| 000 -LEADER |
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| fixed length control field |
a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
231011b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781107120327 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.322 |
| Item number |
CUN |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Cunningham, Daniel W. |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Set theory : a first course |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Name of publisher, distributor, etc |
Cambridge University Press, |
| Date of publication, distribution, etc |
2016 |
| Place of publication, distribution, etc |
New York : |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 250 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm. |
| 365 ## - TRADE PRICE |
|---|
| Price amount |
45.99 |
| Price type code |
GBP |
| Unit of pricing |
109.80 |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Cambridge mathematical textbooks |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and indexes. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Set theory is a rich and beautiful subject whose fundamental concepts permeate virtually every branch of mathematics. One could say that set theory is a unifying theory for mathematics, since nearly all mathematical concepts and results can be formalized within set theory. This textbook is meant for an upper undergraduate course in set theory. In this text, the fundamentals of abstract sets, including relations, functions, the natural numbers, order, cardinality, transfinite recursion, the axiom of choice, ordinal numbers, and cardinal numbers, are developed within the framework of axiomatic set theory. The reader will need to be comfortable reading and writing mathematical proofs. The proofs in this textbook are rigorous, clear, and complete, while remaining accessible to undergraduates who are new to upper-level mathematics. Exercises are included at the end of each section in a chapter, with useful suggestions for the more challenging exercises. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Cardinal numbers |
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| Topical term or geographic name as entry element |
Ordinal numbers |
|
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| Topical term or geographic name as entry element |
Axiom of choice |
|
|---|
| Topical term or geographic name as entry element |
Transfinite recursion; |
|
|---|
| Topical term or geographic name as entry element |
Abstract sets |
|
|---|
| Topical term or geographic name as entry element |
Axiomatic set theory |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
Books |