is based in large part on courses given over many years by Professor Hajnal. The first part introduces all the standard notions of the subject; the second part concentrates on combinatorial set theory. Exercises are included throughout and a new section of hints has been added to assist the reader.
This is a classic introduction to set theory, suitable for students with no previous knowledge of the subject. Providing complete, up-to-date coverage...
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573,53 zł |
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Set Theory for the Working Mathematician
ISBN: 9780521594653 / Angielski / Miękka / 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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227,66 zł |
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Set Theory
ISBN: 9780521596671 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a classic introduction to set theory, suitable for students with no previous knowledge of the subject. Providing complete, up-to-date coverage, the book is based in large part on courses given over many years by Professor Hajnal. The first part introduces all the standard notions of the subject; the second part concentrates on combinatorial set theory. Exercises are included throughout and a new section of hints has been added to assist the reader.
This is a classic introduction to set theory, suitable for students with no previous knowledge of the subject. Providing complete, up-to-date coverage...
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cena:
310,66 zł |
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Groups St Andrews 1997 in Bath: Volume 2
ISBN: 9780521655767 / Angielski / Miękka / 372 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This two-volume book contains selected papers from the international conference "Groups St. Andrews 1997 in Bath." The articles are arranged in roughly alphabetical order and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles contributed by other conference participants. Proceedings of earlier "Groups St. Andrews" conferences have had a major impact on the development of group theory and these volumes should be equally important.
This two-volume book contains selected papers from the international conference "Groups St. Andrews 1997 in Bath." The articles are arranged in roughl...
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333,72 zł |
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
ISBN: 9780521655958 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The focus of this book is geometric properties of general sets and measures in Euclidean spaces. Applications of this theory include fractal-type objects, such as strange attractors for dynamical systems, and those fractals used as models in the sciences. The author provides a firm and unified foundation for the subject and develops all the main tools used in its study, such as covering theorems, Hausdorff measures and their relations to Riesz capacities and Fourier transforms. The last third of the book is devoted to the Besicovitch-Federer theory of rectifiable sets, which form in a sense...
The focus of this book is geometric properties of general sets and measures in Euclidean spaces. Applications of this theory include fractal-type obje...
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cena:
370,62 zł |
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The Foundations of Mathematics in the Theory of Sets
ISBN: 9780521770347 / Angielski / Twarda / 446 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of "natural number" and "set." The book contains an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, and the analysis of proof by induction and definition by recursion. The book should appeal to both philosophers and mathematicians with an interest in the foundations of...
This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is ...
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cena:
624,26 zł |
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Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents
ISBN: 9780521832588 / Angielski / Twarda / 528 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the theory of dynamical systems with nonzero Lyapunov exponents, offering a rigorous mathematical foundation for deterministic chaos - the appearance of "chaotic" motions in pure deterministic dynamical systems. These ideas and methods are used in many areas of mathematics as well as in physics, biology, and engineering. Despite the substantial amount of research on the subject, there have been relatively few attempts to summarize and unify results in a single manuscript. This comprehensive book can be used as a reference or as a supplement to an advanced course on...
This book presents the theory of dynamical systems with nonzero Lyapunov exponents, offering a rigorous mathematical foundation for deterministic chao...
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684,20 zł |
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The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model
ISBN: 9780521839204 / Angielski / Twarda / 198 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book explores a new axiom of set theory--CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms. It is true in the iterated Sacks model and actually captures the combinatorial core of this model. A plethora of results known to be true in the Sacks model easily follow from CPA. Replacing iterated forcing arguments with deductions from CPAs simplifies proofs, provides deeper insight, and leads to new results. Researchers who use set theory in their work will find much of interest in this book.
This book explores a new axiom of set theory--CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms. It is true in the iterate...
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cena:
536,63 zł |
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Forcing Idealized
ISBN: 9780521874267 / Angielski / Twarda / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book unites descriptive set theory and definable proper forcing and explores the relations between them. Both forcing and descriptive set theory are explained independently, their sub-areas described, following their commitment to each other. Containing original research, this text highlights the connections that forcing makes with other areas of mathematics, and is essential reading for academic researchers and graduate students in set theory, abstract analysis, and measure theory.
This book unites descriptive set theory and definable proper forcing and explores the relations between them. Both forcing and descriptive set theory ...
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cena:
536,63 zł |
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Georg Cantor: His Mathematics and Philosophy of the Infinite
ISBN: 9780691024479 / Angielski / Miękka / 424 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly... One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution i... |
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350,48 zł |
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Selectors
ISBN: 9780691096285 / Angielski / Twarda / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. This book is the first to assemble the scattered literature into a coherent and elegant presentation of what is known and proven about selectors--and what remains to be found. The authors focus on selection theorems that are related to the axiom of choice, particularly selectors of small Borel or Baire classes. After examining some of the relevant work of Michael and Kuratowski & Ryll-Nardzewski and presenting background material, the... Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. ... |
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462,44 zł |
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Applications of Category Theory to Fuzzy Subsets
ISBN: 9780792315117 / Angielski / Twarda / 398 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria. First, this volume is an extended account of the eleventh Seminar of 1989. Second, and more importantly, it is the culmination of the tradition of the preceding ten Seminars. The purpose of the Linz Seminar, since its inception, was and is to foster the development of the mathematical aspects of fuzzy sets. In the earlier years, this was accomplished by bringing together for a week small grou ps of mathematicians in various fields in an intimate, focused environment...
This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria. First, this volume is ...
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cena:
806,99 zł |
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Fuzzy Set Theory: Basic Concepts, Techniques and Bibliography
ISBN: 9780792340577 / Angielski / Twarda / 408 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this book is to provide the reader who is interested in applications of fuzzy set theory, in the first place with a text to which he or she can refer for the basic theoretical ideas, concepts and techniques in this field and in the second place with a vast and up to date account of the literature. Although there are now many books about fuzzy set theory, and mainly about its applications, e. g. in control theory, there is not really a book available which introduces the elementary theory of fuzzy sets, in what I would like to call "a good degree of generality." To write a book...
The purpose of this book is to provide the reader who is interested in applications of fuzzy set theory, in the first place with a text to which he or...
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cena:
403,47 zł |
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Set Theory: Techniques and Applications Curaçao 1995 and Barcelona 1996 Conferences
ISBN: 9780792349051 / Angielski / Twarda / 226 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophisticated techniques to problems in analysis, topology, infinitary combinatorics and other areas of mathematics. This book contains a selection of contributions, some of which are expository in nature, embracing various aspects of the latest developments. Amongst topics treated are forcing axioms and their applications, combinatorial principles used to construct models, and a variety of other set theoretical tools including inner models, partitions...
During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophistica...
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cena:
403,47 zł |
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Applications of Point Set Theory in Real Analysis
ISBN: 9780792349792 / Angielski / Twarda / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the real line. Notice that various topics from this theory are presented in several books and surveys. From among the most important works devoted to Point Set Theory, let us first of all mention the excellent book by Oxtoby 83] in which a deep analogy between measure and category is discussed in detail. Further, an interesting general approach to problems concerning measure and category is developed in the well-known monograph by Morgan 79] where a...
This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the re...
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cena:
403,47 zł |
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Design Considerations of Time in Fuzzy Systems
ISBN: 9780792361008 / Angielski / Twarda / 475 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Fuzzy theory is an interesting name for a method that has been highly effective in a wide variety of significant, real-world applications. A few examples make this readily apparent. As the result of a faulty design the method of computer-programmed trading, the biggest stock market crash in history was triggered by a small fraction of a percent change in the interest rate in a Western European country. A fuzzy theory ap- proach would have weighed a number of relevant variables and the ranges of values for each of these variables. Another example, which is rather simple but pervasive, is that...
Fuzzy theory is an interesting name for a method that has been highly effective in a wide variety of significant, real-world applications. A few examp...
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cena:
806,99 zł |
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Fundamentals of Fuzzy Sets
ISBN: 9780792377320 / Angielski / Twarda / 647 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field.
The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews... Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as w...
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cena:
605,23 zł |
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Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory
ISBN: 9780792383888 / Angielski / Twarda / 716 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform for future research. Fourteen chapters are organized into three parts: mathematical logic and foundations (Chapters 1-2), general topology (Chapters 3-10), and measure and probability theory (Chapters 11-14).
Chapter 1 deals with non-classical logics and their syntactic and semantic... Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzz...
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cena:
1210,50 zł |
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An Introduction to Fuzzy Logic Applications in Intelligent Systems
ISBN: 9780792391913 / Angielski / Twarda / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An Introduction to Fuzzy Logic Applications in Intelligent Systems consists of a collection of chapters written by leading experts in the field of fuzzy sets. Each chapter addresses an area where fuzzy sets have been applied to situations broadly related to intelligent systems.
The volume provides an introduction to and an overview of recent applications of fuzzy sets to various areas of intelligent systems. Its purpose is to provide information and easy access for people new to the field. The book also serves as an excellent reference for researchers in the field and those... An Introduction to Fuzzy Logic Applications in Intelligent Systems consists of a collection of chapters written by leading experts in the fie...
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cena:
806,99 zł |
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