Introduction to Axiomatic Set Theory

Introduction to Axiomatic Set Theory

Author: G. Takeuti

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 251

ISBN-13: 1461381681

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In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high lighted, and second, the student who wishes to master the subject is com pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.


Book Synopsis Introduction to Axiomatic Set Theory by : G. Takeuti

Download or read book Introduction to Axiomatic Set Theory written by G. Takeuti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high lighted, and second, the student who wishes to master the subject is com pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.


More Than Freedom

More Than Freedom

Author: Stephen Kantrowitz

Publisher: Penguin

Published: 2013-07-30

Total Pages: 530

ISBN-13: 0143123440

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A major new account of the Northern movement to establish African Americans as full citizens before, during, and after the Civil War In More Than Freedom, award-winning historian Stephen Kantrowitz offers a bold rethinking of the Civil War era. Kantrowitz show how the fight to abolish slavery was always part of a much broader campaign by African Americans to claim full citizenship and to remake the white republic into a place where they could belong. More Than Freedom chronicles this epic struggle through the lives of black and white abolitionists in and around Boston, including Frederick Douglass, Senator Charles Sumner, and lesser known but equally important figures. Their bold actions helped bring about the Civil War, set the stage for Reconstruction, and left the nation forever altered.


Book Synopsis More Than Freedom by : Stephen Kantrowitz

Download or read book More Than Freedom written by Stephen Kantrowitz and published by Penguin. This book was released on 2013-07-30 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major new account of the Northern movement to establish African Americans as full citizens before, during, and after the Civil War In More Than Freedom, award-winning historian Stephen Kantrowitz offers a bold rethinking of the Civil War era. Kantrowitz show how the fight to abolish slavery was always part of a much broader campaign by African Americans to claim full citizenship and to remake the white republic into a place where they could belong. More Than Freedom chronicles this epic struggle through the lives of black and white abolitionists in and around Boston, including Frederick Douglass, Senator Charles Sumner, and lesser known but equally important figures. Their bold actions helped bring about the Civil War, set the stage for Reconstruction, and left the nation forever altered.


Quick Bibliography Series

Quick Bibliography Series

Author:

Publisher:

Published: 1976

Total Pages: 614

ISBN-13:

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Book Synopsis Quick Bibliography Series by :

Download or read book Quick Bibliography Series written by and published by . This book was released on 1976 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Public Health Bibliography Series

Public Health Bibliography Series

Author:

Publisher:

Published: 1951

Total Pages: 158

ISBN-13:

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Book Synopsis Public Health Bibliography Series by :

Download or read book Public Health Bibliography Series written by and published by . This book was released on 1951 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:


The Korean War

The Korean War

Author: Allan R Millett

Publisher: U of Nebraska Press

Published: 2007-08-01

Total Pages: 0

ISBN-13: 1574889761

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The bibliography includes references in English, Korean, Russian, and Chinese."--BOOK JACKET.


Book Synopsis The Korean War by : Allan R Millett

Download or read book The Korean War written by Allan R Millett and published by U of Nebraska Press. This book was released on 2007-08-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The bibliography includes references in English, Korean, Russian, and Chinese."--BOOK JACKET.


Bibliography of Social Science Periodicals and Monograph Series

Bibliography of Social Science Periodicals and Monograph Series

Author: United States. Bureau of the Census

Publisher:

Published: 1965

Total Pages: 368

ISBN-13:

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Book Synopsis Bibliography of Social Science Periodicals and Monograph Series by : United States. Bureau of the Census

Download or read book Bibliography of Social Science Periodicals and Monograph Series written by United States. Bureau of the Census and published by . This book was released on 1965 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Monthly Catalog of United States Government Publications

Monthly Catalog of United States Government Publications

Author:

Publisher:

Published:

Total Pages: 1040

ISBN-13:

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Book Synopsis Monthly Catalog of United States Government Publications by :

Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Monthly Catalogue, United States Public Documents

Monthly Catalogue, United States Public Documents

Author:

Publisher:

Published: 1993-07

Total Pages: 868

ISBN-13:

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Download or read book Monthly Catalogue, United States Public Documents written by and published by . This book was released on 1993-07 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:


AIDS Bibliography

AIDS Bibliography

Author:

Publisher:

Published: 1994-10

Total Pages: 152

ISBN-13:

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Book Synopsis AIDS Bibliography by :

Download or read book AIDS Bibliography written by and published by . This book was released on 1994-10 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:


A Bibliography of Science. Being the Sections Relating to that Subject in The Best Books and The Reader's Guide

A Bibliography of Science. Being the Sections Relating to that Subject in The Best Books and The Reader's Guide

Author: William Swan Stallybrass (formerly Sonnenschein.)

Publisher:

Published: 1897

Total Pages: 142

ISBN-13:

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Book Synopsis A Bibliography of Science. Being the Sections Relating to that Subject in The Best Books and The Reader's Guide by : William Swan Stallybrass (formerly Sonnenschein.)

Download or read book A Bibliography of Science. Being the Sections Relating to that Subject in The Best Books and The Reader's Guide written by William Swan Stallybrass (formerly Sonnenschein.) and published by . This book was released on 1897 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: