DMCA. Copyrighted Work that you can Claim.
Base have 9 939 books.
Search:

ðŸ“™ Basic set theory by S. Shen, N. K. Vereshchagin â€” free pdf

The main notions of set theory (cardinals, ordinals, transfinite induction) are fundamental to all mathematicians, not only to those who specialize in mathematical logic or set-theoretic topology. Basic set theory is generally given a brief overview in courses on analysis, algebra, or topology, even though it is sufficiently important, interesting, and simple to merit its own leisurely treatment.

This book provides just that: a leisurely exposition for a diversified audience. It is suitable for a broad range of readers, from undergraduate students to professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma.

The text introduces all main subjects of "naive" (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, transfinite induction and its applications, ordinals, and operations on ordinals. Included are discussions and proofs of the Cantor-Bernstein Theorem, Cantor's diagonal method, Zorn's Lemma, Zermelo's Theorem, and Hamel bases. With over 150 problems, the book is a complete and accessible introduction to the subject

• File size: 1 704 758
• Format: pdf

Security code:

Similar books results

Fuzzy Set Theory - and Its Applications epub download by Hans-JÃ¼rgen Zimmermann

Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert sys...

Dictionary of Logic as Applied in the Study of Language: Concepts/Methods/Theories free pdf by W. Marciszewski (auth.), Witold Marciszewski PhD (eds.)

1. STRUCTURE AND REFERENCES 1.1. The main part of the dictionary consists of alphabetically arranged articles concerned with basic logical theories and some other selected topics. Within each article a set of concepts is defined in their mutual relations....

Connected Dominating Set: Theory and Applications free download by Ding-Zhu Du, Peng-Jun Wan (auth.)

The connected dominating set has been a classic subject studied in graph theory since 1975. Since the 1990s, it has been found to have important applications in communication networks, especially in wireless networks, as a virtual backbone. Motivated from...

Discrete Mathematics for New Technology, Second Edition free epub by Rowan Garnier, John Taylor

I originally purchased this book because the topics list had a lot of common items with the Praxis test list (for high school math teachers). Although I recognize this is a class textbook somewhere I did not take it in a class and simply used it for sel...

Rough Sets and Current Trends in Computing: 4th International Conference, RSCTC 2004, Uppsala, Sweden, June 1-5, 2004. Proceedings download pdf by ZdzisÅ‚aw Pawlak (auth.), Shusaku Tsumoto, Roman SÅ‚owiÅ„ski, Jan Komorowski, Jerzy W. GrzymaÅ‚a-Busse (eds.)

In recent years rough set theory has attracted the attention of many researchers and practitioners all over the world, who have contributed essentially to its development and applications. Weareobservingagrowingresearchinterestinthefoundationsofroughsets,...

How to Prove It: A Structured Approach download pdf by Daniel J. Velleman

Many mathematics students have trouble the first time they take a course, such as linear algebra, abstract algebra, introductory analysis, or discrete mathematics, in which they are asked to prove various theorems. This textbook will prepare students to...

Introduction Â· to Mathematical Structures and Â· Proofs epub download by Larry J. Gerstein (auth.)

This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. With...

Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory free download by Jaroslav Lukes

This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on ChoquetÂ´s theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay b...

Artificial Intelligence and Computational Intelligence: International Conference, AICI 2009, Shanghai, China, November 7-8, 2009. Proceedings download pdf by Yinhai Zhang, Jinfa Ge, Weixia Liu, Qin Wang (auth.), Hepu Deng, Lanzhou Wang, Fu Lee Wang, Jingsheng Lei (eds.)

This book constitutes the refereed proceedings of the International Conference on Artificial Intelligence and Computational Intelligence, AICI 2009, held in Shanghai, China, on November 7-8, 2009. The 79 revised full papers presented in this volume were c...

Natural Gas Hydrates pdf free by John Carroll

This is the most exhaustive study to date on natural gas hydrates. In spite of their importance, hydrates are misunderstood, and misconceptions abound. This book provides an accurate review of what hydrates are and under what conditions they will form, ...

The neurocutaneous disorders comprise a group of neurological disorders featuring skin lesions and often eye lesions, central and peripheral nervous system tumors, brain malformations, mental retardation, and psychiatric syndromes or seizures. This book p...

Neurology in Clinical Practice Principles of Diagnosis and Management -VOL 1 free pdf by Walter G. Bradley, etc.

This classic text is widely regarded as the world's definitive and authoritative neurology reference. With state-of-the-art explanations of general neurologic principles and relevant neuroscience, the book provides experience approaches to the diagnosis a...

New Millennium Fibers free download by Tatsuya Hongu, Glyn O. Phillips, Machiko Takigami

Looking forward to the future it is clear that today's narrow concept of fiber as a basic element for textiles, ropes and nets will become an outmoded notion. The emphasis will instead shift to new and exciting developments in fiber technology and their a...

Nitrogen in the Environment Sources Problems and Management pdf free by R.F. Follett, J.L. Hatfield

Nitrogen in the Environment: Sources, Problems, and Management is the first volume to provide a holistic perspective and comprehensive treatment of nitrogen from field, to ecosystem, to treatment of urban and rural drinking water supplies, while also in...

Nonionic Surfactants free epub by Martin J. Schick