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Author : Shwu Yeng T. Lin
Publisher :
ISBN 13 :
Total Pages : 163 pages
Book Rating : 4.:/5 (61 download)
Download or read book Set theory an intuitive approach written by Shwu Yeng T. Lin and published by . This book was released on 1974 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Mirman
Publisher : World Scientific
ISBN 13 : 9789810233655
Total Pages : 494 pages
Book Rating : 4.2/5 (336 download)
Download or read book Group Theory written by R. Mirman and published by World Scientific. This book was released on 1995 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough introduction to group theory, this (highly problem-oriented) book goes deeply into the subject to provide a fuller understanding than available anywhere else. The book aims at, not only teaching the material, but also helping to develop the skills needed by a researcher and teacher, possession of which will be highly advantageous in these very competitive times, particularly for those at the early, insecure, stages of their careers. And it is organized and written to serve as a reference to provide a quick introduction giving the essence and vocabulary useful for those who need only some slight knowledge, those just learning, as well as researchers, and especially for the latter it provides a grasp, and often material and perspective, not otherwise available.
Author : YOU-FENG LIN 외
Publisher :
ISBN 13 : 9788972823537
Total Pages : 312 pages
Book Rating : 4.8/5 (235 download)
Download or read book SET THEORY:AN INTUITIVE APPROACH written by YOU-FENG LIN 외 and published by . This book was released on 1999-09-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shwu Yeng T. Lin
Publisher :
ISBN 13 :
Total Pages : 163 pages
Book Rating : 4.:/5 (61 download)
Download or read book Set theory an intuitive approach written by Shwu Yeng T. Lin and published by . This book was released on 1974 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : José Luis García
Publisher :
ISBN 13 : 9781032584010
Total Pages : 0 pages
Book Rating : 4.5/5 (84 download)
Download or read book Intuitive Axiomatic Set Theory written by José Luis García and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Set theory can be rigorously and profitably studied through an intuitive approach, thus independently of formal logic. Nearly every branch of Mathematics depends upon set theory and thus knowledge of set theory is of interest to every mathematician. This book is addressed to all mathematicians and tries to convince them that this intuitive approach to axiomatic set theory is not only possible, but also valuable"--
Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486497089
Total Pages : 259 pages
Book Rating : 4.4/5 (864 download)
Download or read book A Book of Set Theory written by Charles C Pinter and published by Courier Corporation. This book was released on 2014-07-23 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--
Author : José L Garciá
Publisher : CRC Press
ISBN 13 : 1040006906
Total Pages : 363 pages
Book Rating : 4.0/5 (4 download)
Download or read book Intuitive Axiomatic Set Theory written by José L Garciá and published by CRC Press. This book was released on 2024-04-04 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set theory can be rigorously and profitably studied through an intuitive approach, thus independently of formal logic. Nearly every branch of Mathematics depends upon set theory, and thus, knowledge of set theory is of interest to every mathematician. This book is addressed to all mathematicians and tries to convince them that this intuitive approach to axiomatic set theory is not only possible but also valuable. The book has two parts. The first one presents, from the sole intuition of "collection" and "object", the axiomatic ZFC-theory. Then, we present the basics of the theory: the axioms, well-orderings, ordinals and cardinals are the main subjects of this part. In all, one could say that we give some standard interpretation of set theory, but this standard interpretation results in a multiplicity of universes. The second part of the book deals with the independence proofs of the continuum hypothesis (CH) and the axiom of choice (AC), and forcing is introduced as a necessary tool, and again the theory is developed intuitively, without the use of formal logic. The independence results belong to the metatheory, as they refer to things that cannot be proved, but the greater part of the arguments leading to the independence results, including forcing, are purely set-theoretic. The book is self-contained and accessible to beginners in set theory. There are no prerequisites other than some knowledge of elementary mathematics. Full detailed proofs are given for all the results.
Author : Ronald Mirman
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103167
Total Pages : 490 pages
Book Rating : 4.8/5 (131 download)
Download or read book Group Theory: An Intuitive Approach written by Ronald Mirman and published by World Scientific Publishing Company. This book was released on 1995-06-09 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough introduction to group theory, this (highly problem-oriented) book goes deeply into the subject to provide a fuller understanding than available anywhere else. The book aims at, not only teaching the material, but also helping to develop the skills needed by a researcher and teacher, possession of which will be highly advantageous in these very competitive times, particularly for those at the early, insecure, stages of their careers. And it is organized and written to serve as a reference to provide a quick introduction giving the essence and vocabulary useful for those who need only some slight knowledge, those just learning, as well as researchers, and especially for the latter it provides a grasp, and often material and perspective, not otherwise available.
Author : Paul Benacerraf
Publisher : Cambridge University Press
ISBN 13 : 1107268133
Total Pages : 604 pages
Book Rating : 4.1/5 (72 download)
Download or read book Philosophy of Mathematics written by Paul Benacerraf and published by Cambridge University Press. This book was released on 1984-01-27 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
Author : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886250
Total Pages : 432 pages
Book Rating : 4.8/5 (862 download)
Download or read book Elementary Topology written by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov and published by American Mathematical Soc.. This book was released on with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.
Author : Patrick Suppes
Publisher : Courier Corporation
ISBN 13 : 0486136876
Total Pages : 290 pages
Book Rating : 4.4/5 (861 download)
Download or read book Axiomatic Set Theory written by Patrick Suppes and published by Courier Corporation. This book was released on 2012-05-04 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
Author : Raymond M. Smullyan
Publisher :
ISBN 13 : 9780486474847
Total Pages : 0 pages
Book Rating : 4.4/5 (748 download)
Download or read book Set Theory and the Continuum Problem written by Raymond M. Smullyan and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition.
Author : Abhijit Dasgupta
Publisher : Springer Science & Business Media
ISBN 13 : 1461488540
Total Pages : 434 pages
Book Rating : 4.4/5 (614 download)
Download or read book Set Theory written by Abhijit Dasgupta and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner. To allow flexibility of topic selection in courses, the book is organized into four relatively independent parts with distinct mathematical flavors. Part I begins with the Dedekind–Peano axioms and ends with the construction of the real numbers. The core Cantor–Dedekind theory of cardinals, orders, and ordinals appears in Part II. Part III focuses on the real continuum. Finally, foundational issues and formal axioms are introduced in Part IV. Each part ends with a postscript chapter discussing topics beyond the scope of the main text, ranging from philosophical remarks to glimpses into landmark results of modern set theory such as the resolution of Lusin's problems on projective sets using determinacy of infinite games and large cardinals. Separating the metamathematical issues into an optional fourth part at the end makes this textbook suitable for students interested in any field of mathematics, not just for those planning to specialize in logic or foundations. There is enough material in the text for a year-long course at the upper-undergraduate level. For shorter one-semester or one-quarter courses, a variety of arrangements of topics are possible. The book will be a useful resource for both experts working in a relevant or adjacent area and beginners wanting to learn set theory via self-study.
Author : Felix Munoz-Garcia
Publisher : MIT Press
ISBN 13 : 026234209X
Total Pages : 892 pages
Book Rating : 4.2/5 (623 download)
Download or read book Advanced Microeconomic Theory written by Felix Munoz-Garcia and published by MIT Press. This book was released on 2017-08-11 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to advanced topics in microeconomics that emphasizes the intuition behind assumptions and results, providing examples that show how to apply theory to practice. This textbook offers an introduction to advanced microeconomic theory that emphasizes the intuition behind mathematical assumptions, providing step-by-step examples that show how to apply theoretical models. It covers standard topics such as preference relations, demand theory and applications, producer theory, choice under uncertainty, partial and general equilibrium, monopoly, game theory and imperfect competition, externalities and public goods, and contract theory; but its intuitive and application-oriented approach provides students with a bridge to more technical topics. The book can be used by advanced undergraduates as well as Masters students in economics, finance, and public policy, and by PhD students in programs with an applied focus. The text connects each topic with recent findings in behavioral and experimental economics, and discusses these results in context, within the appropriate chapter. Step-by-step examples appear immediately after the main theoretical findings, and end-of chapter exercises help students understand how to approach similar exercises on their own. An appendix reviews basic mathematical concepts. A separate workbook, Practice Exercises for Advanced Microeconomic Theory, offers solutions to selected problems with detailed explanations. The textbook and workbook together help students improve both their theoretical and practical preparation in advanced microeconomics.
Author : F. William Lawvere
Publisher : Cambridge University Press
ISBN 13 : 9780521010603
Total Pages : 280 pages
Book Rating : 4.0/5 (16 download)
Download or read book Sets for Mathematics written by F. William Lawvere and published by Cambridge University Press. This book was released on 2003-01-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
Author : Michael D. Potter
Publisher :
ISBN 13 : 9780198533993
Total Pages : 0 pages
Book Rating : 4.5/5 (339 download)
Download or read book Sets written by Michael D. Potter and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to set theory in which the author develops the subject from first principles and presupposes little more than an elementary grounding in logic. Throughout much attention is paid to the historical and philosophical background which illuminates the subject's development. This book differs from most by providing a particularly elegant and intuitive approach based on Scott's formulation of standard set theory in which sets are built up stage by stage. This approach has the advantage of introducing the axioms of set theory in a natural way and shows how they come to take the form they do. The book covers all the basic tools of set theory: the natural numbers, cardinals, ordinals, and the axiom of choice in some detail. It also provides an account of the representation theory of lattices and how this is closely connected with the various forms of the axiom of choice.
Author : Terence Tao
Publisher : American Mathematical Soc.
ISBN 13 : 1470466406
Total Pages : 206 pages
Book Rating : 4.4/5 (74 download)
Download or read book An Introduction to Measure Theory written by Terence Tao and published by American Mathematical Soc.. This book was released on 2021-09-03 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
