A Book of Set Theory PDF Download
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Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486497089
Category : Mathematics
Languages : en
Pages : 259
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Book Description
"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: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486497089
Category : Mathematics
Languages : en
Pages : 259
Get Book Here
Book Description
"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: F. William Lawvere
Publisher: Cambridge University Press
ISBN: 9780521010603
Category : Mathematics
Languages : en
Pages : 280
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Book Description
In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
Author: Joseph Breuer
Publisher: Courier Corporation
ISBN: 0486154874
Category : Mathematics
Languages : en
Pages : 130
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Book Description
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.
Author: Mark Bennett
Publisher: Black Dog & Leventhal
ISBN:
Category : Performing Arts
Languages : en
Pages : 152
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Book Description
Author and artist Mark Bennett compiles his entertaining collection of blueprints extrapolated from the storylines and sets of the 1950s to 1980s television sitcom homes millions of Americans grew up with. An extraordinary work of imagination, these blueprints of TV homes that are as familiar to us as our neighbor's den and backyard give us a fascinating "real life" view that the camera angles never offered. From Ward and June Cleaver's house to Rob and Laura Petrie's apartment to Mary Richards's Minneapolis bachelorette apartment to the Jetson's "house" in the clouds, each home is lovingly recreated with painstaking precision in the fine blue lines of architectural blueprints.
Author: Steven R. Lay
Publisher: Courier Corporation
ISBN: 0486458032
Category : Mathematics
Languages : en
Pages : 260
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Book Description
Suitable for advanced undergraduates and graduate students, this text introduces the broad scope of convexity. It leads students to open questions and unsolved problems, and it highlights diverse applications. Author Steven R. Lay, Professor of Mathematics at Lee University in Tennessee, reinforces his teachings with numerous examples, plus exercises with hints and answers. The first three chapters form the foundation for all that follows, starting with a review of the fundamentals of linear algebra and topology. They also survey the development and applications of relationships between hyperplanes and convex sets. Subsequent chapters are relatively self-contained, each focusing on a particular aspect or application of convex sets. Topics include characterizations of convex sets, polytopes, duality, optimization, and convex functions. Hints, solutions, and references for the exercises appear at the back of the book.
Author: Bernd Schröder
Publisher: Birkhäuser
ISBN: 3319297880
Category : Mathematics
Languages : en
Pages : 426
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Book Description
An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.
Author: Kenneth Anderson
Publisher: Courier Corporation
ISBN: 0486158128
Category : Mathematics
Languages : en
Pages : 210
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Book Description
This text bridges the gap between beginning and advanced calculus. It offers a systematic development of the real number system and careful treatment of mappings, sequences, limits, continuity, and metric spaces. 1963 edition.
Author: Ian Anderson
Publisher: Courier Corporation
ISBN: 9780486422572
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Among other subjects explored are the Clements-Lindström extension of the Kruskal-Katona theorem to multisets and the Greene-Kleitmen result concerning k-saturated chain partitions of general partially ordered sets. Includes exercises and solutions.
Author: Ilya Molchanov
Publisher: Springer Science & Business Media
ISBN: 1846281504
Category : Mathematics
Languages : en
Pages : 501
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Book Description
This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine
Author: Joshua Cook
Publisher:
ISBN: 9781073606276
Category :
Languages : en
Pages : 32
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Book Description
This is a children's book designed to introduce students to set theory, with an emphasis on strange concepts like empty sets, infinite sets, uncountable infinite sets, and more. This book is designed to make kids ask questions about math and set theory, not answer them. So if you don't want more questions, don't buy this. This book does explain what it easily can about set theory, it just introduces more things than it has time to explain! This book introduces abstract mathematics. Not counting, arithmetic, shapes, geometry, or even statistics. This isn't a book about science, physics, technology, or biology. It is a math book. It introduces fundamental math concepts in a visually appealing and gentle way without getting too hung up on the details. Normally set theory at this level is reserved for college, or a few lucky high school classes. This is not without reason: set theory is mostly used in proofs which are not often given to students until college. But proofs are just formal explanations for why things are true. Many US students only see proofs in geometry where set theory is not needed and the proofs are unlikely to be useful in the future: even if they pursue a stem degree. This may be sufficient for high school algebra, but leaves students unprepared and ignorant of what college level math is really like. Teaching students proper set theory is difficult, especially children, but just the basics can be the difference between being able to formally explain a proof or not. This book gives a resource to help introduce these concepts to children, even if it is not a complete resource. QUOTES Scott Aaronson: "It's extremely cute. It strikes me as a much better version of "New Math," which was an effort in the 1960s to start elementary school kids off on the right foot by teaching them about subsets, super sets, power sets, etc." FAQ Who should buy this book? Parents who want to encourage their children to learn more about math. Parents who are willing to learn with their children when they ask questions (unless you are a mathematician, this likely touches on some concepts you don't know or haven't thought about in a while). Teachers brave enough to introduce set theory or more esoteric concepts to their students. Children who want a pretty looking picture book that insists on some strange and peculiar things. Who should not buy this book? People who don't want to answer hard questions. People who don't want to help children with new vocabulary (it does its best to avoid technical terms, but some still made it in). People who have don't like their intuitions questioned. How much does this cover? It has 25 illustrated pages covering about one concept per page. It has a few extra non picture pages of context as well. It covers basic set operations, goes up to infinity even discussing some of the weird quirks of infinity, discusses how to build pairs out of sets, and more. It does not define functions, set builder notation, or logic in general. Can I use this as a textbook to teach set theory? NO! This is a brief gentle introduction to set theory. Someone should make a much longer set theory book if we want to actually teach this to elementary grade children. This would be doable, but would require a very different style than this book. Will this help my kid learn algebra (arithmetic, etc)? Probably not, unless someone is trying to prove why algebra and arithmetic work to them! What is set theory useful for? Simply put: math. But this also includes Computer Science (like data structures and algorithms), statistics, chemistry, physics, philosophy, and most kinds of engineering. If you want to prove something mathematically, you need set theory.
