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Set Theory For Beginners
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Book Synopsis Set Theory for Beginners by : Steve Warner
Download or read book Set Theory for Beginners written by Steve Warner and published by . This book was released on 2019-02-18 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Set Theory for BeginnersSet Theory for Beginners consists of a series of basic to intermediate lessons in set theory. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Set Theory for Beginners is perfect for professors teaching an undergraduate course or basic graduate course in set theory high school teachers working with advanced math students students wishing to see the type of mathematics they would be exposed to as a math major. The material in this pure math book includes: 16 lessons consisting of basic to intermediate topics in set theory and mathematical logic. A problem set after each lesson arranged by difficulty level. A complete solution guide is included as a downloadable PDF file. Set Theory Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction Lesson 1 - Sets Lesson 2 - Subsets Lesson 3 - Operations on Sets Lesson 4 - Relations Lesson 5 - Equivalence Relations and Partitions Lesson 6 - Functions Lesson 7 - Equinumerosity Lesson 8 - Induction and Recursion on N Lesson 9 - Propositional Logic Lesson 10 - First-order Logic Lesson 11 - Axiomatic Set Theory Lesson 12 - Ordinals Lesson 13 - Cardinals Lesson 14 - Martin's Axiom Lesson 15 - The Field of Real Numbers Lesson 16 - Clubs and Stationary Sets
Book Synopsis Introduction to the Theory of Sets by : Joseph Breuer
Download or read book Introduction to the Theory of Sets written by Joseph Breuer and published by Courier Corporation. This book was released on 2012-08-09 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition.
Book Synopsis A Book of Set Theory by : Charles C Pinter
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"--
Book Synopsis Discovering Modern Set Theory. I: The Basics by : Winfried Just
Download or read book Discovering Modern Set Theory. I: The Basics written by Winfried Just and published by American Mathematical Soc.. This book was released on 1996 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gap between the many elementary introductions to set theory that are available today and the more advanced, specialized monographs. The authors have taken great care to motivate concepts as they are introduced. The large number of exercises included make this book especially suitable for self-study. Students are guided towards their own discoveries in a lighthearted, yet rigorous manner.
Book Synopsis Classic Set Theory by : D.C. Goldrei
Download or read book Classic Set Theory written by D.C. Goldrei and published by Routledge. This book was released on 2017-09-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbersDefining natural numbers in terms of setsThe potential paradoxes in set theoryThe Zermelo-Fraenkel axioms for set theoryThe axiom of choiceThe arithmetic of ordered setsCantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed.Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.
Book Synopsis Introduction to Set Theory by : Karel Hrbacek
Download or read book Introduction to Set Theory written by Karel Hrbacek and published by . This book was released on 1984 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Fuzzy Set Theory written by R. Lowen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 which would treat the entire range of results concerning the basic theoretical concepts in great detail and which would also deal with all possible variants and alternatives of the theory, such as e. g. rough sets and L-fuzzy sets for arbitrary lattices L, with the possibility-probability theories and interpretations, with the foundation of fuzzy set theory via multi-valued logic or via categorical methods and so on, would have been an altogether different project. This book is far more modest in its mathematical content and in its scope.
Book Synopsis Set Theory by : Daniel W. Cunningham
Download or read book Set Theory written by Daniel W. Cunningham and published by Cambridge University Press. This book was released on 2016-07-18 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set theory can be considered a unifying theory for mathematics. This book covers the fundamentals of the subject.
Book Synopsis Set Theory for Beginners - Solution Guide by : Steve Warner
Download or read book Set Theory for Beginners - Solution Guide written by Steve Warner and published by . This book was released on 2019-11-09 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set Theory for Beginners - Solution GuideThis book contains complete solutions to the problems in the 16 Problem Sets in Set Theory for Beginners. Note that this book references examples and theorems from Set Theory for Beginners. Therefore, it is strongly suggested that you purchase a copy of that book before purchasing this one.
Book Synopsis Visual Group Theory by : Nathan Carter
Download or read book Visual Group Theory written by Nathan Carter and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.
Book Synopsis Pure Mathematics for Beginners by : Steve Warner
Download or read book Pure Mathematics for Beginners written by Steve Warner and published by . This book was released on 2018-09-25 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pure Mathematics for Beginners Pure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. The 16 lessons in this book cover basic through intermediate material from each of these 8 topics. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Pure Mathematics for Beginners is perfect for professors teaching an introductory college course in higher mathematics high school teachers working with advanced math students students wishing to see the type of mathematics they would be exposed to as a math major. The material in this pure math book includes: 16 lessons in 8 subject areas. A problem set after each lesson arranged by difficulty level. A complete solution guide is included as a downloadable PDF file. Pure Math Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction Lesson 1 - Logic: Statements and Truth Lesson 2 - Set Theory: Sets and Subsets Lesson 3 - Abstract Algebra: Semigroups, Monoids, and Groups Lesson 4 - Number Theory: Ring of Integers Lesson 5 - Real Analysis: The Complete Ordered Field of Reals Lesson 6 - Topology: The Topology of R Lesson 7 - Complex Analysis: The field of Complex Numbers Lesson 8 - Linear Algebra: Vector Spaces Lesson 9 - Logic: Logical Arguments Lesson 10 - Set Theory: Relations and Functions Lesson 11 - Abstract Algebra: Structures and Homomorphisms Lesson 12 - Number Theory: Primes, GCD, and LCM Lesson 13 - Real Analysis: Limits and Continuity Lesson 14 - Topology: Spaces and Homeomorphisms Lesson 15 - Complex Analysis: Complex Valued Functions Lesson 16 - Linear Algebra: Linear Transformations
Book Synopsis Introduction to Modern Set Theory by : Judith Roitman
Download or read book Introduction to Modern Set Theory written by Judith Roitman and published by John Wiley & Sons. This book was released on 1990-01-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is modern set theory from the ground up--from partial orderings and well-ordered sets to models, infinite cobinatorics and large cardinals. The approach is unique, providing rigorous treatment of basic set-theoretic methods, while integrating advanced material such as independence results, throughout. The presentation incorporates much interesting historical material and no background in mathematical logic is assumed. Treatment is self-contained, featuring theorem proofs supported by diagrams, examples and exercises. Includes applications of set theory to other branches of mathematics.
Book Synopsis Elements of Set Theory by : Herbert B. Enderton
Download or read book Elements of Set Theory written by Herbert B. Enderton and published by Academic Press. This book was released on 1977-05-23 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
Book Synopsis Set Theory for Pre-Beginners by : Steve Warner
Download or read book Set Theory for Pre-Beginners written by Steve Warner and published by . This book was released on 2019-12-28 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set Theory for Pre-BeginnersSet Theory for Pre-Beginners consists of a series of lessons in set theory. The 8 lessons in this book cover elementary material from this subject. A "pre-beginner" is a math student that is ready to start learning some more advanced mathematics, but is not quite ready to dive into proofwriting. Set Theory for Pre-Beginners is perfect for students wishing to begin learning advanced mathematics, but that are not quite ready to start writing proofs. high school teachers that want to expose their students to the ideas of advanced mathematics without getting into mathematical rigor. professors that wish to introduce higher mathematics to non-stem majors. The material in this set theory book includes: 8 lessons in 8 subject areas. Examples and exercises throughout each lesson. A problem set after each lesson arranged by difficulty level. A complete solution guide is included as a downloadable PDF file. Pure Math Pre-Beginner Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction Lesson 1 - Sets and Subsets Lesson 2 - Operations on Sets Lesson 3 - Relations Lesson 4 - Equivalence Relations and Partitions Lesson 5 - Functions Lesson 6 - Equinumerosity Lesson 7 - Logic and Axioms Lesson 8 - Ordinals and Cardinals
Download or read book Computability written by Nigel Cutland and published by Cambridge University Press. This book was released on 1980-06-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.
Book Synopsis Basic Category Theory by : Tom Leinster
Download or read book Basic Category Theory written by Tom Leinster and published by Cambridge University Press. This book was released on 2014-07-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short introduction ideal for students learning category theory for the first time.
